Vamos usar essas pacotes:

library(tidyverse)
library(readxl)
library(vegan)
library(geodist)
library(ecodist)
library(rmarkdown)
library(hillR)

Base de dados

O objetivo do trabalho proposto é investigar a montagem de comunidades em fases iniciais de regeneração da Caatinga. A nossa base de dados é:

geral<-read_excel("data_inext_geral.xlsx")

geral %>% 
  replace(is.na(.),0) %>% 
  rowwise() %>% 
  mutate(Anos_2_4C=sum(c(`4_1`, `4_2`, `4_3`, `4_4`)),
         Anos_2_5C=sum(c(`5_1`, `5_2`, `5_3`, `5_4`)),
         Anos_2_8C=sum(c(`8_1`, `8_2`, `8_3`, `8_4`)),
         Anos_2_9C=sum(c(`9_1`, `9_2`, `9_3`, `9_4`))) %>% 
  select(especie, `4C`, `5C`, `8C`, `9C`, Anos_2_4C, Anos_2_5C, Anos_2_8C, Anos_2_9C) %>%
  pivot_longer(!especie, names_to = "parcelas", values_to = "abund") %>% 
  pivot_wider(names_from = especie, values_from =abund, values_fn = sum)->Comp_geral_0_a_2_anos

paged_table(Comp_geral_0_a_2_anos)

As parcelas com somente “C” no final são referentes ao tempo 0 - antes do CQ, e as demais são após. Para cumprir nosso objetivo, vamos primeiro analisar as parcelas composicionalmente.

Análises Prévias

A título de identificar composionalmente as áreas de estudo para identificar se seria possível realizar esse estudo, fiz algumas análises para explorar a composição dos dados. Além disso, como nosso esforço amostral foi menor do que o de Bezerra et al., (2022). Portanto, utilizei o sample coverage acima de 80% como critério para poder generalizar os dados coletados para a parcela inteira.

dados_nmds <- read_excel("dados_nmds.xltx")

dados_nmds %>% 
  #colnames()
  mutate(`?`=NULL,
         `(vazio)`=NULL) %>% 
  filter(bloco!="6" & bloco!= "7" &
           tratamento!="controle") %>% 
  replace(is.na(.),0)-> dados_nmds_01

NMDS2 <- metaMDS(dados_nmds_01[,c(-1:-3)], k=2, distance = "bray")
## Square root transformation
## Wisconsin double standardization
## Run 0 stress 0 
## Run 1 stress 0 
## ... Procrustes: rmse 0.2757989  max resid 0.4603016 
## Run 2 stress 0 
## ... Procrustes: rmse 0.2918649  max resid 0.4976017 
## Run 3 stress 0 
## ... Procrustes: rmse 0.2123653  max resid 0.2705756 
## Run 4 stress 0 
## ... Procrustes: rmse 0.08490994  max resid 0.1201544 
## Run 5 stress 0 
## ... Procrustes: rmse 0.2417748  max resid 0.3985787 
## Run 6 stress 8.670322e-05 
## ... Procrustes: rmse 0.3468156  max resid 0.5638679 
## Run 7 stress 0 
## ... Procrustes: rmse 0.09727989  max resid 0.1425041 
## Run 8 stress 0 
## ... Procrustes: rmse 0.174533  max resid 0.2771672 
## Run 9 stress 0 
## ... Procrustes: rmse 0.2373527  max resid 0.3917607 
## Run 10 stress 0 
## ... Procrustes: rmse 0.1534266  max resid 0.218042 
## Run 11 stress 0 
## ... Procrustes: rmse 0.3386142  max resid 0.5521031 
## Run 12 stress 0 
## ... Procrustes: rmse 0.2848592  max resid 0.3916085 
## Run 13 stress 0 
## ... Procrustes: rmse 0.2336676  max resid 0.3734939 
## Run 14 stress 0 
## ... Procrustes: rmse 0.2662608  max resid 0.4447605 
## Run 15 stress 0 
## ... Procrustes: rmse 0.1323121  max resid 0.1847156 
## Run 16 stress 0 
## ... Procrustes: rmse 0.2356345  max resid 0.3012682 
## Run 17 stress 0 
## ... Procrustes: rmse 0.2139328  max resid 0.3392743 
## Run 18 stress 0 
## ... Procrustes: rmse 0.2438955  max resid 0.3974282 
## Run 19 stress 0 
## ... Procrustes: rmse 0.1768634  max resid 0.2778984 
## Run 20 stress 0 
## ... Procrustes: rmse 0.1357109  max resid 0.1997182 
## *** No convergence -- monoMDS stopping criteria:
##     20: stress < smin

