R26

Distribución espacial de datos

library(ggplot2)
library(plotly)

## 
## Attaching package: 'plotly'

## The following object is masked from 'package:ggplot2':
## 
##     last_plot

## The following object is masked from 'package:stats':
## 
##     filter

## The following object is masked from 'package:graphics':
## 
##     layout

set.seed(2292)

x2 <-c(rep(1,4), rep(2,4), rep(4,4), rep(6,4), rep(8,4))
y2 <-c(1,3,5,7,2,4,6,8,1,3,5,7,2,4,6,8,1,3,5,7)
#plot(x2,y2)

x1 <-runif(10,1,10)
y1 <-runif(10,1,10)
#plot(x1, y1)

x3 <-c(rep(1:4, 2), rep(7:10, 2))
y3 <-c(runif(4, 1, 2), runif(2, 2, 5), runif(2, 3, 6), runif(4, 7, 9), runif(4, 5, 7))
#plot(x3,y3)
datosxd1 <- data.frame(x1,y1)
datosxd2 <- data.frame(x2,y2)
datosxd3 <- data.frame(x3,y3)

xd1 <-ggplot(data = datosxd1, aes(x = x1, y = y1))+
  geom_point(colour = rgb(0.7,0.2,0.2), size = 2)
xd2 <-ggplot(data = datosxd2, aes(x = x2, y = y2))+
  geom_point(colour = rgb(0.2,0.7,0.2), size = 2)
xd3 <-ggplot(data = datosxd3, aes(x = x3, y = y3))+
  geom_point(colour = rgb(0.2,0.2,0.6), size = 2)
xdt <- subplot(xd1, xd2,xd3)

xdt %>% layout(annotations = list(
 list(x = 0.1 , y = 1.05, text = "Aleatoria", showarrow = F, xref='paper', yref='paper'),
  list(x = 0.8 , y = 1.05, text = "Agrupada", showarrow = F, xref='paper', yref='paper'),
 list(x = 0.5 , y = 1.05, text = "Regular", showarrow = F, xref='paper', yref='paper'))
)

Punto aleatorios en un punto

# Función que crea puntos aleatorios al rededor del centro de un circulo


point <- function(r) { # Función para crear cada punto
angle <- runif(1)*2*pi
length <- runif(1)*r
x <- length*sin(angle)
y <- length*cos(angle)
return (data.frame(x,y))
}

# Cuadricula
e0 <- 10
n0 <- 10
plot(e0,n0,ylab="",xlab="",ylim=c(0,2*n0),xlim=c(0,2*e0),type="n")

#Función para crear varios puntos aleatorios

n <- 1000
r <- 10
for (i in 1:n) {
a <- point(r)
e <- e0+a[1]
n <- n0+a[2]
points(e,n,pch=16,col="blue")
}

## Crea lineas en lugar de puntos para evidenciar por qué se agrupan al rededor del centro

e0 <- 10 # Direccion este
n0 <- 10 # Direccion norte
plot(e0,n0,ylab="",xlab="",ylim=c(0,2*n0),xlim=c(0,2*e0),type="n")
n <- 1000
r <- 10
for (i in 1:n) {
a <- point(r)
e <- e0+a[1]
n <- n0+a[2]
lines(c(e0,e),c(n0,n),col= "red")
}

## CASO DE 'CORTADOR DE GALLETAS'


#Hacer un mapa cuadrado de n  puntos aleatorios
n <- 10000
side <- 10
library(maptools)

## Loading required package: sp

## Checking rgeos availability: FALSE
##      Note: when rgeos is not available, polygon geometry     computations in maptools depend on gpclib,
##      which has a restricted licence. It is disabled by default;
##      to enable gpclib, type gpclibPermit()

space <- cbind((runif(n)*side),(runif(n)*side))
plot(space)

#Crear la circunferencia del cuadrante de muestreo circular

circle <- function(e,n,r) {
angle <- seq(0,2*pi,2*pi/360)
x <- r*sin(angle)
y <- r*cos(angle)
return (cbind((x+e),(y+n)))
}

xc <- 8
yc <- 8
rc <- 1

outline <- circle(xc,yc,rc)

#usar la función point.in.polygon de la librería maptools para seleccionar los puntos que estén dentro del circulo

wanted <- point.in.polygon(space[,1],space[,2],outline[,1],outline[,2])

#usar e vector llamado 'wanted' para seleccionar los puntos contenidos en el circulo

points(space[,1][wanted==1],space[,2][wanted==1], col="blue",pch=16)

#Crear un circulo más grande con centro (5,5)

xc <- 5
yc <- 5
rc <- 2
outline<-circle(xc,yc,rc)
wanted<-point.in.polygon(space[,1],space[,2],outline[,1],outline[,2])
points(space[,1][wanted==1],space[,2][wanted==1], col="red",pch=16)

Vecinos más cercanos

# dibujar lineas entre los pares de vecinos más cercanos

#computar la distancia de cada vecino

#identificar la distancia de vecino mínima de cada individuo

#usar las distancias minimas para identificar los vecinos más cercanos


#crear coordenadas xy de los puntos
x <- runif(100)
y <- runif(100)

par(pty="s")
plot(x,y,pch=21,bg="red")

#Calcul de la distancai entre dos puntos
distance <- function(x1,y1,x2,y2) sqrt((x2 - x1)^2 + (y2 - y1)^2)

#computar la distancia de cada vecino
r <- numeric(100)
nn <- numeric(100)
d <- numeric(100)
for (i in 1:100) {
for (k in 1:100) d[k] <- distance(x[i],y[i],x[k],y[k])

r[i] <- min(d[-i]) #identificar la distancia de vecino mínima de cada individuo
#usar las distancias minimas para identificar los vecinos más cercanos
nn[i] <- which(d==min(d[-i])) # [-i] es para excluir el cero que es la distanciad e i consigo mismo 
}

# dibujar lineas entre los pares de vecinos más cercanos
for (i in 1:100) lines(c(x[i],x[nn[i]]),c(y[i],y[nn[i]]),col="green") 

# ahora se identificará cuales puntos est+an más cerca del borde que de sus vecinos
#Dado que las coordenadas (x,y) dan la distancia del margen izquierdo al punto y del borde inferior al punto respectivamente solo se necesita la del margen superior y el derecho.
topd <- 1-y
rightd <- 1-x

# Distancia minima de cada individuo a un margen
edge <- pmin(x,y,topd,rightd)

# Identificar dichos puntos

sum(edge<r)

## [1] 17

plot(x,y,pch=16)
id <- which(edge<r)
points(x[id],y[id],col="red",cex=1.5,lwd=2)

#Excluir los puntos que estan mas cerca al borde que a sus vecinos hará que la distancia mínima media disminuya

mean(r)

## [1] 0.04873484

mean(r[-id])

## [1] 0.04300431

Teselación

#para teselar se utiliza el pack Tripack

library(tripack)

## Warning: package 'tripack' was built under R version 4.0.3

x<-runif(100)
y<-runif(100)

## Crear objeto de Voronoi

map<-voronoi.mosaic(x,y)

#puntos
plot(x,y,pch=16,col="green")
# Teselación
plot.voronoi(map,pch=16,add=TRUE)

Test para aleatoriedad espacial

Asumiendo que se conoce la densidad poblacional

\[ E(r)=\frac{\sqrt{p}}{2}\]

Para el ejemplo anterior con 100 individuos \(p= 0.01\) por tanto \(E(r)=0.05\)

Un indice de aleatoriedad estpa dado por la razón

\[\frac{\bar{r}}{E(r)}=\frac{2\bar{r}}{\sqrt{p}}\]

Toma el valor de 1 para patrones aleatorios, mayor de uno para patrones regulares, y menor a 1 para patrones agregado.

Esta estimación de primer orden no da una idea de cómo cambia la distribución espacial dento del area

Ripley’s K

Se puede evidenciar como las interacciones espacials cambian a traves del espacio. se puede ver un grafico de la función contra la distancia para ver como la medida de patron cambia con la escala.

Función K:

\[K(d)=\frac{1}{\lambda}E[Numero \ de \ puntos \ \leq distancia \ d \ de \ un \ punto \ arbitrario] \\ \lambda: numero \ medio \ de \ puntos \ por \ unidad \ de \ area\]

Si no hay dependencia espacial el numero de puntos esperado entre una distancia de un punto arbitrario es:

\[\lambda\pi d^2\]

Si el patrón espacial es regular \(K(d) < \pi d^2\), y si hya agrupamiento \(K(d) > \pi d^2\)

la K de Ripley se calcula de lasiguiete forma:

\[\hat{K}(d)=\frac{1}{n^2}|A|\sum \sum_{i \neq j}\frac{I_d d_{ij}}{w_{ij}}\\ n: Número \ de \ puntos \ en \ la \ región \ A \\ A: Área \\ d_{ji}: Distancias \ entre \ puntos \\ w_{i}: Efecto \ de \ los \ bordes \\ I_d d_{ij}: Indicador \ de \ que \ números \ se \ toman \ como \ vecinos \ \]

Éste valor \(K(d)\) es graficado contra la \(d\) para obtener la medida del patrón. Se compara con la curva de una aleatoriedad espacial completa (AEC*) (\(\pi d^2\) contra \(d\)).

En patrones agregados la curva se observa encima de la curva de AEC, por el contrario si el patron es regular entocnes se observa debajo.

#Calcular para un punto la distancia a los demas puntos
distances <- numeric(100)
for(i in 1:100) distances[i] <- distance(x[1],y[1],x[i],y[i])

# Cuales individuos estan dentro de la distancia d, tomando d=0.1

sum(distances<0.1)-1  ###############

## [1] 1

# matriz bidimencional para contener las disntancias de cada individuo hasta los demas.

dd <- numeric(10000)
dd <- matrix(dd,nrow=100)

#computar las distancias de cada individuo (j) y cada vecino (i)

for (j in 1:100) {for(i in 1:100) dd[j,i] <- distance(x[j],y[j],x[i],y[i])}

# calculo sin necesidad de una matriz pre-elaborada

dd <- sapply(1:100,function (i,j=1:100) distance(x[j],y[j],x[i],y[i]))

#para un individuo
sum(dd[1,]<0.1)-1

## [1] 1

# para todos los individuos

sum(dd<0.1)-100

## [1] 282

## Hay otros 282 casos donde un punto está dentro de la distancia de 0.1

#crear u vector con diferentes distancias, de las cuales se desea calcular  K(d)

d <- seq(0.01,1,0.01)

# conteo de individuos
count <- numeric(100)
#calcular conteo de cada distancia
for (i in 1:100) count[i] <- sum(dd<d[i])-100

#Escalar al dividir entre el número total de individuos al cuadrado. n^2 = 100^2=10000

K <- count/10000

plot(d,K,type="l",col="red")

#Añadir la linea de pi*d^2

lines(d,pi*d^2,col="blue")

# se evidencia que después de una distancia de 0.2 la curva deja de coincidir y se puede deber a que en los individuos marginales se calculan distancias por fuera del area de muestreo. Por ello la correción de borde es importante en el calculo de la K de Ripley.

# para ello se usa la función Kfn de la librería spatial

library(spatial)
pines <- ppinit("pines.dat") #datos de pinos
pines

## $x
##  [1] 0.1 0.1 0.2 0.2 0.7 0.9 1.1 1.3 1.4 1.6 1.7 1.7 2.0 2.1 2.3 2.4 2.5 2.6 2.7
## [20] 2.8 2.8 3.3 3.3 3.6 3.7 3.9 3.9 3.9 4.1 4.5 4.8 4.9 5.2 5.2 5.3 5.3 5.6 5.8
## [39] 5.9 6.0 6.1 6.1 6.1 6.3 6.5 6.6 6.6 6.9 7.2 7.2 7.3 7.4 7.4 7.5 7.6 7.9 8.1
## [58] 8.2 8.3 8.4 8.5 8.6 8.7 9.2 9.2 9.3 9.4 9.4 9.5 9.5 9.5
## 
## $y
##  [1] 9.9 7.2 6.2 8.4 4.5 7.5 8.5 6.3 1.6 5.4 2.6 4.1 0.2 8.0 8.7 1.1 7.0 5.7 5.4
## [20] 4.2 2.6 5.2 6.3 5.9 8.0 3.4 4.7 9.1 1.7 2.3 5.3 6.3 4.3 7.5 9.8 1.3 7.8 1.8
## [39] 6.8 5.5 4.3 3.2 2.5 4.1 8.1 8.9 1.6 0.4 5.2 6.0 4.2 3.6 5.4 9.3 1.7 8.5 4.5
## [58] 6.7 1.0 3.2 2.0 0.9 8.7 6.0 8.1 0.8 1.0 2.6 2.3 4.6 6.2
## 
## $area
##   xl   xu   yl   yu 
##  0.0  9.6  0.0 10.0

#area de graficado

par(mfrow=c(1,2),pty="s")
#mapa de coordenadas x y mas Grafico de la medida de patron

plot(pines,pch=16, col="blue")
plot(Kfn(pines,5),type="s",xlab="distance",ylab="L(t)")

# Grafico de la medida de patron

lims <- Kenvl(5,100,Psim(71))
lines(lims$x,lims$lower,lty=2,col="red")
lines(lims$x,lims$upper,lty=2,col="red")

#la linea se observa por debajo demostrando que es una distribución regular

Métodos basados en cuadrantes

set.seed(938839)

#En este metodo se utilizan cuadrantes para contar el número de idividuos en ellos

x<-runif(100)
y<-runif(100)

plot(x,y,pch=16,col="red")
grid(10,10,lty=1)

#usar la funcion cut para convertir las coordenadas xy en numeros bin

xt <- cut(x,seq(0,1,0.1))
yt <- cut(y,seq(0,1,0.1))

#contar número de individuos en cada celda

count <- as.vector (table(xt,yt))
table(count)

## count
##  0  1  2  3  4 
## 34 41 17  7  1

countesp <- as.vector(table(count))

# hay 34 celdas sin conteo, solo 1 con 4, no hay celdas con mayor conteo.


## Las frecuencias esperadas de los conteos entre 0:4
(expected <- 100*exp(-1)/sapply(0:4,factorial))

## [1] 36.787944 36.787944 18.393972  6.131324  1.532831

##Comparacion
###sum((countesp-expected)^2/countesp)

#Patron agregado y data de conteo de cuadrante

library(ggplot2)
library(plotly)
trees <- read.table("trees.txt",header=T)
names(trees)

## [1] "x" "y"

#se usa abline en lugar de grid para que la rejilla quede donde queremos

plot(trees$x,trees$y,pch=16,col="blue")
abline(v=seq(0,1,0.1),col=rgb(0.4,0.4,0.4),lty=1)
abline(h=seq(0,1,0.1),col=rgb(0.4,0.4,0.4),lty=1)

plot_ly(x = trees$x, y = trees$y) %>%
  layout(xaxis = list(showgrid = T, gridcolor = "black"),
         yaxis = list(showgrid =T, gridcolor = "black"))

## No trace type specified:
##   Based on info supplied, a 'scatter' trace seems appropriate.
##   Read more about this trace type -> https://plot.ly/r/reference/#scatter

## No scatter mode specifed:
##   Setting the mode to markers
##   Read more about this attribute -> https://plot.ly/r/reference/#scatter-mode

## Warning: `arrange_()` is deprecated as of dplyr 0.7.0.
## Please use `arrange()` instead.
## See vignette('programming') for more help
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_warnings()` to see where this warning was generated.

xtr <- cut(trees$x,10)
ytr <- cut(trees$y,10)

counttr <- as.vector(table(xtr,ytr))
table(counttr)

## counttr
##  0  1  2  3  4  5  6  7  8 
## 21 16 15 16 14 10  2  3  3

#media de conteos por celda
mean(counttr)

## [1] 2.57

# proporcion de varianza/media
var(counttr)/mean(counttr)

## [1] 1.747082

#La varianza es mayor que la media por lo que es una distribución agregada
# se puede obtener las frecuencias esperadas con una distribucion binomial negativa multiplicada por el numero de cuadrantes (100)

(mean(counttr)^2)/(var(counttr)- mean(counttr))

## [1] 3.440052

media <- mean(counttr)
taman <- mean(counttr)^2/(var(counttr)- mean(counttr))

#Frecuencias esperadas
(expected <- dnbinom(0:8, size=3.440052, mu=2.57)*100)

## [1] 14.669993 21.579919 20.486264 15.885448 10.936635  6.958964  4.185944
## [8]  2.413930  1.347076

(expected2 <- dnbinom(0:10, size=taman, mu=media)*100)

##  [1] 14.6699931 21.5799193 20.4862644 15.8854479 10.9366355  6.9589641
##  [7]  4.1859435  2.4139296  1.3470762  0.7322048  0.3895019

ht <- numeric(18)
observed <- table(counttr)
ht[seq(1,18,2)] <- observed
ht[seq(2,18,2)] <- expected
names <- rep("",18)
names[seq(1,18,2)] <- as.character(0:8)
barplot(ht,col=c(rgb(0.2,0.6,0.3),rgb(0.7,0.2,0.3)),names=names,
ylab="frequency",xlab="trees per quadrat")
legend(15,15,legend=c("observed","expected"),
fill=c(rgb(0.2,0.6,0.3),rgb(0.7,0.2,0.3)))

expected[5] <- sum(expected[5:length(expected)])
expected <- expected[-c(6:length(expected))]
observed[5] <- sum(observed[5:length(observed)])
observed <- observed[-c(6:length(observed))]
#chi cuadrado
sum((observed-expected)^2/expected)

## [1] 7.111339

#pvalor
1-pchisq(12.8,5)

## [1] 0.02532684

#se muestra que es un ajuste imperfecto (p_value < 0.05)

Contando cosas en mapas

#Si un punto cae exactamente en el eje x o el eje y se cuenta detro del area, si por el contrario cae sobre el eje superior o derecho se cuenta afuera.

plot(c(0,2),c(0,2),type="n",xlab="",ylab="")
lines(c(0,1,1,0,0),c(0,0,1,1,0))
points(c(0.5,0),c(0,0.5),pch=16,col="green",cex=1.5)
points(c(0.5,1),c(1,0.5),pch=16,col="red",cex=1.5)

#Asi se asegura no tener dobles conteos, los puntos rojos serán contados en el siguiente cuadrante adyacente.


# En la funcion cut se puede utilizar parentesis y brackets (], por defecto "right=TRUE", lo cambiamos a FALSE para tener [), que quiere decir mayor o igual a y menor que respectivamente.
set.seed(98432392)

xmy <- c(runif(50,0,1),c(1,0.234,1,0.765))
ymy <- c(runif(50,0,1),c(0.5322,1,0.9892,1))
mydataframo <- data.frame(xmy, ymy)

plot(xmy,ymy,pch=16,col="green")
points(x=c(1,0.234,1,0.765),y=c(0.5322,1,0.9892,1),pch=16,col="red")
lines(c(0,1,1,0,0),c(0,0,1,1,0),lty=2)
lines(c(0.2,0.2),c(0,1),lty=2)
lines(c(0.4,0.4),c(0,1),lty=2)
lines(c(0.6,0.6),c(0,1),lty=2)
lines(c(0.8,0.8),c(0,1),lty=2)
lines(c(0,1),c(0.2,0.2),lty=2)
lines(c(0,1),c(0.4,0.4),lty=2)
lines(c(0,1),c(0.6,0.6),lty=2)
lines(c(0,1),c(0.8,0.8),lty=2)

xc <- cut(xmy,seq(0,1,0.2),right = FALSE)
yc <- cut(ymy,seq(0,1,0.2),right = FALSE)

#tabla con los conteos por cuadrantes
table(yc,xc)

##            xc
## yc          [0,0.2) [0.2,0.4) [0.4,0.6) [0.6,0.8) [0.8,1)
##   [0,0.2)         3         0         4         0       2
##   [0.2,0.4)       0         2         3         2       1
##   [0.4,0.6)       0         1         3         1       2
##   [0.6,0.8)       3         1         5         4       1
##   [0.8,1)         4         1         2         3       2

#Revertir el orden de las filas en y

yc <- factor(yc,rev(levels(yc)))

#para porducir una talba que luce mas como mapa

table(yc,xc)

##            xc
## yc          [0,0.2) [0.2,0.4) [0.4,0.6) [0.6,0.8) [0.8,1)
##   [0.8,1)         4         1         2         3       2
##   [0.6,0.8)       3         1         5         4       1
##   [0.4,0.6)       0         1         3         1       2
##   [0.2,0.4)       0         2         3         2       1
##   [0,0.2)         3         0         4         0       2

Paquetes para estadística espacial

spatstat = análisis de patrones de puntos espaciales

creaión , manipulación, graficado de patrones de puntos analisis exploratorio de datos simulacion de modelos de procesado de puntos ajuste parametrico de modelos *Pruebas de hipótesis y diagnóstico

spdep= Análisis espacial de regiones mapeadas

computar estadistica espacial tal como Idices de Moran y “Geary’s C” crear objetos vecinos de clase \(nb\) crear listas de pesos de clase \(lw\) trabajar relaciones de vecinos de polígonos *Regiones mapeadas coloreadas en las bases de la estadistica espacial

library(spatstat)

## Warning: package 'spatstat' was built under R version 4.0.3

## Loading required package: spatstat.data

## Warning: package 'spatstat.data' was built under R version 4.0.3

## Loading required package: nlme

## Loading required package: rpart

## 
## spatstat 1.64-1       (nickname: 'Help you I can, yes!') 
## For an introduction to spatstat, type 'beginner'

## 
## Note: spatstat version 1.64-1 is out of date by more than 7 months; we recommend upgrading to the latest version.

## 
## Attaching package: 'spatstat'

## The following object is masked from 'package:spatial':
## 
##     Strauss

library(spdep)

## Warning: package 'spdep' was built under R version 4.0.3

## Loading required package: spData

## Warning: package 'spData' was built under R version 4.0.3

## To access larger datasets in this package, install the spDataLarge
## package with: `install.packages('spDataLarge',
## repos='https://nowosad.github.io/drat/', type='source')`

## Loading required package: sf

## Warning: package 'sf' was built under R version 4.0.3

## Linking to GEOS 3.8.0, GDAL 3.0.4, PROJ 6.3.1

library(ggplot2)

#spatstat

#Se usa la función ppp para crear objetos de case ppp que representan datos de patrones de puntos establecidos en un plano bidimencional.

data <- read.table("ragwortmap.txt",header=T)
names(data)

##  [1] "ROW"          "COLUMN"       "X"            "Y"            "rosette"     
##  [6] "regenerating" "stems"        "diameter"     "xcoord"       "ycoord"      
## [11] "type"