NMDS_data<- data.frame(dados_nmds_01$bloco, dados_nmds_01$parcela, dados_nmds_01$tratamento, NMDS2$points)
#NMDS_data %>% 
#  colnames()
NMDS_data <- rename(NMDS_data, "bloco"=dados_nmds_01.bloco,
                    "parcela"=dados_nmds_01.parcela,
                    "tratamento"=dados_nmds_01.tratamento,
                    "MDS1"=MDS1, "MDS2"=MDS2)
NMDS_data %>% 
  filter(parcela=="B") %>%
  mutate(bloco=as.factor(bloco)) %>% 
  ggplot(aes(MDS1, MDS2, color=bloco))+
  geom_point(size=3)+
  scale_color_discrete(name="Blocos", 
                       labels=c("4", "5", "6", "7", "8", "9")) %>% 
  labs(caption = NMDS2$stress)


# testar a cobertura das nossas amostraas
library(entropart)

Mc_PI<-MetaCommunity(t(Comp_geral_0_a_2_anos[,-1]))
Mc_PI$SampleCoverage.communities
##        P1        P2        P3        P4        P5        P6        P7        P8 
## 0.9961240 0.9899363 0.9876114 0.9923077 0.9863908 0.9815756 0.9794368 0.9791130

Análises Exploratórias

Calculamos a diversidade taxonômica das nossas áreas usando hills

hill_taxa_parti(Comp_geral_0_a_2_anos[,-1], q = 0)->Div0
paged_table(Div0)

hill_taxa_parti(Comp_geral_0_a_2_anos[,-1], q = 1)->Div1
paged_table(Div1)

hill_taxa_parti(Comp_geral_0_a_2_anos[,-1], q = 2)->Div2
paged_table(Div2)

# Don't run
#hill_taxa(Comp_geral_0_a_2_anos[,-1], q = 0)->xc
#hill_taxa(Comp_geral_0_a_2_anos[,-1], q = 1)->xq1
#hill_taxa(Comp_geral_0_a_2_anos[,-1], q = 2)->xq2
#data.frame(xc, xq1, xq2) %>% 
#  rename(q0="xc", q1="xq1", q2="xq2") %>% 
#  mutate(site=Comp_geral_0_a_2_anos$parcelas,
#         yr=as.factor(c(rep(0, 4), rep(2, 4))))->testando


library(iNEXT)

Comp_geral_0_a_2_anos %>%
  pivot_longer(!parcelas, names_to = "parcelas", values_to = "abund",
               names_repair="unique") %>%
  rename("parcelas"=parcelas...1, "species"=parcelas...2) %>%
  pivot_wider(names_from = parcelas, values_from =abund, values_fn = sum) %>% 
  rename("Ano0_4C"=`4C`, "Ano0_5C"=`5C`,
         "Ano0_8C"=`8C`, "Ano0_9C"=`9C`)->inext_data

Ano0_4C <- c(105, sort(inext_data$Ano0_4C[inext_data$Ano0_4C>0], decreasing = TRUE))
Ano0_5C <- c(105, sort(inext_data$Ano0_5C[inext_data$Ano0_5C>0], decreasing = TRUE))
Ano0_8C <- c(105, sort(inext_data$Ano0_8C[inext_data$Ano0_8C>0], decreasing = TRUE))
Ano0_9C <- c(105, sort(inext_data$Ano0_9C[inext_data$Ano0_9C>0], decreasing = TRUE))

list_inext <- list(
  Ano0_4C = Ano0_4C,
  Ano0_5C = Ano0_5C,
  Ano0_8C = Ano0_8C,
  Ano0_9C = Ano0_9C
  )

iNEXT(x=list_inext, q=c(0, 1, 2), datatype="abundance")->inext_result

inext_result[["iNextEst"]][["Ano0_4C"]]->com_Ano0_4C
com_Ano0_4C %>% 
  mutate(site=rep("Ano0_4C", 120),
         year=rep("0", 120))->com_Ano0_4C

inext_result[["iNextEst"]][["Ano0_5C"]]->com_Ano0_5C
com_Ano0_5C %>% 
  mutate(site=rep("Ano0_5C", 120),
         year=rep("0", 120))->com_Ano0_5C