datosrw <- data[,9:11]
datosrw

##      xcoord ycoord     type
## 1        27     34 seedling
## 2        29     34 seedling
## 3        20     56 seedling
## 4        20     61 seedling
## 5        78     66 seedling
## 6        25     68 seedling
## 7        89     82 seedling
## 8        97     96 seedling
## 9       253     31 seedling
## 10      259     50 seedling
## 11      531     35 seedling
## 12      533     37 seedling
## 13      536     37 seedling
## 14      532     40 seedling
## 15      529     41 seedling
## 16      520     44 seedling
## 17      526     44 seedling
## 18      529     45 seedling
## 19      517     49 seedling
## 20      516     60 seedling
## 21      578     67 seedling
## 22      688     26  rosette
## 23      738     25 seedling
## 24      739     26 seedling
## 25      793     31  rosette
## 26      765     97 seedling
## 27      831      2 seedling
## 28      833      8 seedling
## 29      811     12 seedling
## 30      826     36 seedling
## 31      826     66 seedling
## 32      933     24 seedling
## 33      939     25 seedling
## 34      932     28 seedling
## 35      941     49 seedling
## 36      940     53 seedling
## 37      923     88 seedling
## 38      915     90 seedling
## 39     1042      8  rosette
## 40     1099     12  rosette
## 41     1020     33 skeleton
## 42     1112     15  rosette
## 43     1100     11 seedling
## 44     1166     56  rosette
## 45     1105     83 seedling
## 46     1165     99 seedling
## 47     1231      0 skeleton
## 48     1280     77 seedling
## 49     1235     99 skeleton
## 50     1239     90 skeleton
## 51     1349     99 skeleton
## 52     1361      0 seedling
## 53     1412      8  rosette
## 54     1453      2 seedling
## 55     1426     54 skeleton
## 56     1431     99 skeleton
## 57     1638     93 skeleton
## 58     1622     31 seedling
## 59     1763     95 skeleton
## 60     1753     99 skeleton
## 61     1725     67 skeleton
## 62     1716     84 skeleton
## 63     1765     66 seedling
## 64     1782     54  rosette
## 65     1781     52  rosette
## 66     1868     91 skeleton
## 67     1897     41 skeleton
## 68     1858     50 skeleton
## 69     1897     60 skeleton
## 70     1896     74 skeleton
## 71     1848     77 skeleton
## 72     1862     81 skeleton
## 73     1825      3  rosette
## 74     1830      9 seedling
## 75     1870     92 skeleton
## 76     1990     33 skeleton
## 77     1955     68 skeleton
## 78     1955     70 skeleton
## 79     1953     70 skeleton
## 80     1908     83 skeleton
## 81     1985     94 skeleton
## 82     1992     99 skeleton
## 83     1951     68 skeleton
## 84     1999     53 skeleton
## 85     1914     92 seedling
## 86     1988     49 seedling
## 87     1996     55 seedling
## 88     2078     17 skeleton
## 89     2043     64 skeleton
## 90     2005     64 skeleton
## 91     2067     83 skeleton
## 92     2086     93 skeleton
## 93     2191     69 skeleton
## 94     2206      1  rosette
## 95     2254     63  rosette
## 96     2204     99 seedling
## 97     2335     35 seedling
## 98     2372     36 seedling
## 99     2375     36 seedling
## 100    2384     47  rosette
## 101    2367     43 seedling
## 102    2333     90 skeleton
## 103    2371     99 skeleton
## 104    2338     99 seedling
## 105    2343     98 seedling
## 106    2436     11 seedling
## 107    2444     21  rosette
## 108    2449     71  rosette
## 109    2537      6  rosette
## 110    2569      2  rosette
## 111    2513     16 seedling
## 112    2543     48 skeleton
## 113    2533     78 skeleton
## 114    2524     82 skeleton
## 115    2569     63 regrowth
## 116    2587      6 skeleton
## 117    2619     24 skeleton
## 118    2680     78 seedling
## 119    2681     67 seedling
## 120    2665     66 seedling
## 121    2682     66 seedling
## 122    2676     54 seedling
## 123    2717     52 regrowth
## 124    2789     12 skeleton
## 125    2796     32 regrowth
## 126    2799     36 skeleton
## 127    2724     69 skeleton
## 128    2731     72 skeleton
## 129    2753     92 skeleton
## 130    2748     99 skeleton
## 131    2716     89 skeleton
## 132    2751     86 skeleton
## 133    2799     99 skeleton
## 134    2858     62 regrowth
## 135    2800     38 skeleton
## 136    2810     67 skeleton
## 137    2956     13 skeleton
## 138    2921     98  rosette
## 139    2941     73 seedling
## 140      73    117 seedling
## 141      61    125 seedling
## 142      88    131 seedling
## 143      89    132 seedling
## 144      88    136 seedling
## 145      36    137 seedling
## 146      66    138 seedling
## 147      71    155 seedling
## 148      63    193 seedling
## 149     116    143 seedling
## 150     131    156 seedling
## 151     114    161 seedling
## 152     230    105 seedling
## 153     229    115 seedling
## 154     267    171 seedling
## 155     389    155 skeleton
## 156     379    144 regrowth
## 157     407    136 skeleton
## 158     502    134 skeleton
## 159     588    100 skeleton
## 160     597    199 skeleton
## 161     601    191 skeleton
## 162     682    135 skeleton
## 163     646    199 seedling
## 164     680    195 seedling
## 165     779    124 seedling
## 166     716    161 seedling
## 167     789    176 regrowth
## 168     736    190 skeleton
## 169     926    144 seedling
## 170    1003    190 skeleton
## 171    1029    198 skeleton
## 172    1101    125 skeleton
## 173    1189    173 skeleton
## 174    1141    143 seedling
## 175    1231    175 skeleton
## 176    1287    181 skeleton
## 177    1277    154 skeleton
## 178    1324    147 regrowth
## 179    1333    128 skeleton
## 180    1379    194  rosette
## 181    1379    198 seedling
## 182    1421    108 skeleton
## 183    1450    122 skeleton
## 184    1407    119 skeleton
## 185    1453    130 skeleton
## 186    1456    130 skeleton
## 187    1486    136 skeleton
## 188    1454    162 skeleton
## 189    1447    173 skeleton
## 190    1425    167 seedling
## 191    1410    122 seedling
## 192    1443    147 seedling
## 193    1436    165 seedling
## 194    1585    197 seedling
## 195    1579    199 seedling
## 196    1580    197 seedling
## 197    1510    199 seedling
## 198    1613    147 skeleton
## 199    1686    160 seedling
## 200    1683    161 seedling
## 201    1690    162 seedling
## 202    1681    168 seedling
## 203    1696    122 seedling
## 204    1763    142 skeleton
## 205    1720    176 skeleton
## 206    1788    199 skeleton
## 207    1763    129 seedling
## 208    1704    109 seedling
## 209    1858    133 skeleton
## 210    1876    135 skeleton
## 211    1882    198 skeleton
## 212    1860    187 skeleton
## 213    1827    178 skeleton
## 214    1815    188 skeleton
## 215    1858    193 skeleton
## 216    1838    186 skeleton
## 217    1806    176 seedling
## 218    1809    182 seedling
## 219    1859    199 seedling
## 220    1923    117 regrowth
## 221    1961    131 seedling
## 222    1973    136 regrowth
## 223    1991    169 skeleton
## 224    1949    174 seedling
## 225    1975    185 seedling
## 226    1910    103 seedling
## 227    1948    149 seedling
## 228    1944    150 seedling
## 229    1948    152 seedling
## 230    1940    162 seedling
## 231    2060    137 skeleton
## 232    2061    145 skeleton
## 233    2097    196 skeleton
## 234    2086    103 seedling
## 235    2109    122 skeleton
## 236    2191    120 skeleton
## 237    2164    125 skeleton
## 238    2236    134 skeleton
## 239    2284    141  rosette
## 240    2246    134 skeleton
## 241    2237    170  rosette
## 242    2294    176 seedling
## 243    2285    176 seedling
## 244    2344    103 seedling
## 245    2366    139 seedling
## 246    2313    157  rosette
## 247    2379    161 regrowth
## 248    2341    168 seedling
## 249    2444    107 regrowth
## 250    2437    165 skeleton
## 251    2479    179 seedling
## 252    2478    181 seedling
## 253    2486    186 seedling
## 254    2482    188 seedling
## 255    2491    188 seedling
## 256    2473    191 seedling
## 257    2441    150 seedling
## 258    2456    127 regrowth
## 259    2489    100 seedling
## 260    2564    183 skeleton
## 261    2509    175 seedling
## 262    2539    122  rosette
## 263    2698    177 regrowth
## 264    2609    148 skeleton
## 265    2613    158 skeleton
## 266    2698    116 seedling
## 267    2755    164 skeleton
## 268    2792    184 skeleton
## 269    2836    135 regrowth
## 270    2819    156 skeleton
## 271    2813    199 skeleton
## 272    2917    100  rosette
## 273    2923    195  rosette
## 274    2953    176 skeleton
## 275    2960    143 skeleton
## 276    2940    197 skeleton
## 277    2962    148 skeleton
## 278      28    296 seedling
## 279      30    295 seedling
## 280     112    292 skeleton
## 281     135    295 skeleton
## 282     275    213 skeleton
## 283     380    241 skeleton
## 284     471    226 skeleton
## 285     446    226 skeleton
## 286     441    234 skeleton
## 287     499    208 regrowth
## 288     475    299 skeleton
## 289     478    209 skeleton
## 290     540    204 regrowth
## 291     589    220 regrowth
## 292     500    217 skeleton
## 293     528    244 regrowth
## 294     527    234 skeleton
## 295     508    258 regrowth
## 296     561    283 skeleton
## 297     541    296 skeleton
## 298     607    216 skeleton
## 299     632    220 skeleton
## 300     693    229 regrowth
## 301     657    240 skeleton
## 302     645    274 skeleton
## 303     647    291 skeleton
## 304     628    288 skeleton
## 305     655    295 skeleton
## 306     664    289 seedling
## 307     665    229 skeleton
## 308     682    242 skeleton
## 309     740    201 skeleton
## 310     732    241 skeleton
## 311     731    270 skeleton
## 312     782    285 skeleton
## 313     761    285 regrowth
## 314     700    282 regrowth
## 315     771    299 skeleton
## 316     739    210 seedling
## 317     793    267 skeleton
## 318     872    200  rosette
## 319     998    275  rosette
## 320     907    234  rosette
## 321    1002    296  rosette
## 322    1062    209 skeleton
## 323    1042    236 skeleton
## 324    1053    242 skeleton
## 325    1040    273 skeleton
## 326    1071    296 seedling
## 327    1025    242 seedling
## 328    1179    216 skeleton
## 329    1192    229  rosette
## 330    1118    231 seedling
## 331    1183    249 skeleton
## 332    1161    260 skeleton
## 333    1171    260 skeleton
## 334    1130    285 skeleton
## 335    1278    200 regrowth
## 336    1249    290 skeleton
## 337    1375    203  rosette
## 338    1323    243 regrowth
## 339    1313    247 seedling
## 340    1327    252 seedling
## 341    1380    260 seedling
## 342    1552    266 seedling
## 343    1548    269 seedling
## 344    1549    271 seedling
## 345    1544    272 seedling
## 346    1538    276 seedling
## 347    1516    276 seedling
## 348    1510    271 seedling
## 349    1565    264 seedling
## 350    1576    277 seedling
## 351    1578    278 seedling
## 352    1579    279 seedling
## 353    1558    287 seedling
## 354    1563    289 seedling
## 355    1566    290 seedling
## 356    1568    290 seedling
## 357    1573    290 seedling
## 358    1571    292 seedling
## 359    1576    295 seedling
## 360    1573    253 seedling
## 361    1654    215 seedling
## 362    1697    250 skeleton
## 363    1644    285 skeleton
## 364    1610    224 seedling
## 365    1702    289 skeleton
## 366    1721    275 skeleton
## 367    1780    225 skeleton
## 368    1729    255 skeleton
## 369    1799    210 seedling
## 370    1848    202 skeleton
## 371    1843    220 skeleton
## 372    1845    221 seedling
## 373    1858    232 skeleton
## 374    1872    214 seedling
## 375    1882    211 seedling
## 376    1883    210 seedling
## 377    1899    205 seedling
## 378    1896    204 seedling
## 379    1850    212 seedling
## 380    1877    233 skeleton
## 381    1853    236 seedling
## 382    1854    237 seedling
## 383    1886    252 seedling
## 384    1880    253 seedling
## 385    1844    292 skeleton
## 386    1804    295 skeleton
## 387    1856    299 skeleton
## 388    1941    206 skeleton
## 389    1934    244 skeleton
## 390    1999    293 skeleton
## 391    1907    239 seedling
## 392    1954    236 seedling
## 393    2039    220 skeleton
## 394    2062    231 skeleton
## 395    2019    278 skeleton
## 396    2067    299 regrowth
## 397    2068    211 seedling
## 398    2064    244 seedling
## 399    2119    222 skeleton
## 400    2131    232 skeleton
## 401    2150    282 skeleton
## 402    2171    291 regrowth
## 403    2199    261 skeleton
## 404    2130    227 seedling
## 405    2285    276 skeleton
## 406    2219    266 skeleton
## 407    2250    279 skeleton
## 408    2246    224 seedling
## 409    2282    263 seedling
## 410    2378    233 skeleton
## 411    2377    251 seedling
## 412    2372    269 seedling
## 413    2374    276 seedling
## 414    2338    275 seedling
## 415    2334    276 seedling
## 416    2331    277 seedling
## 417    2330    278 seedling
## 418    2327    277 seedling
## 419    2327    278 seedling
## 420    2327    279 seedling
## 421    2330    280 seedling
## 422    2327    282 seedling
## 423    2324    284 seedling
## 424    2371    287 seedling
## 425    2377    287 seedling
## 426    2373    290 seedling
## 427    2310    285 seedling
## 428    2356    298 seedling
## 429    2364    298 seedling
## 430    2368    298 seedling
## 431    2371    298 seedling
## 432    2360    299 seedling
## 433    2365    299 seedling
## 434    2357    299 seedling
## 435    2407    274 regrowth
## 436    2439    299  rosette
## 437    2419    299 seedling
## 438    2467    255  rosette
## 439    2481    219 seedling
## 440    2530    271 skeleton
## 441    2527    270  rosette
## 442    2567    297 skeleton
## 443    2570    299 skeleton
## 444    2625    256 skeleton
## 445    2629    290 skeleton
## 446    2762    236 skeleton
## 447    2789    225 skeleton
## 448    2736    235 regrowth
## 449    2777    213 skeleton
## 450    2713    237 skeleton
## 451    2770    242 skeleton
## 452    2786    247 skeleton
## 453    2764    255 skeleton
## 454    2769    263 skeleton
## 455    2768    268 skeleton
## 456    2762    264 regrowth
## 457    2730    278 skeleton
## 458    2734    292 skeleton
## 459    2714    299 skeleton
## 460    2858    213 regrowth
## 461    2855    224 regrowth
## 462    2867    222 skeleton
## 463    2867    233 regrowth
## 464    2812    235 skeleton
## 465    2818    230 skeleton
## 466    2856    243 skeleton
## 467    2876    256 regrowth
## 468    2863    261 skeleton
## 469    2867    299 skeleton
## 470    2998    269 skeleton
## 471    2993    288 seedling
## 472    2968    286 regrowth
## 473    2942    214 regrowth
## 474       0    388 skeleton
## 475     394    346 skeleton
## 476     321    355 skeleton
## 477     359    372 skeleton
## 478     329    382 skeleton
## 479     339    381 skeleton
## 480     344    387 skeleton
## 481     310    388 skeleton
## 482     432    314 skeleton
## 483     428    318 skeleton
## 484     477    320 skeleton
## 485     423    331 skeleton
## 486     474    334 skeleton
## 487     467    348 skeleton
## 488     413    349 regrowth
## 489     444    355 skeleton
## 490     455    360 skeleton
## 491     445    387 skeleton
## 492     430    395 skeleton
## 493     475    340 regrowth
## 494     548    307 skeleton
## 495     578    307 skeleton
## 496     543    309 skeleton
## 497     540    338 skeleton
## 498     576    341 skeleton
## 499     536    331 seedling
## 500     577    358 skeleton
## 501     538    381 skeleton
## 502     566    399 skeleton
## 503     586    367 skeleton
## 504     573    344 skeleton
## 505     630    300 skeleton
## 506     629    349 skeleton
## 507     658    383 skeleton
## 508     648    384 skeleton
## 509     666    389 skeleton
## 510     787    315 regrowth
## 511     786    325 skeleton
## 512     727    327 skeleton
## 513     793    338 skeleton
## 514     744    369 regrowth
## 515     760    370 skeleton
## 516     780    377 skeleton
## 517     780    378 seedling
## 518     792    387 skeleton
## 519     820    311 regrowth
## 520     891    366 skeleton
## 521     814    392 skeleton
## 522     916    306 skeleton
## 523     978    309 skeleton
## 524     933    309 skeleton
## 525     915    398 seedling
## 526     967    396 seedling
## 527     945    323 seedling
## 528    1025    334 skeleton
## 529    1053    389 skeleton
## 530    1006    327 skeleton
## 531    1135    312 skeleton
## 532    1108    350 skeleton
## 533    1184    388 skeleton
## 534    1200    351 skeleton
## 535    1200    388 skeleton
## 536    1337    349 skeleton
## 537    1338    381 skeleton
## 538    1382    339 seedling
## 539    1377    337 seedling
## 540    1431    321 seedling
## 541    1582    315 skeleton
## 542    1562    333 seedling
## 543    1576    304 seedling
## 544    1666    321 skeleton
## 545    1661    399 skeleton
## 546    1727    326 skeleton
## 547    1761    371 skeleton
## 548    1791    387 skeleton
## 549    1776    396 skeleton
## 550    1835    351 skeleton
## 551    1834    360 skeleton
## 552    1880    377 skeleton
## 553    1899    382 skeleton
## 554    1870    392 skeleton
## 555    1810    394 skeleton
## 556    1800    399 skeleton
## 557    1990    302 skeleton
## 558    1953    344 skeleton
## 559    1996    362 regrowth
## 560    1962    387 skeleton
## 561    1913    378 regrowth
## 562    1956    389 skeleton
## 563    1946    399 regrowth
## 564    1943    398 regrowth
## 565    2039    318 skeleton
## 566    2021    319 skeleton
## 567    2024    323 skeleton
## 568    2054    344 regrowth
## 569    2016    371 seedling
## 570    2058    365 regrowth
## 571    2048    342 seedling
## 572    2054    312 seedling
## 573    2119    301 skeleton
## 574    2132    318 skeleton
## 575    2163    341 skeleton
## 576    2142    348 skeleton
## 577    2101    392 skeleton
## 578    2273    321 skeleton
## 579    2298    302 skeleton
## 580    2253    320 skeleton
## 581    2217    336 skeleton
## 582    2250    366 skeleton
## 583    2208    369 skeleton
## 584    2220    369 skeleton
## 585    2273    373 skeleton
## 586    2351    315 skeleton
## 587    2301    301 skeleton
## 588    2337    350 regrowth
## 589    2354    358 skeleton
## 590    2324    360 skeleton
## 591    2349    364 skeleton
## 592    2317    381 skeleton
## 593    2342    387 skeleton
## 594    2342    388 skeleton
## 595    2368    388 seedling
## 596    2338    395 skeleton
## 597    2364    397 skeleton
## 598    2319    396 skeleton
## 599    2377    397 seedling
## 600    2377    399 seedling
## 601    2412    305 seedling
## 602    2424    302  rosette
## 603    2425    310  rosette
## 604    2482    361 skeleton
## 605    2467    387 seedling
## 606    2429    392  rosette
## 607    2434    392  rosette
## 608    2420    396  rosette
## 609    2471    399  rosette
## 610    2407    330  rosette
## 611    2574    327 skeleton
## 612    2571    345 skeleton
## 613    2534    328 skeleton
## 614    2574    365 regrowth
## 615    2557    368 skeleton
## 616    2555    390 skeleton
## 617    2610    312 skeleton
## 618    2614    310 skeleton
## 619    2686    338 regrowth
## 620    2613    349 skeleton
## 621    2623    357 skeleton
## 622    2650    366 regrowth
## 623    2608    371 skeleton
## 624    2641    399 skeleton
## 625    2648    306 seedling
## 626    2617    360 skeleton
## 627    2722    339 skeleton
## 628    2700    346 skeleton
## 629    2740    341 skeleton
## 630    2751    342 skeleton
## 631    2716    368 skeleton
## 632    2720    369 seedling
## 633    2729    376 skeleton
## 634    2786    340 regrowth
## 635    2786    338 skeleton
## 636    2788    361 skeleton
## 637    2757    300 skeleton
## 638    2747    372 regrowth
## 639    2800    330 skeleton
## 640    2802    350 regrowth
## 641    2835    344 skeleton
## 642    2870    357 skeleton
## 643    2827    334 skeleton
## 644    2927    327 skeleton
## 645    2990    329 skeleton
## 646    2918    351 skeleton
## 647    2940    357 regrowth
## 648    2986    314 seedling
## 649    2986    383 seedling
## 650    2962    325 seedling
## 651      16    484 regrowth
## 652     106    489 seedling
## 653     105    474 seedling
## 654     199    424 seedling
## 655     331    409 skeleton
## 656     451    403 skeleton
## 657     440    411 skeleton
## 658     403    412 skeleton
## 659     465    440 skeleton
## 660     435    444 skeleton
## 661     475    451 skeleton
## 662     448    458 skeleton
## 663     400    465 skeleton
## 664     412    471 regrowth
## 665     423    477 skeleton
## 666     407    477 skeleton
## 667     404    493 skeleton
## 668     439    499 regrowth
## 669     430    478 skeleton
## 670     461    489 skeleton
## 671     494    494 skeleton
## 672     410    440 seedling
## 673     564    406 skeleton
## 674     575    400 skeleton
## 675     519    433 skeleton
## 676     503    452 skeleton
## 677     502    468 regrowth
## 678     501    474 skeleton
## 679     590    449 skeleton
## 680     545    466 regrowth
## 681     517    480 skeleton
## 682     530    479 skeleton
## 683     581    484 skeleton
## 684     533    485 skeleton
## 685     669    401 skeleton
## 686     625    418 skeleton
## 687     675    428 skeleton
## 688     680    427 skeleton
## 689     627    428 skeleton
## 690     626    432 skeleton
## 691     662    441 skeleton
## 692     648    443 skeleton
## 693     638    444 skeleton
## 694     668    447 skeleton
## 695     663    450 skeleton
## 696     608    450 skeleton
## 697     665    449 skeleton
## 698     683    459 skeleton
## 699     685    459 skeleton
## 700     697    463 skeleton
## 701     659    485 skeleton
## 702     607    485 skeleton
## 703     601    499 skeleton
## 704     657    491 skeleton
## 705     681    460 skeleton
## 706     653    418 skeleton
## 707     672    406 seedling
## 708     787    414 skeleton
## 709     785    412 skeleton
## 710     731    414 skeleton
## 711     724    423 skeleton
## 712     720    421 skeleton
## 713     749    440 skeleton
## 714     737    441 skeleton
## 715     792    459 skeleton
## 716     741    457 skeleton
## 717     752    472 skeleton
## 718     743    478 skeleton
## 719     799    495 skeleton
## 720     767    495 skeleton
## 721     758    488 skeleton
## 722     738    419 skeleton
## 723     824    418 skeleton
## 724     819    448 skeleton
## 725     813    483 skeleton
## 726     844    490 skeleton
## 727     841    495 skeleton
## 728     826    497 skeleton
## 729     818    499 skeleton
## 730     958    499 seedling
## 731     941    480 seedling
## 732     948    464 seedling
## 733     949    460 seedling
## 734     939    417 seedling
## 735     941    422 seedling
## 736     944    421 seedling
## 737     902    402 seedling
## 738    1054    481 skeleton
## 739    1059    483 skeleton
## 740    1082    426  rosette
## 741    1168    469  rosette
## 742    1286    410 skeleton
## 743    1280    414 skeleton
## 744    1268    417 skeleton
## 745    1243    418 skeleton
## 746    1279    429 skeleton
## 747    1289    436 skeleton
## 748    1267    496 seedling
## 749    1284    484 seedling
## 750    1248    451 seedling
## 751    1374    467 skeleton
## 752    1375    466 skeleton
## 753    1368    478 skeleton
## 754    1380    480 skeleton
## 755    1311    482 skeleton
## 756    1316    493 skeleton
## 757    1406    432 seedling
## 758    1561    435 skeleton
## 759    1530    476 skeleton
## 760    1505    497 skeleton
## 761    1560    492 skeleton
## 762    1591    489 skeleton
## 763    1581    495 skeleton
## 764    1590    499 skeleton
## 765    1537    467 skeleton
## 766    1503    420 seedling
## 767    1594    496 seedling
## 768    1682    412 skeleton
## 769    1635    419 skeleton
## 770    1671    440 skeleton
## 771    1638    445 skeleton
## 772    1625    474 skeleton
## 773    1667    476 regrowth
## 774    1667    477 skeleton
## 775    1645    484 skeleton
## 776    1652    488 skeleton
## 777    1655    496 skeleton
## 778    1640    499 skeleton
## 779    1771    403 skeleton
## 780    1725    405 skeleton
## 781    1765    412 skeleton
## 782    1783    416 skeleton
## 783    1756    419 skeleton
## 784    1712    435 skeleton
## 785    1719    440 skeleton
## 786    1734    451 regrowth
## 787    1878    419 skeleton
## 788    1837    422 skeleton
## 789    1857    441 skeleton
## 790    1896    468 skeleton
## 791    1841    486 skeleton
## 792    1886    486 skeleton
## 793    1980    411 skeleton
## 794    1941    436 skeleton
## 795    1972    439 skeleton
## 796    1941    439 skeleton
## 797    1993    444 skeleton
## 798    1999    447 skeleton
## 799    1936    462 skeleton
## 800    1977    468 skeleton
## 801    1982    472 skeleton
## 802    1982    474 skeleton
## 803    1971    481 skeleton
## 804    1990    482 skeleton
## 805    2019    407 skeleton
## 806    2007    411 skeleton
## 807    2051    417 skeleton
## 808    2015    419 skeleton
## 809    2081    446 skeleton
## 810    2050    452 skeleton
## 811    2061    453 skeleton
## 812    2086    464 regrowth
## 813    2054    471 skeleton
## 814    2005    476 skeleton
## 815    2059    486 skeleton
## 816    2079    491 skeleton
## 817    2002    492 skeleton
## 818    2024    493 skeleton
## 819    2082    497 skeleton
## 820    2098    494 skeleton
## 821    2015    448 skeleton
## 822    2108    403 skeleton
## 823    2169    428 skeleton
## 824    2197    440 skeleton
## 825    2184    468 skeleton
## 826    2197    471 skeleton
## 827    2116    477 skeleton
## 828    2131    487 skeleton
## 829    2125    491 skeleton
## 830    2127    493 skeleton
## 831    2119    494 skeleton
## 832    2120    427  rosette
## 833    2251    418 skeleton
## 834    2244    424 skeleton
## 835    2252    424 skeleton
## 836    2267    428  rosette
## 837    2276    435 skeleton
## 838    2256    438 skeleton
## 839    2284    447 skeleton
## 840    2283    445 skeleton
## 841    2279    462 skeleton
## 842    2271    466 skeleton
## 843    2276    473 skeleton
## 844    2228    488 seedling
## 845    2281    468 seedling
## 846    2328    413 skeleton
## 847    2361    486 regrowth
## 848    2380    406  rosette
## 849    2384    416  rosette
## 850    2387    426 seedling
## 851    2372    448 seedling
## 852    2392    485 seedling
## 853    2385    454 seedling
## 854    2434    499 regrowth
## 855    2476    474  rosette
## 856    2483    457  rosette
## 857    2467    456 seedling
## 858    2461    454 seedling
## 859    2464    454 seedling
## 860    2468    452 seedling
## 861    2483    452  rosette
## 862    2464    449 seedling
## 863    2479    447 seedling
## 864    2470    448 seedling
## 865    2468    447 seedling
## 866    2466    441 seedling
## 867    2465    440 seedling
## 868    2484    442 seedling
## 869    2485    437 seedling
## 870    2424    441 seedling
## 871    2460    436 seedling
## 872    2423    442 seedling
## 873    2462    429  rosette
## 874    2469    416 seedling
## 875    2471    415 seedling
## 876    2469    414 seedling
## 877    2467    402  rosette
## 878    2569    413 skeleton
## 879    2595    413 skeleton
## 880    2591    422 skeleton
## 881    2592    428 skeleton
## 882    2507    441 regrowth
## 883    2575    446 skeleton
## 884    2564    444 skeleton
## 885    2523    454 skeleton
## 886    2579    462 skeleton
## 887    2593    470 skeleton
## 888    2594    471 skeleton
## 889    2573    498 skeleton
## 890    2627    417 regrowth
## 891    2636    420 regrowth
## 892    2600    436 skeleton
## 893    2685    434 regrowth
## 894    2680    443 skeleton
## 895    2686    439 skeleton
## 896    2666    493 skeleton
## 897    2790    406 skeleton
## 898    2793    406 skeleton
## 899    2732    416 skeleton
## 900    2712    422 skeleton
## 901    2730    419 skeleton
## 902    2745    412 skeleton
## 903    2756    418 skeleton
## 904    2770    407 skeleton
## 905    2750    412 skeleton
## 906    2780    417 skeleton
## 907    2790    446 skeleton
## 908    2737    460 skeleton
## 909    2723    453 skeleton
## 910    2729    462 skeleton
## 911    2721    467 skeleton
## 912    2782    471 regrowth
## 913    2720    482 skeleton
## 914    2744    473 skeleton
## 915    2758    452 skeleton
## 916    2814    405 skeleton
## 917    2865    409 skeleton
## 918    2863    416 skeleton
## 919    2877    424 skeleton
## 920    2878    430 skeleton
## 921    2800    459 skeleton
## 922    2800    465 regrowth
## 923    2812    463 skeleton
## 924    2979    436 skeleton
## 925    2960    418  rosette
## 926    2951    426 seedling
## 927    2967    431 seedling
## 928    2967    436 seedling
## 929    2965    437 seedling
## 930    2960    442 seedling
## 931    2958    444 seedling
## 932    2915    487 seedling
## 933      58    593 skeleton
## 934     190    599 skeleton
## 935     290    556 skeleton
## 936     276    550 skeleton
## 937     291    556 skeleton
## 938     229    581 skeleton
## 939     237    591 skeleton
## 940     300    546 regrowth
## 941     300    548 skeleton
## 942     342    518 skeleton
## 943     375    554 regrowth
## 944     376    561 skeleton
## 945     379    597 regrowth
## 946     398    530 regrowth
## 947     400    516 skeleton
## 948     420    510 skeleton
## 949     420    515 skeleton
## 950     485    563 skeleton
## 951     487    568 skeleton
## 952     429    570 skeleton
## 953     469    588 skeleton
## 954     573    507 skeleton
## 955     548    514 skeleton
## 956     560    517 skeleton
## 957     528    526 skeleton
## 958     535    528 seedling
## 959     564    525 seedling
## 960     537    561 skeleton
## 961     523    565 skeleton
## 962     535    568 skeleton
## 963     528    570 skeleton
## 964     589    537 skeleton
## 965     650    509 skeleton
## 966     680    595 seedling
## 967     676    589 seedling
## 968     669    586 seedling
## 969     683    579 seedling
## 970     676    560 seedling
## 971     606    515 seedling
## 972     716    510 skeleton
## 973     770    520 skeleton
## 974     777    519 skeleton
## 975     770    519 skeleton
## 976     732    520 skeleton
## 977     757    526 skeleton
## 978     769    528 skeleton
## 979     708    545 skeleton
## 980     705    549 skeleton
## 981     828    526 skeleton
## 982     819    531 skeleton
## 983     802    528 skeleton
## 984     825    536 skeleton
## 985     817    552 skeleton
## 986     848    509 seedling
## 987     938    526 skeleton
## 988     924    530 skeleton
## 989     937    544 skeleton
## 990     968    547 skeleton
## 991     919    561 skeleton
## 992     917    503 skeleton
## 993     989    512 seedling
## 994     983    514 seedling
## 995    1008    594 skeleton
## 996    1036    599  rosette
## 997    1048    598 seedling
## 998    1052    598  rosette
## 999    1087    594  rosette
## 1000   1086    591 seedling
## 1001   1097    577 seedling
## 1002   1095    552 seedling
## 1003   1011    520 seedling
## 1004   1158    524  rosette
## 1005   1184    525 seedling
## 1006   1290    508 skeleton
## 1007   1293    515 skeleton
## 1008   1240    589 skeleton
## 1009   1273    591 skeleton
## 1010   1253    527 seedling
## 1011   1321    556 regrowth
## 1012   1332    564 skeleton
## 1013   1350    573 seedling
## 1014   1354    571 seedling
## 1015   1375    510  rosette
## 1016   1476    563 skeleton
## 1017   1423    577 skeleton
## 1018   1485    578 skeleton
## 1019   1477    583  rosette
## 1020   1440    596 skeleton
## 1021   1404    582 seedling
## 1022   1522    526 skeleton
## 1023   1520    527 skeleton
## 1024   1511    539 skeleton
## 1025   1553    541 skeleton
## 1026   1576    542 skeleton
## 1027   1575    541 skeleton
## 1028   1573    591 skeleton
## 1029   1558    595 skeleton
## 1030   1581    595 skeleton
## 1031   1504    577 seedling
## 1032   1644    504 skeleton
## 1033   1639    540 skeleton
## 1034   1629    540 skeleton
## 1035   1623    542 skeleton
## 1036   1622    556 skeleton
## 1037   1661    571 skeleton
## 1038   1634    584 skeleton
## 1039   1648    592 skeleton
## 1040   1759    513 skeleton
## 1041   1744    512 skeleton
## 1042   1737    516 skeleton
## 1043   1736    520 skeleton
## 1044   1720    522 skeleton
## 1045   1781    527 skeleton
## 1046   1778    529 skeleton
## 1047   1776    530 skeleton
## 1048   1713    539 skeleton
## 1049   1703    544 skeleton
## 1050   1761    545 skeleton
## 1051   1775    552 skeleton
## 1052   1778    552 skeleton
## 1053   1780    544 skeleton
## 1054   1722    559 skeleton
## 1055   1707    564 skeleton
## 1056   1798    556 skeleton
## 1057   1716    573 skeleton
## 1058   1745    588 skeleton
## 1059   1730    565 skeleton
## 1060   1814    546 skeleton
## 1061   1806    541 skeleton
## 1062   1846    580 skeleton
## 1063   1816    567 skeleton
## 1064   1874    578 skeleton
## 1065   1802    587 skeleton
## 1066   1805    582 skeleton
## 1067   1878    593 skeleton
## 1068   1850    599 skeleton
## 1069   1834    599 skeleton
## 1070   1899    516 seedling
## 1071   1899    513 seedling
## 1072   1890    520 seedling
## 1073   1892    522 seedling
## 1074   1895    527 seedling
## 1075   1898    547  rosette
## 1076   1900    507 seedling
## 1077   1901    509 seedling
## 1078   1905    510 seedling
## 1079   1910    509  rosette
## 1080   1909    526 seedling
## 1081   1925    523  rosette
## 1082   1996    518 skeleton
## 1083   1960    537 skeleton
## 1084   1963    538 skeleton
## 1085   1954    568 skeleton
## 1086   1956    568 skeleton
## 1087   1993    574 skeleton
## 1088   1922    594 skeleton
## 1089   1955    599 skeleton
## 1090   2040    511 skeleton
## 1091   2052    534 skeleton
## 1092   2033    537 skeleton
## 1093   2027    539 skeleton
## 1094   2041    547 skeleton
## 1095   2066    567 skeleton
## 1096   2001    578 skeleton
## 1097   2031    572 skeleton
## 1098   2045    595 skeleton
## 1099   2099    547 skeleton
## 1100   2133    507 skeleton
## 1101   2148    514 skeleton
## 1102   2140    516 skeleton
## 1103   2150    520 skeleton
## 1104   2149    522 skeleton
## 1105   2168    528 skeleton
## 1106   2115    549 skeleton
## 1107   2116    556 skeleton
## 1108   2114    563 skeleton
## 1109   2106    589 skeleton
## 1110   2192    571  rosette
## 1111   2166    559 skeleton
## 1112   2290    508 skeleton
## 1113   2251    509 skeleton
## 1114   2267    530 skeleton
## 1115   2232    550 skeleton
## 1116   2260    589  rosette
## 1117   2358    594  rosette
## 1118   2336    581 seedling
## 1119   2388    549  rosette
## 1120   2416    510 skeleton
## 1121   2422    517 skeleton
## 1122   2433    502 seedling
## 1123   2477    556 seedling
## 1124   2563    543 skeleton
## 1125   2548    583 skeleton
## 1126   2531    593 skeleton
## 1127   2539    529  rosette
## 1128   2678    516 skeleton
## 1129   2650    532 skeleton
## 1130   2702    508 skeleton
## 1131   2738    510 skeleton
## 1132   2744    540 skeleton
## 1133   2735    543 skeleton
## 1134   2712    552 skeleton
## 1135   2700    538 skeleton
## 1136   2720    559 skeleton
## 1137   2772    584 skeleton
## 1138   2770    587 skeleton
## 1139   2792    569 skeleton
## 1140   2738    568 skeleton
## 1141   2793    541 seedling
## 1142   2879    517 skeleton
## 1143   2800    576 skeleton
## 1144   2983    537 skeleton
## 1145   2980    574 skeleton
## 1146     26    613 skeleton
## 1147     58    682 skeleton
## 1148    142    635 skeleton
## 1149    147    627 skeleton
## 1150    170    623 skeleton
## 1151    189    600 skeleton
## 1152    151    631 skeleton
## 1153    181    676 skeleton
## 1154    177    682 skeleton
## 1155    178    683 skeleton
## 1156    190    688 skeleton
## 1157    176    626 skeleton
## 1158    248    626 regrowth
## 1159    279    626 regrowth
## 1160    298    629 regrowth
## 1161    243    630 skeleton
## 1162    389    604 skeleton
## 1163    337    614 skeleton
## 1164    313    631 skeleton
## 1165    400    614 skeleton
## 1166    418    620 skeleton
## 1167    474    631 skeleton
## 1168    468    643 skeleton
## 1169    464    696 skeleton
## 1170    514    636 skeleton
## 1171    661    619 seedling
## 1172    667    617 seedling
## 1173    668    624 seedling
## 1174    684    625 seedling
## 1175    680    628 seedling
## 1176    686    634 seedling
## 1177    683    638  rosette
## 1178    661    643 seedling
## 1179    676    649 seedling
## 1180    654    681  rosette
## 1181    790    686 seedling
## 1182    749    667 seedling
## 1183    770    640 seedling
## 1184    889    668 skeleton
## 1185    883    691 skeleton
## 1186    874    698 skeleton
## 1187    849    698 seedling
## 1188    994    687  rosette
## 1189   1085    600  rosette
## 1190   1098    602  rosette
## 1191   1048    602  rosette
## 1192   1001    608  rosette
## 1193   1038    619  rosette
## 1194   1086    633  rosette
## 1195   1048    642  rosette
## 1196   1045    646 seedling
## 1197   1064    654 seedling
## 1198   1071    659 seedling
## 1199   1054    662  rosette
## 1200   1065    663  rosette
## 1201   1038    662 skeleton
## 1202   1051    671 seedling
## 1203   1016    686  rosette
## 1204   1198    676 skeleton
## 1205   1131    699 skeleton
## 1206   1104    602 skeleton
## 1207   1164    690 seedling
## 1208   1261    607 skeleton
## 1209   1292    607 seedling
## 1210   1203    696 seedling
## 1211   1330    608  rosette
## 1212   1390    633 skeleton
## 1213   1367    635 skeleton
## 1214   1481    653 skeleton
## 1215   1423    652 skeleton
## 1216   1429    655 skeleton
## 1217   1492    675 skeleton
## 1218   1418    629 seedling
## 1219   1402    653 seedling
## 1220   1520    605 skeleton
## 1221   1500    620 skeleton
## 1222   1507    627 skeleton
## 1223   1509    630 skeleton
## 1224   1574    600 skeleton
## 1225   1573    639 skeleton
## 1226   1547    649 skeleton
## 1227   1586    651 skeleton
## 1228   1503    664 skeleton
## 1229   1538    669 skeleton
## 1230   1569    686 skeleton
## 1231   1564    690 skeleton
## 1232   1618    611 skeleton
## 1233   1616    623 skeleton
## 1234   1660    642 skeleton
## 1235   1626    644 skeleton
## 1236   1624    652 skeleton
## 1237   1626    652 skeleton
## 1238   1618    646 skeleton
## 1239   1667    645 skeleton
## 1240   1635    636 skeleton
## 1241   1679    656 skeleton
## 1242   1616    642 skeleton
## 1243   1688    666 skeleton
## 1244   1627    660 skeleton
## 1245   1646    665 skeleton
## 1246   1621    666 skeleton
## 1247   1673    658 skeleton
## 1248   1651    686 skeleton
## 1249   1657    697 seedling
## 1250   1676    663 skeleton
## 1251   1739    602 skeleton
## 1252   1728    613 skeleton
## 1253   1736    617 skeleton
## 1254   1717    617 skeleton
## 1255   1706    659 skeleton
## 1256   1742    684 skeleton
## 1257   1742    697 seedling
## 1258   1822    607 skeleton
## 1259   1800    642 skeleton
## 1260   1848    638 skeleton
## 1261   1834    662 skeleton
## 1262   1823    680 skeleton
## 1263   1847    682 skeleton
## 1264   1890    698  rosette
## 1265   1894    692  rosette
## 1266   1866    636 seedling
## 1267   1998    629 skeleton
## 1268   1901    645  rosette
## 1269   1914    654 seedling
## 1270   1966    653  rosette
## 1271   1945    641 seedling
## 1272   1916    651 seedling
## 1273   1914    652 seedling
## 1274   1913    657 seedling
## 1275   1925    666  rosette
## 1276   1907    673  rosette
## 1277   1935    667  rosette
## 1278   1904    690 seedling
## 1279   1902    699 seedling
## 1280   1943    693 seedling
## 1281   1944    698 seedling
## 1282   1977    653 seedling
## 1283   1956    659 seedling
## 1284   1957    672 seedling
## 1285   2032    624 skeleton
## 1286   2003    634 skeleton
## 1287   2062    652 skeleton
## 1288   2079    642 skeleton
## 1289   2098    655 skeleton
## 1290   2090    601 skeleton
## 1291   2078    607 skeleton
## 1292   2106    621 skeleton
## 1293   2143    612 skeleton
## 1294   2156    624 skeleton
## 1295   2180    645 skeleton
## 1296   2145    677 skeleton
## 1297   2159    681 skeleton
## 1298   2161    633  rosette
## 1299   2110    639 seedling
## 1300   2100    641 seedling
## 1301   2111    643 seedling
## 1302   2279    628 skeleton
## 1303   2285    625 skeleton
## 1304   2230    622 skeleton
## 1305   2231    607 skeleton
## 1306   2246    615 skeleton
## 1307   2217    643 skeleton
## 1308   2298    690 skeleton
## 1309   2299    681 skeleton
## 1310   2299    649 seedling
## 1311   2294    652 seedling
## 1312   2279    650 seedling
## 1313   2264    662  rosette
## 1314   2269    662  rosette
## 1315   2271    672 seedling
## 1316   2292    671 seedling
## 1317   2265    674 seedling
## 1318   2270    675  rosette
## 1319   2294    674  rosette
## 1320   2275    677  rosette
## 1321   2290    678 seedling
## 1322   2294    680 seedling
## 1323   2292    683 seedling
## 1324   2288    692 seedling
## 1325   2290    684 seedling
## 1326   2278    686 seedling
## 1327   2288    687 seedling
## 1328   2288    691 seedling
## 1329   2275    691 seedling
## 1330   2364    610 skeleton
## 1331   2325    670 skeleton
## 1332   2317    673 skeleton
## 1333   2305    680 skeleton
## 1334   2302    692 regrowth
## 1335   2307    638  rosette
## 1336   2302    642 seedling
## 1337   2312    647  rosette
## 1338   2326    647 seedling
## 1339   2318    649 seedling
## 1340   2316    659 seedling
## 1341   2307    676 seedling
## 1342   2300    678 seedling
## 1343   2304    699 skeleton
## 1344   2414    651 skeleton
## 1345   2443    668 skeleton
## 1346   2460    678 skeleton
## 1347   2463    679 skeleton
## 1348   2450    685 regrowth
## 1349   2422    698 regrowth
## 1350   2447    685 seedling
## 1351   2525    602 skeleton
## 1352   2537    608 regrowth
## 1353   2542    620 skeleton
## 1354   2517    691 regrowth
## 1355   2531    699 skeleton
## 1356   2589    699 skeleton
## 1357   2566    681 regrowth
## 1358   2699    637 skeleton
## 1359   2699    699 skeleton
## 1360   2652    627 skeleton
## 1361   2662    630 skeleton
## 1362   2636    699 skeleton
## 1363   2672    670  rosette
## 1364   2659    671 seedling
## 1365   2715    610 skeleton
## 1366   2702    622 skeleton
## 1367   2741    699 skeleton
## 1368   2761    654 seedling
## 1369   2756    654 seedling
## 1370   2756    656 seedling
## 1371   2753    650 seedling
## 1372   2860    646 skeleton
## 1373   2862    653 skeleton
## 1374   2861    653 skeleton
## 1375   2890    699 regrowth
## 1376   2899    635 seedling
## 1377   2889    636 seedling
## 1378   2999    675 skeleton
## 1379   2998    694 skeleton
## 1380   2971    671 skeleton
## 1381   2911    696 skeleton
## 1382   2951    679 skeleton
## 1383   2926    674 seedling
## 1384     39    769 skeleton
## 1385    108    722 skeleton
## 1386    106    744 skeleton
## 1387    144    794 skeleton
## 1388    282    799 regrowth
## 1389    247    716  rosette
## 1390    303    770 skeleton
## 1391    395    744 skeleton
## 1392    401    725 skeleton
## 1393    402    734 regrowth
## 1394    420    785 skeleton
## 1395    464    749 skeleton
## 1396    635    712 seedling
## 1397    622    724 seedling
## 1398    650    731 seedling
## 1399    654    732  rosette
## 1400    644    734 seedling
## 1401    624    743 seedling
## 1402    628    743 seedling
## 1403    654    750 seedling
## 1404    634    757 seedling
## 1405    619    789 seedling
## 1406    648    793 seedling
## 1407    769    764 skeleton
## 1408    734    771 skeleton
## 1409    789    777 skeleton
## 1410    791    778 skeleton
## 1411    774    783 skeleton
## 1412    768    790 skeleton
## 1413    728    795 skeleton
## 1414    753    799 skeleton
## 1415    723    708 seedling
## 1416    772    704 seedling
## 1417    882    707 skeleton
## 1418    863    716 skeleton
## 1419    854    725 skeleton
## 1420    871    777 skeleton
## 1421    893    793 skeleton
## 1422    900    776 skeleton
## 1423    987    726 seedling
## 1424    979    727 seedling
## 1425    999    731 seedling
## 1426    962    735 seedling
## 1427    971    742 seedling
## 1428    970    743 seedling
## 1429    979    745 seedling
## 1430    957    747 seedling
## 1431    960    748 seedling
## 1432    961    749 seedling
## 1433    942    764 skeleton
## 1434   1116    711 skeleton
## 1435   1131    761  rosette
## 1436   1163    736  rosette
## 1437   1292    795 seedling
## 1438   1281    792 seedling
## 1439   1247    791 seedling
## 1440   1294    748 seedling
## 1441   1302    764  rosette
## 1442   1310    783 seedling
## 1443   1302    787 seedling
## 1444   1360    758 seedling
## 1445   1321    704  rosette
## 1446   1442    717 skeleton
## 1447   1458    744 skeleton
## 1448   1458    752 skeleton
## 1449   1444    756 skeleton
## 1450   1468    731 skeleton
## 1451   1478    734 skeleton
## 1452   1403    756 skeleton
## 1453   1471    762 skeleton
## 1454   1462    775 skeleton
## 1455   1491    767 skeleton
## 1456   1429    781 skeleton
## 1457   1409    784 skeleton
## 1458   1434    799 skeleton
## 1459   1457    700 skeleton
## 1460   1404    737  rosette
## 1461   1502    710 skeleton
## 1462   1575    708 skeleton
## 1463   1570    710 skeleton
## 1464   1549    727 skeleton
## 1465   1598    738 skeleton
## 1466   1518    752 seedling
## 1467   1602    799 skeleton
## 1468   1695    763 skeleton
## 1469   1692    763 skeleton
## 1470   1648    703 seedling
## 1471   1679    702 seedling
## 1472   1681    704 seedling
## 1473   1650    714 seedling
## 1474   1710    707 skeleton
## 1475   1753    759 skeleton
## 1476   1778    792 skeleton
## 1477   1772    736 seedling
## 1478   1771    734 seedling
## 1479   1736    702  rosette
## 1480   1817    706 skeleton
## 1481   1858    731 skeleton
## 1482   1822    739 skeleton
## 1483   1828    752 skeleton
## 1484   1887    700  rosette
## 1485   1897    700 seedling
## 1486   1889    710  rosette
## 1487   1888    705 seedling
## 1488   1886    717  rosette
## 1489   1885    728  rosette
## 1490   1899    743 seedling
## 1491   1821    757 seedling
## 1492   1876    776 seedling
## 1493   1906    706  rosette
## 1494   1909    713  rosette
## 1495   1903    720  rosette
## 1496   1936    700 seedling
## 1497   1937    703 seedling
## 1498   1944    709 seedling
## 1499   1923    727 seedling
## 1500   1972    737 seedling
## 1501   1910    757 seedling
## 1502   1913    766 seedling
## 1503   1900    772 seedling
## 1504   1962    761 seedling
## 1505   1999    792 seedling
## 1506   2045    706  rosette
## 1507   2060    707 seedling
## 1508   2052    703 seedling
## 1509   2063    706 seedling
## 1510   2007    727 skeleton
## 1511   2125    717 skeleton
## 1512   2119    719 skeleton
## 1513   2148    728 skeleton
## 1514   2135    726 skeleton
## 1515   2118    727 skeleton
## 1516   2199    761 skeleton
## 1517   2103    778 skeleton
## 1518   2127    786 skeleton
## 1519   2156    784 skeleton
## 1520   2138    791 skeleton
## 1521   2100    793 skeleton
## 1522   2165    792 skeleton
## 1523   2173    797 skeleton
## 1524   2144    796 skeleton
## 1525   2117    799 skeleton
## 1526   2122    700 skeleton
## 1527   2228    718 skeleton
## 1528   2259    726 skeleton
## 1529   2278    749 skeleton
## 1530   2276    760 skeleton
## 1531   2228    761 skeleton
## 1532   2249    763 skeleton
## 1533   2262    770 skeleton
## 1534   2266    772 skeleton
## 1535   2229    775 skeleton
## 1536   2218    787  rosette
## 1537   2269    798 skeleton
## 1538   2346    713 regrowth
## 1539   2349    715 regrowth
## 1540   2352    721 seedling
## 1541   2353    722 seedling
## 1542   2347    723 seedling
## 1543   2354    725 seedling
## 1544   2354    727 seedling
## 1545   2353    721 skeleton
## 1546   2392    749 skeleton
## 1547   2302    776 skeleton
## 1548   2304    776 skeleton
## 1549   2346    782 skeleton
## 1550   2309    790 skeleton
## 1551   2372    798 skeleton
## 1552   2383    796 skeleton
## 1553   2464    704 skeleton
## 1554   2457    706 skeleton
## 1555   2424    711 skeleton
## 1556   2481    719 skeleton
## 1557   2493    723 skeleton
## 1558   2416    723 skeleton
## 1559   2418    729 skeleton
## 1560   2473    730 skeleton
## 1561   2484    734 skeleton
## 1562   2452    742 skeleton
## 1563   2409    759 regrowth
## 1564   2486    764 skeleton
## 1565   2448    762 skeleton
## 1566   2411    771 skeleton
## 1567   2496    795 regrowth
## 1568   2563    703 skeleton
## 1569   2595    718 skeleton
## 1570   2551    721 skeleton
## 1571   2533    721 skeleton
## 1572   2589    758 skeleton
## 1573   2512    764 skeleton
## 1574   2511    766 regrowth
## 1575   2573    776 skeleton
## 1576   2565    774 skeleton
## 1577   2572    773 skeleton
## 1578   2570    786 skeleton
## 1579   2509    754 regrowth
## 1580   2656    711 skeleton
## 1581   2634    713 skeleton
## 1582   2627    722 skeleton
## 1583   2626    757 skeleton
## 1584   2631    761 skeleton
## 1585   2635    767 skeleton
## 1586   2646    779 regrowth
## 1587   2672    799 skeleton
## 1588   2706    709 skeleton
## 1589   2727    754 skeleton
## 1590   2703    779 skeleton
## 1591   2880    710 skeleton
## 1592   2883    728 skeleton
## 1593   2851    729 regrowth
## 1594   2896    771 skeleton
## 1595   2893    785 skeleton
## 1596   2952    766 skeleton
## 1597   2958    774 skeleton
## 1598   2901    798 skeleton
## 1599   2906    799 skeleton
## 1600   2926    735  rosette
## 1601      0    869 skeleton
## 1602     23    841 regrowth
## 1603    101    824 skeleton
## 1604    129    816 skeleton
## 1605    111    887 skeleton
## 1606    224    822 skeleton
## 1607    269    844 skeleton
## 1608    288    866 skeleton
## 1609    269    875 skeleton
## 1610    279    878 skeleton
## 1611    367    848 skeleton
## 1612    318    856 regrowth
## 1613    331    866 skeleton
## 1614    321    876 skeleton
## 1615    303    832 seedling
## 1616    449    899 skeleton
## 1617    451    898 seedling
## 1618    500    822 skeleton
## 1619    547    827 skeleton
## 1620    515    836 skeleton
## 1621    555    855 skeleton
## 1622    556    861 skeleton
## 1623    544    872 skeleton
## 1624    599    877 skeleton
## 1625    587    898 skeleton
## 1626    551    863 seedling
## 1627    551    865 seedling
## 1628    504    822 skeleton
## 1629    606    828 skeleton
## 1630    623    878 skeleton
## 1631    642    881 skeleton
## 1632    652    882 skeleton
## 1633    617    891 skeleton
## 1634    646    899 skeleton
## 1635    679    897 skeleton
## 1636    622    829 seedling
## 1637    607    844 seedling
## 1638    672    888 seedling
## 1639    604    893 seedling
## 1640    751    899 seedling
## 1641    800    804 skeleton
## 1642    855    847 seedling
## 1643    946    820 seedling
## 1644    968    831 seedling
## 1645    946    871 seedling
## 1646    957    872 seedling
## 1647   1379    806 skeleton
## 1648   1365    801 skeleton
## 1649   1381    821 skeleton
## 1650   1382    822 skeleton
## 1651   1378    821 skeleton
## 1652   1379    822 skeleton
## 1653   1339    879 skeleton
## 1654   1372    853 skeleton
## 1655   1398    854 skeleton
## 1656   1388    861 skeleton
## 1657   1386    892 skeleton
## 1658   1378    888 seedling
## 1659   1398    874 seedling
## 1660   1391    833 skeleton
## 1661   1384    821 skeleton
## 1662   1410    801 skeleton
## 1663   1426    800 skeleton
## 1664   1437    813 skeleton
## 1665   1454    821 regrowth
## 1666   1443    814 skeleton
## 1667   1463    839 skeleton
## 1668   1425    868 skeleton
## 1669   1419    875 skeleton
## 1670   1448    877 skeleton
## 1671   1469    881 skeleton
## 1672   1421    876 skeleton
## 1673   1425    887 skeleton
## 1674   1478    897 skeleton
## 1675   1426    898 skeleton
## 1676   1426    889 skeleton
## 1677   1407    864 skeleton
## 1678   1437    898 skeleton
## 1679   1443    899 skeleton
## 1680   1552    862 skeleton
## 1681   1517    872 skeleton
## 1682   1543    888 skeleton
## 1683   1548    889 skeleton
## 1684   1546    895 skeleton
## 1685   1502    884 skeleton
## 1686   1554    837 seedling
## 1687   1554    838 seedling
## 1688   1577    838 seedling
## 1689   1578    838 seedling
## 1690   1579    839 seedling
## 1691   1559    843 seedling
## 1692   1552    846 seedling
## 1693   1558    849 seedling
## 1694   1554    849 seedling
## 1695   1557    850 seedling
## 1696   1559    854 seedling
## 1697   1558    855 seedling
## 1698   1617    831 skeleton
## 1699   1619    833 skeleton
## 1700   1793    829 seedling
## 1701   1786    893 seedling
## 1702   1741    897 seedling
## 1703   1745    899 seedling
## 1704   1841    862 skeleton
## 1705   1802    809 seedling
## 1706   1828    844 seedling
## 1707   1803    861 seedling
## 1708   1809    877 seedling
## 1709   1848    879 seedling
## 1710   1853    891 seedling
## 1711   1911    800  rosette
## 1712   1964    802 seedling
## 1713   1996    821 seedling
## 1714   1931    817 seedling
## 1715   1933    816 seedling
## 1716   1935    819 seedling
## 1717   1918    821 seedling
## 1718   1924    823  rosette
## 1719   1927    822 seedling
## 1720   1926    825 seedling
## 1721   1945    827 seedling
## 1722   1926    827 seedling
## 1723   1932    830  rosette
## 1724   1944    832 seedling
## 1725   1952    834 seedling
## 1726   1946    856  rosette
## 1727   1943    871 seedling
## 1728   1900    854 seedling
## 1729   2055    818 skeleton
## 1730   2072    829 skeleton
## 1731   2071    846 skeleton
## 1732   2081    851 skeleton
## 1733   2069    851 skeleton
## 1734   2079    872 skeleton
## 1735   2041    829  rosette
## 1736   2047    835 seedling
## 1737   2054    891 seedling
## 1738   2178    804 skeleton
## 1739   2158    811 skeleton
## 1740   2176    817 skeleton
## 1741   2172    826 skeleton
## 1742   2184    824 skeleton
## 1743   2183    828 skeleton
## 1744   2163    839 skeleton
## 1745   2184    850 skeleton
## 1746   2179    855 skeleton
## 1747   2129    852 skeleton
## 1748   2163    856 skeleton
## 1749   2142    859 skeleton
## 1750   2166    879 skeleton
## 1751   2176    898 skeleton
## 1752   2171    899 skeleton
## 1753   2185    847 skeleton
## 1754   2187    848 skeleton
## 1755   2199    807  rosette
## 1756   2264    800 skeleton
## 1757   2249    800 skeleton
## 1758   2201    825 skeleton
## 1759   2202    829 skeleton
## 1760   2249    825 skeleton
## 1761   2292    821 skeleton
## 1762   2279    848 skeleton
## 1763   2269    879 skeleton
## 1764   2269    888 skeleton
## 1765   2282    894 skeleton
## 1766   2342    809 skeleton
## 1767   2351    817 skeleton
## 1768   2329    851 skeleton
## 1769   2362    864  rosette
## 1770   2333    852 seedling
## 1771   2352    896 seedling
## 1772   2399    823 skeleton
## 1773   2431    800 skeleton
## 1774   2409    807 regrowth
## 1775   2421    824 skeleton
## 1776   2463    836 skeleton
## 1777   2456    849 skeleton
## 1778   2495    884 regrowth
## 1779   2409    864 regrowth
## 1780   2454    892 skeleton
## 1781   2477    898 regrowth
## 1782   2455    864  rosette
## 1783   2500    819 skeleton
## 1784   2527    817 skeleton
## 1785   2549    828 skeleton
## 1786   2591    826 skeleton
## 1787   2592    839 skeleton
## 1788   2582    839 skeleton
## 1789   2521    812 regrowth
## 1790   2563    862 regrowth
## 1791   2561    860 skeleton
## 1792   2546    898 skeleton
## 1793   2603    859 skeleton
## 1794   2633    861 skeleton
## 1795   2693    835 skeleton
## 1796   2659    872 skeleton
## 1797   2699    892 skeleton
## 1798   2688    892 skeleton
## 1799   2663    899 skeleton
## 1800   2665    885 skeleton
## 1801   2661    849 skeleton
## 1802   2769    828 regrowth
## 1803   2719    854 skeleton
## 1804   2745    876 skeleton
## 1805   2721    899 skeleton
## 1806   2798    889 skeleton
## 1807   2799    899 skeleton
## 1808   2818    818  rosette
## 1809   2809    841 skeleton
## 1810   2893    804 skeleton
## 1811   2878    806 skeleton
## 1812   2864    831 skeleton
## 1813   2859    847  rosette
## 1814   2843    872 skeleton
## 1815   2823    886 skeleton
## 1816   2802    889 skeleton
## 1817   2809    840 skeleton
## 1818   2809    820 skeleton
## 1819   2803    833 skeleton
## 1820   2828    875 skeleton
## 1821   2830    883 skeleton
## 1822   2946    817 skeleton
## 1823   2919    834 skeleton
## 1824   2909    844 skeleton
## 1825   2982    822 regrowth
## 1826   2975    884 seedling
## 1827   2978    882 seedling
## 1828   2984    862 seedling
## 1829     71    909 skeleton
## 1830     69    914 skeleton
## 1831     74    918 skeleton
## 1832     11    998 skeleton
## 1833     15    992 skeleton
## 1834     21    981 regrowth
## 1835    154    963 skeleton
## 1836    148    922 skeleton
## 1837    143    967 skeleton
## 1838    129    979 skeleton
## 1839    229    938 skeleton
## 1840    291    969 skeleton
## 1841    338    908 skeleton
## 1842    311    922 skeleton
## 1843    328    926 skeleton
## 1844    396    972 skeleton
## 1845    391    982 skeleton
## 1846    392    987 skeleton
## 1847    488    944 skeleton
## 1848    442    954 skeleton
## 1849    431    961 skeleton
## 1850    457    986 skeleton
## 1851    472    963 skeleton
## 1852    448    973 seedling
## 1853    451    969 seedling
## 1854    587    921 skeleton
## 1855    571    929 skeleton
## 1856    542    917 skeleton
## 1857    542    933 regrowth
## 1858    518    943 skeleton
## 1859    552    931 skeleton
## 1860    531    949 skeleton
## 1861    568    953 skeleton
## 1862    567    982 skeleton
## 1863    505    986 skeleton
## 1864    554    943 seedling
## 1865    561    952 skeleton
## 1866    572    907 seedling
## 1867    539    939 seedling
## 1868    656    934 skeleton
## 1869    662    932 skeleton
## 1870    695    917 skeleton
## 1871    604    964 skeleton
## 1872    603    998 skeleton
## 1873    633    986 skeleton
## 1874    636    986 skeleton
## 1875    642    983 skeleton
## 1876    689    952 skeleton
## 1877    688    941 skeleton
## 1878    695    965 skeleton
## 1879    688    936 skeleton
## 1880    633    976 skeleton
## 1881    736    943 skeleton
## 1882    742    929 skeleton
## 1883    766    927 skeleton
## 1884    760    923 skeleton
## 1885    796    931 skeleton
## 1886    716    936 skeleton
## 1887    731    937 skeleton
## 1888    757    971 skeleton
## 1889    796    998 skeleton
## 1890    702    936 seedling
## 1891    709    956 skeleton
## 1892    802    953 skeleton
## 1893    854    926 seedling
## 1894    813    962 skeleton
## 1895    811    971 skeleton
## 1896    919    924 seedling
## 1897   1152    907 seedling
## 1898   1157    908  rosette
## 1899   1144    924 seedling
## 1900   1151    923 seedling
## 1901   1161    928  rosette
## 1902   1176    935 seedling
## 1903   1178    937 seedling
## 1904   1169    935 seedling
## 1905   1126    937 seedling
## 1906   1126    943 seedling
## 1907   1137    963 seedling
## 1908   1138    964 seedling
## 1909   1140    964 seedling
## 1910   1258    935 seedling
## 1911   1384    906 skeleton
## 1912   1397    910 skeleton
## 1913   1397    911 skeleton
## 1914   1383    954 skeleton
## 1915   1372    994 skeleton
## 1916   1310    926 seedling
## 1917   1309    928 seedling
## 1918   1326    989 seedling
## 1919   1328    990 seedling
## 1920   1321    981 seedling
## 1921   1318    978 seedling
## 1922   1492    919 skeleton
## 1923   1471    932 skeleton
## 1924   1409    909 skeleton
## 1925   1400    914 skeleton
## 1926   1461    936 skeleton
## 1927   1465    962 skeleton
## 1928   1421    964 skeleton
## 1929   1444    959 skeleton
## 1930   1441    990 skeleton
## 1931   1446    965 skeleton
## 1932   1472    961 skeleton
## 1933   1479    926 skeleton
## 1934   1424    908 seedling
## 1935   1504    911 skeleton
## 1936   1507    912 skeleton
## 1937   1504    938 skeleton
## 1938   1543    945 skeleton
## 1939   1596    956 skeleton
## 1940   1561    999 skeleton
## 1941   1517    946 skeleton
## 1942   1578    937 skeleton
## 1943   1557    905 seedling
## 1944   1558    906 seedling
## 1945   1559    905 seedling
## 1946   1561    905 seedling
## 1947   1560    910 seedling
## 1948   1561    911 seedling
## 1949   1606    913 skeleton
## 1950   1602    964 skeleton
## 1951   1611    926 skeleton
## 1952   1695    992 seedling
## 1953   1696    993 seedling
## 1954   1767    941 skeleton
## 1955   1768    937 skeleton
## 1956   1768    949 skeleton
## 1957   1791    900 seedling
## 1958   1745    902 seedling
## 1959   1749    903 seedling
## 1960   1776    921 seedling
## 1961   1746    945 seedling
## 1962   1747    964 seedling
## 1963   1716    965 seedling
## 1964   1716    999 seedling
## 1965   1729    997 seedling
## 1966   1820    949 seedling
## 1967   1949    909 seedling
## 1968   1947    910 seedling
## 1969   1952    967 seedling
## 1970   2008    954 skeleton
## 1971   2011    904 skeleton
## 1972   2051    912  rosette
## 1973   2024    958 seedling
## 1974   2069    929 skeleton
## 1975   2178    907 skeleton
## 1976   2182    943 skeleton
## 1977   2197    960 skeleton
## 1978   2199    965 skeleton
## 1979   2179    964 skeleton
## 1980   2171    961 skeleton
## 1981   2175    908 skeleton
## 1982   2176    974 skeleton
## 1983   2164    918 skeleton
## 1984   2186    916  rosette
## 1985   2247    909 skeleton
## 1986   2277    976 regrowth
## 1987   2269    973 skeleton
## 1988   2205    937 skeleton
## 1989   2206    938 skeleton
## 1990   2218    984 skeleton
## 1991   2269    900 regrowth
## 1992   2238    927 seedling
## 1993   2329    906 skeleton
## 1994   2366    924 skeleton
## 1995   2391    924 skeleton
## 1996   2383    926 skeleton
## 1997   2328    915 skeleton
## 1998   2352    941 skeleton
## 1999   2354    941 skeleton
## 2000   2371    925 skeleton
## 2001   2356    958 skeleton
## 2002   2351    990 skeleton
## 2003   2370    923 skeleton
## 2004   2482    902 skeleton
## 2005   2461    921 skeleton
## 2006   2412    941 skeleton
## 2007   2449    985 skeleton
## 2008   2496    936 regrowth
## 2009   2468    965  rosette
## 2010   2434    970  rosette
## 2011   2454    968 seedling
## 2012   2511    905 skeleton
## 2013   2561    907 skeleton
## 2014   2599    917 skeleton
## 2015   2561    908 skeleton
## 2016   2555    907 skeleton
## 2017   2598    963 regrowth
## 2018   2577    969 skeleton
## 2019   2548    932 skeleton
## 2020   2523    949 skeleton
## 2021   2567    988 skeleton
## 2022   2554    900 regrowth
## 2023   2676    917 skeleton
## 2024   2688    900 skeleton
## 2025   2618    908 skeleton
## 2026   2605    916 skeleton
## 2027   2652    912 skeleton
## 2028   2600    999 skeleton
## 2029   2616    913 skeleton
## 2030   2665    909 skeleton
## 2031   2716    909 skeleton
## 2032   2734    900 skeleton
## 2033   2797    903 skeleton
## 2034   2762    925 skeleton
## 2035   2712    928 skeleton
## 2036   2733    969 skeleton
## 2037   2718    914 skeleton
## 2038   2784    977 skeleton
## 2039   2874    929 skeleton
## 2040   2882    956 skeleton
## 2041   2879    978 skeleton
## 2042   2843    956 seedling
## 2043   2842    956 seedling
## 2044   2842    957 seedling
## 2045   2847    952 seedling
## 2046   2821    956 seedling
## 2047   2846    954 seedling
## 2048   2959    901 seedling
## 2049   2965    909 seedling
## 2050     14   1053 skeleton
## 2051     24   1051 skeleton
## 2052    148   1068 seedling
## 2053    143   1073 seedling
## 2054    131   1074 seedling
## 2055    294   1043 regrowth
## 2056    359   1046 skeleton
## 2057    387   1068 skeleton
## 2058    399   1085 skeleton
## 2059    396   1078 seedling
## 2060    391   1081 seedling
## 2061    311   1083 seedling
## 2062    321   1084 seedling
## 2063    412   1021 skeleton
## 2064    408   1028 skeleton
## 2065    401   1048 skeleton
## 2066    441   1039 skeleton
## 2067    459   1031 skeleton
## 2068    599   1003 skeleton
## 2069    568   1011 skeleton
## 2070    568   1022 skeleton
## 2071    572   1007 skeleton
## 2072    558   1024 skeleton
## 2073    527   1034 skeleton
## 2074    577   1014 skeleton
## 2075    524   1097 seedling
## 2076    525   1099 seedling
## 2077    527   1091 seedling
## 2078    688   1029 skeleton
## 2079    619   1034 skeleton
## 2080    615   1014 skeleton
## 2081    622   1085 skeleton
## 2082    649   1031 skeleton
## 2083    692   1062 skeleton
## 2084    699   1064 skeleton
## 2085    677   1076 skeleton
## 2086    690   1092 seedling
## 2087    760   1004 skeleton
## 2088    727   1043 seedling
## 2089    759   1003 seedling
## 2090    754   1007 skeleton
## 2091    721   1016 skeleton
## 2092    764   1021 skeleton
## 2093    748   1061 skeleton
## 2094    730   1079 skeleton
## 2095    736   1081 skeleton
## 2096    714   1082 skeleton
## 2097    750   1001 seedling
## 2098    721   1076 seedling
## 2099    716   1061 seedling
## 2100   1066   1051 seedling
## 2101   1032   1052 seedling
## 2102   1036   1066  rosette
## 2103   1138   1064 seedling
## 2104   1159   1014 seedling
## 2105   1262   1074 seedling
## 2106   1256   1077 seedling
## 2107   1271   1078 seedling
## 2108   1319   1003 skeleton
## 2109   1311   1006 skeleton
## 2110   1349   1011 skeleton
## 2111   1312   1047 skeleton
## 2112   1302   1032 skeleton
## 2113   1381   1079 skeleton
## 2114   1375   1080 skeleton
## 2115   1405   1087 skeleton
## 2116   1411   1079 skeleton
## 2117   1410   1077 skeleton
## 2118   1433   1087 skeleton
## 2119   1441   1088 skeleton
## 2120   1443   1086 skeleton
## 2121   1561   1049 skeleton
## 2122   1505   1099 skeleton
## 2123   1528   1072 skeleton
## 2124   1535   1096 skeleton
## 2125   1527   1052 seedling
## 2126   1528   1054 seedling
## 2127   1523   1057 seedling
## 2128   1524   1059 seedling
## 2129   1544   1063 seedling
## 2130   1548   1063 seedling
## 2131   1550   1064 seedling
## 2132   1548   1067 seedling
## 2133   1547   1071 seedling
## 2134   1549   1072 seedling
## 2135   1548   1078 seedling
## 2136   1547   1081 seedling
## 2137   1515   1086 seedling
## 2138   1521   1058 seedling
## 2139   1697   1087 skeleton
## 2140   1603   1099 skeleton
## 2141   1690   1078 skeleton
## 2142   1631   1031 skeleton
## 2143   1648   1088 skeleton
## 2144   1766   1051 skeleton
## 2145   1763   1061 skeleton
## 2146   1748   1085 skeleton
## 2147   1759   1046 seedling
## 2148   1761   1048 seedling
## 2149   1755   1054 seedling
## 2150   1758   1054 seedling
## 2151   1737   1059 seedling
## 2152   1738   1059 seedling
## 2153   1744   1063 seedling
## 2154   1741   1063 seedling
## 2155   1741   1064 seedling
## 2156   1747   1066 seedling
## 2157   1748   1066 seedling
## 2158   1737   1066 seedling
## 2159   1736   1067 seedling
## 2160   1739   1069 seedling
## 2161   1742   1070 seedling
## 2162   1758   1072 seedling
## 2163   1774   1077 seedling
## 2164   1748   1076 seedling
## 2165   1733   1076 seedling
## 2166   1738   1076 seedling
## 2167   1791   1080 seedling
## 2168   1789   1084 seedling
## 2169   1724   1093 seedling
## 2170   1721   1097 seedling
## 2171   1889   1064 skeleton
## 2172   1822   1041 seedling
## 2173   1884   1099 skeleton
## 2174   1881   1089 seedling
## 2175   1915   1041 skeleton
## 2176   1951   1048 skeleton
## 2177   1951   1051 skeleton
## 2178   1946   1061 skeleton
## 2179   1946   1063 skeleton
## 2180   1971   1054 skeleton
## 2181   1921   1091 skeleton
## 2182   1925   1094 skeleton
## 2183   1916   1099 skeleton
## 2184   1932   1060 skeleton
## 2185   2071   1047 skeleton
## 2186   2036   1084 skeleton
## 2187   2191   1063 skeleton
## 2188   2164   1084 seedling
## 2189   2161   1087 seedling
## 2190   2139   1090 seedling
## 2191   2131   1059 skeleton
## 2192   2284   1047 skeleton
## 2193   2268   1005 skeleton
## 2194   2246   1074 skeleton
## 2195   2246   1076 skeleton
## 2196   2269   1079 skeleton
## 2197   2245   1098 skeleton
## 2198   2281   1099 skeleton
## 2199   2275   1099 skeleton
## 2200   2295   1062 skeleton
## 2201   2368   1015 skeleton
## 2202   2372   1014 skeleton
## 2203   2366   1054 skeleton
## 2204   2367   1057 regrowth
## 2205   2398   1090 skeleton
## 2206   2399   1087 skeleton
## 2207   2366   1096 seedling
## 2208   2368   1095 seedling
## 2209   2331   1083 seedling
## 2210   2323   1079 seedling
## 2211   2394   1058 seedling
## 2212   2393   1055 seedling
## 2213   2408   1081 skeleton
## 2214   2433   1072 skeleton
## 2215   2435   1072 skeleton
## 2216   2436   1087 skeleton
## 2217   2466   1058 skeleton
## 2218   2449   1099 skeleton
## 2219   2488   1049 skeleton
## 2220   2541   1014 regrowth
## 2221   2576   1024 skeleton
## 2222   2622   1014 skeleton
## 2223   2649   1034 skeleton
## 2224   2676   1048 skeleton
## 2225   2699   1081 skeleton
## 2226   2693   1078 skeleton
## 2227   2679   1076 skeleton
## 2228   2651   1098 skeleton
## 2229   2636   1071 skeleton
## 2230   2699   1090 skeleton
## 2231   2648   1062 skeleton
## 2232   2632   1077 skeleton
## 2233   2646   1073 skeleton
## 2234   2622   1043 skeleton
## 2235   2621   1045 skeleton
## 2236   2611   1056 seedling
## 2237   2616   1056 seedling
## 2238   2691   1039  rosette
## 2239   2799   1013  rosette
## 2240   2747   1006 skeleton
## 2241   2766   1091 skeleton
## 2242   2771   1092 skeleton
## 2243   2734   1099 skeleton
## 2244   2732   1098 skeleton
## 2245   2762   1092 skeleton
## 2246   2758   1073 skeleton
## 2247   2816   1038 skeleton
## 2248   2828   1066 skeleton
## 2249   2842   1082 skeleton
## 2250   2882   1073 seedling
## 2251   2858   1077 seedling
## 2252   2856   1076 seedling
## 2253   2857   1086 seedling
## 2254   2887   1070 seedling
## 2255   2886   1068 seedling
## 2256   2887   1067 seedling
## 2257   2864   1069 seedling
## 2258   2859   1064 seedling
## 2259   2837   1065 seedling
## 2260   2894   1063 seedling
## 2261   2843   1058 seedling
## 2262   2896   1062 seedling
## 2263   2847   1056 seedling
## 2264   2851   1052 seedling
## 2265   2843   1054 seedling
## 2266   2839   1019 seedling
## 2267   2987   1099 seedling
## 2268   2959   1087 seedling
## 2269   2916   1079 seedling
## 2270   2911   1061 seedling
## 2271   2966   1011 seedling
## 2272      8   1172 seedling
## 2273    164   1142 skeleton
## 2274    191   1158 skeleton
## 2275    108   1126 seedling
## 2276    126   1193 seedling
## 2277    180   1199 seedling
## 2278    125   1199 seedling
## 2279    173   1199 seedling
## 2280    207   1136 skeleton
## 2281    214   1141 skeleton
## 2282    234   1181 skeleton
## 2283    386   1134 skeleton
## 2284    392   1132 skeleton
## 2285    353   1186 skeleton
## 2286    374   1182 skeleton
## 2287    373   1185 skeleton
## 2288    371   1191 skeleton
## 2289    328   1107 seedling
## 2290    334   1108 seedling
## 2291    326   1113 seedling
## 2292    321   1114 seedling
## 2293    313   1115 seedling
## 2294    350   1129 seedling
## 2295    436   1141 skeleton
## 2296    448   1151 skeleton
## 2297    419   1169 skeleton
## 2298    416   1178 skeleton
## 2299    484   1102 seedling
## 2300    554   1141 skeleton
## 2301    555   1146 skeleton
## 2302    546   1147 skeleton
## 2303    542   1160 skeleton
## 2304    523   1125 seedling
## 2305    521   1126 seedling
## 2306    567   1132 seedling
## 2307    565   1133 seedling
## 2308    563   1134 seedling
## 2309    578   1163 seedling
## 2310    676   1103 skeleton
## 2311    670   1107 skeleton
## 2312    678   1116 skeleton
## 2313    633   1127 skeleton
## 2314    612   1142 seedling
## 2315    632   1105 seedling
## 2316    648   1177 skeleton
## 2317    654   1171 seedling
## 2318    795   1142 skeleton
## 2319    759   1177 skeleton
## 2320    763   1132 seedling
## 2321    757   1171 skeleton
## 2322    761   1164 seedling
## 2323    757   1164 seedling
## 2324    754   1165 seedling
## 2325    702   1152 skeleton
## 2326    845   1121 seedling
## 2327    837   1131 seedling
## 2328    835   1132 seedling
## 2329    830   1133 seedling
## 2330    822   1133 seedling
## 2331    851   1120 seedling
## 2332    856   1137 seedling
## 2333    835   1162 seedling
## 2334    998   1192 seedling
## 2335   1057   1121 seedling
## 2336   1182   1168 skeleton
## 2337   1147   1184 skeleton
## 2338   1162   1143 skeleton
## 2339   1184   1199 skeleton
## 2340   1187   1117 skeleton
## 2341   1187   1130 skeleton
## 2342   1492   1187 regrowth
## 2343   1473   1173 skeleton
## 2344   1473   1181 skeleton
## 2345   1496   1189 skeleton
## 2346   1466   1181 skeleton
## 2347   1490   1182 skeleton
## 2348   1452   1187 skeleton
## 2349   1436   1192 skeleton
## 2350   1481   1191 skeleton
## 2351   1424   1196 skeleton
## 2352   1436   1199 skeleton
## 2353   1499   1199 skeleton
## 2354   1422   1109 skeleton
## 2355   1441   1128 seedling
## 2356   1422   1196 skeleton
## 2357   1483   1191 seedling
## 2358   1599   1141 skeleton
## 2359   1512   1103 skeleton
## 2360   1552   1113 skeleton
## 2361   1532   1147 skeleton
## 2362   1525   1182 skeleton
## 2363   1516   1184 skeleton
## 2364   1510   1194 skeleton
## 2365   1597   1188 skeleton
## 2366   1524   1195 seedling
## 2367   1501   1162 seedling
## 2368   1543   1108 skeleton
## 2369   1696   1126 skeleton
## 2370   1680   1129 skeleton
## 2371   1624   1111 skeleton
## 2372   1619   1128 skeleton
## 2373   1608   1153 skeleton
## 2374   1602   1189 skeleton
## 2375   1612   1198 skeleton
## 2376   1675   1141 skeleton
## 2377   1658   1158 skeleton
## 2378   1653   1166 skeleton
## 2379   1672   1179 skeleton
## 2380   1666   1177 skeleton
## 2381   1680   1186 skeleton
## 2382   1687   1183 skeleton
## 2383   1651   1182 skeleton
## 2384   1687   1123 seedling
## 2385   1678   1109 seedling
## 2386   1607   1122 seedling
## 2387   1677   1144 seedling
## 2388   1699   1191 seedling
## 2389   1677   1134 seedling
## 2390   1799   1111 skeleton
## 2391   1757   1112 skeleton
## 2392   1779   1135 skeleton
## 2393   1711   1132 skeleton
## 2394   1762   1137 skeleton
## 2395   1714   1136 skeleton
## 2396   1772   1157 skeleton
## 2397   1770   1151 skeleton
## 2398   1786   1184 skeleton
## 2399   1789   1184 skeleton
## 2400   1731   1190 skeleton
## 2401   1739   1195 skeleton
## 2402   1734   1105 seedling
## 2403   1738   1107 seedling
## 2404   1739   1108 seedling
## 2405   1718   1115 seedling
## 2406   1742   1145 seedling
## 2407   1717   1151 seedling
## 2408   1716   1161 seedling
## 2409   1899   1166 regrowth
## 2410   1879   1148 skeleton
## 2411   1868   1156 skeleton
## 2412   1833   1177 skeleton
## 2413   1845   1175 skeleton
## 2414   1883   1160 skeleton
## 2415   1866   1186 skeleton
## 2416   1834   1190 regrowth
## 2417   1868   1198 skeleton
## 2418   1848   1199 skeleton
## 2419   1891   1197 skeleton
## 2420   1873   1171 skeleton
## 2421   1848   1103 seedling
## 2422   1891   1154  rosette
## 2423   1879   1166 seedling
## 2424   1992   1159 skeleton
## 2425   1906   1143 skeleton
## 2426   1918   1191 skeleton
## 2427   1943   1166 skeleton
## 2428   1948   1176 skeleton
## 2429   1986   1183 skeleton
## 2430   1976   1185 skeleton
## 2431   1997   1189 skeleton
## 2432   1999   1157 skeleton
## 2433   1979   1104 seedling
## 2434   1977   1109 seedling
## 2435   1981   1112 seedling
## 2436   1984   1113 seedling
## 2437   1977   1113 seedling
## 2438   1979   1120 seedling
## 2439   1987   1122 seedling
## 2440   1994   1157 skeleton
## 2441   1950   1169 skeleton
## 2442   2077   1134 skeleton
## 2443   2032   1199 skeleton
## 2444   2009   1116 skeleton
## 2445   2002   1147 skeleton
## 2446   2050   1111 seedling
## 2447   2011   1129 seedling
## 2448   2012   1122 seedling
## 2449   2039   1188 seedling
## 2450   2100   1136 skeleton
## 2451   2102   1141 skeleton
## 2452   2159   1131 skeleton
## 2453   2176   1131 skeleton
## 2454   2161   1134 seedling
## 2455   2263   1108 skeleton
## 2456   2268   1113 skeleton
## 2457   2271   1133 skeleton
## 2458   2278   1136 skeleton
## 2459   2234   1157 skeleton
## 2460   2235   1158 skeleton
## 2461   2294   1185 skeleton
## 2462   2295   1188 skeleton
## 2463   2299   1189 skeleton
## 2464   2264   1179 skeleton
## 2465   2373   1115 skeleton
## 2466   2385   1119 skeleton
## 2467   2304   1166 skeleton
## 2468   2309   1165 skeleton
## 2469   2307   1175 skeleton
## 2470   2308   1179 skeleton
## 2471   2371   1137 skeleton
## 2472   2373   1140 skeleton
## 2473   2372   1144 skeleton
## 2474   2355   1140 skeleton
## 2475   2374   1157 skeleton
## 2476   2372   1160 skeleton
## 2477   2370   1162 skeleton
## 2478   2368   1168 skeleton
## 2479   2351   1195 skeleton
## 2480   2349   1195 skeleton
## 2481   2369   1159 skeleton
## 2482   2352   1174 skeleton
## 2483   2395   1198 regrowth
## 2484   2431   1127 skeleton
## 2485   2432   1128 skeleton
## 2486   2439   1178 skeleton
## 2487   2463   1177 skeleton
## 2488   2436   1176 skeleton
## 2489   2419   1166 skeleton
## 2490   2484   1129 seedling
## 2491   2472   1151 seedling
## 2492   2424   1185 seedling
## 2493   2596   1169 skeleton
## 2494   2522   1178 skeleton
## 2495   2566   1164 skeleton
## 2496   2539   1178 skeleton
## 2497   2589   1199 skeleton
## 2498   2693   1150 skeleton
## 2499   2663   1127 skeleton
## 2500   2644   1111 skeleton
## 2501   2641   1119 skeleton
## 2502   2689   1164 skeleton
## 2503   2600   1199 skeleton
## 2504   2746   1109 skeleton
## 2505   2718   1125 skeleton
## 2506   2701   1187 skeleton
## 2507   2776   1158 skeleton
## 2508   2731   1144 skeleton
## 2509   2764   1162 skeleton
## 2510   2733   1182 skeleton
## 2511   2755   1199 skeleton
## 2512   2738   1181 skeleton
## 2513   2732   1198 skeleton
## 2514   2735   1183 skeleton
## 2515   2723   1109 skeleton
## 2516   2834   1107 skeleton
## 2517   2848   1109 skeleton
## 2518   2892   1178 skeleton
## 2519   2855   1122 skeleton
## 2520   2825   1169 skeleton
## 2521   2916   1194 skeleton
## 2522   2999   1155 regrowth
## 2523     11   1282 skeleton
## 2524     21   1267 skeleton
## 2525     16   1264 skeleton
## 2526     31   1272 skeleton
## 2527    166   1211 skeleton
## 2528    263   1237 skeleton
## 2529    333   1231 skeleton
## 2530    347   1222 skeleton
## 2531    344   1228 skeleton
## 2532    452   1288 seedling
## 2533    458   1281 seedling
## 2534    457   1279 seedling
## 2535    450   1280 seedling
## 2536    473   1277 seedling
## 2537    447   1255 seedling
## 2538    449   1251 seedling
## 2539    547   1278 seedling
## 2540    507   1262 seedling
## 2541    558   1263 seedling
## 2542    692   1218 skeleton
## 2543    686   1220 skeleton
## 2544    629   1221 skeleton
## 2545    629   1219 skeleton
## 2546    746   1257 skeleton
## 2547    777   1299 seedling
## 2548    773   1298 seedling
## 2549    868   1299 seedling
## 2550    837   1259 seedling
## 2551    890   1255 seedling
## 2552    976   1249 seedling
## 2553   1082   1231 skeleton
## 2554   1074   1278 skeleton
## 2555   1083   1271 skeleton
## 2556   1006   1294 seedling
## 2557   1008   1286 seedling
## 2558   1035   1280 seedling
## 2559   1008   1269 seedling
## 2560   1013   1267 seedling
## 2561   1003   1245 seedling
## 2562   1005   1242 seedling
## 2563   1007   1243 seedling
## 2564   1051   1241 seedling
## 2565   1017   1236 seedling
## 2566   1031   1202 seedling
## 2567   1172   1213 skeleton
## 2568   1144   1264 skeleton
## 2569   1178   1237 skeleton
## 2570   1166   1220 skeleton
## 2571   1134   1213 seedling
## 2572   1246   1248 skeleton
## 2573   1203   1257 skeleton
## 2574   1209   1276 skeleton
## 2575   1278   1282 skeleton
## 2576   1280   1284 skeleton
## 2577   1258   1242 skeleton
## 2578   1261   1212 seedling
## 2579   1266   1222 seedling
## 2580   1244   1229 seedling
## 2581   1271   1266 seedling
## 2582   1254   1278 seedling
## 2583   1262   1289 seedling
## 2584   1349   1222 skeleton
## 2585   1352   1220 skeleton
## 2586   1341   1246 skeleton
## 2587   1361   1287 skeleton
## 2588   1376   1249 skeleton
## 2589   1310   1279 skeleton
## 2590   1312   1285 skeleton
## 2591   1314   1285 skeleton
## 2592   1332   1287 skeleton
## 2593   1338   1295 skeleton
## 2594   1396   1287 skeleton
## 2595   1336   1289 skeleton
## 2596   1304   1274 skeleton
## 2597   1311   1222 seedling
## 2598   1310   1219 seedling
## 2599   1340   1216 seedling
## 2600   1307   1238 seedling
## 2601   1326   1241 seedling
## 2602   1317   1245 seedling
## 2603   1332   1257 seedling
## 2604   1302   1280 seedling
## 2605   1329   1299 seedling
## 2606   1303   1291 seedling
## 2607   1326   1278 seedling
## 2608   1366   1298 seedling
## 2609   1365   1295 seedling
## 2610   1471   1248 skeleton
## 2611   1491   1249 skeleton
## 2612   1464   1224 skeleton
## 2613   1456   1223 skeleton
## 2614   1462   1227 skeleton
## 2615   1481   1238 skeleton
## 2616   1476   1253 skeleton
## 2617   1402   1297 skeleton
## 2618   1474   1289 skeleton
## 2619   1456   1255 skeleton
## 2620   1452   1255 skeleton
## 2621   1482   1243 skeleton
## 2622   1457   1222 seedling
## 2623   1468   1222 seedling
## 2624   1454   1274 seedling
## 2625   1450   1274 seedling
## 2626   1405   1299 seedling
## 2627   1597   1289 skeleton
## 2628   1508   1205 skeleton
## 2629   1506   1206 skeleton
## 2630   1548   1212 skeleton
## 2631   1563   1224 skeleton
## 2632   1589   1230 skeleton
## 2633   1588   1234 skeleton
## 2634   1566   1234 skeleton
## 2635   1581   1242 skeleton
## 2636   1540   1246 skeleton
## 2637   1508   1251 skeleton
## 2638   1513   1263 skeleton
## 2639   1514   1234 skeleton
## 2640   1516   1276 skeleton
## 2641   1538   1274 skeleton
## 2642   1530   1297 skeleton
## 2643   1537   1293 seedling
## 2644   1536   1292 seedling
## 2645   1535   1291 seedling
## 2646   1534   1291 seedling
## 2647   1533   1288 seedling
## 2648   1536   1281 seedling
## 2649   1562   1283 seedling
## 2650   1563   1284 seedling
## 2651   1628   1206 skeleton
## 2652   1626   1202 skeleton
## 2653   1642   1226 skeleton
## 2654   1617   1273 skeleton
## 2655   1659   1286 skeleton
## 2656   1642   1297 skeleton
## 2657   1652   1299 skeleton
## 2658   1688   1274 skeleton
## 2659   1616   1277 skeleton
## 2660   1638   1238 skeleton
## 2661   1775   1272 skeleton
## 2662   1782   1274 skeleton
## 2663   1763   1276 skeleton
## 2664   1769   1272 skeleton
## 2665   1780   1277 skeleton
## 2666   1732   1215 skeleton
## 2667   1707   1216 skeleton
## 2668   1731   1239 skeleton
## 2669   1737   1245 skeleton
## 2670   1722   1248 skeleton
## 2671   1730   1271 skeleton
## 2672   1730   1274 skeleton
## 2673   1752   1214 skeleton
## 2674   1721   1222 seedling
## 2675   1732   1224 seedling
## 2676   1832   1248 skeleton
## 2677   1810   1207 skeleton
## 2678   1852   1236 regrowth
## 2679   1841   1223 regrowth
## 2680   1845   1229 skeleton
## 2681   1877   1251 skeleton
## 2682   1822   1263 skeleton
## 2683   1888   1226 skeleton
## 2684   1858   1272 skeleton
## 2685   1856   1284 skeleton
## 2686   1883   1256 skeleton
## 2687   1873   1259 skeleton
## 2688   1889   1267 skeleton
## 2689   1848   1297 skeleton
## 2690   1904   1222 skeleton
## 2691   1918   1207 skeleton
## 2692   1908   1206 skeleton
## 2693   1959   1224 skeleton
## 2694   1939   1213 skeleton
## 2695   1946   1244 skeleton
## 2696   1972   1252 regrowth
## 2697   1985   1284 skeleton
## 2698   1983   1291 skeleton
## 2699   1906   1293 skeleton
## 2700   1972   1251 skeleton
## 2701   1977   1253 skeleton
## 2702   1967   1299 seedling
## 2703   1969   1299 seedling
## 2704   1962   1298 seedling
## 2705   1915   1298 seedling
## 2706   1960   1298 seedling
## 2707   1961   1297 seedling
## 2708   1917   1298 seedling
## 2709   1963   1295 seedling
## 2710   1991   1295 seedling
## 2711   1951   1289 seedling
## 2712   1958   1289 seedling
## 2713   1967   1287 seedling
## 2714   1913   1284 seedling
## 2715   1914   1276 seedling
## 2716   1916   1274 seedling
## 2717   1920   1270 seedling
## 2718   1912   1206 skeleton
## 2719   2098   1212 skeleton
## 2720   2098   1213 skeleton
## 2721   2093   1213 skeleton
## 2722   2072   1246 skeleton
## 2723   2087   1276 skeleton
## 2724   2048   1295 seedling
## 2725   2038   1294 seedling
## 2726   2089   1289 seedling
## 2727   2058   1286 seedling
## 2728   2061   1280 seedling
## 2729   2057   1280 seedling
## 2730   2069   1281 seedling
## 2731   2050   1277 seedling
## 2732   2051   1276 seedling
## 2733   2052   1275 seedling
## 2734   2059   1275 seedling
## 2735   2072   1276 seedling
## 2736   2081   1275 seedling
## 2737   2049   1273 seedling
## 2738   2052   1272 seedling
## 2739   2091   1271 seedling
## 2740   2079   1270 seedling
## 2741   2055   1267 seedling
## 2742   2056   1266 seedling
## 2743   2081   1266 seedling
## 2744   2076   1264 seedling
## 2745   2050   1264 seedling
## 2746   2062   1249 seedling
## 2747   2044   1241 seedling
## 2748   2126   1267 skeleton
## 2749   2126   1259 skeleton
## 2750   2188   1259 skeleton
## 2751   2188   1260 skeleton
## 2752   2174   1231 skeleton
## 2753   2190   1261 skeleton
## 2754   2100   1283 skeleton
## 2755   2132   1254 skeleton
## 2756   2146   1298 skeleton
## 2757   2135   1299 skeleton
## 2758   2156   1299 skeleton
## 2759   2118   1292 skeleton
## 2760   2137   1293 skeleton
## 2761   2195   1286 skeleton
## 2762   2185   1281 seedling
## 2763   2188   1279 seedling
## 2764   2185   1277 seedling
## 2765   2189   1276 seedling
## 2766   2199   1278 seedling
## 2767   2189   1271 seedling
## 2768   2124   1257 seedling
## 2769   2146   1252  rosette
## 2770   2183   1252 seedling
## 2771   2197   1223 seedling
## 2772   2232   1200 skeleton
## 2773   2234   1204 skeleton
## 2774   2256   1243 skeleton
## 2775   2257   1249 skeleton
## 2776   2223   1271 skeleton
## 2777   2243   1285 skeleton
## 2778   2288   1287 skeleton
## 2779   2242   1287 skeleton
## 2780   2241   1286 skeleton
## 2781   2230   1287 skeleton
## 2782   2210   1274 skeleton
## 2783   2202   1212 seedling
## 2784   2219   1221 seedling
## 2785   2218   1223 seedling
## 2786   2216   1291 seedling
## 2787   2214   1290 seedling
## 2788   2384   1215 skeleton
## 2789   2386   1219 skeleton
## 2790   2390   1217 skeleton
## 2791   2304   1272 skeleton
## 2792   2308   1275 skeleton
## 2793   2310   1274 skeleton
## 2794   2373   1261 skeleton
## 2795   2349   1236 skeleton
## 2796   2456   1246 skeleton
## 2797   2446   1221 skeleton
## 2798   2431   1208 skeleton
## 2799   2418   1284 skeleton
## 2800   2430   1204 skeleton
## 2801   2432   1267 skeleton
## 2802   2554   1223 skeleton
## 2803   2546   1246 skeleton
## 2804   2560   1221 skeleton
## 2805   2588   1278 skeleton
## 2806   2546   1294 skeleton
## 2807   2546   1285 skeleton
## 2808   2699   1279 skeleton
## 2809   2689   1276 regrowth
## 2810   2680   1271 skeleton
## 2811   2650   1277 skeleton
## 2812   2681   1203 skeleton
## 2813   2685   1271 seedling
## 2814   2603   1241 seedling
## 2815   2799   1237 skeleton
## 2816   2774   1241 skeleton
## 2817   2762   1224 skeleton
## 2818   2738   1217 skeleton
## 2819   2703   1240 skeleton
## 2820   2702   1273 skeleton
## 2821   2786   1243 skeleton
## 2822   2798   1266 seedling
## 2823   2728   1261 skeleton
## 2824   2817   1229 skeleton
## 2825   2819   1212  rosette
## 2826   2889   1207 seedling
## 2827   2821   1223 seedling
## 2828   2882   1283 skeleton
## 2829   2993   1216 seedling
## 2830    139   1350 skeleton
## 2831    113   1366 skeleton
## 2832    100   1376 skeleton
## 2833    126   1376 skeleton
## 2834    153   1351 skeleton
## 2835    160   1334 skeleton
## 2836    171   1384 skeleton
## 2837    109   1376 skeleton
## 2838    167   1359 seedling
## 2839    143   1354 skeleton
## 2840    202   1393 skeleton
## 2841    286   1363 seedling
## 2842    389   1354 regrowth
## 2843    405   1317 seedling
## 2844    476   1319 seedling
## 2845    493   1327 seedling
## 2846    418   1338 seedling
## 2847    494   1346 seedling
## 2848    492   1347 seedling
## 2849    403   1369 seedling
## 2850    511   1337 seedling
## 2851    526   1354 seedling
## 2852    528   1356 seedling
## 2853    718   1307 seedling
## 2854    715   1339 seedling
## 2855    714   1340 seedling
## 2856    713   1341 seedling
## 2857    889   1359 skeleton
## 2858    841   1398 regrowth
## 2859    890   1364 skeleton
## 2860    896   1383 skeleton
## 2861    831   1313 seedling
## 2862    883   1320 seedling
## 2863    887   1326 seedling
## 2864    827   1333 seedling
## 2865    832   1333 seedling
## 2866    838   1334 seedling
## 2867    855   1337 seedling
## 2868    853   1342 seedling
## 2869    850   1343 seedling
## 2870    855   1359 seedling
## 2871    851   1376 seedling
## 2872    843   1378 seedling
## 2873    839   1382 seedling
## 2874    842   1383 seedling
## 2875    839   1389 seedling
## 2876    948   1334 skeleton
## 2877    902   1379 skeleton
## 2878    973   1399  rosette
## 2879    925   1398 seedling
## 2880    905   1388 seedling
## 2881    912   1372 seedling
## 2882    910   1370 seedling
## 2883    958   1367 seedling
## 2884    966   1342 seedling
## 2885   1098   1395 skeleton
## 2886   1086   1384 skeleton
## 2887   1090   1379 skeleton
## 2888   1066   1388 skeleton
## 2889   1041   1343 seedling
## 2890   1050   1356 seedling
## 2891   1016   1369 skeleton
## 2892   1079   1383 seedling
## 2893   1063   1389 seedling
## 2894   1087   1391 seedling
## 2895   1085   1381 seedling
## 2896   1181   1327 skeleton
## 2897   1131   1306 skeleton
## 2898   1111   1331 skeleton
## 2899   1108   1323 skeleton
## 2900   1158   1322 skeleton
## 2901   1115   1333 skeleton
## 2902   1173   1361 skeleton
## 2903   1133   1349 skeleton
## 2904   1111   1355 skeleton
## 2905   1116   1369 skeleton
## 2906   1124   1371 skeleton
## 2907   1179   1391 skeleton
## 2908   1192   1379 skeleton
## 2909   1191   1377 seedling
## 2910   1181   1374 seedling
## 2911   1192   1378 seedling
## 2912   1185   1360 seedling
## 2913   1182   1357 seedling
## 2914   1140   1355 seedling
## 2915   1141   1355 seedling
## 2916   1186   1355 seedling
## 2917   1134   1353 seedling
## 2918   1131   1354 seedling
## 2919   1133   1349 seedling
## 2920   1112   1309 seedling
## 2921   1110   1307 seedling
## 2922   1228   1379 skeleton
## 2923   1234   1391 skeleton
## 2924   1290   1386 skeleton
## 2925   1226   1312  rosette
## 2926   1221   1344 seedling
## 2927   1271   1305 seedling
## 2928   1383   1314 skeleton
## 2929   1342   1317 skeleton
## 2930   1358   1316 skeleton
## 2931   1342   1315 skeleton
## 2932   1328   1342 skeleton
## 2933   1359   1336 skeleton
## 2934   1364   1353 regrowth
## 2935   1380   1341 skeleton
## 2936   1387   1343 skeleton
## 2937   1392   1329 skeleton
## 2938   1371   1370 skeleton
## 2939   1382   1378 skeleton
## 2940   1376   1354 skeleton
## 2941   1331   1399 skeleton
## 2942   1326   1391 skeleton
## 2943   1398   1367 skeleton
## 2944   1381   1310 seedling
## 2945   1382   1317 seedling
## 2946   1384   1319 seedling
## 2947   1328   1306 seedling
## 2948   1323   1321 seedling
## 2949   1379   1331 seedling
## 2950   1364   1353 seedling
## 2951   1315   1375 seedling
## 2952   1329   1389 seedling
## 2953   1431   1321 skeleton
## 2954   1466   1341 skeleton
## 2955   1431   1366 skeleton
## 2956   1449   1378 skeleton
## 2957   1452   1303 skeleton
## 2958   1436   1370 skeleton
## 2959   1413   1390 skeleton
## 2960   1441   1393 skeleton
## 2961   1484   1351 skeleton
## 2962   1485   1377 skeleton
## 2963   1484   1379 skeleton
## 2964   1479   1394 skeleton
## 2965   1469   1357 skeleton
## 2966   1411   1321 seedling
## 2967   1427   1326 seedling
## 2968   1442   1329  rosette
## 2969   1489   1331 seedling
## 2970   1414   1334 regrowth
## 2971   1509   1352 skeleton
## 2972   1595   1339 skeleton
## 2973   1593   1338 skeleton
## 2974   1591   1347 skeleton
## 2975   1592   1342 skeleton
## 2976   1592   1344 skeleton
## 2977   1561   1338 skeleton
## 2978   1571   1365 skeleton
## 2979   1575   1371 skeleton
## 2980   1590   1378 skeleton
## 2981   1580   1370 skeleton
## 2982   1523   1399 seedling
## 2983   1522   1398 seedling
## 2984   1534   1394 seedling
## 2985   1535   1394 seedling
## 2986   1525   1395 seedling
## 2987   1540   1390 seedling
## 2988   1536   1387 seedling
## 2989   1528   1386 seedling
## 2990   1525   1387 seedling
## 2991   1511   1369 skeleton
## 2992   1503   1362 skeleton
## 2993   1576   1354 seedling
## 2994   1577   1355 seedling
## 2995   1692   1341 skeleton
## 2996   1671   1331 skeleton
## 2997   1647   1311 skeleton
## 2998   1632   1333 skeleton
## 2999   1639   1352 skeleton
## 3000   1634   1351 skeleton
## 3001   1635   1352 skeleton
## 3002   1605   1365 skeleton
## 3003   1609   1351 skeleton
## 3004   1618   1378 skeleton
## 3005   1697   1320 seedling
## 3006   1699   1316 seedling
## 3007   1679   1309 seedling
## 3008   1718   1300 skeleton
## 3009   1781   1346 skeleton
## 3010   1716   1302 skeleton
## 3011   1788   1347 skeleton
## 3012   1790   1390 skeleton
## 3013   1799   1388 skeleton
## 3014   1789   1399 skeleton
## 3015   1780   1321 seedling
## 3016   1751   1398 seedling
## 3017   1838   1321 skeleton
## 3018   1800   1306 skeleton
## 3019   1810   1310 skeleton
## 3020   1821   1323 skeleton
## 3021   1828   1324 skeleton
## 3022   1830   1344 skeleton
## 3023   1801   1364 skeleton
## 3024   1810   1365 skeleton
## 3025   1802   1380 skeleton
## 3026   1815   1365 skeleton
## 3027   1814   1367 skeleton
## 3028   1856   1375 skeleton
## 3029   1886   1307 skeleton
## 3030   1893   1310 skeleton
## 3031   1892   1317 skeleton
## 3032   1872   1328 skeleton
## 3033   1873   1329 skeleton
## 3034   1873   1330 skeleton
## 3035   1874   1331 skeleton
## 3036   1850   1301 skeleton
## 3037   1854   1339  rosette
## 3038   1857   1348 seedling
## 3039   1823   1377 skeleton
## 3040   1978   1324 skeleton
## 3041   1962   1332 skeleton
## 3042   1900   1352 skeleton
## 3043   1910   1343 skeleton
## 3044   1931   1352 skeleton
## 3045   1956   1334 skeleton
## 3046   1972   1372 skeleton
## 3047   1980   1375 skeleton
## 3048   1982   1374 skeleton
## 3049   1965   1384 skeleton
## 3050   1955   1378 seedling
## 3051   1969   1377 seedling
## 3052   1973   1381 seedling
## 3053   1971   1380 seedling
## 3054   1960   1378 seedling
## 3055   1970   1370 seedling
## 3056   1958   1362 seedling
## 3057   1958   1363 seedling
## 3058   1951   1361 seedling
## 3059   1968   1304 seedling
## 3060   1959   1300 seedling
## 3061   1945   1307 seedling
## 3062   2098   1322 skeleton
## 3063   2070   1301 skeleton
## 3064   2060   1307 skeleton
## 3065   2059   1311 skeleton
## 3066   2062   1310 skeleton
## 3067   2055   1364 skeleton
## 3068   2097   1399 skeleton
## 3069   2081   1387 skeleton
## 3070   2004   1341  rosette
## 3071   2005   1348 seedling
## 3072   2005   1361 seedling
## 3073   2033   1399 seedling
## 3074   2036   1399 seedling
## 3075   2050   1399 seedling
## 3076   2098   1352 seedling
## 3077   2091   1373 seedling
## 3078   2197   1306 skeleton
## 3079   2138   1399 skeleton
## 3080   2100   1305 seedling
## 3081   2162   1304 seedling
## 3082   2172   1329 seedling
## 3083   2151   1331  rosette
## 3084   2183   1340 seedling
## 3085   2156   1345 seedling
## 3086   2154   1360 seedling
## 3087   2142   1361 seedling
## 3088   2158   1375 seedling
## 3089   2146   1381 seedling
## 3090   2165   1397 skeleton
## 3091   2162   1354 seedling
## 3092   2111   1375 seedling
## 3093   2202   1301 skeleton
## 3094   2245   1305 skeleton
## 3095   2243   1311 skeleton
## 3096   2259   1312 skeleton
## 3097   2279   1307 regrowth
## 3098   2254   1341 skeleton
## 3099   2234   1353 skeleton
## 3100   2261   1354 skeleton
## 3101   2257   1378 skeleton
## 3102   2284   1352 skeleton
## 3103   2255   1399 regrowth
## 3104   2250   1393 skeleton
## 3105   2208   1380 seedling
## 3106   2221   1377 seedling
## 3107   2314   1300 skeleton
## 3108   2331   1341 skeleton
## 3109   2331   1333 skeleton
## 3110   2321   1399 seedling
## 3111   2352   1347 seedling
## 3112   2438   1399 skeleton
## 3113   2562   1344 skeleton
## 3114   2574   1357 skeleton
## 3115   2578   1397 seedling
## 3116   2583   1302 seedling
## 3117   2657   1376 seedling
## 3118   2611   1378 seedling
## 3119   2655   1382 seedling
## 3120   2761   1306 skeleton
## 3121   2753   1311 skeleton
## 3122   2745   1313 skeleton
## 3123   2700   1364 skeleton
## 3124   2717   1388 seedling
## 3125   2746   1390 seedling
## 3126   2716   1391 seedling
## 3127   2715   1397 seedling
## 3128   2893   1301 seedling
## 3129   2902   1354 seedling
## 3130   2904   1357 seedling
## 3131   2905   1358 seedling
## 3132   2975   1394 seedling
## 3133   2931   1399 seedling
## 3134   2905   1386 seedling
## 3135      2   1462 regrowth
## 3136     11   1452 skeleton
## 3137     20   1458 skeleton
## 3138     16   1467 skeleton
## 3139     26   1454 skeleton
## 3140      0   1425 regrowth
## 3141     92   1420 skeleton
## 3142     98   1416 skeleton
## 3143    114   1417 skeleton
## 3144    178   1499 skeleton
## 3145    192   1476 skeleton
## 3146    226   1428 skeleton
## 3147    298   1431 seedling
## 3148    278   1402 seedling
## 3149    354   1457 skeleton
## 3150    322   1469 skeleton
## 3151    324   1469 seedling
## 3152    321   1481 skeleton
## 3153    769   1436 skeleton
## 3154    765   1442 regrowth
## 3155    791   1439 skeleton
## 3156    817   1417 skeleton
## 3157    897   1445 skeleton
## 3158    879   1488 skeleton
## 3159    825   1408 seedling
## 3160    826   1409 seedling
## 3161    827   1407 seedling
## 3162    841   1428 seedling
## 3163    836   1429 seedling
## 3164    838   1430 seedling
## 3165    837   1432 seedling
## 3166    867   1446 seedling
## 3167    810   1472  rosette
## 3168    876   1498 seedling
## 3169    986   1451 skeleton
## 3170    983   1487 skeleton
## 3171    972   1478 skeleton
## 3172    971   1403  rosette
## 3173    903   1411 skeleton
## 3174    916   1464 seedling
## 3175    932   1467 seedling
## 3176    912   1465 seedling
## 3177    916   1477 seedling
## 3178    919   1478 seedling
## 3179    915   1479 seedling
## 3180    915   1480 seedling
## 3181    981   1493 skeleton
## 3182   1099   1423 skeleton
## 3183   1084   1418 skeleton
## 3184   1094   1429 skeleton
## 3185   1079   1434 skeleton
## 3186   1009   1428 skeleton
## 3187   1035   1491 skeleton
## 3188   1082   1403 skeleton
## 3189   1080   1438 skeleton
## 3190   1009   1404 seedling
## 3191   1073   1413 seedling
## 3192   1075   1414 seedling
## 3193   1071   1414 seedling
## 3194   1078   1415 seedling
## 3195   1094   1402 seedling
## 3196   1109   1447 skeleton
## 3197   1126   1456 skeleton
## 3198   1173   1471 skeleton
## 3199   1198   1466 skeleton
## 3200   1131   1477 skeleton
## 3201   1225   1401 skeleton
## 3202   1209   1457 skeleton
## 3203   1288   1402 skeleton
## 3204   1296   1414 skeleton
## 3205   1294   1426 skeleton
## 3206   1271   1467 skeleton
## 3207   1227   1454 skeleton
## 3208   1208   1464 skeleton
## 3209   1256   1497 skeleton
## 3210   1206   1499 skeleton
## 3211   1299   1497 skeleton
## 3212   1266   1486 skeleton
## 3213   1208   1459 skeleton
## 3214   1214   1461 seedling
## 3215   1342   1419 skeleton
## 3216   1306   1432 skeleton
## 3217   1319   1442 skeleton
## 3218   1334   1457 skeleton
## 3219   1338   1446 skeleton
## 3220   1325   1461 skeleton
## 3221   1339   1467 skeleton
## 3222   1348   1451 skeleton
## 3223   1390   1490 skeleton
## 3224   1327   1451 seedling
## 3225   1326   1452 seedling
## 3226   1342   1453 seedling
## 3227   1341   1451 seedling
## 3228   1323   1459 seedling
## 3229   1326   1459 seedling
## 3230   1327   1460 seedling
## 3231   1326   1463 seedling
## 3232   1325   1466 seedling
## 3233   1320   1469 seedling
## 3234   1342   1491 skeleton
## 3235   1382   1488 skeleton
## 3236   1421   1446 seedling
## 3237   1415   1429 skeleton
## 3238   1483   1467 skeleton
## 3239   1576   1441 skeleton
## 3240   1579   1443 skeleton
## 3241   1588   1426 skeleton
## 3242   1558   1437 seedling
## 3243   1557   1439 seedling
## 3244   1553   1442 seedling
## 3245   1554   1443 seedling
## 3246   1555   1445 seedling
## 3247   1558   1445 seedling
## 3248   1528   1443 seedling
## 3249   1646   1414 skeleton
## 3250   1651   1418 skeleton
## 3251   1604   1402 skeleton
## 3252   1610   1469 skeleton
## 3253   1622   1465 skeleton
## 3254   1643   1468 skeleton
## 3255   1644   1499 skeleton
## 3256   1646   1499 skeleton
## 3257   1760   1403 skeleton
## 3258   1761   1404 skeleton
## 3259   1741   1412 skeleton
## 3260   1785   1499 skeleton
## 3261   1781   1403 seedling
## 3262   1858   1406 skeleton
## 3263   1897   1448 skeleton
## 3264   1899   1453 skeleton
## 3265   1858   1461 skeleton
## 3266   1833   1486 skeleton
## 3267   1849   1499 skeleton
## 3268   1899   1499 skeleton
## 3269   1890   1401 seedling
## 3270   1887   1404 seedling
## 3271   1889   1404 seedling
## 3272   1885   1408 seedling
## 3273   1835   1424 seedling
## 3274   1844   1425 seedling
## 3275   1843   1426 seedling
## 3276   1889   1432 seedling
## 3277   1857   1437 seedling
## 3278   1841   1448 seedling
## 3279   1848   1449 seedling
## 3280   1926   1444 skeleton
## 3281   1925   1443 skeleton
## 3282   1908   1405 seedling
## 3283   1906   1404 seedling
## 3284   1969   1407 seedling
## 3285   1981   1448 seedling
## 3286   1977   1461 seedling
## 3287   1912   1488 seedling
## 3288   1915   1488 seedling
## 3289   1916   1489 seedling
## 3290   1925   1489 seedling
## 3291   1924   1494 seedling
## 3292   1914   1495 seedling
## 3293   1905   1499 seedling
## 3294   1907   1499 seedling
## 3295   1909   1499 seedling
## 3296   2073   1452 skeleton
## 3297   2092   1467 skeleton
## 3298   2092   1412 skeleton
## 3299   2018   1405 seedling
## 3300   2011   1405 seedling
## 3301   2018   1407 seedling
## 3302   2023   1403 seedling
## 3303   2033   1401 seedling
## 3304   2049   1400 seedling
## 3305   2053   1403 seedling
## 3306   2055   1402 seedling
## 3307   2055   1404 seedling
## 3308   2065   1414 seedling
## 3309   2058   1416 seedling
## 3310   2059   1417 seedling
## 3311   2064   1418 seedling
## 3312   2068   1420 seedling
## 3313   2072   1444 seedling
## 3314   2099   1454 seedling
## 3315   2098   1452 seedling
## 3316   2069   1470 seedling
## 3317   2048   1473 seedling
## 3318   2050   1475 seedling
## 3319   2070   1491 seedling
## 3320   2051   1499 seedling
## 3321   2137   1422 skeleton
## 3322   2153   1499 skeleton
## 3323   2134   1433 skeleton
## 3324   2156   1433 seedling
## 3325   2165   1440 seedling
## 3326   2179   1448 seedling
## 3327   2178   1453 seedling
## 3328   2192   1458 seedling
## 3329   2139   1465 seedling
## 3330   2160   1473 skeleton
## 3331   2145   1471 seedling
## 3332   2188   1483 seedling
## 3333   2173   1498 seedling
## 3334   2180   1499 seedling
## 3335   2260   1403 skeleton
## 3336   2264   1404 skeleton
## 3337   2261   1427 skeleton
## 3338   2222   1442 skeleton
## 3339   2206   1482 skeleton
## 3340   2366   1422 skeleton
## 3341   2428   1482 skeleton
## 3342   2439   1477 seedling
## 3343   2526   1416 regrowth
## 3344   2515   1420 skeleton
## 3345   2584   1426 seedling
## 3346   2541   1446 seedling
## 3347   2536   1446 seedling
## 3348   2571   1460 seedling
## 3349   2570   1462 seedling
## 3350   2510   1499  rosette
## 3351   2551   1469 seedling
## 3352   2729   1416 seedling
## 3353   2798   1457 seedling
## 3354   2877   1434 seedling
## 3355   2830   1469 seedling
## 3356   2831   1469 seedling
## 3357   2835   1485 seedling
## 3358   2828   1486 seedling
## 3359   2987   1412 seedling