inext_result[["iNextEst"]][["Ano0_8C"]]->com_Ano0_8C
com_Ano0_8C %>% 
  mutate(site=rep("Ano0_8C", 120),
         year=rep("0", 120))->com_Ano0_8C

inext_result[["iNextEst"]][["Ano0_9C"]]->com_Ano0_9C
com_Ano0_9C %>% 
  mutate(site=rep("Ano0_9C", 120),
         year=rep("0", 120))->com_Ano0_9C

full_join(com_Ano0_4C, com_Ano0_5C) %>% 
  full_join(com_Ano0_8C) %>% 
  full_join(com_Ano0_9C) %>% 
  filter(method=="interpolated") %>% 
  select(year, site, order, qD) %>%
  mutate(order=as.factor(order)) -> Ano0_diversity


Ano2_4C <- c(105, sort(inext_data$Anos_2_4C[inext_data$Anos_2_4C>0], decreasing = TRUE))
Ano2_5C <- c(105, sort(inext_data$Anos_2_5C[inext_data$Anos_2_5C>0], decreasing = TRUE))
Ano2_8C <- c(105, sort(inext_data$Anos_2_8C[inext_data$Anos_2_8C>0], decreasing = TRUE))
Ano2_9C <- c(105, sort(inext_data$Anos_2_9C[inext_data$Anos_2_9C>0], decreasing = TRUE))

list_inext_ano2 <- list(
  Ano2_4C = Ano2_4C,
  Ano2_5C = Ano2_5C,
  Ano2_8C = Ano2_8C,
  Ano2_9C = Ano2_9C
  )

iNEXT(x=list_inext_ano2, q=c(0, 1, 2), datatype="abundance")->inext_result_ano2

inext_result_ano2[["iNextEst"]][["Ano2_4C"]]->com_Ano2_4C
com_Ano2_4C %>% 
  mutate(site=rep("Ano2_4C", 120),
         year=rep("2", 120))->com_Ano2_4C

inext_result_ano2[["iNextEst"]][["Ano2_5C"]]->com_Ano2_5C
com_Ano2_5C %>% 
  mutate(site=rep("Ano2_5C", 120),
         year=rep("2", 120))->com_Ano2_5C

inext_result_ano2[["iNextEst"]][["Ano2_8C"]]->com_Ano2_8C
com_Ano2_8C %>% 
  mutate(site=rep("Ano2_8C", 120),
         year=rep("2", 120))->com_Ano2_8C

inext_result_ano2[["iNextEst"]][["Ano2_9C"]]->com_Ano2_9C
com_Ano2_9C %>% 
  mutate(site=rep("Ano2_9C", 120),
         year=rep("2", 120))->com_Ano2_9C

full_join(com_Ano2_4C, com_Ano2_5C) %>% 
  full_join(com_Ano2_8C) %>% 
  full_join(com_Ano2_9C) %>% 
  filter(method=="interpolated") %>% 
  select(year, site, order, qD) %>%
  mutate(order=as.factor(order)) ->Ano2_diversity

full_join(Ano0_diversity, Ano2_diversity)->div_interp

div_interp %>% 
  #str()
  mutate(year=as.factor(year),
         site=as.factor(site)) %>% 
  #glimpse()
  #head()
  pivot_wider(names_from = order, values_from =qD) %>%
  rename("div0"=`0`,"div1"=`1`,"div2"=`2`) %>% 
  unnest()->data_modelos

library(see)
library(performance)
glm(div0~year, data = data_modelos, family = "gaussian")->glm0
summary(glm0)
## 
## Call:
## glm(formula = div0 ~ year, family = "gaussian", data = data_modelos)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -22.240   -3.017    1.150    4.406   14.749  
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  23.2401     0.8405  27.650  < 2e-16 ***
## year2        -3.2341     1.1886  -2.721  0.00728 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for gaussian family taken to be 53.68951)
## 
##     Null deviance: 8450.9  on 151  degrees of freedom
## Residual deviance: 8053.4  on 150  degrees of freedom
## AIC: 1040.8
## 
## Number of Fisher Scoring iterations: 2
check_model(glm0)


glm(div1~year, data = data_modelos, family = "gaussian")->glm1
summary(glm1)
## 
## Call:
## glm(formula = div1 ~ year, family = "gaussian", data = data_modelos)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -8.6201  -0.8809  -0.0306   2.0284   2.9389  
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   8.2011     0.2758  29.737  < 2e-16 ***
## year2         1.4190     0.3900   3.638 0.000377 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for gaussian family taken to be 5.780288)
## 
##     Null deviance: 943.56  on 151  degrees of freedom
## Residual deviance: 867.04  on 150  degrees of freedom
## AIC: 702.02
## 
## Number of Fisher Scoring iterations: 2
check_model(glm1)


glm(div2~year, data = data_modelos, family = "gaussian")->glm2
summary(glm2)
## 
## Call:
## glm(formula = div2 ~ year, family = "gaussian", data = data_modelos)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -5.5452  -0.8135  -0.2119   1.0168   2.1338  
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   4.9499     0.1872  26.445  < 2e-16 ***
## year2         1.5953     0.2647   6.027 1.24e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for gaussian family taken to be 2.6627)
## 
##     Null deviance: 496.12  on 151  degrees of freedom
## Residual deviance: 399.40  on 150  degrees of freedom
## AIC: 584.2
## 
## Number of Fisher Scoring iterations: 2
check_model(glm2)

Análises Estatísticas

Reinventariamos as parcelas de CQ de Bezerra et al., (2022) - 4, 5, 8 e 9 após dois anos do distúrbio. Ou seja, em regeneração. E comparamos a composição entre ambas.

dist_geral_0_a_2_anos<-vegdist(Comp_geral_0_a_2_anos[,-1], method = "bray", binary = F)

group<- c(rep('Controle', 4), rep('Após 2 anos', 4))

permanova<-adonis(dist_geral_0_a_2_anos~group, permutations = 10000, pairwise=T)
permanova
## 
## Call:
## adonis(formula = dist_geral_0_a_2_anos ~ group, permutations = 10000,      pairwise = T) 
## 
## Permutation: free
## Number of permutations: 10000
## 
## Terms added sequentially (first to last)
## 
##           Df SumsOfSqs MeanSqs F.Model     R2 Pr(>F)  
## group      1   0.69552 0.69552  3.0348 0.3359 0.0302 *
## Residuals  6   1.37509 0.22918         0.6641         
## Total      7   2.07061                 1.0000         
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

beta_disp_data <- betadisper(dist_geral_0_a_2_anos, group, type = "centroid")
beta_disp_data
## 
##  Homogeneity of multivariate dispersions
## 
## Call: betadisper(d = dist_geral_0_a_2_anos, group = group, type =
## "centroid")
## 
## No. of Positive Eigenvalues: 7
## No. of Negative Eigenvalues: 0
## 
## Average distance to centroid:
## Após 2 anos    Controle 
##      0.4085      0.3892 
## 
## Eigenvalues for PCoA axes:
##    PCoA1    PCoA2    PCoA3    PCoA4    PCoA5    PCoA6    PCoA7 
## 0.782681 0.463281 0.329519 0.263944 0.160562 0.064754 0.005865

permutest(beta_disp_data, permutations = 999, pairwise = TRUE)
## 
## Permutation test for homogeneity of multivariate dispersions
## Permutation: free
## Number of permutations: 999
## 
## Response: Distances
##           Df  Sum Sq  Mean Sq      F N.Perm Pr(>F)
## Groups     1 0.00074 0.000740 0.0437    999  0.857
## Residuals  6 0.10159 0.016932                     
## 
## Pairwise comparisons:
## (Observed p-value below diagonal, permuted p-value above diagonal)
##             Após 2 anos Controle
## Após 2 anos                0.865
## Controle        0.84132

plot(beta_disp_data, hull = TRUE, ellipse = F,
     xlab="PCoA1", ylab="PCoA2", main = " ")

#points(beta_disp_data$centroids[,1:2], pch=20, cex=2, col=1:2)

boxplot(beta_disp_data, ylab = "Distância para o centroide", xlab="Parcelas")

beta_disp_data$distances
## [1] 0.3213738 0.2595527 0.3650654 0.6110029 0.3812003 0.2782095 0.4755027
## [8] 0.4990239

Com o intuito de entender em qual direção a compoisção das comunidades estão indo considerando sua (dis)similaridade inicial, utilizei a análise procruste e fiz um teste de permutação

Comp_geral_0_a_2_anos %>% 
  filter(parcelas==c("4C", "5C", "8C", "9C"))->ano_0
dist_ano_0<-vegdist(ano_0[,-1], method = "bray", binary = F)