tipo <- factor(datosrw$type)
xrw <- as.vector(datosrw$xcoord)
yrw <- as.vector(datosrw$ycoord)

levels(tipo)

## [1] "regrowth" "rosette"  "seedling" "skeleton"

ragwort <- ppp(xrw, yrw, c(0,3000), c(0,1500), marks=tipo)

#Gráfico de aptron de puntos

plot(split(ragwort), main="")

#intensidad = densidad media de puntos por uniad de area

#Conteo por cuadrantes... se pueden definir los parametros para elejir el tamaño de los cuadrantes o los limites
plot(quadratcount(ragwort),main="")

plot(quadratcount(ragwort,
xbreaks=c(0,500,1000,1500,2000,2500,3000),
ybreaks=c(0,500,1000,1500)),main="") ### Cuadrantes de 0.5 m

#Grafico de densidad
Z <- density.ppp(ragwort)
plot(Z,main="")

#la representación grafica clasica de un patron espacial de puntos es la K de Ripley
K <- Kest(ragwort)

## number of data points exceeds 3000 - computing border correction estimate only

plot(K, main = "K function")

## La grafica muestra que la distribución de puntos es agregada por estár encima de la linea de aleatoriedad espacial completa

#Funcion correlación de pares
pc <- pcf(ragwort)
plot(pc, main = "Pair correlation function")

#mpa de distancia alrededor de individuos

Z <- distmap(ragwort)
plot(Z,main="")

#se puede utilizar spatstat para crear un amplio rango de patrones de puntos alatorios


# nndist distancia de vecinos más cercanos;
# nnwhich encontrar el vecino más cercano;
# pairdist Distancia entre todos los pares de puntos;
# crossdist distancias entre puntos en dos patrones;
# exactdt distancia de cualquier ubicación al punto de dato más cercano;
# distmap miagen de mapa de distancia;
# density.ppp suavizado de densidad de kernel.


# el modelo de proceso de puntos se hace con ppm

#revisar model <- ppm(ragwort, ~marks + polynom(x, y, 2), Poisson()) ####
#revisar plot(model) ####################################################

Paquete spdep

Se requiere que:

las coordenadas esten en una matriz de dos columnas con \(x\) en la primera y \(y\) en la segunda. un archivo de vecinos, nb, con las regiones vecinas a cada región. Dataframe conteniedo cada region, sus vecinos y el peso estadístico de la asociación entro las dos regiones en cada fila. lista que contiene las identidades de los \(k\)vecinos mas cercanos. \(knn\) un objeto de lista de pesos, adecuado para calcular indice de Moran y C de Geary. lista de polígonos definiendo los limites de cada region en un mapa

#para los datos anteriores
library(spdep)


data <- read.table("ragwortmap.txt",header=T)
names(data)

##  [1] "ROW"          "COLUMN"       "X"            "Y"            "rosette"     
##  [6] "regenerating" "stems"        "diameter"     "xcoord"       "ycoord"      
## [11] "type"

datosrw <- data[,9:11]
datosrw

##      xcoord ycoord     type
## 1        27     34 seedling
## 2        29     34 seedling
## 3        20     56 seedling
## 4        20     61 seedling
## 5        78     66 seedling
## 6        25     68 seedling
## 7        89     82 seedling
## 8        97     96 seedling
## 9       253     31 seedling
## 10      259     50 seedling
## 11      531     35 seedling
## 12      533     37 seedling
## 13      536     37 seedling
## 14      532     40 seedling
## 15      529     41 seedling
## 16      520     44 seedling
## 17      526     44 seedling
## 18      529     45 seedling
## 19      517     49 seedling
## 20      516     60 seedling
## 21      578     67 seedling
## 22      688     26  rosette
## 23      738     25 seedling
## 24      739     26 seedling
## 25      793     31  rosette
## 26      765     97 seedling
## 27      831      2 seedling
## 28      833      8 seedling
## 29      811     12 seedling
## 30      826     36 seedling
## 31      826     66 seedling
## 32      933     24 seedling
## 33      939     25 seedling
## 34      932     28 seedling
## 35      941     49 seedling
## 36      940     53 seedling
## 37      923     88 seedling
## 38      915     90 seedling
## 39     1042      8  rosette
## 40     1099     12  rosette
## 41     1020     33 skeleton
## 42     1112     15  rosette
## 43     1100     11 seedling
## 44     1166     56  rosette
## 45     1105     83 seedling
## 46     1165     99 seedling
## 47     1231      0 skeleton
## 48     1280     77 seedling
## 49     1235     99 skeleton
## 50     1239     90 skeleton
## 51     1349     99 skeleton
## 52     1361      0 seedling
## 53     1412      8  rosette
## 54     1453      2 seedling
## 55     1426     54 skeleton
## 56     1431     99 skeleton
## 57     1638     93 skeleton
## 58     1622     31 seedling
## 59     1763     95 skeleton
## 60     1753     99 skeleton
## 61     1725     67 skeleton
## 62     1716     84 skeleton
## 63     1765     66 seedling
## 64     1782     54  rosette
## 65     1781     52  rosette
## 66     1868     91 skeleton
## 67     1897     41 skeleton
## 68     1858     50 skeleton
## 69     1897     60 skeleton
## 70     1896     74 skeleton
## 71     1848     77 skeleton
## 72     1862     81 skeleton
## 73     1825      3  rosette
## 74     1830      9 seedling
## 75     1870     92 skeleton
## 76     1990     33 skeleton
## 77     1955     68 skeleton
## 78     1955     70 skeleton
## 79     1953     70 skeleton
## 80     1908     83 skeleton
## 81     1985     94 skeleton
## 82     1992     99 skeleton
## 83     1951     68 skeleton
## 84     1999     53 skeleton
## 85     1914     92 seedling
## 86     1988     49 seedling
## 87     1996     55 seedling
## 88     2078     17 skeleton
## 89     2043     64 skeleton
## 90     2005     64 skeleton
## 91     2067     83 skeleton
## 92     2086     93 skeleton
## 93     2191     69 skeleton
## 94     2206      1  rosette
## 95     2254     63  rosette
## 96     2204     99 seedling
## 97     2335     35 seedling
## 98     2372     36 seedling
## 99     2375     36 seedling
## 100    2384     47  rosette
## 101    2367     43 seedling
## 102    2333     90 skeleton
## 103    2371     99 skeleton
## 104    2338     99 seedling
## 105    2343     98 seedling
## 106    2436     11 seedling
## 107    2444     21  rosette
## 108    2449     71  rosette
## 109    2537      6  rosette
## 110    2569      2  rosette
## 111    2513     16 seedling
## 112    2543     48 skeleton
## 113    2533     78 skeleton
## 114    2524     82 skeleton
## 115    2569     63 regrowth
## 116    2587      6 skeleton
## 117    2619     24 skeleton
## 118    2680     78 seedling
## 119    2681     67 seedling
## 120    2665     66 seedling
## 121    2682     66 seedling
## 122    2676     54 seedling
## 123    2717     52 regrowth
## 124    2789     12 skeleton
## 125    2796     32 regrowth
## 126    2799     36 skeleton
## 127    2724     69 skeleton
## 128    2731     72 skeleton
## 129    2753     92 skeleton
## 130    2748     99 skeleton
## 131    2716     89 skeleton
## 132    2751     86 skeleton
## 133    2799     99 skeleton
## 134    2858     62 regrowth
## 135    2800     38 skeleton
## 136    2810     67 skeleton
## 137    2956     13 skeleton
## 138    2921     98  rosette
## 139    2941     73 seedling
## 140      73    117 seedling
## 141      61    125 seedling
## 142      88    131 seedling
## 143      89    132 seedling
## 144      88    136 seedling
## 145      36    137 seedling
## 146      66    138 seedling
## 147      71    155 seedling
## 148      63    193 seedling
## 149     116    143 seedling
## 150     131    156 seedling
## 151     114    161 seedling
## 152     230    105 seedling
## 153     229    115 seedling
## 154     267    171 seedling
## 155     389    155 skeleton
## 156     379    144 regrowth
## 157     407    136 skeleton
## 158     502    134 skeleton
## 159     588    100 skeleton
## 160     597    199 skeleton
## 161     601    191 skeleton
## 162     682    135 skeleton
## 163     646    199 seedling
## 164     680    195 seedling
## 165     779    124 seedling
## 166     716    161 seedling
## 167     789    176 regrowth
## 168     736    190 skeleton
## 169     926    144 seedling
## 170    1003    190 skeleton
## 171    1029    198 skeleton
## 172    1101    125 skeleton
## 173    1189    173 skeleton
## 174    1141    143 seedling
## 175    1231    175 skeleton
## 176    1287    181 skeleton
## 177    1277    154 skeleton
## 178    1324    147 regrowth
## 179    1333    128 skeleton
## 180    1379    194  rosette
## 181    1379    198 seedling
## 182    1421    108 skeleton
## 183    1450    122 skeleton
## 184    1407    119 skeleton
## 185    1453    130 skeleton
## 186    1456    130 skeleton
## 187    1486    136 skeleton
## 188    1454    162 skeleton
## 189    1447    173 skeleton
## 190    1425    167 seedling
## 191    1410    122 seedling
## 192    1443    147 seedling
## 193    1436    165 seedling
## 194    1585    197 seedling
## 195    1579    199 seedling
## 196    1580    197 seedling
## 197    1510    199 seedling
## 198    1613    147 skeleton
## 199    1686    160 seedling
## 200    1683    161 seedling
## 201    1690    162 seedling
## 202    1681    168 seedling
## 203    1696    122 seedling
## 204    1763    142 skeleton
## 205    1720    176 skeleton
## 206    1788    199 skeleton
## 207    1763    129 seedling
## 208    1704    109 seedling
## 209    1858    133 skeleton
## 210    1876    135 skeleton
## 211    1882    198 skeleton
## 212    1860    187 skeleton
## 213    1827    178 skeleton
## 214    1815    188 skeleton
## 215    1858    193 skeleton
## 216    1838    186 skeleton
## 217    1806    176 seedling
## 218    1809    182 seedling
## 219    1859    199 seedling
## 220    1923    117 regrowth
## 221    1961    131 seedling
## 222    1973    136 regrowth
## 223    1991    169 skeleton
## 224    1949    174 seedling
## 225    1975    185 seedling
## 226    1910    103 seedling
## 227    1948    149 seedling
## 228    1944    150 seedling
## 229    1948    152 seedling
## 230    1940    162 seedling
## 231    2060    137 skeleton
## 232    2061    145 skeleton
## 233    2097    196 skeleton
## 234    2086    103 seedling
## 235    2109    122 skeleton
## 236    2191    120 skeleton
## 237    2164    125 skeleton
## 238    2236    134 skeleton
## 239    2284    141  rosette
## 240    2246    134 skeleton
## 241    2237    170  rosette
## 242    2294    176 seedling
## 243    2285    176 seedling
## 244    2344    103 seedling
## 245    2366    139 seedling
## 246    2313    157  rosette
## 247    2379    161 regrowth
## 248    2341    168 seedling
## 249    2444    107 regrowth
## 250    2437    165 skeleton
## 251    2479    179 seedling
## 252    2478    181 seedling
## 253    2486    186 seedling
## 254    2482    188 seedling
## 255    2491    188 seedling
## 256    2473    191 seedling
## 257    2441    150 seedling
## 258    2456    127 regrowth
## 259    2489    100 seedling
## 260    2564    183 skeleton
## 261    2509    175 seedling
## 262    2539    122  rosette
## 263    2698    177 regrowth
## 264    2609    148 skeleton
## 265    2613    158 skeleton
## 266    2698    116 seedling
## 267    2755    164 skeleton
## 268    2792    184 skeleton
## 269    2836    135 regrowth
## 270    2819    156 skeleton
## 271    2813    199 skeleton
## 272    2917    100  rosette
## 273    2923    195  rosette
## 274    2953    176 skeleton
## 275    2960    143 skeleton
## 276    2940    197 skeleton
## 277    2962    148 skeleton
## 278      28    296 seedling
## 279      30    295 seedling
## 280     112    292 skeleton
## 281     135    295 skeleton
## 282     275    213 skeleton
## 283     380    241 skeleton
## 284     471    226 skeleton
## 285     446    226 skeleton
## 286     441    234 skeleton
## 287     499    208 regrowth
## 288     475    299 skeleton
## 289     478    209 skeleton
## 290     540    204 regrowth
## 291     589    220 regrowth
## 292     500    217 skeleton
## 293     528    244 regrowth
## 294     527    234 skeleton
## 295     508    258 regrowth
## 296     561    283 skeleton
## 297     541    296 skeleton
## 298     607    216 skeleton
## 299     632    220 skeleton
## 300     693    229 regrowth
## 301     657    240 skeleton
## 302     645    274 skeleton
## 303     647    291 skeleton
## 304     628    288 skeleton
## 305     655    295 skeleton
## 306     664    289 seedling
## 307     665    229 skeleton
## 308     682    242 skeleton
## 309     740    201 skeleton
## 310     732    241 skeleton
## 311     731    270 skeleton
## 312     782    285 skeleton
## 313     761    285 regrowth
## 314     700    282 regrowth
## 315     771    299 skeleton
## 316     739    210 seedling
## 317     793    267 skeleton
## 318     872    200  rosette
## 319     998    275  rosette
## 320     907    234  rosette
## 321    1002    296  rosette
## 322    1062    209 skeleton
## 323    1042    236 skeleton
## 324    1053    242 skeleton
## 325    1040    273 skeleton
## 326    1071    296 seedling
## 327    1025    242 seedling
## 328    1179    216 skeleton
## 329    1192    229  rosette
## 330    1118    231 seedling
## 331    1183    249 skeleton
## 332    1161    260 skeleton
## 333    1171    260 skeleton
## 334    1130    285 skeleton
## 335    1278    200 regrowth
## 336    1249    290 skeleton
## 337    1375    203  rosette
## 338    1323    243 regrowth
## 339    1313    247 seedling
## 340    1327    252 seedling
## 341    1380    260 seedling
## 342    1552    266 seedling
## 343    1548    269 seedling
## 344    1549    271 seedling
## 345    1544    272 seedling
## 346    1538    276 seedling
## 347    1516    276 seedling
## 348    1510    271 seedling
## 349    1565    264 seedling
## 350    1576    277 seedling
## 351    1578    278 seedling
## 352    1579    279 seedling
## 353    1558    287 seedling
## 354    1563    289 seedling
## 355    1566    290 seedling
## 356    1568    290 seedling
## 357    1573    290 seedling
## 358    1571    292 seedling
## 359    1576    295 seedling
## 360    1573    253 seedling
## 361    1654    215 seedling
## 362    1697    250 skeleton
## 363    1644    285 skeleton
## 364    1610    224 seedling
## 365    1702    289 skeleton
## 366    1721    275 skeleton
## 367    1780    225 skeleton
## 368    1729    255 skeleton
## 369    1799    210 seedling
## 370    1848    202 skeleton
## 371    1843    220 skeleton
## 372    1845    221 seedling
## 373    1858    232 skeleton
## 374    1872    214 seedling
## 375    1882    211 seedling
## 376    1883    210 seedling
## 377    1899    205 seedling
## 378    1896    204 seedling
## 379    1850    212 seedling
## 380    1877    233 skeleton
## 381    1853    236 seedling
## 382    1854    237 seedling
## 383    1886    252 seedling
## 384    1880    253 seedling
## 385    1844    292 skeleton
## 386    1804    295 skeleton
## 387    1856    299 skeleton
## 388    1941    206 skeleton
## 389    1934    244 skeleton
## 390    1999    293 skeleton
## 391    1907    239 seedling
## 392    1954    236 seedling
## 393    2039    220 skeleton
## 394    2062    231 skeleton
## 395    2019    278 skeleton
## 396    2067    299 regrowth
## 397    2068    211 seedling
## 398    2064    244 seedling
## 399    2119    222 skeleton
## 400    2131    232 skeleton
## 401    2150    282 skeleton
## 402    2171    291 regrowth
## 403    2199    261 skeleton
## 404    2130    227 seedling
## 405    2285    276 skeleton
## 406    2219    266 skeleton
## 407    2250    279 skeleton
## 408    2246    224 seedling
## 409    2282    263 seedling
## 410    2378    233 skeleton
## 411    2377    251 seedling
## 412    2372    269 seedling
## 413    2374    276 seedling
## 414    2338    275 seedling
## 415    2334    276 seedling
## 416    2331    277 seedling
## 417    2330    278 seedling
## 418    2327    277 seedling
## 419    2327    278 seedling
## 420    2327    279 seedling
## 421    2330    280 seedling
## 422    2327    282 seedling
## 423    2324    284 seedling
## 424    2371    287 seedling
## 425    2377    287 seedling
## 426    2373    290 seedling
## 427    2310    285 seedling
## 428    2356    298 seedling
## 429    2364    298 seedling
## 430    2368    298 seedling
## 431    2371    298 seedling
## 432    2360    299 seedling
## 433    2365    299 seedling
## 434    2357    299 seedling
## 435    2407    274 regrowth
## 436    2439    299  rosette
## 437    2419    299 seedling
## 438    2467    255  rosette
## 439    2481    219 seedling
## 440    2530    271 skeleton
## 441    2527    270  rosette
## 442    2567    297 skeleton
## 443    2570    299 skeleton
## 444    2625    256 skeleton
## 445    2629    290 skeleton
## 446    2762    236 skeleton
## 447    2789    225 skeleton
## 448    2736    235 regrowth
## 449    2777    213 skeleton
## 450    2713    237 skeleton
## 451    2770    242 skeleton
## 452    2786    247 skeleton
## 453    2764    255 skeleton
## 454    2769    263 skeleton
## 455    2768    268 skeleton
## 456    2762    264 regrowth
## 457    2730    278 skeleton
## 458    2734    292 skeleton
## 459    2714    299 skeleton
## 460    2858    213 regrowth
## 461    2855    224 regrowth
## 462    2867    222 skeleton
## 463    2867    233 regrowth
## 464    2812    235 skeleton
## 465    2818    230 skeleton
## 466    2856    243 skeleton
## 467    2876    256 regrowth
## 468    2863    261 skeleton
## 469    2867    299 skeleton
## 470    2998    269 skeleton
## 471    2993    288 seedling
## 472    2968    286 regrowth
## 473    2942    214 regrowth
## 474       0    388 skeleton
## 475     394    346 skeleton
## 476     321    355 skeleton
## 477     359    372 skeleton
## 478     329    382 skeleton
## 479     339    381 skeleton
## 480     344    387 skeleton
## 481     310    388 skeleton
## 482     432    314 skeleton
## 483     428    318 skeleton
## 484     477    320 skeleton
## 485     423    331 skeleton
## 486     474    334 skeleton
## 487     467    348 skeleton
## 488     413    349 regrowth
## 489     444    355 skeleton
## 490     455    360 skeleton
## 491     445    387 skeleton
## 492     430    395 skeleton
## 493     475    340 regrowth
## 494     548    307 skeleton
## 495     578    307 skeleton
## 496     543    309 skeleton
## 497     540    338 skeleton
## 498     576    341 skeleton
## 499     536    331 seedling
## 500     577    358 skeleton
## 501     538    381 skeleton
## 502     566    399 skeleton
## 503     586    367 skeleton
## 504     573    344 skeleton
## 505     630    300 skeleton
## 506     629    349 skeleton
## 507     658    383 skeleton
## 508     648    384 skeleton
## 509     666    389 skeleton
## 510     787    315 regrowth
## 511     786    325 skeleton
## 512     727    327 skeleton
## 513     793    338 skeleton
## 514     744    369 regrowth
## 515     760    370 skeleton
## 516     780    377 skeleton
## 517     780    378 seedling
## 518     792    387 skeleton
## 519     820    311 regrowth
## 520     891    366 skeleton
## 521     814    392 skeleton
## 522     916    306 skeleton
## 523     978    309 skeleton
## 524     933    309 skeleton
## 525     915    398 seedling
## 526     967    396 seedling
## 527     945    323 seedling
## 528    1025    334 skeleton
## 529    1053    389 skeleton
## 530    1006    327 skeleton
## 531    1135    312 skeleton
## 532    1108    350 skeleton
## 533    1184    388 skeleton
## 534    1200    351 skeleton
## 535    1200    388 skeleton
## 536    1337    349 skeleton
## 537    1338    381 skeleton
## 538    1382    339 seedling
## 539    1377    337 seedling
## 540    1431    321 seedling
## 541    1582    315 skeleton
## 542    1562    333 seedling
## 543    1576    304 seedling
## 544    1666    321 skeleton
## 545    1661    399 skeleton
## 546    1727    326 skeleton
## 547    1761    371 skeleton
## 548    1791    387 skeleton
## 549    1776    396 skeleton
## 550    1835    351 skeleton
## 551    1834    360 skeleton
## 552    1880    377 skeleton
## 553    1899    382 skeleton
## 554    1870    392 skeleton
## 555    1810    394 skeleton
## 556    1800    399 skeleton
## 557    1990    302 skeleton
## 558    1953    344 skeleton
## 559    1996    362 regrowth
## 560    1962    387 skeleton
## 561    1913    378 regrowth
## 562    1956    389 skeleton
## 563    1946    399 regrowth
## 564    1943    398 regrowth
## 565    2039    318 skeleton
## 566    2021    319 skeleton
## 567    2024    323 skeleton
## 568    2054    344 regrowth
## 569    2016    371 seedling
## 570    2058    365 regrowth
## 571    2048    342 seedling
## 572    2054    312 seedling
## 573    2119    301 skeleton
## 574    2132    318 skeleton
## 575    2163    341 skeleton
## 576    2142    348 skeleton
## 577    2101    392 skeleton
## 578    2273    321 skeleton
## 579    2298    302 skeleton
## 580    2253    320 skeleton
## 581    2217    336 skeleton
## 582    2250    366 skeleton
## 583    2208    369 skeleton
## 584    2220    369 skeleton
## 585    2273    373 skeleton
## 586    2351    315 skeleton
## 587    2301    301 skeleton
## 588    2337    350 regrowth
## 589    2354    358 skeleton
## 590    2324    360 skeleton
## 591    2349    364 skeleton
## 592    2317    381 skeleton
## 593    2342    387 skeleton
## 594    2342    388 skeleton
## 595    2368    388 seedling
## 596    2338    395 skeleton
## 597    2364    397 skeleton
## 598    2319    396 skeleton
## 599    2377    397 seedling
## 600    2377    399 seedling
## 601    2412    305 seedling
## 602    2424    302  rosette
## 603    2425    310  rosette
## 604    2482    361 skeleton
## 605    2467    387 seedling
## 606    2429    392  rosette
## 607    2434    392  rosette
## 608    2420    396  rosette
## 609    2471    399  rosette
## 610    2407    330  rosette
## 611    2574    327 skeleton
## 612    2571    345 skeleton
## 613    2534    328 skeleton
## 614    2574    365 regrowth
## 615    2557    368 skeleton
## 616    2555    390 skeleton
## 617    2610    312 skeleton
## 618    2614    310 skeleton
## 619    2686    338 regrowth
## 620    2613    349 skeleton
## 621    2623    357 skeleton
## 622    2650    366 regrowth
## 623    2608    371 skeleton
## 624    2641    399 skeleton
## 625    2648    306 seedling
## 626    2617    360 skeleton
## 627    2722    339 skeleton
## 628    2700    346 skeleton
## 629    2740    341 skeleton
## 630    2751    342 skeleton
## 631    2716    368 skeleton
## 632    2720    369 seedling
## 633    2729    376 skeleton
## 634    2786    340 regrowth
## 635    2786    338 skeleton
## 636    2788    361 skeleton
## 637    2757    300 skeleton
## 638    2747    372 regrowth
## 639    2800    330 skeleton
## 640    2802    350 regrowth
## 641    2835    344 skeleton
## 642    2870    357 skeleton
## 643    2827    334 skeleton
## 644    2927    327 skeleton
## 645    2990    329 skeleton
## 646    2918    351 skeleton
## 647    2940    357 regrowth
## 648    2986    314 seedling
## 649    2986    383 seedling
## 650    2962    325 seedling
## 651      16    484 regrowth
## 652     106    489 seedling
## 653     105    474 seedling
## 654     199    424 seedling
## 655     331    409 skeleton
## 656     451    403 skeleton
## 657     440    411 skeleton
## 658     403    412 skeleton
## 659     465    440 skeleton
## 660     435    444 skeleton
## 661     475    451 skeleton
## 662     448    458 skeleton
## 663     400    465 skeleton
## 664     412    471 regrowth
## 665     423    477 skeleton
## 666     407    477 skeleton
## 667     404    493 skeleton
## 668     439    499 regrowth
## 669     430    478 skeleton
## 670     461    489 skeleton
## 671     494    494 skeleton
## 672     410    440 seedling
## 673     564    406 skeleton
## 674     575    400 skeleton
## 675     519    433 skeleton
## 676     503    452 skeleton
## 677     502    468 regrowth
## 678     501    474 skeleton
## 679     590    449 skeleton
## 680     545    466 regrowth
## 681     517    480 skeleton
## 682     530    479 skeleton
## 683     581    484 skeleton
## 684     533    485 skeleton
## 685     669    401 skeleton
## 686     625    418 skeleton
## 687     675    428 skeleton
## 688     680    427 skeleton
## 689     627    428 skeleton
## 690     626    432 skeleton
## 691     662    441 skeleton
## 692     648    443 skeleton
## 693     638    444 skeleton
## 694     668    447 skeleton
## 695     663    450 skeleton
## 696     608    450 skeleton
## 697     665    449 skeleton
## 698     683    459 skeleton
## 699     685    459 skeleton
## 700     697    463 skeleton
## 701     659    485 skeleton
## 702     607    485 skeleton
## 703     601    499 skeleton
## 704     657    491 skeleton
## 705     681    460 skeleton
## 706     653    418 skeleton
## 707     672    406 seedling
## 708     787    414 skeleton
## 709     785    412 skeleton
## 710     731    414 skeleton
## 711     724    423 skeleton
## 712     720    421 skeleton
## 713     749    440 skeleton
## 714     737    441 skeleton
## 715     792    459 skeleton
## 716     741    457 skeleton
## 717     752    472 skeleton
## 718     743    478 skeleton
## 719     799    495 skeleton
## 720     767    495 skeleton
## 721     758    488 skeleton
## 722     738    419 skeleton
## 723     824    418 skeleton
## 724     819    448 skeleton
## 725     813    483 skeleton
## 726     844    490 skeleton
## 727     841    495 skeleton
## 728     826    497 skeleton
## 729     818    499 skeleton
## 730     958    499 seedling
## 731     941    480 seedling
## 732     948    464 seedling
## 733     949    460 seedling
## 734     939    417 seedling
## 735     941    422 seedling
## 736     944    421 seedling
## 737     902    402 seedling
## 738    1054    481 skeleton
## 739    1059    483 skeleton
## 740    1082    426  rosette
## 741    1168    469  rosette
## 742    1286    410 skeleton
## 743    1280    414 skeleton
## 744    1268    417 skeleton
## 745    1243    418 skeleton
## 746    1279    429 skeleton
## 747    1289    436 skeleton
## 748    1267    496 seedling
## 749    1284    484 seedling
## 750    1248    451 seedling
## 751    1374    467 skeleton
## 752    1375    466 skeleton
## 753    1368    478 skeleton
## 754    1380    480 skeleton
## 755    1311    482 skeleton
## 756    1316    493 skeleton
## 757    1406    432 seedling
## 758    1561    435 skeleton
## 759    1530    476 skeleton
## 760    1505    497 skeleton
## 761    1560    492 skeleton
## 762    1591    489 skeleton
## 763    1581    495 skeleton
## 764    1590    499 skeleton
## 765    1537    467 skeleton
## 766    1503    420 seedling
## 767    1594    496 seedling
## 768    1682    412 skeleton
## 769    1635    419 skeleton
## 770    1671    440 skeleton
## 771    1638    445 skeleton
## 772    1625    474 skeleton
## 773    1667    476 regrowth
## 774    1667    477 skeleton
## 775    1645    484 skeleton
## 776    1652    488 skeleton
## 777    1655    496 skeleton
## 778    1640    499 skeleton
## 779    1771    403 skeleton
## 780    1725    405 skeleton
## 781    1765    412 skeleton
## 782    1783    416 skeleton
## 783    1756    419 skeleton
## 784    1712    435 skeleton
## 785    1719    440 skeleton
## 786    1734    451 regrowth
## 787    1878    419 skeleton
## 788    1837    422 skeleton
## 789    1857    441 skeleton
## 790    1896    468 skeleton
## 791    1841    486 skeleton
## 792    1886    486 skeleton
## 793    1980    411 skeleton
## 794    1941    436 skeleton
## 795    1972    439 skeleton
## 796    1941    439 skeleton
## 797    1993    444 skeleton
## 798    1999    447 skeleton
## 799    1936    462 skeleton
## 800    1977    468 skeleton
## 801    1982    472 skeleton
## 802    1982    474 skeleton
## 803    1971    481 skeleton
## 804    1990    482 skeleton
## 805    2019    407 skeleton
## 806    2007    411 skeleton
## 807    2051    417 skeleton
## 808    2015    419 skeleton
## 809    2081    446 skeleton
## 810    2050    452 skeleton
## 811    2061    453 skeleton
## 812    2086    464 regrowth
## 813    2054    471 skeleton
## 814    2005    476 skeleton
## 815    2059    486 skeleton
## 816    2079    491 skeleton
## 817    2002    492 skeleton
## 818    2024    493 skeleton
## 819    2082    497 skeleton
## 820    2098    494 skeleton
## 821    2015    448 skeleton
## 822    2108    403 skeleton
## 823    2169    428 skeleton
## 824    2197    440 skeleton
## 825    2184    468 skeleton
## 826    2197    471 skeleton
## 827    2116    477 skeleton
## 828    2131    487 skeleton
## 829    2125    491 skeleton
## 830    2127    493 skeleton
## 831    2119    494 skeleton
## 832    2120    427  rosette
## 833    2251    418 skeleton
## 834    2244    424 skeleton
## 835    2252    424 skeleton
## 836    2267    428  rosette
## 837    2276    435 skeleton
## 838    2256    438 skeleton
## 839    2284    447 skeleton
## 840    2283    445 skeleton
## 841    2279    462 skeleton
## 842    2271    466 skeleton
## 843    2276    473 skeleton
## 844    2228    488 seedling
## 845    2281    468 seedling
## 846    2328    413 skeleton
## 847    2361    486 regrowth
## 848    2380    406  rosette
## 849    2384    416  rosette
## 850    2387    426 seedling
## 851    2372    448 seedling
## 852    2392    485 seedling
## 853    2385    454 seedling
## 854    2434    499 regrowth
## 855    2476    474  rosette
## 856    2483    457  rosette
## 857    2467    456 seedling
## 858    2461    454 seedling
## 859    2464    454 seedling
## 860    2468    452 seedling
## 861    2483    452  rosette
## 862    2464    449 seedling
## 863    2479    447 seedling
## 864    2470    448 seedling
## 865    2468    447 seedling
## 866    2466    441 seedling
## 867    2465    440 seedling
## 868    2484    442 seedling
## 869    2485    437 seedling
## 870    2424    441 seedling
## 871    2460    436 seedling
## 872    2423    442 seedling
## 873    2462    429  rosette
## 874    2469    416 seedling
## 875    2471    415 seedling
## 876    2469    414 seedling
## 877    2467    402  rosette
## 878    2569    413 skeleton
## 879    2595    413 skeleton
## 880    2591    422 skeleton
## 881    2592    428 skeleton
## 882    2507    441 regrowth
## 883    2575    446 skeleton
## 884    2564    444 skeleton
## 885    2523    454 skeleton
## 886    2579    462 skeleton
## 887    2593    470 skeleton
## 888    2594    471 skeleton
## 889    2573    498 skeleton
## 890    2627    417 regrowth
## 891    2636    420 regrowth
## 892    2600    436 skeleton
## 893    2685    434 regrowth
## 894    2680    443 skeleton
## 895    2686    439 skeleton
## 896    2666    493 skeleton
## 897    2790    406 skeleton
## 898    2793    406 skeleton
## 899    2732    416 skeleton
## 900    2712    422 skeleton
## 901    2730    419 skeleton
## 902    2745    412 skeleton
## 903    2756    418 skeleton
## 904    2770    407 skeleton
## 905    2750    412 skeleton
## 906    2780    417 skeleton
## 907    2790    446 skeleton
## 908    2737    460 skeleton
## 909    2723    453 skeleton
## 910    2729    462 skeleton
## 911    2721    467 skeleton
## 912    2782    471 regrowth
## 913    2720    482 skeleton
## 914    2744    473 skeleton
## 915    2758    452 skeleton
## 916    2814    405 skeleton
## 917    2865    409 skeleton
## 918    2863    416 skeleton
## 919    2877    424 skeleton
## 920    2878    430 skeleton
## 921    2800    459 skeleton
## 922    2800    465 regrowth
## 923    2812    463 skeleton
## 924    2979    436 skeleton
## 925    2960    418  rosette
## 926    2951    426 seedling
## 927    2967    431 seedling
## 928    2967    436 seedling
## 929    2965    437 seedling
## 930    2960    442 seedling
## 931    2958    444 seedling
## 932    2915    487 seedling
## 933      58    593 skeleton
## 934     190    599 skeleton
## 935     290    556 skeleton
## 936     276    550 skeleton
## 937     291    556 skeleton
## 938     229    581 skeleton
## 939     237    591 skeleton
## 940     300    546 regrowth
## 941     300    548 skeleton
## 942     342    518 skeleton
## 943     375    554 regrowth
## 944     376    561 skeleton
## 945     379    597 regrowth
## 946     398    530 regrowth
## 947     400    516 skeleton
## 948     420    510 skeleton
## 949     420    515 skeleton
## 950     485    563 skeleton
## 951     487    568 skeleton
## 952     429    570 skeleton
## 953     469    588 skeleton
## 954     573    507 skeleton
## 955     548    514 skeleton
## 956     560    517 skeleton
## 957     528    526 skeleton
## 958     535    528 seedling
## 959     564    525 seedling
## 960     537    561 skeleton
## 961     523    565 skeleton
## 962     535    568 skeleton
## 963     528    570 skeleton
## 964     589    537 skeleton
## 965     650    509 skeleton
## 966     680    595 seedling
## 967     676    589 seedling
## 968     669    586 seedling
## 969     683    579 seedling
## 970     676    560 seedling
## 971     606    515 seedling
## 972     716    510 skeleton
## 973     770    520 skeleton
## 974     777    519 skeleton
## 975     770    519 skeleton
## 976     732    520 skeleton
## 977     757    526 skeleton
## 978     769    528 skeleton
## 979     708    545 skeleton
## 980     705    549 skeleton
## 981     828    526 skeleton
## 982     819    531 skeleton
## 983     802    528 skeleton
## 984     825    536 skeleton
## 985     817    552 skeleton
## 986     848    509 seedling
## 987     938    526 skeleton
## 988     924    530 skeleton
## 989     937    544 skeleton
## 990     968    547 skeleton
## 991     919    561 skeleton
## 992     917    503 skeleton
## 993     989    512 seedling
## 994     983    514 seedling
## 995    1008    594 skeleton
## 996    1036    599  rosette
## 997    1048    598 seedling
## 998    1052    598  rosette
## 999    1087    594  rosette
## 1000   1086    591 seedling
## 1001   1097    577 seedling
## 1002   1095    552 seedling
## 1003   1011    520 seedling
## 1004   1158    524  rosette
## 1005   1184    525 seedling
## 1006   1290    508 skeleton
## 1007   1293    515 skeleton
## 1008   1240    589 skeleton
## 1009   1273    591 skeleton
## 1010   1253    527 seedling
## 1011   1321    556 regrowth
## 1012   1332    564 skeleton
## 1013   1350    573 seedling
## 1014   1354    571 seedling
## 1015   1375    510  rosette
## 1016   1476    563 skeleton
## 1017   1423    577 skeleton
## 1018   1485    578 skeleton
## 1019   1477    583  rosette
## 1020   1440    596 skeleton
## 1021   1404    582 seedling
## 1022   1522    526 skeleton
## 1023   1520    527 skeleton
## 1024   1511    539 skeleton
## 1025   1553    541 skeleton
## 1026   1576    542 skeleton
## 1027   1575    541 skeleton
## 1028   1573    591 skeleton
## 1029   1558    595 skeleton
## 1030   1581    595 skeleton
## 1031   1504    577 seedling
## 1032   1644    504 skeleton
## 1033   1639    540 skeleton
## 1034   1629    540 skeleton
## 1035   1623    542 skeleton
## 1036   1622    556 skeleton
## 1037   1661    571 skeleton
## 1038   1634    584 skeleton
## 1039   1648    592 skeleton
## 1040   1759    513 skeleton
## 1041   1744    512 skeleton
## 1042   1737    516 skeleton
## 1043   1736    520 skeleton
## 1044   1720    522 skeleton
## 1045   1781    527 skeleton
## 1046   1778    529 skeleton
## 1047   1776    530 skeleton
## 1048   1713    539 skeleton
## 1049   1703    544 skeleton
## 1050   1761    545 skeleton
## 1051   1775    552 skeleton
## 1052   1778    552 skeleton
## 1053   1780    544 skeleton
## 1054   1722    559 skeleton
## 1055   1707    564 skeleton
## 1056   1798    556 skeleton
## 1057   1716    573 skeleton
## 1058   1745    588 skeleton
## 1059   1730    565 skeleton
## 1060   1814    546 skeleton
## 1061   1806    541 skeleton
## 1062   1846    580 skeleton
## 1063   1816    567 skeleton
## 1064   1874    578 skeleton
## 1065   1802    587 skeleton
## 1066   1805    582 skeleton
## 1067   1878    593 skeleton
## 1068   1850    599 skeleton
## 1069   1834    599 skeleton
## 1070   1899    516 seedling
## 1071   1899    513 seedling
## 1072   1890    520 seedling
## 1073   1892    522 seedling
## 1074   1895    527 seedling
## 1075   1898    547  rosette
## 1076   1900    507 seedling
## 1077   1901    509 seedling
## 1078   1905    510 seedling
## 1079   1910    509  rosette
## 1080   1909    526 seedling
## 1081   1925    523  rosette
## 1082   1996    518 skeleton
## 1083   1960    537 skeleton
## 1084   1963    538 skeleton
## 1085   1954    568 skeleton
## 1086   1956    568 skeleton
## 1087   1993    574 skeleton
## 1088   1922    594 skeleton
## 1089   1955    599 skeleton
## 1090   2040    511 skeleton
## 1091   2052    534 skeleton
## 1092   2033    537 skeleton
## 1093   2027    539 skeleton
## 1094   2041    547 skeleton
## 1095   2066    567 skeleton
## 1096   2001    578 skeleton
## 1097   2031    572 skeleton
## 1098   2045    595 skeleton
## 1099   2099    547 skeleton
## 1100   2133    507 skeleton
## 1101   2148    514 skeleton
## 1102   2140    516 skeleton
## 1103   2150    520 skeleton
## 1104   2149    522 skeleton
## 1105   2168    528 skeleton
## 1106   2115    549 skeleton
## 1107   2116    556 skeleton
## 1108   2114    563 skeleton
## 1109   2106    589 skeleton
## 1110   2192    571  rosette
## 1111   2166    559 skeleton
## 1112   2290    508 skeleton
## 1113   2251    509 skeleton
## 1114   2267    530 skeleton
## 1115   2232    550 skeleton
## 1116   2260    589  rosette
## 1117   2358    594  rosette
## 1118   2336    581 seedling
## 1119   2388    549  rosette
## 1120   2416    510 skeleton
## 1121   2422    517 skeleton
## 1122   2433    502 seedling
## 1123   2477    556 seedling
## 1124   2563    543 skeleton
## 1125   2548    583 skeleton
## 1126   2531    593 skeleton
## 1127   2539    529  rosette
## 1128   2678    516 skeleton
## 1129   2650    532 skeleton
## 1130   2702    508 skeleton
## 1131   2738    510 skeleton
## 1132   2744    540 skeleton
## 1133   2735    543 skeleton
## 1134   2712    552 skeleton
## 1135   2700    538 skeleton
## 1136   2720    559 skeleton
## 1137   2772    584 skeleton
## 1138   2770    587 skeleton
## 1139   2792    569 skeleton
## 1140   2738    568 skeleton
## 1141   2793    541 seedling
## 1142   2879    517 skeleton
## 1143   2800    576 skeleton
## 1144   2983    537 skeleton
## 1145   2980    574 skeleton
## 1146     26    613 skeleton
## 1147     58    682 skeleton
## 1148    142    635 skeleton
## 1149    147    627 skeleton
## 1150    170    623 skeleton
## 1151    189    600 skeleton
## 1152    151    631 skeleton
## 1153    181    676 skeleton
## 1154    177    682 skeleton
## 1155    178    683 skeleton
## 1156    190    688 skeleton
## 1157    176    626 skeleton
## 1158    248    626 regrowth
## 1159    279    626 regrowth
## 1160    298    629 regrowth
## 1161    243    630 skeleton
## 1162    389    604 skeleton
## 1163    337    614 skeleton
## 1164    313    631 skeleton
## 1165    400    614 skeleton
## 1166    418    620 skeleton
## 1167    474    631 skeleton
## 1168    468    643 skeleton
## 1169    464    696 skeleton
## 1170    514    636 skeleton
## 1171    661    619 seedling
## 1172    667    617 seedling
## 1173    668    624 seedling
## 1174    684    625 seedling
## 1175    680    628 seedling
## 1176    686    634 seedling
## 1177    683    638  rosette
## 1178    661    643 seedling
## 1179    676    649 seedling
## 1180    654    681  rosette
## 1181    790    686 seedling
## 1182    749    667 seedling
## 1183    770    640 seedling
## 1184    889    668 skeleton
## 1185    883    691 skeleton
## 1186    874    698 skeleton
## 1187    849    698 seedling
## 1188    994    687  rosette
## 1189   1085    600  rosette
## 1190   1098    602  rosette
## 1191   1048    602  rosette
## 1192   1001    608  rosette
## 1193   1038    619  rosette
## 1194   1086    633  rosette
## 1195   1048    642  rosette
## 1196   1045    646 seedling
## 1197   1064    654 seedling
## 1198   1071    659 seedling
## 1199   1054    662  rosette
## 1200   1065    663  rosette
## 1201   1038    662 skeleton
## 1202   1051    671 seedling
## 1203   1016    686  rosette
## 1204   1198    676 skeleton
## 1205   1131    699 skeleton
## 1206   1104    602 skeleton
## 1207   1164    690 seedling
## 1208   1261    607 skeleton
## 1209   1292    607 seedling
## 1210   1203    696 seedling
## 1211   1330    608  rosette
## 1212   1390    633 skeleton
## 1213   1367    635 skeleton
## 1214   1481    653 skeleton
## 1215   1423    652 skeleton
## 1216   1429    655 skeleton
## 1217   1492    675 skeleton
## 1218   1418    629 seedling
## 1219   1402    653 seedling
## 1220   1520    605 skeleton
## 1221   1500    620 skeleton
## 1222   1507    627 skeleton
## 1223   1509    630 skeleton
## 1224   1574    600 skeleton
## 1225   1573    639 skeleton
## 1226   1547    649 skeleton
## 1227   1586    651 skeleton
## 1228   1503    664 skeleton
## 1229   1538    669 skeleton
## 1230   1569    686 skeleton
## 1231   1564    690 skeleton
## 1232   1618    611 skeleton
## 1233   1616    623 skeleton
## 1234   1660    642 skeleton
## 1235   1626    644 skeleton
## 1236   1624    652 skeleton
## 1237   1626    652 skeleton
## 1238   1618    646 skeleton
## 1239   1667    645 skeleton
## 1240   1635    636 skeleton
## 1241   1679    656 skeleton
## 1242   1616    642 skeleton
## 1243   1688    666 skeleton
## 1244   1627    660 skeleton
## 1245   1646    665 skeleton
## 1246   1621    666 skeleton
## 1247   1673    658 skeleton
## 1248   1651    686 skeleton
## 1249   1657    697 seedling
## 1250   1676    663 skeleton
## 1251   1739    602 skeleton
## 1252   1728    613 skeleton
## 1253   1736    617 skeleton
## 1254   1717    617 skeleton
## 1255   1706    659 skeleton
## 1256   1742    684 skeleton
## 1257   1742    697 seedling
## 1258   1822    607 skeleton
## 1259   1800    642 skeleton
## 1260   1848    638 skeleton
## 1261   1834    662 skeleton
## 1262   1823    680 skeleton
## 1263   1847    682 skeleton
## 1264   1890    698  rosette
## 1265   1894    692  rosette
## 1266   1866    636 seedling
## 1267   1998    629 skeleton
## 1268   1901    645  rosette
## 1269   1914    654 seedling
## 1270   1966    653  rosette
## 1271   1945    641 seedling
## 1272   1916    651 seedling
## 1273   1914    652 seedling
## 1274   1913    657 seedling
## 1275   1925    666  rosette
## 1276   1907    673  rosette
## 1277   1935    667  rosette
## 1278   1904    690 seedling
## 1279   1902    699 seedling
## 1280   1943    693 seedling
## 1281   1944    698 seedling
## 1282   1977    653 seedling
## 1283   1956    659 seedling
## 1284   1957    672 seedling
## 1285   2032    624 skeleton
## 1286   2003    634 skeleton
## 1287   2062    652 skeleton
## 1288   2079    642 skeleton
## 1289   2098    655 skeleton
## 1290   2090    601 skeleton
## 1291   2078    607 skeleton
## 1292   2106    621 skeleton
## 1293   2143    612 skeleton
## 1294   2156    624 skeleton
## 1295   2180    645 skeleton
## 1296   2145    677 skeleton
## 1297   2159    681 skeleton
## 1298   2161    633  rosette
## 1299   2110    639 seedling
## 1300   2100    641 seedling
## 1301   2111    643 seedling
## 1302   2279    628 skeleton
## 1303   2285    625 skeleton
## 1304   2230    622 skeleton
## 1305   2231    607 skeleton
## 1306   2246    615 skeleton
## 1307   2217    643 skeleton
## 1308   2298    690 skeleton
## 1309   2299    681 skeleton
## 1310   2299    649 seedling
## 1311   2294    652 seedling
## 1312   2279    650 seedling
## 1313   2264    662  rosette
## 1314   2269    662  rosette
## 1315   2271    672 seedling
## 1316   2292    671 seedling
## 1317   2265    674 seedling
## 1318   2270    675  rosette
## 1319   2294    674  rosette
## 1320   2275    677  rosette
## 1321   2290    678 seedling
## 1322   2294    680 seedling
## 1323   2292    683 seedling
## 1324   2288    692 seedling
## 1325   2290    684 seedling
## 1326   2278    686 seedling
## 1327   2288    687 seedling
## 1328   2288    691 seedling
## 1329   2275    691 seedling
## 1330   2364    610 skeleton
## 1331   2325    670 skeleton
## 1332   2317    673 skeleton
## 1333   2305    680 skeleton
## 1334   2302    692 regrowth
## 1335   2307    638  rosette
## 1336   2302    642 seedling
## 1337   2312    647  rosette
## 1338   2326    647 seedling
## 1339   2318    649 seedling
## 1340   2316    659 seedling
## 1341   2307    676 seedling
## 1342   2300    678 seedling
## 1343   2304    699 skeleton
## 1344   2414    651 skeleton
## 1345   2443    668 skeleton
## 1346   2460    678 skeleton
## 1347   2463    679 skeleton
## 1348   2450    685 regrowth
## 1349   2422    698 regrowth
## 1350   2447    685 seedling
## 1351   2525    602 skeleton
## 1352   2537    608 regrowth
## 1353   2542    620 skeleton
## 1354   2517    691 regrowth
## 1355   2531    699 skeleton
## 1356   2589    699 skeleton
## 1357   2566    681 regrowth
## 1358   2699    637 skeleton
## 1359   2699    699 skeleton
## 1360   2652    627 skeleton
## 1361   2662    630 skeleton
## 1362   2636    699 skeleton
## 1363   2672    670  rosette
## 1364   2659    671 seedling
## 1365   2715    610 skeleton
## 1366   2702    622 skeleton
## 1367   2741    699 skeleton
## 1368   2761    654 seedling
## 1369   2756    654 seedling
## 1370   2756    656 seedling
## 1371   2753    650 seedling
## 1372   2860    646 skeleton
## 1373   2862    653 skeleton
## 1374   2861    653 skeleton
## 1375   2890    699 regrowth
## 1376   2899    635 seedling
## 1377   2889    636 seedling
## 1378   2999    675 skeleton
## 1379   2998    694 skeleton
## 1380   2971    671 skeleton
## 1381   2911    696 skeleton
## 1382   2951    679 skeleton
## 1383   2926    674 seedling
## 1384     39    769 skeleton
## 1385    108    722 skeleton
## 1386    106    744 skeleton
## 1387    144    794 skeleton
## 1388    282    799 regrowth
## 1389    247    716  rosette
## 1390    303    770 skeleton
## 1391    395    744 skeleton
## 1392    401    725 skeleton
## 1393    402    734 regrowth
## 1394    420    785 skeleton
## 1395    464    749 skeleton
## 1396    635    712 seedling
## 1397    622    724 seedling
## 1398    650    731 seedling
## 1399    654    732  rosette
## 1400    644    734 seedling
## 1401    624    743 seedling
## 1402    628    743 seedling
## 1403    654    750 seedling
## 1404    634    757 seedling
## 1405    619    789 seedling
## 1406    648    793 seedling
## 1407    769    764 skeleton
## 1408    734    771 skeleton
## 1409    789    777 skeleton
## 1410    791    778 skeleton
## 1411    774    783 skeleton
## 1412    768    790 skeleton
## 1413    728    795 skeleton
## 1414    753    799 skeleton
## 1415    723    708 seedling
## 1416    772    704 seedling
## 1417    882    707 skeleton
## 1418    863    716 skeleton
## 1419    854    725 skeleton
## 1420    871    777 skeleton
## 1421    893    793 skeleton
## 1422    900    776 skeleton
## 1423    987    726 seedling
## 1424    979    727 seedling
## 1425    999    731 seedling
## 1426    962    735 seedling
## 1427    971    742 seedling
## 1428    970    743 seedling
## 1429    979    745 seedling
## 1430    957    747 seedling
## 1431    960    748 seedling
## 1432    961    749 seedling
## 1433    942    764 skeleton
## 1434   1116    711 skeleton
## 1435   1131    761  rosette
## 1436   1163    736  rosette
## 1437   1292    795 seedling
## 1438   1281    792 seedling
## 1439   1247    791 seedling
## 1440   1294    748 seedling
## 1441   1302    764  rosette
## 1442   1310    783 seedling
## 1443   1302    787 seedling
## 1444   1360    758 seedling
## 1445   1321    704  rosette
## 1446   1442    717 skeleton
## 1447   1458    744 skeleton
## 1448   1458    752 skeleton
## 1449   1444    756 skeleton
## 1450   1468    731 skeleton
## 1451   1478    734 skeleton
## 1452   1403    756 skeleton
## 1453   1471    762 skeleton
## 1454   1462    775 skeleton
## 1455   1491    767 skeleton
## 1456   1429    781 skeleton
## 1457   1409    784 skeleton
## 1458   1434    799 skeleton
## 1459   1457    700 skeleton
## 1460   1404    737  rosette
## 1461   1502    710 skeleton
## 1462   1575    708 skeleton
## 1463   1570    710 skeleton
## 1464   1549    727 skeleton
## 1465   1598    738 skeleton
## 1466   1518    752 seedling
## 1467   1602    799 skeleton
## 1468   1695    763 skeleton
## 1469   1692    763 skeleton
## 1470   1648    703 seedling
## 1471   1679    702 seedling
## 1472   1681    704 seedling
## 1473   1650    714 seedling
## 1474   1710    707 skeleton
## 1475   1753    759 skeleton
## 1476   1778    792 skeleton
## 1477   1772    736 seedling
## 1478   1771    734 seedling
## 1479   1736    702  rosette
## 1480   1817    706 skeleton
## 1481   1858    731 skeleton
## 1482   1822    739 skeleton
## 1483   1828    752 skeleton
## 1484   1887    700  rosette
## 1485   1897    700 seedling
## 1486   1889    710  rosette
## 1487   1888    705 seedling
## 1488   1886    717  rosette
## 1489   1885    728  rosette
## 1490   1899    743 seedling
## 1491   1821    757 seedling
## 1492   1876    776 seedling
## 1493   1906    706  rosette
## 1494   1909    713  rosette
## 1495   1903    720  rosette
## 1496   1936    700 seedling
## 1497   1937    703 seedling
## 1498   1944    709 seedling
## 1499   1923    727 seedling
## 1500   1972    737 seedling
## 1501   1910    757 seedling
## 1502   1913    766 seedling
## 1503   1900    772 seedling
## 1504   1962    761 seedling
## 1505   1999    792 seedling
## 1506   2045    706  rosette
## 1507   2060    707 seedling
## 1508   2052    703 seedling
## 1509   2063    706 seedling
## 1510   2007    727 skeleton
## 1511   2125    717 skeleton
## 1512   2119    719 skeleton
## 1513   2148    728 skeleton
## 1514   2135    726 skeleton
## 1515   2118    727 skeleton
## 1516   2199    761 skeleton
## 1517   2103    778 skeleton
## 1518   2127    786 skeleton
## 1519   2156    784 skeleton
## 1520   2138    791 skeleton
## 1521   2100    793 skeleton
## 1522   2165    792 skeleton
## 1523   2173    797 skeleton
## 1524   2144    796 skeleton
## 1525   2117    799 skeleton
## 1526   2122    700 skeleton
## 1527   2228    718 skeleton
## 1528   2259    726 skeleton
## 1529   2278    749 skeleton
## 1530   2276    760 skeleton
## 1531   2228    761 skeleton
## 1532   2249    763 skeleton
## 1533   2262    770 skeleton
## 1534   2266    772 skeleton
## 1535   2229    775 skeleton
## 1536   2218    787  rosette
## 1537   2269    798 skeleton
## 1538   2346    713 regrowth
## 1539   2349    715 regrowth
## 1540   2352    721 seedling
## 1541   2353    722 seedling
## 1542   2347    723 seedling
## 1543   2354    725 seedling
## 1544   2354    727 seedling
## 1545   2353    721 skeleton
## 1546   2392    749 skeleton
## 1547   2302    776 skeleton
## 1548   2304    776 skeleton
## 1549   2346    782 skeleton
## 1550   2309    790 skeleton
## 1551   2372    798 skeleton
## 1552   2383    796 skeleton
## 1553   2464    704 skeleton
## 1554   2457    706 skeleton
## 1555   2424    711 skeleton
## 1556   2481    719 skeleton
## 1557   2493    723 skeleton
## 1558   2416    723 skeleton
## 1559   2418    729 skeleton
## 1560   2473    730 skeleton
## 1561   2484    734 skeleton
## 1562   2452    742 skeleton
## 1563   2409    759 regrowth
## 1564   2486    764 skeleton
## 1565   2448    762 skeleton
## 1566   2411    771 skeleton
## 1567   2496    795 regrowth
## 1568   2563    703 skeleton
## 1569   2595    718 skeleton
## 1570   2551    721 skeleton
## 1571   2533    721 skeleton
## 1572   2589    758 skeleton
## 1573   2512    764 skeleton
## 1574   2511    766 regrowth
## 1575   2573    776 skeleton
## 1576   2565    774 skeleton
## 1577   2572    773 skeleton
## 1578   2570    786 skeleton
## 1579   2509    754 regrowth
## 1580   2656    711 skeleton
## 1581   2634    713 skeleton
## 1582   2627    722 skeleton
## 1583   2626    757 skeleton
## 1584   2631    761 skeleton
## 1585   2635    767 skeleton
## 1586   2646    779 regrowth
## 1587   2672    799 skeleton
## 1588   2706    709 skeleton
## 1589   2727    754 skeleton
## 1590   2703    779 skeleton
## 1591   2880    710 skeleton
## 1592   2883    728 skeleton
## 1593   2851    729 regrowth
## 1594   2896    771 skeleton
## 1595   2893    785 skeleton
## 1596   2952    766 skeleton
## 1597   2958    774 skeleton
## 1598   2901    798 skeleton
## 1599   2906    799 skeleton
## 1600   2926    735  rosette
## 1601      0    869 skeleton
## 1602     23    841 regrowth
## 1603    101    824 skeleton
## 1604    129    816 skeleton
## 1605    111    887 skeleton
## 1606    224    822 skeleton
## 1607    269    844 skeleton
## 1608    288    866 skeleton
## 1609    269    875 skeleton
## 1610    279    878 skeleton
## 1611    367    848 skeleton
## 1612    318    856 regrowth
## 1613    331    866 skeleton
## 1614    321    876 skeleton
## 1615    303    832 seedling
## 1616    449    899 skeleton
## 1617    451    898 seedling
## 1618    500    822 skeleton
## 1619    547    827 skeleton
## 1620    515    836 skeleton
## 1621    555    855 skeleton
## 1622    556    861 skeleton
## 1623    544    872 skeleton
## 1624    599    877 skeleton
## 1625    587    898 skeleton
## 1626    551    863 seedling
## 1627    551    865 seedling
## 1628    504    822 skeleton
## 1629    606    828 skeleton
## 1630    623    878 skeleton
## 1631    642    881 skeleton
## 1632    652    882 skeleton
## 1633    617    891 skeleton
## 1634    646    899 skeleton
## 1635    679    897 skeleton
## 1636    622    829 seedling
## 1637    607    844 seedling
## 1638    672    888 seedling
## 1639    604    893 seedling
## 1640    751    899 seedling
## 1641    800    804 skeleton
## 1642    855    847 seedling
## 1643    946    820 seedling
## 1644    968    831 seedling
## 1645    946    871 seedling
## 1646    957    872 seedling
## 1647   1379    806 skeleton
## 1648   1365    801 skeleton
## 1649   1381    821 skeleton
## 1650   1382    822 skeleton
## 1651   1378    821 skeleton
## 1652   1379    822 skeleton
## 1653   1339    879 skeleton
## 1654   1372    853 skeleton
## 1655   1398    854 skeleton
## 1656   1388    861 skeleton
## 1657   1386    892 skeleton
## 1658   1378    888 seedling
## 1659   1398    874 seedling
## 1660   1391    833 skeleton
## 1661   1384    821 skeleton
## 1662   1410    801 skeleton
## 1663   1426    800 skeleton
## 1664   1437    813 skeleton
## 1665   1454    821 regrowth
## 1666   1443    814 skeleton
## 1667   1463    839 skeleton
## 1668   1425    868 skeleton
## 1669   1419    875 skeleton
## 1670   1448    877 skeleton
## 1671   1469    881 skeleton
## 1672   1421    876 skeleton
## 1673   1425    887 skeleton
## 1674   1478    897 skeleton
## 1675   1426    898 skeleton
## 1676   1426    889 skeleton
## 1677   1407    864 skeleton
## 1678   1437    898 skeleton
## 1679   1443    