Comp_geral_0_a_2_anos %>% 
  filter(parcelas==c("Anos_2_4C", "Anos_2_5C", "Anos_2_8C", "Anos_2_9C"))->ano_2
dist_ano_2<-vegdist(ano_2[,-1], method = "bray", binary = F)


nmds_0<- metaMDS(dist_ano_0, trymax = 1000)
## Run 0 stress 0 
## Run 1 stress 0 
## ... Procrustes: rmse 0.1074605  max resid 0.1794326 
## Run 2 stress 0 
## ... Procrustes: rmse 0.1185455  max resid 0.1625193 
## Run 3 stress 7.62023e-05 
## ... Procrustes: rmse 0.1958867  max resid 0.3238776 
## Run 4 stress 0 
## ... Procrustes: rmse 0.05228468  max resid 0.08066166 
## Run 5 stress 0 
## ... Procrustes: rmse 0.109296  max resid 0.1503559 
## Run 6 stress 0 
## ... Procrustes: rmse 0.1684064  max resid 0.2873286 
## Run 7 stress 0 
## ... Procrustes: rmse 0.1624985  max resid 0.2209921 
## Run 8 stress 0 
## ... Procrustes: rmse 0.05173622  max resid 0.0785351 
## Run 9 stress 0 
## ... Procrustes: rmse 0.1246087  max resid 0.1559198 
## Run 10 stress 0 
## ... Procrustes: rmse 0.1140922  max resid 0.1806846 
## Run 11 stress 0 
## ... Procrustes: rmse 0.0931171  max resid 0.1118254 
## Run 12 stress 0 
## ... Procrustes: rmse 0.1068038  max resid 0.1544107 
## Run 13 stress 0 
## ... Procrustes: rmse 0.2321341  max resid 0.2772565 
## Run 14 stress 0 
## ... Procrustes: rmse 0.1814704  max resid 0.3129956 
## Run 15 stress 0 
## ... Procrustes: rmse 0.1827635  max resid 0.3140131 
## Run 16 stress 0 
## ... Procrustes: rmse 0.08501908  max resid 0.1272748 
## Run 17 stress 8.969486e-05 
## ... Procrustes: rmse 0.178856  max resid 0.2942988 
## Run 18 stress 0 
## ... Procrustes: rmse 0.03625508  max resid 0.04819846 
## Run 19 stress 0 
## ... Procrustes: rmse 0.1652893  max resid 0.261917 
## Run 20 stress 9.82764e-05 
## ... Procrustes: rmse 0.1964437  max resid 0.3337713 
## Run 21 stress 0 
## ... Procrustes: rmse 0.09249173  max resid 0.1264143 
## Run 22 stress 0 
## ... Procrustes: rmse 0.09551039  max resid 0.1411489 
## Run 23 stress 0 
## ... Procrustes: rmse 0.1773257  max resid 0.2086973 
## Run 24 stress 0 
## ... Procrustes: rmse 0.1186636  max resid 0.1934278 
## Run 25 stress 0 
## ... Procrustes: rmse 0.1379946  max resid 0.1901905 
## Run 26 stress 0 
## ... Procrustes: rmse 0.1653415  max resid 0.2591369 
## Run 27 stress 0 
## ... Procrustes: rmse 0.06620031  max resid 0.09380126 
## Run 28 stress 0 
## ... Procrustes: rmse 0.09435951  max resid 0.1414318 
## Run 29 stress 0 
## ... Procrustes: rmse 0.2557863  max resid 0.3244601 
## Run 30 stress 0 
## ... Procrustes: rmse 0.1776251  max resid 0.2842381 
## Run 31 stress 0 
## ... Procrustes: rmse 0.08095828  max resid 0.1177775 
## Run 32 stress 0 
## ... Procrustes: rmse 0.1193847  max resid 0.169996 
## Run 33 stress 9.851182e-05 
## ... Procrustes: rmse 0.1804999  max resid 0.2741336 
## Run 34 stress 0 
## ... Procrustes: rmse 0.1853188  max resid 0.294299 
## Run 35 stress 0 
## ... Procrustes: rmse 0.155317  max resid 0.2169893 
## Run 36 stress 0 
## ... Procrustes: rmse 0.1905336  max resid 0.2492254 
## Run 37 stress 0 
## ... Procrustes: rmse 0.2625223  max resid 0.32063 
## Run 38 stress 0 
## ... Procrustes: rmse 0.1209292  max resid 0.1876638 
## Run 39 stress 8.045562e-05 
## ... Procrustes: rmse 0.2101744  max resid 0.3565697 
## Run 40 stress 0 
## ... Procrustes: rmse 0.008296387  max resid 0.01064712 
## Run 41 stress 0 
## ... Procrustes: rmse 0.2343557  max