899 skeleton
## 1680   1552    862 skeleton
## 1681   1517    872 skeleton
## 1682   1543    888 skeleton
## 1683   1548    889 skeleton
## 1684   1546    895 skeleton
## 1685   1502    884 skeleton
## 1686   1554    837 seedling
## 1687   1554    838 seedling
## 1688   1577    838 seedling
## 1689   1578    838 seedling
## 1690   1579    839 seedling
## 1691   1559    843 seedling
## 1692   1552    846 seedling
## 1693   1558    849 seedling
## 1694   1554    849 seedling
## 1695   1557    850 seedling
## 1696   1559    854 seedling
## 1697   1558    855 seedling
## 1698   1617    831 skeleton
## 1699   1619    833 skeleton
## 1700   1793    829 seedling
## 1701   1786    893 seedling
## 1702   1741    897 seedling
## 1703   1745    899 seedling
## 1704   1841    862 skeleton
## 1705   1802    809 seedling
## 1706   1828    844 seedling
## 1707   1803    861 seedling
## 1708   1809    877 seedling
## 1709   1848    879 seedling
## 1710   1853    891 seedling
## 1711   1911    800  rosette
## 1712   1964    802 seedling
## 1713   1996    821 seedling
## 1714   1931    817 seedling
## 1715   1933    816 seedling
## 1716   1935    819 seedling
## 1717   1918    821 seedling
## 1718   1924    823  rosette
## 1719   1927    822 seedling
## 1720   1926    825 seedling
## 1721   1945    827 seedling
## 1722   1926    827 seedling
## 1723   1932    830  rosette
## 1724   1944    832 seedling
## 1725   1952    834 seedling
## 1726   1946    856  rosette
## 1727   1943    871 seedling
## 1728   1900    854 seedling
## 1729   2055    818 skeleton
## 1730   2072    829 skeleton
## 1731   2071    846 skeleton
## 1732   2081    851 skeleton
## 1733   2069    851 skeleton
## 1734   2079    872 skeleton
## 1735   2041    829  rosette
## 1736   2047    835 seedling
## 1737   2054    891 seedling
## 1738   2178    804 skeleton
## 1739   2158    811 skeleton
## 1740   2176    817 skeleton
## 1741   2172    826 skeleton
## 1742   2184    824 skeleton
## 1743   2183    828 skeleton
## 1744   2163    839 skeleton
## 1745   2184    850 skeleton
## 1746   2179    855 skeleton
## 1747   2129    852 skeleton
## 1748   2163    856 skeleton
## 1749   2142    859 skeleton
## 1750   2166    879 skeleton
## 1751   2176    898 skeleton
## 1752   2171    899 skeleton
## 1753   2185    847 skeleton
## 1754   2187    848 skeleton
## 1755   2199    807  rosette
## 1756   2264    800 skeleton
## 1757   2249    800 skeleton
## 1758   2201    825 skeleton
## 1759   2202    829 skeleton
## 1760   2249    825 skeleton
## 1761   2292    821 skeleton
## 1762   2279    848 skeleton
## 1763   2269    879 skeleton
## 1764   2269    888 skeleton
## 1765   2282    894 skeleton
## 1766   2342    809 skeleton
## 1767   2351    817 skeleton
## 1768   2329    851 skeleton
## 1769   2362    864  rosette
## 1770   2333    852 seedling
## 1771   2352    896 seedling
## 1772   2399    823 skeleton
## 1773   2431    800 skeleton
## 1774   2409    807 regrowth
## 1775   2421    824 skeleton
## 1776   2463    836 skeleton
## 1777   2456    849 skeleton
## 1778   2495    884 regrowth
## 1779   2409    864 regrowth
## 1780   2454    892 skeleton
## 1781   2477    898 regrowth
## 1782   2455    864  rosette
## 1783   2500    819 skeleton
## 1784   2527    817 skeleton
## 1785   2549    828 skeleton
## 1786   2591    826 skeleton
## 1787   2592    839 skeleton
## 1788   2582    839 skeleton
## 1789   2521    812 regrowth
## 1790   2563    862 regrowth
## 1791   2561    860 skeleton
## 1792   2546    898 skeleton
## 1793   2603    859 skeleton
## 1794   2633    861 skeleton
## 1795   2693    835 skeleton
## 1796   2659    872 skeleton
## 1797   2699    892 skeleton
## 1798   2688    892 skeleton
## 1799   2663    899 skeleton
## 1800   2665    885 skeleton
## 1801   2661    849 skeleton
## 1802   2769    828 regrowth
## 1803   2719    854 skeleton
## 1804   2745    876 skeleton
## 1805   2721    899 skeleton
## 1806   2798    889 skeleton
## 1807   2799    899 skeleton
## 1808   2818    818  rosette
## 1809   2809    841 skeleton
## 1810   2893    804 skeleton
## 1811   2878    806 skeleton
## 1812   2864    831 skeleton
## 1813   2859    847  rosette
## 1814   2843    872 skeleton
## 1815   2823    886 skeleton
## 1816   2802    889 skeleton
## 1817   2809    840 skeleton
## 1818   2809    820 skeleton
## 1819   2803    833 skeleton
## 1820   2828    875 skeleton
## 1821   2830    883 skeleton
## 1822   2946    817 skeleton
## 1823   2919    834 skeleton
## 1824   2909    844 skeleton
## 1825   2982    822 regrowth
## 1826   2975    884 seedling
## 1827   2978    882 seedling
## 1828   2984    862 seedling
## 1829     71    909 skeleton
## 1830     69    914 skeleton
## 1831     74    918 skeleton
## 1832     11    998 skeleton
## 1833     15    992 skeleton
## 1834     21    981 regrowth
## 1835    154    963 skeleton
## 1836    148    922 skeleton
## 1837    143    967 skeleton
## 1838    129    979 skeleton
## 1839    229    938 skeleton
## 1840    291    969 skeleton
## 1841    338    908 skeleton
## 1842    311    922 skeleton
## 1843    328    926 skeleton
## 1844    396    972 skeleton
## 1845    391    982 skeleton
## 1846    392    987 skeleton
## 1847    488    944 skeleton
## 1848    442    954 skeleton
## 1849    431    961 skeleton
## 1850    457    986 skeleton
## 1851    472    963 skeleton
## 1852    448    973 seedling
## 1853    451    969 seedling
## 1854    587    921 skeleton
## 1855    571    929 skeleton
## 1856    542    917 skeleton
## 1857    542    933 regrowth
## 1858    518    943 skeleton
## 1859    552    931 skeleton
## 1860    531    949 skeleton
## 1861    568    953 skeleton
## 1862    567    982 skeleton
## 1863    505    986 skeleton
## 1864    554    943 seedling
## 1865    561    952 skeleton
## 1866    572    907 seedling
## 1867    539    939 seedling
## 1868    656    934 skeleton
## 1869    662    932 skeleton
## 1870    695    917 skeleton
## 1871    604    964 skeleton
## 1872    603    998 skeleton
## 1873    633    986 skeleton
## 1874    636    986 skeleton
## 1875    642    983 skeleton
## 1876    689    952 skeleton
## 1877    688    941 skeleton
## 1878    695    965 skeleton
## 1879    688    936 skeleton
## 1880    633    976 skeleton
## 1881    736    943 skeleton
## 1882    742    929 skeleton
## 1883    766    927 skeleton
## 1884    760    923 skeleton
## 1885    796    931 skeleton
## 1886    716    936 skeleton
## 1887    731    937 skeleton
## 1888    757    971 skeleton
## 1889    796    998 skeleton
## 1890    702    936 seedling
## 1891    709    956 skeleton
## 1892    802    953 skeleton
## 1893    854    926 seedling
## 1894    813    962 skeleton
## 1895    811    971 skeleton
## 1896    919    924 seedling
## 1897   1152    907 seedling
## 1898   1157    908  rosette
## 1899   1144    924 seedling
## 1900   1151    923 seedling
## 1901   1161    928  rosette
## 1902   1176    935 seedling
## 1903   1178    937 seedling
## 1904   1169    935 seedling
## 1905   1126    937 seedling
## 1906   1126    943 seedling
## 1907   1137    963 seedling
## 1908   1138    964 seedling
## 1909   1140    964 seedling
## 1910   1258    935 seedling
## 1911   1384    906 skeleton
## 1912   1397    910 skeleton
## 1913   1397    911 skeleton
## 1914   1383    954 skeleton
## 1915   1372    994 skeleton
## 1916   1310    926 seedling
## 1917   1309    928 seedling
## 1918   1326    989 seedling
## 1919   1328    990 seedling
## 1920   1321    981 seedling
## 1921   1318    978 seedling
## 1922   1492    919 skeleton
## 1923   1471    932 skeleton
## 1924   1409    909 skeleton
## 1925   1400    914 skeleton
## 1926   1461    936 skeleton
## 1927   1465    962 skeleton
## 1928   1421    964 skeleton
## 1929   1444    959 skeleton
## 1930   1441    990 skeleton
## 1931   1446    965 skeleton
## 1932   1472    961 skeleton
## 1933   1479    926 skeleton
## 1934   1424    908 seedling
## 1935   1504    911 skeleton
## 1936   1507    912 skeleton
## 1937   1504    938 skeleton
## 1938   1543    945 skeleton
## 1939   1596    956 skeleton
## 1940   1561    999 skeleton
## 1941   1517    946 skeleton
## 1942   1578    937 skeleton
## 1943   1557    905 seedling
## 1944   1558    906 seedling
## 1945   1559    905 seedling
## 1946   1561    905 seedling
## 1947   1560    910 seedling
## 1948   1561    911 seedling
## 1949   1606    913 skeleton
## 1950   1602    964 skeleton
## 1951   1611    926 skeleton
## 1952   1695    992 seedling
## 1953   1696    993 seedling
## 1954   1767    941 skeleton
## 1955   1768    937 skeleton
## 1956   1768    949 skeleton
## 1957   1791    900 seedling
## 1958   1745    902 seedling
## 1959   1749    903 seedling
## 1960   1776    921 seedling
## 1961   1746    945 seedling
## 1962   1747    964 seedling
## 1963   1716    965 seedling
## 1964   1716    999 seedling
## 1965   1729    997 seedling
## 1966   1820    949 seedling
## 1967   1949    909 seedling
## 1968   1947    910 seedling
## 1969   1952    967 seedling
## 1970   2008    954 skeleton
## 1971   2011    904 skeleton
## 1972   2051    912  rosette
## 1973   2024    958 seedling
## 1974   2069    929 skeleton
## 1975   2178    907 skeleton
## 1976   2182    943 skeleton
## 1977   2197    960 skeleton
## 1978   2199    965 skeleton
## 1979   2179    964 skeleton
## 1980   2171    961 skeleton
## 1981   2175    908 skeleton
## 1982   2176    974 skeleton
## 1983   2164    918 skeleton
## 1984   2186    916  rosette
## 1985   2247    909 skeleton
## 1986   2277    976 regrowth
## 1987   2269    973 skeleton
## 1988   2205    937 skeleton
## 1989   2206    938 skeleton
## 1990   2218    984 skeleton
## 1991   2269    900 regrowth
## 1992   2238    927 seedling
## 1993   2329    906 skeleton
## 1994   2366    924 skeleton
## 1995   2391    924 skeleton
## 1996   2383    926 skeleton
## 1997   2328    915 skeleton
## 1998   2352    941 skeleton
## 1999   2354    941 skeleton
## 2000   2371    925 skeleton
## 2001   2356    958 skeleton
## 2002   2351    990 skeleton
## 2003   2370    923 skeleton
## 2004   2482    902 skeleton
## 2005   2461    921 skeleton
## 2006   2412    941 skeleton
## 2007   2449    985 skeleton
## 2008   2496    936 regrowth
## 2009   2468    965  rosette
## 2010   2434    970  rosette
## 2011   2454    968 seedling
## 2012   2511    905 skeleton
## 2013   2561    907 skeleton
## 2014   2599    917 skeleton
## 2015   2561    908 skeleton
## 2016   2555    907 skeleton
## 2017   2598    963 regrowth
## 2018   2577    969 skeleton
## 2019   2548    932 skeleton
## 2020   2523    949 skeleton
## 2021   2567    988 skeleton
## 2022   2554    900 regrowth
## 2023   2676    917 skeleton
## 2024   2688    900 skeleton
## 2025   2618    908 skeleton
## 2026   2605    916 skeleton
## 2027   2652    912 skeleton
## 2028   2600    999 skeleton
## 2029   2616    913 skeleton
## 2030   2665    909 skeleton
## 2031   2716    909 skeleton
## 2032   2734    900 skeleton
## 2033   2797    903 skeleton
## 2034   2762    925 skeleton
## 2035   2712    928 skeleton
## 2036   2733    969 skeleton
## 2037   2718    914 skeleton
## 2038   2784    977 skeleton
## 2039   2874    929 skeleton
## 2040   2882    956 skeleton
## 2041   2879    978 skeleton
## 2042   2843    956 seedling
## 2043   2842    956 seedling
## 2044   2842    957 seedling
## 2045   2847    952 seedling
## 2046   2821    956 seedling
## 2047   2846    954 seedling
## 2048   2959    901 seedling
## 2049   2965    909 seedling
## 2050     14   1053 skeleton
## 2051     24   1051 skeleton
## 2052    148   1068 seedling
## 2053    143   1073 seedling
## 2054    131   1074 seedling
## 2055    294   1043 regrowth
## 2056    359   1046 skeleton
## 2057    387   1068 skeleton
## 2058    399   1085 skeleton
## 2059    396   1078 seedling
## 2060    391   1081 seedling
## 2061    311   1083 seedling
## 2062    321   1084 seedling
## 2063    412   1021 skeleton
## 2064    408   1028 skeleton
## 2065    401   1048 skeleton
## 2066    441   1039 skeleton
## 2067    459   1031 skeleton
## 2068    599   1003 skeleton
## 2069    568   1011 skeleton
## 2070    568   1022 skeleton
## 2071    572   1007 skeleton
## 2072    558   1024 skeleton
## 2073    527   1034 skeleton
## 2074    577   1014 skeleton
## 2075    524   1097 seedling
## 2076    525   1099 seedling
## 2077    527   1091 seedling
## 2078    688   1029 skeleton
## 2079    619   1034 skeleton
## 2080    615   1014 skeleton
## 2081    622   1085 skeleton
## 2082    649   1031 skeleton
## 2083    692   1062 skeleton
## 2084    699   1064 skeleton
## 2085    677   1076 skeleton
## 2086    690   1092 seedling
## 2087    760   1004 skeleton
## 2088    727   1043 seedling
## 2089    759   1003 seedling
## 2090    754   1007 skeleton
## 2091    721   1016 skeleton
## 2092    764   1021 skeleton
## 2093    748   1061 skeleton
## 2094    730   1079 skeleton
## 2095    736   1081 skeleton
## 2096    714   1082 skeleton
## 2097    750   1001 seedling
## 2098    721   1076 seedling
## 2099    716   1061 seedling
## 2100   1066   1051 seedling
## 2101   1032   1052 seedling
## 2102   1036   1066  rosette
## 2103   1138   1064 seedling
## 2104   1159   1014 seedling
## 2105   1262   1074 seedling
## 2106   1256   1077 seedling
## 2107   1271   1078 seedling
## 2108   1319   1003 skeleton
## 2109   1311   1006 skeleton
## 2110   1349   1011 skeleton
## 2111   1312   1047 skeleton
## 2112   1302   1032 skeleton
## 2113   1381   1079 skeleton
## 2114   1375   1080 skeleton
## 2115   1405   1087 skeleton
## 2116   1411   1079 skeleton
## 2117   1410   1077 skeleton
## 2118   1433   1087 skeleton
## 2119   1441   1088 skeleton
## 2120   1443   1086 skeleton
## 2121   1561   1049 skeleton
## 2122   1505   1099 skeleton
## 2123   1528   1072 skeleton
## 2124   1535   1096 skeleton
## 2125   1527   1052 seedling
## 2126   1528   1054 seedling
## 2127   1523   1057 seedling
## 2128   1524   1059 seedling
## 2129   1544   1063 seedling
## 2130   1548   1063 seedling
## 2131   1550   1064 seedling
## 2132   1548   1067 seedling
## 2133   1547   1071 seedling
## 2134   1549   1072 seedling
## 2135   1548   1078 seedling
## 2136   1547   1081 seedling
## 2137   1515   1086 seedling
## 2138   1521   1058 seedling
## 2139   1697   1087 skeleton
## 2140   1603   1099 skeleton
## 2141   1690   1078 skeleton
## 2142   1631   1031 skeleton
## 2143   1648   1088 skeleton
## 2144   1766   1051 skeleton
## 2145   1763   1061 skeleton
## 2146   1748   1085 skeleton
## 2147   1759   1046 seedling
## 2148   1761   1048 seedling
## 2149   1755   1054 seedling
## 2150   1758   1054 seedling
## 2151   1737   1059 seedling
## 2152   1738   1059 seedling
## 2153   1744   1063 seedling
## 2154   1741   1063 seedling
## 2155   1741   1064 seedling
## 2156   1747   1066 seedling
## 2157   1748   1066 seedling
## 2158   1737   1066 seedling
## 2159   1736   1067 seedling
## 2160   1739   1069 seedling
## 2161   1742   1070 seedling
## 2162   1758   1072 seedling
## 2163   1774   1077 seedling
## 2164   1748   1076 seedling
## 2165   1733   1076 seedling
## 2166   1738   1076 seedling
## 2167   1791   1080 seedling
## 2168   1789   1084 seedling
## 2169   1724   1093 seedling
## 2170   1721   1097 seedling
## 2171   1889   1064 skeleton
## 2172   1822   1041 seedling
## 2173   1884   1099 skeleton
## 2174   1881   1089 seedling
## 2175   1915   1041 skeleton
## 2176   1951   1048 skeleton
## 2177   1951   1051 skeleton
## 2178   1946   1061 skeleton
## 2179   1946   1063 skeleton
## 2180   1971   1054 skeleton
## 2181   1921   1091 skeleton
## 2182   1925   1094 skeleton
## 2183   1916   1099 skeleton
## 2184   1932   1060 skeleton
## 2185   2071   1047 skeleton
## 2186   2036   1084 skeleton
## 2187   2191   1063 skeleton
## 2188   2164   1084 seedling
## 2189   2161   1087 seedling
## 2190   2139   1090 seedling
## 2191   2131   1059 skeleton
## 2192   2284   1047 skeleton
## 2193   2268   1005 skeleton
## 2194   2246   1074 skeleton
## 2195   2246   1076 skeleton
## 2196   2269   1079 skeleton
## 2197   2245   1098 skeleton
## 2198   2281   1099 skeleton
## 2199   2275   1099 skeleton
## 2200   2295   1062 skeleton
## 2201   2368   1015 skeleton
## 2202   2372   1014 skeleton
## 2203   2366   1054 skeleton
## 2204   2367   1057 regrowth
## 2205   2398   1090 skeleton
## 2206   2399   1087 skeleton
## 2207   2366   1096 seedling
## 2208   2368   1095 seedling
## 2209   2331   1083 seedling
## 2210   2323   1079 seedling
## 2211   2394   1058 seedling
## 2212   2393   1055 seedling
## 2213   2408   1081 skeleton
## 2214   2433   1072 skeleton
## 2215   2435   1072 skeleton
## 2216   2436   1087 skeleton
## 2217   2466   1058 skeleton
## 2218   2449   1099 skeleton
## 2219   2488   1049 skeleton
## 2220   2541   1014 regrowth
## 2221   2576   1024 skeleton
## 2222   2622   1014 skeleton
## 2223   2649   1034 skeleton
## 2224   2676   1048 skeleton
## 2225   2699   1081 skeleton
## 2226   2693   1078 skeleton
## 2227   2679   1076 skeleton
## 2228   2651   1098 skeleton
## 2229   2636   1071 skeleton
## 2230   2699   1090 skeleton
## 2231   2648   1062 skeleton
## 2232   2632   1077 skeleton
## 2233   2646   1073 skeleton
## 2234   2622   1043 skeleton
## 2235   2621   1045 skeleton
## 2236   2611   1056 seedling
## 2237   2616   1056 seedling
## 2238   2691   1039  rosette
## 2239   2799   1013  rosette
## 2240   2747   1006 skeleton
## 2241   2766   1091 skeleton
## 2242   2771   1092 skeleton
## 2243   2734   1099 skeleton
## 2244   2732   1098 skeleton
## 2245   2762   1092 skeleton
## 2246   2758   1073 skeleton
## 2247   2816   1038 skeleton
## 2248   2828   1066 skeleton
## 2249   2842   1082 skeleton
## 2250   2882   1073 seedling
## 2251   2858   1077 seedling
## 2252   2856   1076 seedling
## 2253   2857   1086 seedling
## 2254   2887   1070 seedling
## 2255   2886   1068 seedling
## 2256   2887   1067 seedling
## 2257   2864   1069 seedling
## 2258   2859   1064 seedling
## 2259   2837   1065 seedling
## 2260   2894   1063 seedling
## 2261   2843   1058 seedling
## 2262   2896   1062 seedling
## 2263   2847   1056 seedling
## 2264   2851   1052 seedling
## 2265   2843   1054 seedling
## 2266   2839   1019 seedling
## 2267   2987   1099 seedling
## 2268   2959   1087 seedling
## 2269   2916   1079 seedling
## 2270   2911   1061 seedling
## 2271   2966   1011 seedling
## 2272      8   1172 seedling
## 2273    164   1142 skeleton
## 2274    191   1158 skeleton
## 2275    108   1126 seedling
## 2276    126   1193 seedling
## 2277    180   1199 seedling
## 2278    125   1199 seedling
## 2279    173   1199 seedling
## 2280    207   1136 skeleton
## 2281    214   1141 skeleton
## 2282    234   1181 skeleton
## 2283    386   1134 skeleton
## 2284    392   1132 skeleton
## 2285    353   1186 skeleton
## 2286    374   1182 skeleton
## 2287    373   1185 skeleton
## 2288    371   1191 skeleton
## 2289    328   1107 seedling
## 2290    334   1108 seedling
## 2291    326   1113 seedling
## 2292    321   1114 seedling
## 2293    313   1115 seedling
## 2294    350   1129 seedling
## 2295    436   1141 skeleton
## 2296    448   1151 skeleton
## 2297    419   1169 skeleton
## 2298    416   1178 skeleton
## 2299    484   1102 seedling
## 2300    554   1141 skeleton
## 2301    555   1146 skeleton
## 2302    546   1147 skeleton
## 2303    542   1160 skeleton
## 2304    523   1125 seedling
## 2305    521   1126 seedling
## 2306    567   1132 seedling
## 2307    565   1133 seedling
## 2308    563   1134 seedling
## 2309    578   1163 seedling
## 2310    676   1103 skeleton
## 2311    670   1107 skeleton
## 2312    678   1116 skeleton
## 2313    633   1127 skeleton
## 2314    612   1142 seedling
## 2315    632   1105 seedling
## 2316    648   1177 skeleton
## 2317    654   1171 seedling
## 2318    795   1142 skeleton
## 2319    759   1177 skeleton
## 2320    763   1132 seedling
## 2321    757   1171 skeleton
## 2322    761   1164 seedling
## 2323    757   1164 seedling
## 2324    754   1165 seedling
## 2325    702   1152 skeleton
## 2326    845   1121 seedling
## 2327    837   1131 seedling
## 2328    835   1132 seedling
## 2329    830   1133 seedling
## 2330    822   1133 seedling
## 2331    851   1120 seedling
## 2332    856   1137 seedling
## 2333    835   1162 seedling
## 2334    998   1192 seedling
## 2335   1057   1121 seedling
## 2336   1182   1168 skeleton
## 2337   1147   1184 skeleton
## 2338   1162   1143 skeleton
## 2339   1184   1199 skeleton
## 2340   1187   1117 skeleton
## 2341   1187   1130 skeleton
## 2342   1492   1187 regrowth
## 2343   1473   1173 skeleton
## 2344   1473   1181 skeleton
## 2345   1496   1189 skeleton
## 2346   1466   1181 skeleton
## 2347   1490   1182 skeleton
## 2348   1452   1187 skeleton
## 2349   1436   1192 skeleton
## 2350   1481   1191 skeleton
## 2351   1424   1196 skeleton
## 2352   1436   1199 skeleton
## 2353   1499   1199 skeleton
## 2354   1422   1109 skeleton
## 2355   1441   1128 seedling
## 2356   1422   1196 skeleton
## 2357   1483   1191 seedling
## 2358   1599   1141 skeleton
## 2359   1512   1103 skeleton
## 2360   1552   1113 skeleton
## 2361   1532   1147 skeleton
## 2362   1525   1182 skeleton
## 2363   1516   1184 skeleton
## 2364   1510   1194 skeleton
## 2365   1597   1188 skeleton
## 2366   1524   1195 seedling
## 2367   1501   1162 seedling
## 2368   1543   1108 skeleton
## 2369   1696   1126 skeleton
## 2370   1680   1129 skeleton
## 2371   1624   1111 skeleton
## 2372   1619   1128 skeleton
## 2373   1608   1153 skeleton
## 2374   1602   1189 skeleton
## 2375   1612   1198 skeleton
## 2376   1675   1141 skeleton
## 2377   1658   1158 skeleton
## 2378   1653   1166 skeleton
## 2379   1672   1179 skeleton
## 2380   1666   1177 skeleton
## 2381   1680   1186 skeleton
## 2382   1687   1183 skeleton
## 2383   1651   1182 skeleton
## 2384   1687   1123 seedling
## 2385   1678   1109 seedling
## 2386   1607   1122 seedling
## 2387   1677   1144 seedling
## 2388   1699   1191 seedling
## 2389   1677   1134 seedling
## 2390   1799   1111 skeleton
## 2391   1757   1112 skeleton
## 2392   1779   1135 skeleton
## 2393   1711   1132 skeleton
## 2394   1762   1137 skeleton
## 2395   1714   1136 skeleton
## 2396   1772   1157 skeleton
## 2397   1770   1151 skeleton
## 2398   1786   1184 skeleton
## 2399   1789   1184 skeleton
## 2400   1731   1190 skeleton
## 2401   1739   1195 skeleton
## 2402   1734   1105 seedling
## 2403   1738   1107 seedling
## 2404   1739   1108 seedling
## 2405   1718   1115 seedling
## 2406   1742   1145 seedling
## 2407   1717   1151 seedling
## 2408   1716   1161 seedling
## 2409   1899   1166 regrowth
## 2410   1879   1148 skeleton
## 2411   1868   1156 skeleton
## 2412   1833   1177 skeleton
## 2413   1845   1175 skeleton
## 2414   1883   1160 skeleton
## 2415   1866   1186 skeleton
## 2416   1834   1190 regrowth
## 2417   1868   1198 skeleton
## 2418   1848   1199 skeleton
## 2419   1891   1197 skeleton
## 2420   1873   1171 skeleton
## 2421   1848   1103 seedling
## 2422   1891   1154  rosette
## 2423   1879   1166 seedling
## 2424   1992   1159 skeleton
## 2425   1906   1143 skeleton
## 2426   1918   1191 skeleton
## 2427   1943   1166 skeleton
## 2428   1948   1176 skeleton
## 2429   1986   1183 skeleton
## 2430   1976   1185 skeleton
## 2431   1997   1189 skeleton
## 2432   1999   1157 skeleton
## 2433   1979   1104 seedling
## 2434   1977   1109 seedling
## 2435   1981   1112 seedling
## 2436   1984   1113 seedling
## 2437   1977   1113 seedling
## 2438   1979   1120 seedling
## 2439   1987   1122 seedling
## 2440   1994   1157 skeleton
## 2441   1950   1169 skeleton
## 2442   2077   1134 skeleton
## 2443   2032   1199 skeleton
## 2444   2009   1116 skeleton
## 2445   2002   1147 skeleton
## 2446   2050   1111 seedling
## 2447   2011   1129 seedling
## 2448   2012   1122 seedling
## 2449   2039   1188 seedling
## 2450   2100   1136 skeleton
## 2451   2102   1141 skeleton
## 2452   2159   1131 skeleton
## 2453   2176   1131 skeleton
## 2454   2161   1134 seedling
## 2455   2263   1108 skeleton
## 2456   2268   1113 skeleton
## 2457   2271   1133 skeleton
## 2458   2278   1136 skeleton
## 2459   2234   1157 skeleton
## 2460   2235   1158 skeleton
## 2461   2294   1185 skeleton
## 2462   2295   1188 skeleton
## 2463   2299   1189 skeleton
## 2464   2264   1179 skeleton
## 2465   2373   1115 skeleton
## 2466   2385   1119 skeleton
## 2467   2304   1166 skeleton
## 2468   2309   1165 skeleton
## 2469   2307   1175 skeleton
## 2470   2308   1179 skeleton
## 2471   2371   1137 skeleton
## 2472   2373   1140 skeleton
## 2473   2372   1144 skeleton
## 2474   2355   1140 skeleton
## 2475   2374   1157 skeleton
## 2476   2372   1160 skeleton
## 2477   2370   1162 skeleton
## 2478   2368   1168 skeleton
## 2479   2351   1195 skeleton
## 2480   2349   1195 skeleton
## 2481   2369   1159 skeleton
## 2482   2352   1174 skeleton
## 2483   2395   1198 regrowth
## 2484   2431   1127 skeleton
## 2485   2432   1128 skeleton
## 2486   2439   1178 skeleton
## 2487   2463   1177 skeleton
## 2488   2436   1176 skeleton
## 2489   2419   1166 skeleton
## 2490   2484   1129 seedling
## 2491   2472   1151 seedling
## 2492   2424   1185 seedling
## 2493   2596   1169 skeleton
## 2494   2522   1178 skeleton
## 2495   2566   1164 skeleton
## 2496   2539   1178 skeleton
## 2497   2589   1199 skeleton
## 2498   2693   1150 skeleton
## 2499   2663   1127 skeleton
## 2500   2644   1111 skeleton
## 2501   2641   1119 skeleton
## 2502   2689   1164 skeleton
## 2503   2600   1199 skeleton
## 2504   2746   1109 skeleton
## 2505   2718   1125 skeleton
## 2506   2701   1187 skeleton
## 2507   2776   1158 skeleton
## 2508   2731   1144 skeleton
## 2509   2764   1162 skeleton
## 2510   2733   1182 skeleton
## 2511   2755   1199 skeleton
## 2512   2738   1181 skeleton
## 2513   2732   1198 skeleton
## 2514   2735   1183 skeleton
## 2515   2723   1109 skeleton
## 2516   2834   1107 skeleton
## 2517   2848   1109 skeleton
## 2518   2892   1178 skeleton
## 2519   2855   1122 skeleton
## 2520   2825   1169 skeleton
## 2521   2916   1194 skeleton
## 2522   2999   1155 regrowth
## 2523     11   1282 skeleton
## 2524     21   1267 skeleton
## 2525     16   1264 skeleton
## 2526     31   1272 skeleton
## 2527    166   1211 skeleton
## 2528    263   1237 skeleton
## 2529    333   1231 skeleton
## 2530    347   1222 skeleton
## 2531    344   1228 skeleton
## 2532    452   1288 seedling
## 2533    458   1281 seedling
## 2534    457   1279 seedling
## 2535    450   1280 seedling
## 2536    473   1277 seedling
## 2537    447   1255 seedling
## 2538    449   1251 seedling
## 2539    547   1278 seedling
## 2540    507   1262 seedling
## 2541    558   1263 seedling
## 2542    692   1218 skeleton
## 2543    686   1220 skeleton
## 2544    629   1221 skeleton
## 2545    629   1219 skeleton
## 2546    746   1257 skeleton
## 2547    777   1299 seedling
## 2548    773   1298 seedling
## 2549    868   1299 seedling
## 2550    837   1259 seedling
## 2551    890   1255 seedling
## 2552    976   1249 seedling
## 2553   1082   1231 skeleton
## 2554   1074   1278 skeleton
## 2555   1083   1271 skeleton
## 2556   1006   1294 seedling
## 2557   1008   1286 seedling
## 2558   1035   1280 seedling
## 2559   1008   1269 seedling
## 2560   1013   1267 seedling
## 2561   1003   1245 seedling
## 2562   1005   1242 seedling
## 2563   1007   1243 seedling
## 2564   1051   1241 seedling
## 2565   1017   1236 seedling
## 2566   1031   1202 seedling
## 2567   1172   1213 skeleton
## 2568   1144   1264 skeleton
## 2569   1178   1237 skeleton
## 2570   1166   1220 skeleton
## 2571   1134   1213 seedling
## 2572   1246   1248 skeleton
## 2573   1203   1257 skeleton
## 2574   1209   1276 skeleton
## 2575   1278   1282 skeleton
## 2576   1280   1284 skeleton
## 2577   1258   1242 skeleton
## 2578   1261   1212 seedling
## 2579   1266   1222 seedling
## 2580   1244   1229 seedling
## 2581   1271   1266 seedling
## 2582   1254   1278 seedling
## 2583   1262   1289 seedling
## 2584   1349   1222 skeleton
## 2585   1352   1220 skeleton
## 2586   1341   1246 skeleton
## 2587   1361   1287 skeleton
## 2588   1376   1249 skeleton
## 2589   1310   1279 skeleton
## 2590   1312   1285 skeleton
## 2591   1314   1285 skeleton
## 2592   1332   1287 skeleton
## 2593   1338   1295 skeleton
## 2594   1396   1287 skeleton
## 2595   1336   1289 skeleton
## 2596   1304   1274 skeleton
## 2597   1311   1222 seedling
## 2598   1310   1219 seedling
## 2599   1340   1216 seedling
## 2600   1307   1238 seedling
## 2601   1326   1241 seedling
## 2602   1317   1245 seedling
## 2603   1332   1257 seedling
## 2604   1302   1280 seedling
## 2605   1329   1299 seedling
## 2606   1303   1291 seedling
## 2607   1326   1278 seedling
## 2608   1366   1298 seedling
## 2609   1365   1295 seedling
## 2610   1471   1248 skeleton
## 2611   1491   1249 skeleton
## 2612   1464   1224 skeleton
## 2613   1456   1223 skeleton
## 2614   1462   1227 skeleton
## 2615   1481   1238 skeleton
## 2616   1476   1253 skeleton
## 2617   1402   1297 skeleton
## 2618   1474   1289 skeleton
## 2619   1456   1255 skeleton
## 2620   1452   1255 skeleton
## 2621   1482   1243 skeleton
## 2622   1457   1222 seedling
## 2623   1468   1222 seedling
## 2624   1454   1274 seedling
## 2625   1450   1274 seedling
## 2626   1405   1299 seedling
## 2627   1597   1289 skeleton
## 2628   1508   1205 skeleton
## 2629   1506   1206 skeleton
## 2630   1548   1212 skeleton
## 2631   1563   1224 skeleton
## 2632   1589   1230 skeleton
## 2633   1588   1234 skeleton
## 2634   1566   1234 skeleton
## 2635   1581   1242 skeleton
## 2636   1540   1246 skeleton
## 2637   1508   1251 skeleton
## 2638   1513   1263 skeleton
## 2639   1514   1234 skeleton
## 2640   1516   1276 skeleton
## 2641   1538   1274 skeleton
## 2642   1530   1297 skeleton
## 2643   1537   1293 seedling
## 2644   1536   1292 seedling
## 2645   1535   1291 seedling
## 2646   1534   1291 seedling
## 2647   1533   1288 seedling
## 2648   1536   1281 seedling
## 2649   1562   1283 seedling
## 2650   1563   1284 seedling
## 2651   1628   1206 skeleton
## 2652   1626   1202 skeleton
## 2653   1642   1226 skeleton
## 2654   1617   1273 skeleton
## 2655   1659   1286 skeleton
## 2656   1642   1297 skeleton
## 2657   1652   1299 skeleton
## 2658   1688   1274 skeleton
## 2659   1616   1277 skeleton
## 2660   1638   1238 skeleton
## 2661   1775   1272 skeleton
## 2662   1782   1274 skeleton
## 2663   1763   1276 skeleton
## 2664   1769   1272 skeleton
## 2665   1780   1277 skeleton
## 2666   1732   1215 skeleton
## 2667   1707   1216 skeleton
## 2668   1731   1239 skeleton
## 2669   1737   1245 skeleton
## 2670   1722   1248 skeleton
## 2671   1730   1271 skeleton
## 2672   1730   1274 skeleton
## 2673   1752   1214 skeleton
## 2674   1721   1222 seedling
## 2675   1732   1224 seedling
## 2676   1832   1248 skeleton
## 2677   1810   1207 skeleton
## 2678   1852   1236 regrowth
## 2679   1841   1223 regrowth
## 2680   1845   1229 skeleton
## 2681   1877   1251 skeleton
## 2682   1822   1263 skeleton
## 2683   1888   1226 skeleton
## 2684   1858   1272 skeleton
## 2685   1856   1284 skeleton
## 2686   1883   1256 skeleton
## 2687   1873   1259 skeleton
## 2688   1889   1267 skeleton
## 2689   1848   1297 skeleton
## 2690   1904   1222 skeleton
## 2691   1918   1207 skeleton
## 2692   1908   1206 skeleton
## 2693   1959   1224 skeleton
## 2694   1939   1213 skeleton
## 2695   1946   1244 skeleton
## 2696   1972   1252 regrowth
## 2697   1985   1284 skeleton
## 2698   1983   1291 skeleton
## 2699   1906   1293 skeleton
## 2700   1972   1251 skeleton
## 2701   1977   1253 skeleton
## 2702   1967   1299 seedling
## 2703   1969   1299 seedling
## 2704   1962   1298 seedling
## 2705   1915   1298 seedling
## 2706   1960   1298 seedling
## 2707   1961   1297 seedling
## 2708   1917   1298 seedling
## 2709   1963   1295 seedling
## 2710   1991   1295 seedling
## 2711   1951   1289 seedling
## 2712   1958   1289 seedling
## 2713   1967   1287 seedling
## 2714   1913   1284 seedling
## 2715   1914   1276 seedling
## 2716   1916   1274 seedling
## 2717   1920   1270 seedling
## 2718   1912   1206 skeleton
## 2719   2098   1212 skeleton
## 2720   2098   1213 skeleton
## 2721   2093   1213 skeleton
## 2722   2072   1246 skeleton
## 2723   2087   1276 skeleton
## 2724   2048   1295 seedling
## 2725   2038   1294 seedling
## 2726   2089   1289 seedling
## 2727   2058   1286 seedling
## 2728   2061   1280 seedling
## 2729   2057   1280 seedling
## 2730   2069   1281 seedling
## 2731   2050   1277 seedling
## 2732   2051   1276 seedling
## 2733   2052   1275 seedling
## 2734   2059   1275 seedling
## 2735   2072   1276 seedling
## 2736   2081   1275 seedling
## 2737   2049   1273 seedling
## 2738   2052   1272 seedling
## 2739   2091   1271 seedling
## 2740   2079   1270 seedling
## 2741   2055   1267 seedling
## 2742   2056   1266 seedling
## 2743   2081   1266 seedling
## 2744   2076   1264 seedling
## 2745   2050   1264 seedling
## 2746   2062   1249 seedling
## 2747   2044   1241 seedling
## 2748   2126   1267 skeleton
## 2749   2126   1259 skeleton
## 2750   2188   1259 skeleton
## 2751   2188   1260 skeleton
## 2752   2174   1231 skeleton
## 2753   2190   1261 skeleton
## 2754   2100   1283 skeleton
## 2755   2132   1254 skeleton
## 2756   2146   1298 skeleton
## 2757   2135   1299 skeleton
## 2758   2156   1299 skeleton
## 2759   2118   1292 skeleton
## 2760   2137   1293 skeleton
## 2761   2195   1286 skeleton
## 2762   2185   1281 seedling
## 2763   2188   1279 seedling
## 2764   2185   1277 seedling
## 2765   2189   1276 seedling
## 2766   2199   1278 seedling
## 2767   2189   1271 seedling
## 2768   2124   1257 seedling
## 2769   2146   1252  rosette
## 2770   2183   1252 seedling
## 2771   2197   1223 seedling
## 2772   2232   1200 skeleton
## 2773   2234   1204 skeleton
## 2774   2256   1243 skeleton
## 2775   2257   1249 skeleton
## 2776   2223   1271 skeleton
## 2777   2243   1285 skeleton
## 2778   2288   1287 skeleton
## 2779   2242   1287 skeleton
## 2780   2241   1286 skeleton
## 2781   2230   1287 skeleton
## 2782   2210   1274 skeleton
## 2783   2202   1212 seedling
## 2784   2219   1221 seedling
## 2785   2218   1223 seedling
## 2786   2216   1291 seedling
## 2787   2214   1290 seedling
## 2788   2384   1215 skeleton
## 2789   2386   1219 skeleton
## 2790   2390   1217 skeleton
## 2791   2304   1272 skeleton
## 2792   2308   1275 skeleton
## 2793   2310   1274 skeleton
## 2794   2373   1261 skeleton
## 2795   2349   1236 skeleton
## 2796   2456   1246 skeleton
## 2797   2446   1221 skeleton
## 2798   2431   1208 skeleton
## 2799   2418   1284 skeleton
## 2800   2430   1204 skeleton
## 2801   2432   1267 skeleton
## 2802   2554   1223 skeleton
## 2803   2546   1246 skeleton
## 2804   2560   1221 skeleton
## 2805   2588   1278 skeleton
## 2806   2546   1294 skeleton
## 2807   2546   1285 skeleton
## 2808   2699   1279 skeleton
## 2809   2689   1276 regrowth
## 2810   2680   1271 skeleton
## 2811   2650   1277 skeleton
## 2812   2681   1203 skeleton
## 2813   2685   1271 seedling
## 2814   2603   1241 seedling
## 2815   2799   1237 skeleton
## 2816   2774   1241 skeleton
## 2817   2762   1224 skeleton
## 2818   2738   1217 skeleton
## 2819   2703   1240 skeleton
## 2820   2702   1273 skeleton
## 2821   2786   1243 skeleton
## 2822   2798   1266 seedling
## 2823   2728   1261 skeleton
## 2824   2817   1229 skeleton
## 2825   2819   1212  rosette
## 2826   2889   1207 seedling
## 2827   2821   1223 seedling
## 2828   2882   1283 skeleton
## 2829   2993   1216 seedling
## 2830    139   1350 skeleton
## 2831    113   1366 skeleton
## 2832    100   1376 skeleton
## 2833    126   1376 skeleton
## 2834    153   1351 skeleton
## 2835    160   1334 skeleton
## 2836    171   1384 skeleton
## 2837    109   1376 skeleton
## 2838    167   1359 seedling
## 2839    143   1354 skeleton
## 2840    202   1393 skeleton
## 2841    286   1363 seedling
## 2842    389   1354 regrowth
## 2843    405   1317 seedling
## 2844    476   1319 seedling
## 2845    493   1327 seedling
## 2846    418   1338 seedling
## 2847    494   1346 seedling
## 2848    492   1347 seedling
## 2849    403   1369 seedling
## 2850    511   1337 seedling
## 2851    526   1354 seedling
## 2852    528   1356 seedling
## 2853    718   1307 seedling
## 2854    715   1339 seedling
## 2855    714   1340 seedling
## 2856    713   1341 seedling
## 2857    889   1359 skeleton
## 2858    841   1398 regrowth
## 2859    890   1364 skeleton
## 2860    896   1383 skeleton
## 2861    831   1313 seedling
## 2862    883   1320 seedling
## 2863    887   1326 seedling
## 2864    827   1333 seedling
## 2865    832   1333 seedling
## 2866    838   1334 seedling
## 2867    855   1337 seedling
## 2868    853   1342 seedling
## 2869    850   1343 seedling
## 2870    855   1359 seedling
## 2871    851   1376 seedling
## 2872    843   1378 seedling
## 2873    839   1382 seedling
## 2874    842   1383 seedling
## 2875    839   1389 seedling
## 2876    948   1334 skeleton
## 2877    902   1379 skeleton
## 2878    973   1399  rosette
## 2879    925   1398 seedling
## 2880    905   1388 seedling
## 2881    912   1372 seedling
## 2882    910   1370 seedling
## 2883    958   1367 seedling
## 2884    966   1342 seedling
## 2885   1098   1395 skeleton
## 2886   1086   1384 skeleton
## 2887   1090   1379 skeleton
## 2888   1066   1388 skeleton
## 2889   1041   1343 seedling
## 2890   1050   1356 seedling
## 2891   1016   1369 skeleton
## 2892   1079   1383 seedling
## 2893   1063   1389 seedling
## 2894   1087   1391 seedling
## 2895   1085   1381 seedling
## 2896   1181   1327 skeleton
## 2897   1131   1306 skeleton
## 2898   1111   1331 skeleton
## 2899   1108   1323 skeleton
## 2900   1158   1322 skeleton
## 2901   1115   1333 skeleton
## 2902   1173   1361 skeleton
## 2903   1133   1349 skeleton
## 2904   1111   1355 skeleton
## 2905   1116   1369 skeleton
## 2906   1124   1371 skeleton
## 2907   1179   1391 skeleton
## 2908   1192   1379 skeleton
## 2909   1191   1377 seedling
## 2910   1181   1374 seedling
## 2911   1192   1378 seedling
## 2912   1185   1360 seedling
## 2913   1182   1357 seedling
## 2914   1140   1355 seedling
## 2915   1141   1355 seedling
## 2916   1186   1355 seedling
## 2917   1134   1353 seedling
## 2918   1131   1354 seedling
## 2919   1133   1349 seedling
## 2920   1112   1309 seedling
## 2921   1110   1307 seedling
## 2922   1228   1379 skeleton
## 2923   1234   1391 skeleton
## 2924   1290   1386 skeleton
## 2925   1226   1312  rosette
## 2926   1221   1344 seedling
## 2927   1271   1305 seedling
## 2928   1383   1314 skeleton
## 2929   1342   1317 skeleton
## 2930   1358   1316 skeleton
## 2931   1342   1315 skeleton
## 2932   1328   1342 skeleton
## 2933   1359   1336 skeleton
## 2934   1364   1353 regrowth
## 2935   1380   1341 skeleton
## 2936   1387   1343 skeleton
## 2937   1392   1329 skeleton
## 2938   1371   1370 skeleton
## 2939   1382   1378 skeleton
## 2940   1376   1354 skeleton
## 2941   1331   1399 skeleton
## 2942   1326   1391 skeleton
## 2943   1398   1367 skeleton
## 2944   1381   1310 seedling
## 2945   1382   1317 seedling
## 2946   1384   1319 seedling
## 2947   1328   1306 seedling
## 2948   1323   1321 seedling
## 2949   1379   1331 seedling
## 2950   1364   1353 seedling
## 2951   1315   1375 seedling
## 2952   1329   1389 seedling
## 2953   1431   1321 skeleton
## 2954   1466   1341 skeleton
## 2955   1431   1366 skeleton
## 2956   1449   1378 skeleton
## 2957   1452   1303 skeleton
## 2958   1436   1370 skeleton
## 2959   1413   1390 skeleton
## 2960   1441   1393 skeleton
## 2961   1484   1351 skeleton
## 2962   1485   1377 skeleton
## 2963   1484   1379 skeleton
## 2964   1479   1394 skeleton
## 2965   1469   1357 skeleton
## 2966   1411   1321 seedling
## 2967   1427   1326 seedling
## 2968   1442   1329  rosette
## 2969   1489   1331 seedling
## 2970   1414   1334 regrowth
## 2971   1509   1352 skeleton
## 2972   1595   1339 skeleton
## 2973   1593   1338 skeleton
## 2974   1591   1347 skeleton
## 2975   1592   1342 skeleton
## 2976   1592   1344 skeleton
## 2977   1561   1338 skeleton
## 2978   1571   1365 skeleton
## 2979   1575   1371 skeleton
## 2980   1590   1378 skeleton
## 2981   1580   1370 skeleton
## 2982   1523   1399 seedling
## 2983   1522   1398 seedling
## 2984   1534   1394 seedling
## 2985   1535   1394 seedling
## 2986   1525   1395 seedling
## 2987   1540   1390 seedling
## 2988   1536   1387 seedling
## 2989   1528   1386 seedling
## 2990   1525   1387 seedling
## 2991   1511   1369 skeleton
## 2992   1503   1362 skeleton
## 2993   1576   1354 seedling
## 2994   1577   1355 seedling
## 2995   1692   1341 skeleton
## 2996   1671   1331 skeleton
## 2997   1647   1311 skeleton
## 2998   1632   1333 skeleton
## 2999   1639   1352 skeleton
## 3000   1634   1351 skeleton
## 3001   1635   1352 skeleton
## 3002   1605   1365 skeleton
## 3003   1609   1351 skeleton
## 3004   1618   1378 skeleton
## 3005   1697   1320 seedling
## 3006   1699   1316 seedling
## 3007   1679   1309 seedling
## 3008   1718   1300 skeleton
## 3009   1781   1346 skeleton
## 3010   1716   1302 skeleton
## 3011   1788   1347 skeleton
## 3012   1790   1390 skeleton
## 3013   1799   1388 skeleton
## 3014   1789   1399 skeleton
## 3015   1780   1321 seedling
## 3016   1751   1398 seedling
## 3017   1838   1321 skeleton
## 3018   1800   1306 skeleton
## 3019   1810   1310 skeleton
## 3020   1821   1323 skeleton
## 3021   1828   1324 skeleton
## 3022   1830   1344 skeleton
## 3023   1801   1364 skeleton
## 3024   1810   1365 skeleton
## 3025   1802   1380 skeleton
## 3026   1815   1365 skeleton
## 3027   1814   1367 skeleton
## 3028   1856   1375 skeleton
## 3029   1886   1307 skeleton
## 3030   1893   1310 skeleton
## 3031   1892   1317 skeleton
## 3032   1872   1328 skeleton
## 3033   1873   1329 skeleton
## 3034   1873   1330 skeleton
## 3035   1874   1331 skeleton
## 3036   1850   1301 skeleton
## 3037   1854   1339  rosette
## 3038   1857   1348 seedling
## 3039   1823   1377 skeleton
## 3040   1978   1324 skeleton
## 3041   1962   1332 skeleton
## 3042   1900   1352 skeleton
## 3043   1910   1343 skeleton
## 3044   1931   1352 skeleton
## 3045   1956   1334 skeleton
## 3046   1972   1372 skeleton
## 3047   1980   1375 skeleton
## 3048   1982   1374 skeleton
## 3049   1965   1384 skeleton
## 3050   1955   1378 seedling
## 3051   1969   1377 seedling
## 3052   1973   1381 seedling
## 3053   1971   1380 seedling
## 3054   1960   1378 seedling
## 3055   1970   1370 seedling
## 3056   1958   1362 seedling
## 3057   1958   1363 seedling
## 3058   1951   1361 seedling
## 3059   1968   1304 seedling
## 3060   1959   1300 seedling
## 3061   1945   1307 seedling
## 3062   2098   1322 skeleton
## 3063   2070   1301 skeleton
## 3064   2060   1307 skeleton
## 3065   2059   1311 skeleton
## 3066   2062   1310 skeleton
## 3067   2055   1364 skeleton
## 3068   2097   1399 skeleton
## 3069   2081   1387 skeleton
## 3070   2004   1341  rosette
## 3071   2005   1348 seedling
## 3072   2005   1361 seedling
## 3073   2033   1399 seedling
## 3074   2036   1399 seedling
## 3075   2050   1399 seedling
## 3076   2098   1352 seedling
## 3077   2091   1373 seedling
## 3078   2197   1306 skeleton
## 3079   2138   1399 skeleton
## 3080   2100   1305 seedling
## 3081   2162   1304 seedling
## 3082   2172   1329 seedling
## 3083   2151   1331  rosette
## 3084   2183   1340 seedling
## 3085   2156   1345 seedling
## 3086   2154   1360 seedling
## 3087   2142   1361 seedling
## 3088   2158   1375 seedling
## 3089   2146   1381 seedling
## 3090   2165   1397 skeleton
## 3091   2162   1354 seedling
## 3092   2111   1375 seedling
## 3093   2202   1301 skeleton
## 3094   2245   1305 skeleton
## 3095   2243   1311 skeleton
## 3096   2259   1312 skeleton
## 3097   2279   1307 regrowth
## 3098   2254   1341 skeleton
## 3099   2234   1353 skeleton
## 3100   2261   1354 skeleton
## 3101   2257   1378 skeleton
## 3102   2284   1352 skeleton
## 3103   2255   1399 regrowth
## 3104   2250   1393 skeleton
## 3105   2208   1380 seedling
## 3106   2221   1377 seedling
## 3107   2314   1300 skeleton
## 3108   2331   1341 skeleton
## 3109   2331   1333 skeleton
## 3110   2321   1399 seedling
## 3111   2352   1347 seedling
## 3112   2438   1399 skeleton
## 3113   2562   1344 skeleton
## 3114   2574   1357 skeleton
## 3115   2578   1397 seedling
## 3116   2583   1302 seedling
## 3117   2657   1376 seedling
## 3118   2611   1378 seedling
## 3119   2655   1382 seedling
## 3120   2761   1306 skeleton
## 3121   2753   1311 skeleton
## 3122   2745   1313 skeleton
## 3123   2700   1364 skeleton
## 3124   2717   1388 seedling
## 3125   2746   1390 seedling
## 3126   2716   1391 seedling
## 3127   2715   1397 seedling
## 3128   2893   1301 seedling
## 3129   2902   1354 seedling
## 3130   2904   1357 seedling
## 3131   2905   1358 seedling
## 3132   2975   1394 seedling
## 3133   2931   1399 seedling
## 3134   2905   1386 seedling
## 3135      2   1462 regrowth
## 3136     11   1452 skeleton
## 3137     20   1458 skeleton
## 3138     16   1467 skeleton
## 3139     26   1454 skeleton
## 3140      0   1425 regrowth
## 3141     92   1420 skeleton
## 3142     98   1416 skeleton
## 3143    114   1417 skeleton
## 3144    178   1499 skeleton
## 3145    192   1476 skeleton
## 3146    226   1428 skeleton
## 3147    298   1431 seedling
## 3148    278   1402 seedling
## 3149    354   1457 skeleton
## 3150    322   1469 skeleton
## 3151    324   1469 seedling
## 3152    321   1481 skeleton
## 3153    769   1436 skeleton
## 3154    765   1442 regrowth
## 3155    791   1439 skeleton
## 3156    817   1417 skeleton
## 3157    897   1445 skeleton
## 3158    879   1488 skeleton
## 3159    825   1408 seedling
## 3160    826   1409 seedling
## 3161    827   1407 seedling
## 3162    841   1428 seedling
## 3163    836   1429 seedling
## 3164    838   1430 seedling
## 3165    837   1432 seedling
## 3166    867   1446 seedling
## 3167    810   1472  rosette
## 3168    876   1498 seedling
## 3169    986   1451 skeleton
## 3170    983   1487 skeleton
## 3171    972   1478 skeleton
## 3172    971   1403  rosette
## 3173    903   1411 skeleton
## 3174    916   1464 seedling
## 3175    932   1467 seedling
## 3176    912   1465 seedling
## 3177    916   1477 seedling
## 3178    919   1478 seedling
## 3179    915   1479 seedling
## 3180    915   1480 seedling
## 3181    981   1493 skeleton
## 3182   1099   1423 skeleton
## 3183   1084   1418 skeleton
## 3184   1094   1429 skeleton
## 3185   1079   1434 skeleton
## 3186   1009   1428 skeleton
## 3187   1035   1491 skeleton
## 3188   1082   1403 skeleton
## 3189   1080   1438 skeleton
## 3190   1009   1404 seedling
## 3191   1073   1413 seedling
## 3192   1075   1414 seedling
## 3193   1071   1414 seedling
## 3194   1078   1415 seedling
## 3195   1094   1402 seedling
## 3196   1109   1447 skeleton
## 3197   1126   1456 skeleton
## 3198   1173   1471 skeleton
## 3199   1198   1466 skeleton
## 3200   1131   1477 skeleton
## 3201   1225   1401 skeleton
## 3202   1209   1457 skeleton
## 3203   1288   1402 skeleton
## 3204   1296   1414 skeleton
## 3205   1294   1426 skeleton
## 3206   1271   1467 skeleton
## 3207   1227   1454 skeleton
## 3208   1208   1464 skeleton
## 3209   1256   1497 skeleton
## 3210   1206   1499 skeleton
## 3211   1299   1497 skeleton
## 3212   1266   1486 skeleton
## 3213   1208   1459 skeleton
## 3214   1214   1461 seedling
## 3215   1342   1419 skeleton
## 3216   1306   1432 skeleton
## 3217   1319   1442 skeleton
## 3218   1334   1457 skeleton
## 3219   1338   1446 skeleton
## 3220   1325   1461 skeleton
## 3221   1339   1467 skeleton
## 3222   1348   1451 skeleton
## 3223   1390   1490 skeleton
## 3224   1327   1451 seedling
## 3225   1326   1452 seedling
## 3226   1342   1453 seedling
## 3227   1341   1451 seedling
## 3228   1323   1459 seedling
## 3229   1326   1459 seedling
## 3230   1327   1460 seedling
## 3231   1326   1463 seedling
## 3232   1325   1466 seedling
## 3233   1320   1469 seedling
## 3234   1342   1491 skeleton
## 3235   1382   1488 skeleton
## 3236   1421   1446 seedling
## 3237   1415   1429 skeleton
## 3238   1483   1467 skeleton
## 3239   1576   1441 skeleton
## 3240   1579   1443 skeleton
## 3241   1588   1426 skeleton
## 3242   1558   1437 seedling
## 3243   1557   1439 seedling
## 3244   1553   1442 seedling
## 3245   1554   1443 seedling
## 3246   1555   1445 seedling
## 3247   1558   1445 seedling
## 3248   1528   1443 seedling
## 3249   1646   1414 skeleton
## 3250   1651   1418 skeleton
## 3251   1604   1402 skeleton
## 3252   1610   1469 skeleton
## 3253   1622   1465 skeleton
## 3254   1643   1468 skeleton
## 3255   1644   1499 skeleton
## 3256   1646   1499 skeleton
## 3257   1760   1403 skeleton
## 3258   1761   1404 skeleton
## 3259   1741   1412 skeleton
## 3260   1785   1499 skeleton
## 3261   1781   1403 seedling
## 3262   1858   1406 skeleton
## 3263   1897   1448 skeleton
## 3264   1899   1453 skeleton
## 3265   1858   1461 skeleton
## 3266   1833   1486 skeleton
## 3267   1849   1499 skeleton
## 3268   1899   1499 skeleton
## 3269   1890   1401 seedling
## 3270   1887   1404 seedling
## 3271   1889   1404 seedling
## 3272   1885   1408 seedling
## 3273   1835   1424 seedling
## 3274   1844   1425 seedling
## 3275   1843   1426 seedling
## 3276   1889   1432 seedling
## 3277   1857   1437 seedling
## 3278   1841   1448 seedling
## 3279   1848   1449 seedling
## 3280   1926   1444 skeleton
## 3281   1925   1443 skeleton
## 3282   1908   1405 seedling
## 3283   1906   1404 seedling
## 3284   1969   1407 seedling
## 3285   1981   1448 seedling
## 3286   1977   1461 seedling
## 3287   1912   1488 seedling
## 3288   1915   1488 seedling
## 3289   1916   1489 seedling
## 3290   1925   1489 seedling
## 3291   1924   1494 seedling
## 3292   1914   1495 seedling
## 3293   1905   1499 seedling
## 3294   1907   1499 seedling
## 3295   1909   1499 seedling
## 3296   2073   1452 skeleton
## 3297   2092   1467 skeleton
## 3298   2092   1412 skeleton
## 3299   2018   1405 seedling
## 3300   2011   1405 seedling
## 3301   2018   1407 seedling
## 3302   2023   1403 seedling
## 3303   2033   1401 seedling
## 3304   2049   1400 seedling
## 3305   2053   1403 seedling
## 3306   2055   1402 seedling
## 3307   2055   1404 seedling
## 3308   2065   1414 seedling
## 3309   2058   1416 seedling
## 3310   2059   1417 seedling
## 3311   2064   1418 seedling
## 3312   2068   1420 seedling
## 3313   2072   1444 seedling
## 3314   2099   1454 seedling
## 3315   2098   1452 seedling
## 3316   2069   1470 seedling
## 3317   2048   1473 seedling
## 3318   2050   1475 seedling
## 3319   2070   1491 seedling
## 3320   2051   1499 seedling
## 3321   2137   1422 skeleton
## 3322   2153   1499 skeleton
## 3323   2134   1433 skeleton
## 3324   2156   1433 seedling
## 3325   2165   1440 seedling
## 3326   2179   1448 seedling
## 3327   2178   1453 seedling
## 3328   2192   1458 seedling
## 3329   2139   1465 seedling
## 3330   2160   1473 skeleton
## 3331   2145   1471 seedling
## 3332   2188   1483 seedling
## 3333   2173   1498 seedling
## 3334   2180   1499 seedling
## 3335   2260   1403 skeleton
## 3336   2264   1404 skeleton
## 3337   2261   1427 skeleton
## 3338   2222   1442 skeleton
## 3339   2206   1482 skeleton
## 3340   2366   1422 skeleton
## 3341   2428   1482 skeleton
## 3342   2439   1477 seedling
## 3343   2526   1416 regrowth
## 3344   2515   1420 skeleton
## 3345   2584   1426 seedling
## 3346   2541   1446 seedling
## 3347   2536   1446 seedling
## 3348   2571   1460 seedling
## 3349   2570   1462 seedling
## 3350   2510   1499  rosette
## 3351   2551   1469 seedling
## 3352   2729   1416 seedling
## 3353   2798   1457 seedling
## 3354   2877   1434 seedling
## 3355   2830   1469 seedling
## 3356   2831   1469 seedling
## 3357   2835   1485 seedling
## 3358   2828   1486 seedling
## 3359   2987   1412 seedling

myco <- cbind(datosrw$xcoord, datosrw$ycoord)
myco <- matrix(myco,ncol=2)

#se usa la función knearneigh para convertir la matriz de coordenadas en un objeto de clase knn
#acá se pide los cuarto vecinos más cercanos de cada planta#
 

myco.knn <- knearneigh(myco, k=4)

## Warning in knearneigh(myco, k = 4): knearneigh: identical points found

#estructura
str(myco.knn)

## List of 5
##  $ nn       : int [1:3359, 1:4] 2 1 4 3 7 4 8 7 10 9 ...
##  $ np       : int 3359
##  $ k        : num 4
##  $ dimension: int 2
##  $ x        : num [1:3359, 1:2] 27 29 20 20 78 25 89 97 253 259 ...
##  - attr(*, "class")= chr "knn"
##  - attr(*, "call")= language knearneigh(x = myco, k = 4)

# $nn contiene 3359 listas, cada una es un vector tamaño 4, conteniendo las identidades de los cuatro puntos que son los vecinos más cercanos de cada uno de los puntos de los datos.
# $np (un entero) el numero de puntos en el patron
# $k es el numero de vecinos de cada punto
# $dimension =2
# $x es la matriz de coordenadas de cada punto (x primera columna, y segunda columna)

#pa poder trabajar con el objeto knn se convierte en un objeto nb

myco.nb <- knn2nb(myco.knn)

#el objeto nb contiene una lista con vectores de enteros para cada dato espacial representando la identidad de sus vecinos y pueden diferir en tamaño.

#Grafica con un objeto nb, especificando la matriz de coordenadas. une a cada punto con sus 4 vecinos más cercanos

plot(myco.nb,myco)

#el número 5 en la primera fila representa el número de ubicaciones que contiene el archivo

#para el resto de filas la primera columna representa el número la ubicación, la segunda es la identidad del vecino cercano, y la tercera es el peso de esa relación.

# se crea el objeto de vecino directamente con la función:

dd <- read.gwt2nb("naydf.txt")

## Warning in read.gwt2nb("naydf.txt"): Old-style GWT file

summary(dd)

## Neighbour list object:
## Number of regions: 5 
## Number of nonzero links: 13 
## Percentage nonzero weights: 52 
## Average number of links: 2.6 
## Non-symmetric neighbours list
## Link number distribution:
## 
## 2 3 
## 2 3 
## 2 least connected regions:
## 1 5 with 2 links
## 3 most connected regions:
## 2 3 4 with 3 links

#Acá están los 5 vectores de vecinos

dd[[1]]

## [1] 2 3

dd[[2]]

## [1] 1 3 4

dd[[3]]

## [1] 1 2 5

dd[[4]]

## [1] 2 3 5

dd[[5]]

## [1] 3 4

#se especifican las coordenas de las 5 ubicaciones

coox <- c(1,2,3,4,5)
cooy <- c(3,1,2,0,3) ##########?

#se grafica para indicar la relacion de vecinos de las 5 ubicaciones

plot(dd,matrix(cbind(coox,cooy),ncol=2))
text(coox,cooy,as.character(1:5),pos=rep(3,5))

#se usa pos = 3 para que los numeros aparezcan sobre los puntos

#La iformación del archivo no es reciporca puesto que tres aparece como un vecino de cuatro pero no vice versa, el comentario "Non-symmetric neighbours list" indica esto.

# se puede usar la función make.sym.nb para convertir esta lista en una lista de vecinos simetrica.

#PARA CREAR LISTAS DE PESOS SE USA LA FUNCION nb2listw PARA CREAR A PARTIR DE EL OBJETO DE VECINOS nb UNA LISTA DE PESOS.

#para los datos de ragwort ya se tenía una nb


myco.lw <- nb2listw(myco.nb, style="W")
myco.lw

## Characteristics of weights list object:
## Neighbour list object:
## Number of regions: 3359 
## Number of nonzero links: 13436 
## Percentage nonzero weights: 0.1190831 
## Average number of links: 4 
## Non-symmetric neighbours list
## 
## Weights style: W 
## Weights constants summary:
##      n       nn   S0     S1      S2
## W 3359 11282881 3359 1458.5 14076.5

#Indice de moran usando myco.lw

moran(1:3359,myco.lw,length(myco.nb),Szero(myco.lw))

## $I
## [1] 0.9931203
## 
## $K
## [1] 1.8

#C de Geary

geary(1:3359,myco.lw,length(myco.nb),length(myco.nb)-1,Szero(myco.lw))

## $C
## [1] 0.004546136
## 
## $K
## [1] 1.8

#permutación de Mentel

sp.mantel.mc(1:3359,myco.lw,nsim=99)

## 
##  Mantel permutation test for moran measure
## 
## data:  1:3359 
## weights: myco.lw 
## number of simulations + 1: 100 
## 
## statistic = 3334.9, observed rank = 100, p-value = 0.01
## alternative hypothesis: greater
## sample estimates:
## mean of permutations   sd of permutations 
##            -1.705955            37.089023

#para los tres casos el primer argumento es un vector con el numero de ubicaciones. el segundo es la matriz de pesos. Para moran el tercero es el tamaño del objeto de vecinos nb. y el cuarto es la suma global de pesos, la funcion geray tiene un argumento extra, "length(myco.nb)-1", y "sp.mantel.mc" especifica el número de simulaciones.

existen tres test básicos basados en productos espaciales cruzados C(i,j) donde

\[z(i)=(x(i)-mean(x))/sd(x):\\ *I.Moran \ (C(i,j)=z(i)z(j));\\ *Geary \ (C(i,j)=(z(i)-z(j))^2)\\ *Sokal \ (C(i,j)=|z(i)-z(j)|)\]

Lista de polígonos

library(spdep)
data(columbus)
poligonos <-polys
class(polys)

## [1] "polylist"

#polys se visualizan objetos de tipo polylit

#con spdep, funcion poly2nb se pueden ver qué regiones son vecinas a otras de estos polígonos
#el resultado es un objeto nb y se puede sobreponer el resultado de esta función en un mapa de los poligonos para ver lo bien que trabaja

#######colnbs <- poly2nb(poligonos)
#######plot(c(5.5,11.5),c(10.5,15),type="n",xlab="",ylab="")
#######for (i in 1:49) polygon(polys[[i]][,1],polys[[i]][,2],col="lightgrey")
#######plot(colnbs,coords,add=T,col="red")

#las listas de pligonos son complicadas de hacer, hayq ue buscar si no se ha hecho una anterirmente.

Data geoestadística

Los datos mapeados suelen representar variables respuesta continuas en diferentes ubiaciones espaciales, un problema con estos datos es la psuedoreplicación. Los puntos calientes suelen producir muchos datos, que tienden a ser similares por porvenir de una misma ubicación. Los puntos fríos son mal representados y están ampliamente separados. Largas areas entre los puntos fríos no tienen datos en lo absoluto.

La estadística espacial toma en en cuenta esta correlacion espacial en varias formas. La herramienta fundamental es el variograma que mide qué tan rapido la autocorrelacion espacial \(\gamma(h)\) decae a medida que incrementa la distancia:

\[\gamma(h)=\frac{1}{2|N(h)|}\sum_{N(h)}(zi-zj)^2\]

\(N(h)\) Es el set de todas las parejas de distancias euclideas \(i-j=h\), \(|N(h)|\), es el numero de parejas distintas dentro de \(N(h)\) y \(zi\) y \(zj\) son valores de las variables respuesta en las ubicaciones espaciales \(i\) y \(j\).

La distancia de fiabilidad del variograma es menor que la mitad de la maxima distancia sobre el campo entero de los datos. Solo se puede considerar hacer un variograma empirico cuando se tienen más de 30 datos de puntos en el mapa.

. . . . .

covariograma

\[cov(Z(i+h),Z(i))=C(h)\]

Correlograma

\[p(h)= \frac{C(h)}{C(0)} = 1-\frac{\gamma(h)}{C(0)}\]

library(spatial)
data <- read.table("ragwortmap.txt",header=T)

names(data)

##  [1] "ROW"          "COLUMN"       "X"            "Y"            "rosette"     
##  [6] "regenerating" "stems"        "diameter"     "xcoord"       "ycoord"      
## [11] "type"

stems <- data$stems

xcoord <- data$xcoord
ycoord <- data$ycoord
diametro <- sample(data$diameter, )
data$diameter[is.na(data$diameter)] <- 0
diameter <- data$diameter
dts <- data.frame(x=xcoord,y=ycoord,z=diameter)

#crear superficie de tendencia

surface <- surf.ls(2, dts$x, dts$y, dts$z)
variogram(surface,300)

correlogram(surface,300)

library(nlme)
model <- gls(diameter~xcoord+ycoord)
plot(Variogram(model,form= ~xcoord+ycoord))

Modelos de regresió con errores correlacionados espacialmente: Los minimos cuadrados generalizados (GLS)

la principal ventaja de usar la funcíon \(gls\) es que permite que los errores estén correlacionados o que las vairanzas sean desiguales, es decir que haya homocedasticidad.

library(nlme)

spatialdata <- read.table("spatialdata.txt",header=T)
names(spatialdata)

## [1] "Block"     "variety"   "yield"     "latitude"  "longitude"

# en este ejemplo se utiliza un estadio de escala geográfica. Se compara el rendimiento de 56 variedades diferentes de trigo, pero con la dificultad de que las parcelas que contenían estos ensayos estaban distribuidas a lo largo de un amplio rango de latitudes y longitudes.

par(mfrow=c(1,2))
plot(spatialdata$latitude,spatialdata$yield,pch=21,col="blue",bg="red")
plot(spatialdata$longitude,spatialdata$yield,pch=21,col="blue",bg="red")

# se ven grandes efectos de la latitud y la longitud tanto en la media del rendimiento como en la varianza.

#las variedades difieren substancialmente en sus rendimientos medios.

barplot(sort(tapply(spatialdata$yield,spatialdata$variety,mean)),col="darkgreen")
#las variedades con menor rendimiento producen 20 y las de mayor rendimiento 30 kg por unidad de area. También a efectos de bloqueo substanciales en el rendimiento:

tapply(spatialdata$yield,spatialdata$Block,mean)

##        1        2        3        4 
## 27.57500 28.81091 24.42589 21.42807

# el análisis más simple sería el un análisis de varianza con el rendimiento como la única variable explicatoria.

model1 <- aov(spatialdata$yield~spatialdata$variety)
summary(model1)

##                      Df Sum Sq Mean Sq F value Pr(>F)
## spatialdata$variety  55   2387   43.41    0.73  0.912
## Residuals           168   9990   59.47

#nos muestra que no habría diferencias significativas entre los rendimientos de las 56 variedades.

# se puede intentar un análisis de parcelas divididas con la variedad anidada dentro de  los bloques.

Block <- factor(spatialdata$Block)
model2 <- aov(spatialdata$yield~Block+spatialdata$variety+Error(Block))
summary(model2)

## 
## Error: Block
##       Df Sum Sq Mean Sq
## Block  3   1854   617.9
## 
## Error: Within
##                      Df Sum Sq Mean Sq F value Pr(>F)
## spatialdata$variety  55   2389   43.43   0.881  0.702
## Residuals           165   8135   49.30

#no hay diferencias significativas  de nuestra anterior interpretación

#se pueden ajustar la latitud y la longitud como covariables

model3 <- aov(spatialdata$yield~Block+spatialdata$variety+spatialdata$latitude+spatialdata$longitude)
summary(model3)

##                        Df Sum Sq Mean Sq F value   Pr(>F)    
## Block                   3   1854   617.9  19.858 5.07e-11 ***
## spatialdata$variety    55   2389    43.4   1.396   0.0565 .  
## spatialdata$latitude    1    686   686.1  22.051 5.60e-06 ***
## spatialdata$longitude   1   2378  2377.6  76.414 2.69e-15 ***
## Residuals             163   5072    31.1                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

#se nota una diferencia enorme. Ahora las diferencias entre variedades es más cerca de ser significativa (p.value= 0.0565)

#finalmente podemos utilizar Modelo GLS, para introducir covarianza espacial entre el rendimiento de ubicaciones que estan cercanas.

#Se empeiza aciendo un objeto de datos agrupados

yield <- spatialdata$yield
variety <- spatialdata$variety
block1<-spatialdata$Block

space <- groupedData(yield~variety|Block)

#utilizamos esto para ajustar un modelo usando glm el cual permite a los errores estar correlacionados, y tener varianzas desiguales.

model4 <- gls(yield~variety-1,space)
summary(model4)

## Generalized least squares fit by REML
##   Model: yield ~ variety - 1 
##   Data: space 
##        AIC      BIC    logLik
##   1354.742 1532.808 -620.3709
## 
## Coefficients:
##                     Value Std.Error  t-value p-value
## varietyARAPAHOE   29.4375  3.855687 7.634827       0
## varietyBRULE      26.0750  3.855687 6.762738       0
## varietyBUCKSKIN   25.5625  3.855687 6.629818       0
## varietyCENTURA    21.6500  3.855687 5.615083       0
## varietyCENTURK78  30.3000  3.855687 7.858522       0
## varietyCHEYENNE   28.0625  3.855687 7.278211       0
## varietyCODY       21.2125  3.855687 5.501614       0
## varietyCOLT       27.0000  3.855687 7.002644       0
## varietyGAGE       24.5125  3.855687 6.357493       0
## varietyHOMESTEAD  27.6375  3.855687 7.167984       0
## varietyKS831374   24.1250  3.855687 6.256992       0
## varietyLANCER     28.5625  3.855687 7.407889       0
## varietyLANCOTA    26.5500  3.855687 6.885933       0
## varietyNE83404    27.3875  3.855687 7.103145       0
## varietyNE83406    24.2750  3.855687 6.295895       0
## varietyNE83407    22.6875  3.855687 5.884166       0
## varietyNE83432    19.7250  3.855687 5.115820       0
## varietyNE83498    30.1250  3.855687 7.813135       0
## varietyNE83T12    21.5625  3.855687 5.592389       0
## varietyNE84557    20.5250  3.855687 5.323306       0
## varietyNE85556    26.3875  3.855687 6.843787       0
## varietyNE85623    21.7250  3.855687 5.634535       0
## varietyNE86482    24.2875  3.855687 6.299137       0
## varietyNE86501    30.9375  3.855687 8.023863       0
## varietyNE86503    32.6500  3.855687 8.468012       0
## varietyNE86507    23.7875  3.855687 6.169459       0
## varietyNE86509    26.8500  3.855687 6.963740       0
## varietyNE86527    22.0125  3.855687 5.709100       0
## varietyNE86582    24.5375  3.855687 6.363977       0
## varietyNE86606    29.7625  3.855687 7.719118       0
## varietyNE86607    29.3250  3.855687 7.605649       0
## varietyNE86T666   21.5375  3.855687 5.585905       0
## varietyNE87403    25.1250  3.855687 6.516349       0
## varietyNE87408    26.3000  3.855687 6.821094       0
## varietyNE87409    21.3750  3.855687 5.543760       0
## varietyNE87446    27.6750  3.855687 7.177710       0
## varietyNE87451    24.6125  3.855687 6.383428       0
## varietyNE87457    23.9125  3.855687 6.201878       0
## varietyNE87463    25.9125  3.855687 6.720593       0
## varietyNE87499    20.4125  3.855687 5.294128       0
## varietyNE87512    23.2500  3.855687 6.030054       0
## varietyNE87513    26.8125  3.855687 6.954014       0
## varietyNE87522    25.0000  3.855687 6.483929       0
## varietyNE87612    21.8000  3.855687 5.653986       0
## varietyNE87613    29.4000  3.855687 7.625101       0
## varietyNE87615    25.6875  3.855687 6.662237       0
## varietyNE87619    31.2625  3.855687 8.108154       0
## varietyNE87627    23.2250  3.855687 6.023570       0
## varietyNORKAN     24.4125  3.855687 6.331557       0
## varietyREDLAND    30.5000  3.855687 7.910394       0
## varietyROUGHRIDER 21.1875  3.855687 5.495130       0
## varietySCOUT66    27.5250  3.855687 7.138806       0
## varietySIOUXLAND  30.1125  3.855687 7.809893       0
## varietyTAM107     28.4000  3.855687 7.365744       0
## varietyTAM200     21.2375  3.855687 5.508098       0
## varietyVONA       23.6000  3.855687 6.120829       0
## 
##  Correlation: 
##                   vARAPA vBRULE vBUCKS vCENTURA vCENTURK vCHEYE vrCODY vrCOLT
## varietyBRULE      0                                                          
## varietyBUCKSKIN   0      0                                                   
## varietyCENTURA    0      0      0                                            
## varietyCENTURK78  0      0      0      0                                     
## varietyCHEYENNE   0      0      0      0        0                            
## varietyCODY       0      0      0      0        0        0                   
## varietyCOLT       0      0      0      0        0        0      0            
## varietyGAGE       0      0      0      0        0        0      0      0     
## varietyHOMESTEAD  0      0      0      0        0        0      0      0     
## varietyKS831374   0      0      0      0        0        0      0      0     
## varietyLANCER     0      0      0      0        0        0      0      0     
## varietyLANCOTA    0      0      0      0        0        0      0      0     
## varietyNE83404    0      0      0      0        0        0      0      0     
## varietyNE83406    0      0      0      0        0        0      0      0     
## varietyNE83407    0      0      0      0        0        0      0      0     
## varietyNE83432    0      0      0      0        0        0      0      0     
## varietyNE83498    0      0      0      0        0        0      0      0     
## varietyNE83T12    0      0      0      0        0        0      0      0     
## varietyNE84557    0      0      0      0        0        0      0      0     
## varietyNE85556    0      0      0      0        0        0      0      0     
## varietyNE85623    0      0      0      0        0        0      0      0     
## varietyNE86482    0      0      0      0        0        0      0      0     
## varietyNE86501    0      0      0      0        0        0      0      0     
## varietyNE86503    0      0      0      0        0        0      0      0     
## varietyNE86507    0      0      0      0        0        0      0      0     
## varietyNE86509    0      0      0      0        0        0      0      0     
## varietyNE86527    0      0      0      0        0        0      0      0     
## varietyNE86582    0      0      0      0        0        0      0      0     
## varietyNE86606    0      0      0      0        0        0      0      0     
## varietyNE86607    0      0      0      0        0        0      0      0     
## varietyNE86T666   0      0      0      0        0        0      0      0     
## varietyNE87403    0      0      0      0        0        0      0      0     
## varietyNE87408    0      0      0      0        0        0      0      0     
## varietyNE87409    0      0      0      0        0        0      0      0     
## varietyNE87446    0      0      0      0        0        0      0      0     
## varietyNE87451    0      0      0      0        0        0      0      0     
## varietyNE87457    0      0      0      0        0        0      0      0     
## varietyNE87463    0      0      0      0        0        0      0      0     
## varietyNE87499    0      0      0      0        0        0      0      0     
## varietyNE87512    0      0      0      0        0        0      0      0     
## varietyNE87513    0      0      0      0        0        0      0      0     
## varietyNE87522    0      0      0      0        0        0      0      0     
## varietyNE87612    0      0      0      0        0        0      0      0     
## varietyNE87613    0      0      0      0        0        0      0      0     
## varietyNE87615    0      0      0      0        0        0      0      0     
## varietyNE87619    0      0      0      0        0        0      0      0     
## varietyNE87627    0      0      0      0        0        0      0      0     
## varietyNORKAN     0      0      0      0        0        0      0      0     
## varietyREDLAND    0      0      0      0        0        0      0      0     
## varietyROUGHRIDER 0      0      0      0        0        0      0      0     
## varietySCOUT66    0      0      0      0        0        0      0      0     
## varietySIOUXLAND  0      0      0      0        0        0      0      0     
## varietyTAM107     0      0      0      0        0        0      0      0     
## varietyTAM200     0      0      0      0        0        0      0      0     
## varietyVONA       0      0      0      0        0        0      0      0     
##                   vrGAGE vHOMES vKS831 vLANCE vLANCO vNE83404 vNE83406 vNE83407
## varietyBRULE                                                                   
## varietyBUCKSKIN                                                                
## varietyCENTURA                                                                 
## varietyCENTURK78                                                               
## varietyCHEYENNE                                                                
## varietyCODY                                                                    
## varietyCOLT                                                                    
## varietyGAGE                                                                    
## varietyHOMESTEAD  0                                                            
## varietyKS831374   0      0                                                     
## varietyLANCER     0      0      0                                              
## varietyLANCOTA    0      0      0      0                                       
## varietyNE83404    0      0      0      0      0                                
## varietyNE83406    0      0      0      0      0      0                         
## varietyNE83407    0      0      0      0      0      0        0                
## varietyNE83432    0      0      0      0      0      0        0        0       
## varietyNE83498    0      0      0      0      0      0        0        0       
## varietyNE83T12    0      0      0      0      0      0        0        0       
## varietyNE84557    0      0      0      0      0      0        0        0       
## varietyNE85556    0      0      0      0      0      0        0        0       
## varietyNE85623    0      0      0      0      0      0        0        0       
## varietyNE86482    0      0      0      0      0      0        0        0       
## varietyNE86501    0      0      0      0      0      0        0        0       
## varietyNE86503    0      0      0      0      0      0        0        0       
## varietyNE86507    0      0      0      0      0      0        0        0       
## varietyNE86509    0      0      0      0      0      0        0        0       
## varietyNE86527    0      0      0      0      0      0        0        0       
## varietyNE86582    0      0      0      0      0      0        0        0       
## varietyNE86606    0      0      0      0      0      0        0        0       
## varietyNE86607    0      0      0      0      0      0        0        0       
## varietyNE86T666   0      0      0      0      0      0        0        0       
## varietyNE87403    0      0      0      0      0      0        0        0       
## varietyNE87408    0      0      0      0      0      0        0        0       
## varietyNE87409    0      0      0      0      0      0        0        0       
## varietyNE87446    0      0      0      0      0      0        0        0       
## varietyNE87451    0      0      0      0      0      0        0        0       
## varietyNE87457    0      0      0      0      0      0        0        0       
## varietyNE87463    0      0      0      0      0      0        0        0       
## varietyNE87499    0      0      0      0      0      0        0        0       
## varietyNE87512    0      0      0      0      0      0        0        0       
## varietyNE87513    0      0      0      0      0      0        0        0       
## varietyNE87522    0      0      0      0      0      0        0        0       
## varietyNE87612    0      0      0      0      0      0        0        0       
## varietyNE87613    0      0      0      0      0      0        0        0       
## varietyNE87615    0      0      0      0      0      0        0        0       
## varietyNE87619    0      0      0      0      0      0        0        0       
## varietyNE87627    0      0      0      0      0      0        0        0       
## varietyNORKAN     0      0      0      0      0      0        0        0       
## varietyREDLAND    0      0      0      0      0      0        0        0       
## varietyROUGHRIDER 0      0      0      0      0      0        0        0       
## varietySCOUT66    0      0      0      0      0      0        0        0       
## varietySIOUXLAND  0      0      0      0      0      0        0        0       
## varietyTAM107     0      0      0      0      0      0        0        0       
## varietyTAM200     0      0      0      0      0      0        0        0       
## varietyVONA       0      0      0      0      0      0        0        0       
##                   vNE8343 vNE8349 vNE83T vNE845 vNE855 vNE856 vNE864 vNE86501
## varietyBRULE                                                                 
## varietyBUCKSKIN                                                              
## varietyCENTURA                                                               
## varietyCENTURK78                                                             
## varietyCHEYENNE                                                              
## varietyCODY                                                                  
## varietyCOLT                                                                  
## varietyGAGE                                                                  
## varietyHOMESTEAD                                                             
## varietyKS831374                                                              
## varietyLANCER                                                                
## varietyLANCOTA                                                               
## varietyNE83404                                                               
## varietyNE83406                                                               
## varietyNE83407                                                               
## varietyNE83432                                                               
## varietyNE83498    0                                                          
## varietyNE83T12    0       0                                                  
## varietyNE84557    0       0       0                                          
## varietyNE85556    0       0       0      0                                   
## varietyNE85623    0       0       0      0      0                            
## varietyNE86482    0       0       0      0      0      0                     
## varietyNE86501    0       0       0      0      0      0      0              
## varietyNE86503    0       0       0      0      0      0      0      0       
## varietyNE86507    0       0       0      0      0      0      0      0       
## varietyNE86509    0       0       0      0      0      0      0      0       
## varietyNE86527    0       0       0      0      0      0      0      0       
## varietyNE86582    0       0       0      0      0      0      0      0       
## varietyNE86606    0       0       0      0      0      0      0      0       
## varietyNE86607    0       0       0      0      0      0      0      0       
## varietyNE86T666   0       0       0      0      0      0      0      0       
## varietyNE87403    0       0       0      0      0      0      0      0       
## varietyNE87408    0       0       0      0      0      0      0      0       
## varietyNE87409    0       0       0      0      0      0      0      0       
## varietyNE87446    0       0       0      0      0      0      0      0       
## varietyNE87451    0       0       0      0      0      0      0      0       
## varietyNE87457    0       0       0      0      0      0      0      0       
## varietyNE87463    0       0       0      0      0      0      0      0       
## varietyNE87499    0       0       0      0      0      0      0      0       
## varietyNE87512    0       0       0      0      0      0      0      0       
## varietyNE87513    0       0       0      0      0      0      0      0       
## varietyNE87522    0       0       0      0      0      0      0      0       
## varietyNE87612    0       0       0      0      0      0      0      0       
## varietyNE87613    0       0       0      0      0      0      0      0       
## varietyNE87615    0       0       0      0      0      0      0      0       
## varietyNE87619    0       0       0      0      0      0      0      0       
## varietyNE87627    0       0       0      0      0      0      0      0       
## varietyNORKAN     0       0       0      0      0      0      0      0       
## varietyREDLAND    0       0       0      0      0      0      0      0       
## varietyROUGHRIDER 0       0       0      0      0      0      0      0       
## varietySCOUT66    0       0       0      0      0      0      0      0       
## varietySIOUXLAND  0       0       0      0      0      0      0      0       
## varietyTAM107     0       0       0      0      0      0      0      0       
## varietyTAM200     0       0       0      0      0      0      0      0       
## varietyVONA       0       0       0      0      0      0      0      0       
##                   vNE86503 vNE86507 vNE86509 vNE8652 vNE8658 vNE86606 vNE86607
## varietyBRULE                                                                  
## varietyBUCKSKIN                                                               
## varietyCENTURA                                                                
## varietyCENTURK78                                                              
## varietyCHEYENNE                                                               
## varietyCODY                                                                   
## varietyCOLT                                                                   
## varietyGAGE                                                                   
## varietyHOMESTEAD                                                              
## varietyKS831374                                                               
## varietyLANCER                                                                 
## varietyLANCOTA                                                                
## varietyNE83404                                                                
## varietyNE83406                                                                
## varietyNE83407                                                                
## varietyNE83432                                                                
## varietyNE83498                                                                
## varietyNE83T12                                                                
## varietyNE84557                                                                
## varietyNE85556                                                                
## varietyNE85623                                                                
## varietyNE86482                                                                
## varietyNE86501                                                                
## varietyNE86503                                                                
## varietyNE86507    0                                                           
## varietyNE86509    0        0                                                  
## varietyNE86527    0        0        0                                         
## varietyNE86582    0        0        0        0                                
## varietyNE86606    0        0        0        0       0                        
## varietyNE86607    0        0        0        0       0       0                
## varietyNE86T666   0        0        0        0       0       0        0       
## varietyNE87403    0        0        0        0       0       0        0       
## varietyNE87408    0        0        0        0       0       0        0       
## varietyNE87409    0        0        0        0       0       0        0       
## varietyNE87446    0        0        0        0       0       0        0       
## varietyNE87451    0        0        0        0       0       0        0       
## varietyNE87457    0        0        0        0       0       0        0       
## varietyNE87463    0        0        0        0       0       0        0       
## varietyNE87499    0        0        0        0       0       0        0       
## varietyNE87512    0        0        0        0       0       0        0       
## varietyNE87513    0        0        0        0       0       0        0       
## varietyNE87522    0        0        0        0       0       0        0       
## varietyNE87612    0        0        0        0       0       0        0       
## varietyNE87613    0        0        0        0       0       0        0       
## varietyNE87615    0        0        0        0       0       0        0       
## varietyNE87619    0        0        0        0       0       0        0       
## varietyNE87627    0        0        0        0       0       0        0       
## varietyNORKAN     0        0        0        0       0       0        0       
## varietyREDLAND    0        0        0        0       0       0        0       
## varietyROUGHRIDER 0        0        0        0       0       0        0       
## varietySCOUT66    0        0        0        0       0       0        0       
## varietySIOUXLAND  0        0        0        0       0       0        0       
## varietyTAM107     0        0        0        0       0       0        0       
## varietyTAM200     0        0        0        0       0       0        0       
## varietyVONA       0        0        0        0       0       0        0       
##                   vNE86T vNE87403 vNE87408 vNE87409 vNE8744 vNE87451 vNE87457
## varietyBRULE                                                                 
## varietyBUCKSKIN                                                              
## varietyCENTURA                                                               
## varietyCENTURK78                                                             
## varietyCHEYENNE                                                              
## varietyCODY                                                                  
## varietyCOLT                                                                  
## varietyGAGE                                                                  
## varietyHOMESTEAD                                                             
## varietyKS831374                                                              
## varietyLANCER                                                                
## varietyLANCOTA                                                               
## varietyNE83404                                                               
## varietyNE83406                                                               
## varietyNE83407                                                               
## varietyNE83432                                                               
## varietyNE83498                                                               
## varietyNE83T12                                                               
## varietyNE84557                                                               
## varietyNE85556                                                               
## varietyNE85623                                                               
## varietyNE86482                                                               
## varietyNE86501                                                               
## varietyNE86503                                                               
## varietyNE86507                                                               
## varietyNE86509                                                               
## varietyNE86527                                                               
## varietyNE86582                                                               
## varietyNE86606                                                               
## varietyNE86607                                                               
## varietyNE86T666                                                              
## varietyNE87403    0                                                          
## varietyNE87408    0      0                                                   
## varietyNE87409    0      0        0                                          
## varietyNE87446    0      0        0        0                                 
## varietyNE87451    0      0        0        0        0                        
## varietyNE87457    0      0        0        0        0       0                
## varietyNE87463    0      0        0        0        0       0        0       
## varietyNE87499    0      0        0        0        0       0        0       
## varietyNE87512    0      0        0        0        0       0        0       
## varietyNE87513    0      0        0        0        0       0        0       
## varietyNE87522    0      0        0        0        0       0        0       
## varietyNE87612    0      0        0        0        0       0        0       
## varietyNE87613    0      0        0        0        0       0        0       
## varietyNE87615    0      0        0        0        0       0        0       
## varietyNE87619    0      0        0        0        0       0        0       
## varietyNE87627    0      0        0        0        0       0        0       
## varietyNORKAN     0      0        0        0        0       0        0       
## varietyREDLAND    0      0        0        0        0       0        0       
## varietyROUGHRIDER 0      0        0        0        0       0        0       
## varietySCOUT66    0      0        0        0        0       0        0       
## varietySIOUXLAND  0      0        0        0        0       0        0       
## varietyTAM107     0      0        0        0        0       0        0       
## varietyTAM200     0      0        0        0        0       0        0       
## varietyVONA       0      0        0        0        0       0        0       
##                   vNE8746 vNE8749 vNE87512 vNE87513 vNE8752 vNE87612 vNE87613
## varietyBRULE                                                                 
## varietyBUCKSKIN                                                              
## varietyCENTURA                                                               
## varietyCENTURK78                                                             
## varietyCHEYENNE                                                              
## varietyCODY                                                                  
## varietyCOLT                                                                  
## varietyGAGE                                                                  
## varietyHOMESTEAD                                                             
## varietyKS831374                                                              
## varietyLANCER                                                                
## varietyLANCOTA                                                               
## varietyNE83404                                                               
## varietyNE83406                                                               
## varietyNE83407                                                               
## varietyNE83432                                                               
## varietyNE83498                                                               
## varietyNE83T12                                                               
## varietyNE84557                                                               
## varietyNE85556                                                               
## varietyNE85623                                                               
## varietyNE86482                                                               
## varietyNE86501                                                               
## varietyNE86503                                                               
## varietyNE86507                                                               
## varietyNE86509                                                               
## varietyNE86527                                                               
## varietyNE86582                                                               
## varietyNE86606                                                               
## varietyNE86607                                                               
## varietyNE86T666                                                              
## varietyNE87403                                                               
## varietyNE87408                                                               
## varietyNE87409                                                               
## varietyNE87446                                                               
## varietyNE87451                                                               
## varietyNE87457                                                               
## varietyNE87463                                                               
## varietyNE87499    0                                                          
## varietyNE87512    0       0                                                  
## varietyNE87513    0       0       0                                          
## varietyNE87522    0       0       0        0                                 
## varietyNE87612    0       0       0        0        0                        
## varietyNE87613    0       0       0        0        0       0                
## varietyNE87615    0       0       0        0        0       0        0       
## varietyNE87619    0       0       0        0        0       0        0       
## varietyNE87627    0       0       0        0        0       0        0       
## varietyNORKAN     0       0       0        0        0       0        0       
## varietyREDLAND    0       0       0        0        0       0        0       
## varietyROUGHRIDER 0       0       0        0        0       0        0       
## varietySCOUT66    0       0       0        0        0       0        0       
## varietySIOUXLAND  0       0       0        0        0       0        0       
## varietyTAM107     0       0       0        0        0       0        0       
## varietyTAM200     0       0       0        0        0       0        0       
## varietyVONA       0       0       0        0        0       0        0       
##                   vNE87615 vNE87619 vNE8762 vNORKA vREDLA vROUGH vSCOUT vSIOUX
## varietyBRULE                                                                  
## varietyBUCKSKIN                                                               
## varietyCENTURA                                                                
## varietyCENTURK78                                                              
## varietyCHEYENNE                                                               
## varietyCODY                                                                   
## varietyCOLT                                                                   
## varietyGAGE                                                                   
## varietyHOMESTEAD                                                              
## varietyKS831374                                                               
## varietyLANCER                                                                 
## varietyLANCOTA                                                                
## varietyNE83404                                                                
## varietyNE83406                                                                
## varietyNE83407                                                                
## varietyNE83432                                                                
## varietyNE83498                                                                
## varietyNE83T12                                                                
## varietyNE84557                                                                
## varietyNE85556                                                                
## varietyNE85623                                                                
## varietyNE86482                                                                
## varietyNE86501                                                                
## varietyNE86503                                                                
## varietyNE86507                                                                
## varietyNE86509                                                                
## varietyNE86527                                                                
## varietyNE86582                                                                
## varietyNE86606                                                                
## varietyNE86607                                                                
## varietyNE86T666                                                               
## varietyNE87403                                                                
## varietyNE87408                                                                
## varietyNE87409                                                                
## varietyNE87446                                                                
## varietyNE87451                                                                
## varietyNE87457                                                                
## varietyNE87463                                                                
## varietyNE87499                                                                
## varietyNE87512                                                                
## varietyNE87513                                                                
## varietyNE87522                                                                
## varietyNE87612                                                                
## varietyNE87613                                                                
## varietyNE87615                                                                
## varietyNE87619    0                                                           
## varietyNE87627    0        0                                                  
## varietyNORKAN     0        0        0                                         
## varietyREDLAND    0        0        0       0                                 
## varietyROUGHRIDER 0        0        0       0      0                          
## varietySCOUT66    0        0        0       0      0      0                   
## varietySIOUXLAND  0        0        0       0      0      0      0            
## varietyTAM107     0        0        0       0      0      0      0      0     
## varietyTAM200     0        0        0       0      0      0      0      0     
## varietyVONA       0        0        0       0      0      0      0      0     
##                   vTAM10 vTAM20
## varietyBRULE                   
## varietyBUCKSKIN                
## varietyCENTURA                 
## varietyCENTURK78               
## varietyCHEYENNE                
## varietyCODY                    
## varietyCOLT                    
## varietyGAGE                    
## varietyHOMESTEAD               
## varietyKS831374                
## varietyLANCER                  
## varietyLANCOTA                 
## varietyNE83404                 
## varietyNE83406                 
## varietyNE83407                 
## varietyNE83432                 
## varietyNE83498                 
## varietyNE83T12                 
## varietyNE84557                 
## varietyNE85556                 
## varietyNE85623                 
## varietyNE86482                 
## varietyNE86501                 
## varietyNE86503                 
## varietyNE86507                 
## varietyNE86509                 
## varietyNE86527                 
## varietyNE86582                 
## varietyNE86606                 
## varietyNE86607                 
## varietyNE86T666                
## varietyNE87403                 
## varietyNE87408                 
## varietyNE87409                 
## varietyNE87446                 
## varietyNE87451                 
## varietyNE87457                 
## varietyNE87463                 
## varietyNE87499                 
## varietyNE87512                 
## varietyNE87513                 
## varietyNE87522                 
## varietyNE87612                 
## varietyNE87613                 
## varietyNE87615                 
## varietyNE87619                 
## varietyNE87627                 
## varietyNORKAN                  
## varietyREDLAND                 
## varietyROUGHRIDER              
## varietySCOUT66                 
## varietySIOUXLAND               
## varietyTAM107                  
## varietyTAM200     0            
## varietyVONA       0      0     
## 
## Standardized residuals:
##        Min         Q1        Med         Q3        Max 
## -2.9015584 -0.4007879  0.1110373  0.5649123  1.9224851 
## 
## Residual standard error: 7.711373 
## Degrees of freedom: 224 total; 168 residual

#Las medias de las variedades estan dadas, en vez de las diferencias entre medias, dado que removimos el intercepto del modelo utilizando 'variety~variety-1' en lugar de 'variety~variety-1' en la formula del modelo.