resid 0.2872688 
## Run 42 stress 0 
## ... Procrustes: rmse 0.178198  max resid 0.2806533 
## Run 43 stress 0 
## ... Procrustes: rmse 0.08955994  max resid 0.1285858 
## Run 44 stress 0 
## ... Procrustes: rmse 0.1979979  max resid 0.2458895 
## Run 45 stress 0 
## ... Procrustes: rmse 0.1133959  max resid 0.1901531 
## Run 46 stress 0 
## ... Procrustes: rmse 0.1776495  max resid 0.2970633 
## Run 47 stress 0 
## ... Procrustes: rmse 0.121691  max resid 0.1641822 
## Run 48 stress 0 
## ... Procrustes: rmse 0.1079861  max resid 0.1373512 
## Run 49 stress 0 
## ... Procrustes: rmse 0.06784239  max resid 0.09351869 
## Run 50 stress 8.386076e-05 
## ... Procrustes: rmse 0.207499  max resid 0.3524288 
## Run 51 stress 0 
## ... Procrustes: rmse 0.1244201  max resid 0.1703134 
## Run 52 stress 0 
## ... Procrustes: rmse 0.1436562  max resid 0.2399449 
## Run 53 stress 0 
## ... Procrustes: rmse 0.1934067  max resid 0.3274486 
## Run 54 stress 6.199671e-05 
## ... Procrustes: rmse 0.2086058  max resid 0.3552815 
## Run 55 stress 0 
## ... Procrustes: rmse 0.08907276  max resid 0.1186157 
## Run 56 stress 0 
## ... Procrustes: rmse 0.02416039  max resid 0.03561097 
## Run 57 stress 0 
## ... Procrustes: rmse 0.1076634  max resid 0.1614127 
## Run 58 stress 0 
## ... Procrustes: rmse 0.1112955  max resid 0.1557655 
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## Run 826 stress 0 
## ... Procrustes: rmse 0.1758071  max resid 0.2958224 
## Run 827 stress 0 
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## Run 828 stress 0 
## ... Procrustes: rmse 0.1675119  max resid 0.2228722 
## Run 829 stress 4.206002e-05 
## ... Procrustes: rmse 0.1903957  max resid 0.3232889 
## Run 830 stress 0 
## ... Procrustes: rmse 0.1043299  max resid 0.1452888 
## Run 831 stress 0 
## ... Procrustes: rmse 0.1111763  max resid 0.1595555 
## Run 832 stress 0 
## ... Procrustes: rmse 0.1967653  max resid 0.335691 
## Run 833 stress 0 
## ... Procrustes: rmse 0.2057877  max resid 0.3184164 
## Run 834 stress 0 
## ... Procrustes: rmse 0.1978673  max resid 0.3353645 
## Run 835 stress 0 
## ... Procrustes: rmse 0.2344994  max resid 0.285446 
## Run 836 stress 0 
## ... Procrustes: rmse 0.160189  max resid 0.2735756 
## Run 837 stress 0 
## ... Procrustes: rmse 0.1042655  max resid 0.1352677 
## Run 838 stress 0 
## ... Procrustes: rmse 0.1085549  max resid 0.1612057 
## Run 839 stress 0 
## ... Procrustes: rmse 0.2002791  max resid 0.3389617 
## Run 840 stress 0 
## ... Procrustes: rmse 0.1604776  max resid 0.2728278 
## Run 841 stress 0 
## ... Procrustes: rmse 0.1767847  max resid 0.3014724 
## Run 842 stress 0 
## ... Procrustes: rmse 0.1129822  max resid 0.1690398 
## Run 843 stress 0 
## ... Procrustes: rmse 0.2205853  max resid 0.2721233 
## Run 844 stress 0 
## ... Procrustes: rmse 0.2358942  max resid 0.2923918 
## Run 845 stress 0 
## ... Procrustes: rmse 0.1002803  max resid 0.1232907 
## Run 846 stress 0 
## ... Procrustes: rmse 0.1974408  max resid 0.2655454 
## Run 847 stress 0 
## ... Procrustes: rmse 0.2552421  max resid 0.3110221 
## Run 848 stress 0 
## ... Procrustes: rmse 0.08148836  max resid 0.09762566 
## Run 849 stress 0 
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## Run 850 stress 0 
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## Run 851 stress 0 
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## Run 852 stress 0 
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## Run 853 stress 0 
## ... Procrustes: rmse 0.07990851  max resid 0.1124827 
## Run 854 stress 0 
## ... Procrustes: rmse 0.1275007  max resid 0.1683499 
## Run 855 stress 0 
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## Run 856 stress 0 
## ... Procrustes: rmse 0.1192982  max resid 0.1596406 
## Run 857 stress 8.391896e-05 
## ... Procrustes: rmse 0.1890131  max resid 0.3049587 
## Run 858 stress 0 
## ... Procrustes: rmse 0.1061115  max resid 0.1617494 
## Run 859 stress 0 
## ... Procrustes: rmse 0.1976072  max resid 0.2940698 
## Run 860 stress 0 
## ... Procrustes: rmse 0.1099046  max resid 0.1499014 
## Run 861 stress 0 
## ... Procrustes: rmse 0.168537  max resid 0.2577382 
## Run 862 stress 3.181434e-05 
## ... Procrustes: rmse 0.2080459  max resid 0.3529385 
## Run 863 stress 0 
## ... Procrustes: rmse 0.1026138  max resid 0.1345294 
## Run 864 stress 8.680167e-05 
## ... Procrustes: rmse 0.2014923  max resid 0.3412998 
## Run 865 stress 0 
## ... Procrustes: rmse 0.2080019  max resid 0.2531327 
## Run 866 stress 0 
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## Run 867 stress 0 
## ... Procrustes: rmse 0.2314082  max resid 0.3125411 
## Run 868 stress 0 
## ... Procrustes: rmse 0.09257779  max resid 0.1289006 
## Run 869 stress 0 
## ... Procrustes: rmse 0.1642013  max resid 0.2244519 
## Run 870 stress 0 
## ... Procrustes: rmse 0.1347939  max resid 0.1855246 
## Run 871 stress 0 
## ... Procrustes: rmse 0.1883524  max resid 0.3003818 
## Run 872 stress 0 
## ... Procrustes: rmse 0.1174405  max resid 0.1894898 
## Run 873 stress 9.106276e-05 
## ... Procrustes: rmse 0.1988958  max resid 0.3401332 
## Run 874 stress 0 
## ... Procrustes: rmse 0.1069415  max resid 0.1526625 
## Run 875 stress 6.519598e-05 
## ... Procrustes: rmse 0.08160445  max resid 0.1291413 
## Run 876 stress 0 
## ... Procrustes: rmse 0.1439941  max resid 0.2042811 
## Run 877 stress 0 
## ... Procrustes: rmse 0.07201518  max resid 0.1182784 
## Run 878 stress 0 
## ... Procrustes: rmse 0.1899791  max resid 0.3224683 
## Run 879 stress 0 
## ... Procrustes: rmse 0.1185893  max resid 0.1869057 
## Run 880 stress 0 
## ... Procrustes: rmse 0.1377689  max resid 0.2031453 
## Run 881 stress 0 
## ... Procrustes: rmse 0.09402018  max resid 0.1120569 
## Run 882 stress 0 
## ... Procrustes: rmse 0.0746272  max resid 0.1255474 
## Run 883 stress 0 
## ... Procrustes: rmse 0.1813403  max resid 0.2850518 
## Run 884 stress 0 
## ... Procrustes: rmse 0.1020141  max resid 0.1296668 
## Run 885 stress 0 
## ... Procrustes: rmse 0.06405996  max resid 0.1042046 
## Run 886 stress 0 
## ... Procrustes: rmse 0.06528374  max resid 0.0929568 
## Run 887 stress 0 
## ... Procrustes: rmse 0.1213221  max resid 0.1412732 
## Run 888 stress 0 
## ... Procrustes: rmse 0.1602016  max resid 0.2701383 
## Run 889 stress 0 
## ... Procrustes: rmse 0.05435324  max resid 0.08725522 
## Run 890 stress 0 
## ... Procrustes: rmse 0.02607606  max resid 0.03794636 
## Run 891 stress 0 
## ... Procrustes: rmse 0.1318932  max resid 0.2010963 
## Run 892 stress 0 
## ... Procrustes: rmse 0.1509485  max resid 0.2077992 
## Run 893 stress 0 
## ... Procrustes: rmse 0.1483295  max resid 0.1978731 
## Run 894 stress 0 
## ... Procrustes: rmse 0.1892937  max resid 0.2997714 
## Run 895 