#ahora se añade la covarianza espacial.
#la función 'variogram' es aplicada al 'model4'

latitude <- spatialdata$latitude
longitude <- spatialdata$longitude
plot(Variogram(model4,form=~latitude+longitude))

#El variograma de la muestra aumenta a medida que aumenta la distancia, ilustrando la correlación espacial esperada. Extrapolando a la distancia cero, parece haber un nugget cerca de 0.2. Hay varios supuestos que se pueden hacer acerca de la correlacion espacial de estos datos. Por tanto se intenta una estructura de correlación esférica, usando la clase "corSpher". Necesitamos especificar la distancia ala cual el semivariograma alcanza 1. una inspeccion muestra que es cerca a 28, podemos actualiar el modelo 4 al incluir esta información

model5 <- update(model4,
corr=corSpher(c(28,0.2),form=~latitude+longitude,nugget=T))
summary(model5)

## Generalized least squares fit by REML
##   Model: yield ~ variety - 1 
##   Data: space 
##        AIC      BIC    logLik
##   1185.863 1370.177 -533.9315
## 
## Correlation Structure: Spherical spatial correlation
##  Formula: ~latitude + longitude 
##  Parameter estimate(s):
##      range     nugget 
## 27.4574777  0.2093144 
## 
## Coefficients:
##                      Value Std.Error   t-value p-value
## varietyARAPAHOE   26.65898  3.437352  7.755672       0
## varietyBRULE      25.84956  3.441792  7.510496       0
## varietyBUCKSKIN   34.84837  3.478290 10.018822       0
## varietyCENTURA    25.09472  3.458867  7.255186       0
## varietyCENTURK78  26.33425  3.477919  7.571840       0
## varietyCHEYENNE   24.67327  3.438914  7.174727       0
## varietyCODY       22.48926  3.446486  6.525273       0
## varietyCOLT       25.18434  3.458716  7.281415       0
## varietyGAGE       24.32146  3.454978  7.039542       0
## varietyHOMESTEAD  21.66945  3.428008  6.321295       0
## varietyKS831374   26.85636  3.426682  7.837426       0
## varietyLANCER     23.33317  3.445318  6.772428       0
## varietyLANCOTA    21.29148  3.453168  6.165782       0
## varietyNE83404    24.04924  3.444731  6.981456       0
## varietyNE83406    25.31371  3.431704  7.376424       0
## varietyNE83407    25.19179  3.434447  7.335033       0
## varietyNE83432    21.81787  3.461530  6.302955       0
## varietyNE83498    28.70507  3.463483  8.287920       0
## varietyNE83T12    22.14497  3.487042  6.350646       0
## varietyNE84557    21.78129  3.435513  6.340041       0
## varietyNE85556    27.97347  3.445548  8.118729       0
## varietyNE85623    23.92360  3.449388  6.935606       0
## varietyNE86482    24.97432  3.426650  7.288261       0
## varietyNE86501    25.01765  3.446295  7.259287       0
## varietyNE86503    27.22405  3.471227  7.842773       0
## varietyNE86507    27.45299  3.472369  7.906128       0
## varietyNE86509    22.40808  3.458637  6.478877       0
## varietyNE86527    25.88213  3.447873  7.506694       0
## varietyNE86582    22.58725  3.480177  6.490259       0
## varietyNE86606    26.79646  3.471387  7.719238       0
## varietyNE86607    25.91034  3.471021  7.464760       0
## varietyNE86T666   16.78747  3.483088  4.819708       0
## varietyNE87403    21.48958  3.489067  6.159121       0
## varietyNE87408    24.31915  3.473652  7.001032       0
## varietyNE87409    26.32013  3.471552  7.581661       0
## varietyNE87446    22.21946  3.456956  6.427464       0
## varietyNE87451    24.19087  3.468471  6.974504       0
## varietyNE87457    23.53619  3.458271  6.805768       0
## varietyNE87463    23.22571  3.473916  6.685743       0
## varietyNE87499    22.17341  3.474606  6.381562       0
## varietyNE87512    22.57541  3.473248  6.499798       0
## varietyNE87513    21.82500  3.462985  6.302365       0
## varietyNE87522    19.48257  3.436261  5.669700       0
## varietyNE87612    27.39094  3.445481  7.949815       0
## varietyNE87613    27.56167  3.450507  7.987714       0
## varietyNE87615    23.81891  3.441606  6.920870       0
## varietyNE87619    28.48500  3.463575  8.224161       0
## varietyNE87627    18.48032  3.487567  5.298915       0
## varietyNORKAN     22.14489  3.448582  6.421448       0
## varietyREDLAND    27.98347  3.425959  8.168068       0
## varietyROUGHRIDER 25.74795  3.497083  7.362694       0
## varietySCOUT66    26.87766  3.456097  7.776884       0
## varietySIOUXLAND  25.65584  3.457112  7.421177       0
## varietyTAM107     22.77038  3.427452  6.643531       0
## varietyTAM200     18.76404  3.440786  5.453417       0
## varietyVONA       24.78208  3.473125  7.135383       0
## 
##  Correlation: 
##                   vARAPA vBRULE vBUCKS vCENTURA vCENTURK vCHEYE vrCODY vrCOLT
## varietyBRULE      0.630                                                      
## varietyBUCKSKIN   0.610  0.622                                               
## varietyCENTURA    0.631  0.623  0.624                                        
## varietyCENTURK78  0.638  0.625  0.612  0.639                                 
## varietyCHEYENNE   0.654  0.624  0.603  0.625    0.631                        
## varietyCODY       0.653  0.633  0.623  0.637    0.628    0.626               
## varietyCOLT       0.633  0.623  0.618  0.647    0.640    0.626  0.626        
## varietyGAGE       0.638  0.631  0.613  0.637    0.645    0.640  0.635  0.634 
## varietyHOMESTEAD  0.621  0.619  0.596  0.618    0.621    0.621  0.613  0.617 
## varietyKS831374   0.618  0.621  0.610  0.620    0.638    0.615  0.619  0.645 
## varietyLANCER     0.651  0.655  0.605  0.626    0.632    0.627  0.630  0.647 
## varietyLANCOTA    0.620  0.630  0.601  0.621    0.628    0.621  0.616  0.620 
## varietyNE83404    0.661  0.631  0.614  0.635    0.631    0.643  0.660  0.634 
## varietyNE83406    0.636  0.622  0.641  0.625    0.623    0.628  0.631  0.655 
## varietyNE83407    0.625  0.604  0.612  0.647    0.617    0.614  0.623  0.627 
## varietyNE83432    0.639  0.627  0.614  0.657    0.663    0.642  0.632  0.639 
## varietyNE83498    0.640  0.625  0.612  0.641    0.640    0.639  0.630  0.652 
## varietyNE83T12    0.639  0.627  0.616  0.644    0.686    0.634  0.633  0.641 
## varietyNE84557    0.630  0.624  0.612  0.638    0.643    0.628  0.631  0.646 
## varietyNE85556    0.632  0.648  0.640  0.640    0.653    0.629  0.629  0.637 
## varietyNE85623    0.634  0.628  0.618  0.656    0.660    0.625  0.646  0.634 
## varietyNE86482    0.615  0.652  0.607  0.617    0.625    0.616  0.614  0.618 
## varietyNE86501    0.629  0.626  0.601  0.621    0.631    0.634  0.618  0.622 
## varietyNE86503    0.635  0.642  0.615  0.654    0.639    0.636  0.634  0.644 
## varietyNE86507    0.642  0.652  0.647  0.644    0.640    0.635  0.638  0.640 
## varietyNE86509    0.639  0.629  0.617  0.641    0.640    0.641  0.634  0.638 
## varietyNE86527    0.632  0.628  0.655  0.643    0.639    0.624  0.630  0.661 
## varietyNE86582    0.640  0.633  0.631  0.649    0.640    0.636  0.664  0.644 
## varietyNE86606    0.634  0.654  0.623  0.641    0.648    0.630  0.636  0.645 
## varietyNE86607    0.633  0.637  0.613  0.634    0.636    0.649  0.627  0.638 
## varietyNE86T666   0.638  0.628  0.613  0.636    0.654    0.633  0.632  0.631 
## varietyNE87403    0.641  0.620  0.616  0.643    0.646    0.625  0.632  0.638 
## varietyNE87408    0.627  0.619  0.612  0.643    0.644    0.621  0.644  0.648 
## varietyNE87409    0.638  0.628  0.631  0.644    0.653    0.632  0.632  0.634 
## varietyNE87446    0.637  0.635  0.613  0.653    0.642    0.631  0.629  0.634 
## varietyNE87451    0.634  0.629  0.615  0.637    0.650    0.639  0.634  0.633 
## varietyNE87457    0.636  0.629  0.628  0.639    0.645    0.630  0.644  0.650 
## varietyNE87463    0.642  0.641  0.631  0.637    0.637    0.634  0.655  0.636 
## varietyNE87499    0.642  0.634  0.625  0.659    0.645    0.656  0.640  0.637 
## varietyNE87512    0.633  0.620  0.614  0.652    0.633    0.627  0.630  0.629 
## varietyNE87513    0.639  0.621  0.606  0.632    0.649    0.634  0.619  0.628 
## varietyNE87522    0.629  0.618  0.603  0.622    0.634    0.653  0.616  0.646 
## varietyNE87612    0.615  0.638  0.661  0.616    0.616    0.615  0.642  0.615 
## varietyNE87613    0.651  0.634  0.623  0.630    0.639    0.634  0.627  0.630 
## varietyNE87615    0.655  0.628  0.620  0.633    0.646    0.644  0.631  0.636 
## varietyNE87619    0.640  0.635  0.620  0.642    0.644    0.647  0.634  0.637 
## varietyNE87627    0.658  0.628  0.618  0.648    0.682    0.633  0.632  0.638 
## varietyNORKAN     0.635  0.626  0.614  0.638    0.662    0.631  0.633  0.653 
## varietyREDLAND    0.653  0.640  0.601  0.622    0.628    0.647  0.645  0.636 
## varietyROUGHRIDER 0.637  0.638  0.643  0.650    0.637    0.628  0.639  0.641 
## varietySCOUT66    0.652  0.623  0.622  0.666    0.646    0.629  0.631  0.661 
## varietySIOUXLAND  0.631  0.635  0.607  0.628    0.632    0.647  0.626  0.627 
## varietyTAM107     0.646  0.619  0.602  0.622    0.648    0.651  0.623  0.632 
## varietyTAM200     0.638  0.630  0.610  0.630    0.648    0.628  0.622  0.635 
## varietyVONA       0.636  0.629  0.625  0.636    0.642    0.627  0.640  0.641 
##                   vrGAGE vHOMES vKS831 vLANCE vLANCO vNE83404 vNE83406 vNE83407
## varietyBRULE                                                                   
## varietyBUCKSKIN                                                                
## varietyCENTURA                                                                 
## varietyCENTURK78                                                               
## varietyCHEYENNE                                                                
## varietyCODY                                                                    
## varietyCOLT                                                                    
## varietyGAGE                                                                    
## varietyHOMESTEAD  0.621                                                        
## varietyKS831374   0.646  0.614                                                 
## varietyLANCER     0.649  0.628  0.622                                          
## varietyLANCOTA    0.630  0.657  0.618  0.632                                   
## varietyNE83404    0.638  0.642  0.615  0.636  0.625                            
## varietyNE83406    0.623  0.609  0.613  0.639  0.614  0.652                     
## varietyNE83407    0.638  0.597  0.610  0.608  0.601  0.616    0.611            
## varietyNE83432    0.645  0.618  0.627  0.628  0.621  0.635    0.622    0.621   
## varietyNE83498    0.636  0.620  0.620  0.628  0.623  0.654    0.622    0.617   
## varietyNE83T12    0.662  0.621  0.633  0.632  0.628  0.635    0.626    0.622   
## varietyNE84557    0.643  0.634  0.646  0.627  0.629  0.629    0.623    0.616   
## varietyNE85556    0.640  0.642  0.634  0.629  0.637  0.641    0.627    0.616   
## varietyNE85623    0.644  0.622  0.644  0.626  0.623  0.631    0.618    0.618   
## varietyNE86482    0.632  0.634  0.654  0.636  0.645  0.617    0.606    0.597   
## varietyNE86501    0.627  0.660  0.613  0.629  0.654  0.629    0.612    0.604   
## varietyNE86503    0.641  0.644  0.626  0.641  0.660  0.657    0.627    0.617   
## varietyNE86507    0.641  0.625  0.627  0.632  0.633  0.643    0.632    0.623   
## varietyNE86509    0.636  0.642  0.627  0.632  0.656  0.640    0.631    0.617   
## varietyNE86527    0.640  0.614  0.640  0.626  0.620  0.631    0.629    0.625   
## varietyNE86582    0.649  0.623  0.628  0.637  0.625  0.651    0.630    0.626   
## varietyNE86606    0.644  0.624  0.635  0.641  0.636  0.636    0.633    0.616   
## varietyNE86607    0.643  0.627  0.619  0.643  0.655  0.646    0.643    0.611   
## varietyNE86T666   0.649  0.624  0.625  0.629  0.635  0.638    0.621    0.619   
## varietyNE87403    0.640  0.619  0.626  0.624  0.622  0.633    0.630    0.647   
## varietyNE87408    0.642  0.617  0.626  0.632  0.620  0.631    0.623    0.649   
## varietyNE87409    0.662  0.620  0.626  0.631  0.625  0.636    0.643    0.630   
## varietyNE87446    0.650  0.641  0.625  0.655  0.641  0.655    0.625    0.618   
## varietyNE87451    0.675  0.624  0.630  0.639  0.630  0.636    0.623    0.625   
## varietyNE87457    0.640  0.627  0.630  0.635  0.641  0.636    0.654    0.635   
## varietyNE87463    0.643  0.619  0.621  0.638  0.626  0.648    0.633    0.626   
## varietyNE87499    0.650  0.620  0.628  0.634  0.629  0.640    0.636    0.624   
## varietyNE87512    0.631  0.614  0.614  0.624  0.619  0.633    0.619    0.648   
## varietyNE87513    0.633  0.624  0.614  0.634  0.647  0.629    0.618    0.611   
## varietyNE87522    0.627  0.630  0.619  0.624  0.625  0.627    0.626    0.609   
## varietyNE87612    0.618  0.601  0.619  0.611  0.609  0.618    0.622    0.608   
## varietyNE87613    0.635  0.618  0.622  0.626  0.626  0.633    0.619    0.613   
## varietyNE87615    0.647  0.624  0.626  0.628  0.631  0.636    0.623    0.637   
## varietyNE87619    0.661  0.621  0.633  0.638  0.627  0.640    0.626    0.618   
## varietyNE87627    0.641  0.624  0.624  0.643  0.632  0.638    0.627    0.616   
## varietyNORKAN     0.640  0.620  0.658  0.630  0.624  0.630    0.628    0.644   
## varietyREDLAND    0.627  0.621  0.634  0.647  0.616  0.632    0.621    0.622   
## varietyROUGHRIDER 0.643  0.617  0.620  0.627  0.623  0.649    0.630    0.622   
## varietySCOUT66    0.636  0.617  0.626  0.628  0.623  0.632    0.625    0.635   
## varietySIOUXLAND  0.662  0.645  0.616  0.639  0.640  0.644    0.629    0.608   
## varietyTAM107     0.627  0.651  0.617  0.644  0.629  0.634    0.623    0.607   
## varietyTAM200     0.637  0.638  0.650  0.631  0.652  0.628    0.617    0.611   
## varietyVONA       0.645  0.614  0.620  0.625  0.618  0.651    0.625    0.624   
##                   vNE8343 vNE8349 vNE83T vNE845 vNE855 vNE856 vNE864 vNE86501
## varietyBRULE                                                                 
## varietyBUCKSKIN                                                              
## varietyCENTURA                                                               
## varietyCENTURK78                                                             
## varietyCHEYENNE                                                              
## varietyCODY                                                                  
## varietyCOLT                                                                  
## varietyGAGE                                                                  
## varietyHOMESTEAD                                                             
## varietyKS831374                                                              
## varietyLANCER                                                                
## varietyLANCOTA                                                               
## varietyNE83404                                                               
## varietyNE83406                                                               
## varietyNE83407                                                               
## varietyNE83432                                                               
## varietyNE83498    0.663                                                      
## varietyNE83T12    0.658   0.644                                              
## varietyNE84557    0.659   0.654   0.657                                      
## varietyNE85556    0.657   0.639   0.642  0.649                               
## varietyNE85623    0.647   0.636   0.644  0.639  0.668                        
## varietyNE86482    0.619   0.618   0.623  0.621  0.631  0.644                 
## varietyNE86501    0.627   0.635   0.631  0.632  0.634  0.623  0.627          
## varietyNE86503    0.636   0.635   0.641  0.635  0.647  0.635  0.647  0.655   
## varietyNE86507    0.646   0.641   0.660  0.646  0.650  0.639  0.626  0.640   
## varietyNE86509    0.636   0.635   0.639  0.650  0.659  0.658  0.624  0.638   
## varietyNE86527    0.634   0.634   0.638  0.635  0.641  0.657  0.630  0.620   
## varietyNE86582    0.646   0.643   0.645  0.640  0.639  0.647  0.624  0.626   
## varietyNE86606    0.639   0.640   0.645  0.660  0.642  0.641  0.630  0.629   
## varietyNE86607    0.636   0.658   0.641  0.634  0.633  0.631  0.627  0.631   
## varietyNE86T666   0.640   0.652   0.662  0.633  0.642  0.646  0.627  0.638   
## varietyNE87403    0.640   0.642   0.652  0.632  0.641  0.659  0.619  0.623   
## varietyNE87408    0.644   0.627   0.650  0.631  0.631  0.636  0.618  0.619   
## varietyNE87409    0.649   0.635   0.668  0.635  0.639  0.640  0.626  0.624   
## varietyNE87446    0.639   0.644   0.648  0.632  0.639  0.638  0.653  0.636   
## varietyNE87451    0.657   0.633   0.653  0.635  0.637  0.647  0.632  0.629   
## varietyNE87457    0.640   0.635   0.654  0.659  0.638  0.637  0.624  0.631   
## varietyNE87463    0.641   0.640   0.641  0.634  0.636  0.633  0.623  0.627   
## varietyNE87499    0.657   0.646   0.652  0.641  0.641  0.637  0.625  0.629   
## varietyNE87512    0.653   0.644   0.639  0.630  0.633  0.633  0.613  0.621   
## varietyNE87513    0.634   0.635   0.664  0.629  0.629  0.626  0.625  0.637   
## varietyNE87522    0.628   0.629   0.633  0.650  0.635  0.623  0.616  0.657   
## varietyNE87612    0.616   0.618   0.623  0.622  0.630  0.619  0.624  0.611   
## varietyNE87613    0.640   0.661   0.644  0.635  0.634  0.631  0.625  0.649   
## varietyNE87615    0.638   0.635   0.639  0.635  0.658  0.638  0.623  0.649   
## varietyNE87619    0.664   0.660   0.646  0.641  0.639  0.638  0.626  0.633   
## varietyNE87627    0.641   0.641   0.660  0.638  0.642  0.646  0.623  0.637   
## varietyNORKAN     0.643   0.636   0.650  0.642  0.650  0.646  0.626  0.626   
## varietyREDLAND    0.646   0.628   0.629  0.629  0.625  0.623  0.614  0.631   
## varietyROUGHRIDER 0.653   0.663   0.643  0.639  0.644  0.642  0.618  0.624   
## varietySCOUT66    0.644   0.653   0.650  0.644  0.641  0.650  0.618  0.625   
## varietySIOUXLAND  0.631   0.634   0.642  0.628  0.634  0.632  0.623  0.640   
## varietyTAM107     0.629   0.626   0.632  0.650  0.632  0.626  0.613  0.636   
## varietyTAM200     0.638   0.640   0.649  0.652  0.656  0.636  0.649  0.656   
## varietyVONA       0.639   0.638   0.641  0.632  0.638  0.635  0.613  0.621   
##                   vNE86503 vNE86507 vNE86509 vNE8652 vNE8658 vNE86606 vNE86607
## varietyBRULE                                                                  
## varietyBUCKSKIN                                                               
## varietyCENTURA                                                                
## varietyCENTURK78                                                              
## varietyCHEYENNE                                                               
## varietyCODY                                                                   
## varietyCOLT                                                                   
## varietyGAGE                                                                   
## varietyHOMESTEAD                                                              
## varietyKS831374                                                               
## varietyLANCER                                                                 
## varietyLANCOTA                                                                
## varietyNE83404                                                                
## varietyNE83406                                                                
## varietyNE83407                                                                
## varietyNE83432                                                                
## varietyNE83498                                                                
## varietyNE83T12                                                                
## varietyNE84557                                                                
## varietyNE85556                                                                
## varietyNE85623                                                                
## varietyNE86482                                                                
## varietyNE86501                                                                
## varietyNE86503                                                                
## varietyNE86507    0.659                                                       
## varietyNE86509    0.651    0.659                                              
## varietyNE86527    0.634    0.649    0.644                                     
## varietyNE86582    0.661    0.644    0.642    0.659                            
## varietyNE86606    0.642    0.644    0.667    0.651   0.668                    
## varietyNE86607    0.639    0.638    0.641    0.635   0.647   0.663            
## varietyNE86T666   0.639    0.639    0.641    0.633   0.645   0.637    0.650   
## varietyNE87403    0.635    0.641    0.648    0.636   0.643   0.634    0.631   
## varietyNE87408    0.654    0.632    0.632    0.630   0.660   0.635    0.627   
## varietyNE87409    0.636    0.644    0.634    0.644   0.641   0.636    0.636   
## varietyNE87446    0.652    0.639    0.640    0.633   0.643   0.642    0.648   
## varietyNE87451    0.642    0.642    0.637    0.653   0.653   0.640    0.638   
## varietyNE87457    0.642    0.651    0.661    0.641   0.644   0.661    0.640   
## varietyNE87463    0.646    0.665    0.640    0.640   0.673   0.662    0.641   
## varietyNE87499    0.646    0.651    0.642    0.637   0.665   0.644    0.646   
## varietyNE87512    0.637    0.647    0.639    0.629   0.639   0.632    0.629   
## varietyNE87513    0.635    0.635    0.636    0.626   0.632   0.634    0.643   
## varietyNE87522    0.633    0.633    0.640    0.629   0.628   0.634    0.625   
## varietyNE87612    0.621    0.631    0.616    0.628   0.627   0.623    0.623   
## varietyNE87613    0.635    0.650    0.633    0.638   0.638   0.637    0.642   
## varietyNE87615    0.640    0.642    0.642    0.642   0.643   0.643    0.635   
## varietyNE87619    0.650    0.644    0.637    0.641   0.668   0.656    0.647   
## varietyNE87627    0.641    0.644    0.647    0.642   0.644   0.663    0.645   
## varietyNORKAN     0.637    0.638    0.639    0.641   0.647   0.640    0.630   
## varietyREDLAND    0.629    0.632    0.628    0.625   0.632   0.626    0.622   
## varietyROUGHRIDER 0.637    0.675    0.642    0.662   0.649   0.651    0.656   
## varietySCOUT66    0.637    0.643    0.660    0.660   0.648   0.650    0.635   
## varietySIOUXLAND  0.637    0.635    0.638    0.626   0.638   0.642    0.669   
## varietyTAM107     0.633    0.640    0.656    0.632   0.628   0.632    0.627   
## varietyTAM200     0.647    0.656    0.640    0.635   0.632   0.640    0.631   
## varietyVONA       0.631    0.661    0.633    0.655   0.642   0.640    0.642   
##                   vNE86T vNE87403 vNE87408 vNE87409 vNE8744 vNE87451 vNE87457
## varietyBRULE                                                                 
## varietyBUCKSKIN                                                              
## varietyCENTURA                                                               
## varietyCENTURK78                                                             
## varietyCHEYENNE                                                              
## varietyCODY                                                                  
## varietyCOLT                                                                  
## varietyGAGE                                                                  
## varietyHOMESTEAD                                                             
## varietyKS831374                                                              
## varietyLANCER                                                                
## varietyLANCOTA                                                               
## varietyNE83404                                                               
## varietyNE83406                                                               
## varietyNE83407                                                               
## varietyNE83432                                                               
## varietyNE83498                                                               
## varietyNE83T12                                                               
## varietyNE84557                                                               
## varietyNE85556                                                               
## varietyNE85623                                                               
## varietyNE86482                                                               
## varietyNE86501                                                               
## varietyNE86503                                                               
## varietyNE86507                                                               
## varietyNE86509                                                               
## varietyNE86527                                                               
## varietyNE86582                                                               
## varietyNE86606                                                               
## varietyNE86607                                                               
## varietyNE86T666                                                              
## varietyNE87403    0.684                                                      
## varietyNE87408    0.645  0.660                                               
## varietyNE87409    0.641  0.646    0.657                                      
## varietyNE87446    0.649  0.651    0.647    0.662                             
## varietyNE87451    0.644  0.642    0.661    0.677    0.665                    
## varietyNE87457    0.639  0.657    0.643    0.651    0.648   0.658            
## varietyNE87463    0.639  0.642    0.636    0.643    0.645   0.649    0.663   
## varietyNE87499    0.643  0.643    0.638    0.663    0.645   0.648    0.655   
## varietyNE87512    0.646  0.669    0.641    0.636    0.652   0.634    0.645   
## varietyNE87513    0.636  0.632    0.627    0.652    0.647   0.636    0.639   
## varietyNE87522    0.632  0.626    0.619    0.625    0.626   0.628    0.637   
## varietyNE87612    0.628  0.615    0.619    0.624    0.618   0.620    0.641   
## varietyNE87613    0.658  0.635    0.624    0.631    0.634   0.634    0.634   
## varietyNE87615    0.656  0.636    0.629    0.638    0.633   0.637    0.637   
## varietyNE87619    0.639  0.633    0.635    0.640    0.639   0.646    0.639   
## varietyNE87627    0.659  0.641    0.634    0.649    0.643   0.641    0.651   
## varietyNORKAN     0.642  0.647    0.646    0.637    0.637   0.636    0.646   
## varietyREDLAND    0.622  0.624    0.625    0.623    0.625   0.624    0.632   
## varietyROUGHRIDER 0.643  0.642    0.630    0.640    0.637   0.639    0.642   
## varietySCOUT66    0.645  0.662    0.634    0.637    0.640   0.635    0.641   
## varietySIOUXLAND  0.642  0.628    0.626    0.632    0.656   0.652    0.635   
## varietyTAM107     0.629  0.626    0.619    0.625    0.629   0.625    0.635   
## varietyTAM200     0.641  0.635    0.628    0.634    0.636   0.633    0.638   
## varietyVONA       0.637  0.636    0.628    0.635    0.631   0.635    0.637   
##                   vNE8746 vNE8749 vNE87512 vNE87513 vNE8752 vNE87612 vNE87613
## varietyBRULE                                                                 
## varietyBUCKSKIN                                                              
## varietyCENTURA                                                               
## varietyCENTURK78                                                             
## varietyCHEYENNE                                                              
## varietyCODY                                                                  
## varietyCOLT                                                                  
## varietyGAGE                                                                  
## varietyHOMESTEAD                                                             
## varietyKS831374                                                              
## varietyLANCER                                                                
## varietyLANCOTA                                                               
## varietyNE83404                                                               
## varietyNE83406                                                               
## varietyNE83407                                                               
## varietyNE83432                                                               
## varietyNE83498                                                               
## varietyNE83T12                                                               
## varietyNE84557                                                               
## varietyNE85556                                                               
## varietyNE85623                                                               
## varietyNE86482                                                               
## varietyNE86501                                                               
## varietyNE86503                                                               
## varietyNE86507                                                               
## varietyNE86509                                                               
## varietyNE86527                                                               
## varietyNE86582                                                               
## varietyNE86606                                                               
## varietyNE86607                                                               
## varietyNE86T666                                                              
## varietyNE87403                                                               
## varietyNE87408                                                               
## varietyNE87409                                                               
## varietyNE87446                                                               
## varietyNE87451                                                               
## varietyNE87457                                                               
## varietyNE87463                                                               
## varietyNE87499    0.672                                                      
## varietyNE87512    0.652   0.664                                              
## varietyNE87513    0.637   0.651   0.650                                      
## varietyNE87522    0.627   0.635   0.633    0.650                             
## varietyNE87612    0.630   0.627   0.614    0.609    0.609                    
## varietyNE87613    0.639   0.638   0.631    0.631    0.633   0.662            
## varietyNE87615    0.642   0.640   0.629    0.631    0.647   0.631    0.658   
## varietyNE87619    0.663   0.665   0.633    0.635    0.629   0.625    0.656   
## varietyNE87627    0.645   0.646   0.635    0.659    0.636   0.619    0.645   
## varietyNORKAN     0.639   0.657   0.639    0.640    0.649   0.620    0.633   
## varietyREDLAND    0.629   0.634   0.624    0.628    0.633   0.609    0.625   
## varietyROUGHRIDER 0.652   0.647   0.658    0.629    0.627   0.622    0.641   
## varietySCOUT66    0.639   0.650   0.642    0.650    0.632   0.616    0.644   
## varietySIOUXLAND  0.636   0.633   0.624    0.630    0.630   0.614    0.632   
## varietyTAM107     0.629   0.634   0.628    0.636    0.651   0.606    0.629   
## varietyTAM200     0.631   0.636   0.629    0.632    0.652   0.619    0.662   
## varietyVONA       0.664   0.638   0.642    0.625    0.625   0.625    0.639   
##                   vNE87615 vNE87619 vNE8762 vNORKA vREDLA vROUGH vSCOUT vSIOUX
## varietyBRULE                                                                  
## varietyBUCKSKIN                                                               
## varietyCENTURA                                                                
## varietyCENTURK78                                                              
## varietyCHEYENNE                                                               
## varietyCODY                                                                   
## varietyCOLT                                                                   
## varietyGAGE                                                                   
## varietyHOMESTEAD                                                              
## varietyKS831374                                                               
## varietyLANCER                                                                 
## varietyLANCOTA                                                                
## varietyNE83404                                                                
## varietyNE83406                                                                
## varietyNE83407                                                                
## varietyNE83432                                                                
## varietyNE83498                                                                
## varietyNE83T12                                                                
## varietyNE84557                                                                
## varietyNE85556                                                                
## varietyNE85623                                                                
## varietyNE86482                                                                
## varietyNE86501                                                                
## varietyNE86503                                                                
## varietyNE86507                                                                
## varietyNE86509                                                                
## varietyNE86527                                                                
## varietyNE86582                                                                
## varietyNE86606                                                                
## varietyNE86607                                                                
## varietyNE86T666                                                               
## varietyNE87403                                                                
## varietyNE87408                                                                
## varietyNE87409                                                                
## varietyNE87446                                                                
## varietyNE87451                                                                
## varietyNE87457                                                                
## varietyNE87463                                                                
## varietyNE87499                                                                
## varietyNE87512                                                                
## varietyNE87513                                                                
## varietyNE87522                                                                
## varietyNE87612                                                                
## varietyNE87613                                                                
## varietyNE87615                                                                
## varietyNE87619    0.659                                                       
## varietyNE87627    0.660    0.662                                              
## varietyNORKAN     0.656    0.640    0.641                                     
## varietyREDLAND    0.632    0.638    0.629   0.650                             
## varietyROUGHRIDER 0.639    0.645    0.645   0.636  0.623                      
## varietySCOUT66    0.640    0.642    0.647   0.660  0.627  0.651               
## varietySIOUXLAND  0.632    0.636    0.637   0.627  0.622  0.641  0.626        
## varietyTAM107     0.634    0.629    0.645   0.632  0.650  0.627  0.631  0.629 
## varietyTAM200     0.648    0.639    0.644   0.649  0.627  0.635  0.638  0.628 
## varietyVONA       0.640    0.637    0.642   0.634  0.624  0.682  0.636  0.647 
##                   vTAM10 vTAM20
## varietyBRULE                   
## varietyBUCKSKIN                
## varietyCENTURA                 
## varietyCENTURK78               
## varietyCHEYENNE                
## varietyCODY                    
## varietyCOLT                    
## varietyGAGE                    
## varietyHOMESTEAD               
## varietyKS831374                
## varietyLANCER                  
## varietyLANCOTA                 
## varietyNE83404                 
## varietyNE83406                 
## varietyNE83407                 
## varietyNE83432                 
## varietyNE83498                 
## varietyNE83T12                 
## varietyNE84557                 
## varietyNE85556                 
## varietyNE85623                 
## varietyNE86482                 
## varietyNE86501                 
## varietyNE86503                 
## varietyNE86507                 
## varietyNE86509                 
## varietyNE86527                 
## varietyNE86582                 
## varietyNE86606                 
## varietyNE86607                 
## varietyNE86T666                
## varietyNE87403                 
## varietyNE87408                 
## varietyNE87409                 
## varietyNE87446                 
## varietyNE87451                 
## varietyNE87457                 
## varietyNE87463                 
## varietyNE87499                 
## varietyNE87512                 
## varietyNE87513                 
## varietyNE87522                 
## varietyNE87612                 
## varietyNE87613                 
## varietyNE87615                 
## varietyNE87619                 
## varietyNE87627                 
## varietyNORKAN                  
## varietyREDLAND                 
## varietyROUGHRIDER              
## varietySCOUT66                 
## varietySIOUXLAND               
## varietyTAM107                  
## varietyTAM200     0.638        
## varietyVONA       0.642  0.631 
## 
## Standardized residuals:
##        Min         Q1        Med         Q3        Max 
## -3.1257540 -0.1697128  0.3588903  0.8020775  2.0309340 
## 
## Residual standard error: 7.410598 
## Degrees of freedom: 224 total; 168 residual

#esta es una gran mejora y el AIC disminuyo de 1354.742 a 1185.863. El rango y el nugget se aproximaron al estimado visual.

#se pude tambien probar un modelo cuadratico racional (corRatio), que necesita un estimado  de la distancia a la cual  el semivariograma es (1+ nugget)/2 = 1.2/2 = 0.6 , y también un estimado del nugget, una estimación visual da cerca de 12.5. 

model6 <- update(model4,
corr=corRatio(c(12.5,0.2),form=~latitude+longitude,nugget=T))

#usamos anova para comparar los dos modelos espaciales

anova(model5,model6)

##        Model df      AIC      BIC    logLik
## model5     1 59 1185.863 1370.177 -533.9315
## model6     2 59 1183.278 1367.592 -532.6389

#el modelo cuadratico racional tiene un mejor AIC y por tanto es preferible sobre el modelo espacial esférico, 

#para probrar la significancia de los parámetros de correlación espacial, debemos comparar el modelo 6 on el modelo 4 (el cual asume errores espaciales independientes)

anova(model4,model6)

##        Model df      AIC      BIC    logLik   Test L.Ratio p-value
## model4     1 57 1354.742 1532.808 -620.3709                       
## model6     2 59 1183.278 1367.592 -532.6389 1 vs 2 175.464  <.0001

#los dos grados de libertad extra están claramente justificados, toca verificar la adecuación del modelo corRatio. Se hace al ver el variograma de la muestra, para los residuales normalizados del modelo 6

plot(Variogram(model6,resType="n"))

#o hay patrón en el gráfico del variograma, asi que consideramos que el cuadratico racional es adecuado.

# para revisar la constancia de la varianza podemos graficar los residuales normalizados contra los valores ajustados

plot(model6,resid( ., type="n")~fitted(.),abline=0)

#y el gráfico de normalidad es obtenido de la manera usual

qqnorm(model6,~resid(.,type="n"))


#el modelo luce bien

#el siguiente paso es investigar la significancia de cualquier diferencia entre las variedades, 

model7 <- update(model6,model=yield~variety)
anova(model7)

## Denom. DF: 168 
##             numDF   F-value p-value
## (Intercept)     1 30.399419  <.0001
## variety        55  1.850939  0.0015

#la diferencia entre variedades ahora parece ser altamente significatvia. Contrastes especificos entre variedades pueden ser llevado a cabo por el agrumento "L" del anova. Supongamos que queremos comparar los rendimientos medios de la primera y tercer variedad. Para esto establecemos un vector de os coeficientes de contraste c(-1,0,1) y aplicamos el contraste:

anova(model6,L=c(-1,0,1))

## Denom. DF: 168 
##  F-test for linear combination(s)
## varietyARAPAHOE varietyBUCKSKIN 
##              -1               1 
##   numDF  F-value p-value
## 1     1 7.696728  0.0062

#usamos el modelo 6 (con tadas las medias de variedad) no el moedelo 7. Las variedades Arapahoe y Buckskin, presentan unas diferencias altamente significativas en las medias del rendimiento.