stress 0 
## ... Procrustes: rmse 0.12914  max resid 0.1692145 
## Run 896 stress 0 
## ... Procrustes: rmse 0.08674304  max resid 0.1172038 
## Run 897 stress 0 
## ... Procrustes: rmse 0.2306638  max resid 0.3111762 
## Run 898 stress 0 
## ... Procrustes: rmse 0.130019  max resid 0.2033467 
## Run 899 stress 9.754085e-05 
## ... Procrustes: rmse 0.172372  max resid 0.2548739 
## Run 900 stress 0 
## ... Procrustes: rmse 0.06789419  max resid 0.07935174 
## Run 901 stress 0 
## ... Procrustes: rmse 0.1501795  max resid 0.2284964 
## Run 902 stress 0 
## ... Procrustes: rmse 0.1952814  max resid 0.3287208 
## Run 903 stress 0 
## ... Procrustes: rmse 0.158777  max resid 0.2539601 
## Run 904 stress 0 
## ... Procrustes: rmse 0.1669132  max resid 0.2518411 
## Run 905 stress 0 
## ... Procrustes: rmse 0.08535636  max resid 0.1359656 
## Run 906 stress 0 
## ... Procrustes: rmse 0.091141  max resid 0.1248613 
## Run 907 stress 0 
## ... Procrustes: rmse 0.1654379  max resid 0.2281467 
## Run 908 stress 0 
## ... Procrustes: rmse 0.1100984  max resid 0.1524679 
## Run 909 stress 0 
## ... Procrustes: rmse 0.1410808  max resid 0.2012927 
## Run 910 stress 0 
## ... Procrustes: rmse 0.1681111  max resid 0.2666483 
## Run 911 stress 0 
## ... Procrustes: rmse 0.1136155  max resid 0.1569719 
## Run 912 stress 0 
## ... Procrustes: rmse 0.08579733  max resid 0.1385 
## Run 913 stress 0 
## ... Procrustes: rmse 0.06488037  max resid 0.1011356 
## Run 914 stress 9.641546e-05 
## ... Procrustes: rmse 0.1800365  max resid 0.2721576 
## Run 915 stress 0 
## ... Procrustes: rmse 0.1380656  max resid 0.1985157 
## Run 916 stress 0 
## ... Procrustes: rmse 0.04545416  max resid 0.06528524 
## Run 917 stress 0 
## ... Procrustes: rmse 0.1196933  max resid 0.1797676 
## Run 918 stress 0 
## ... Procrustes: rmse 0.1659023  max resid 0.2153377 
## Run 919 stress 0 
## ... Procrustes: rmse 0.1460163  max resid 0.2235798 
## Run 920 stress 5.037588e-05 
## ... Procrustes: rmse 0.2221129  max resid 0.30632 
## Run 921 stress 0 
## ... Procrustes: rmse 0.1072939  max resid 0.1711047 
## Run 922 stress 0 
## ... Procrustes: rmse 0.05622792  max resid 0.08022603 
## Run 923 stress 0 
## ... Procrustes: rmse 0.1520415  max resid 0.1857611 
## Run 924 stress 0 
## ... Procrustes: rmse 0.0691361  max resid 0.08211009 
## Run 925 stress 0 
## ... Procrustes: rmse 0.1314061  max resid 0.1719482 
## Run 926 stress 0 
## ... Procrustes: rmse 0.2282619  max resid 0.3655915 
## Run 927 stress 0 
## ... Procrustes: rmse 0.05373877  max resid 0.05884258 
## Run 928 stress 0 
## ... Procrustes: rmse 0.2212144  max resid 0.355682 
## Run 929 stress 0 
## ... Procrustes: rmse 0.1127018  max resid 0.1528254 
## Run 930 stress 7.47436e-05 
## ... Procrustes: rmse 0.2093783  max resid 0.3544229 
## Run 931 stress 0 
## ... Procrustes: rmse 0.1357753  max resid 0.1824004 
## Run 932 stress 7.548801e-05 
## ... Procrustes: rmse 0.2052734  max resid 0.3457434 
## Run 933 stress 0 
## ... Procrustes: rmse 0.2111736  max resid 0.256934 
## Run 934 stress 0 
## ... Procrustes: rmse 0.1625265  max resid 0.2405877 
## Run 935 stress 0 
## ... Procrustes: rmse 0.1793783  max resid 0.267099 
## Run 936 stress 9.965684e-05 
## ... Procrustes: rmse 0.1495553  max resid 0.2093671 
## Run 937 stress 0 
## ... Procrustes: rmse 0.1144623  max resid 0.1907772 
## Run 938 stress 0 
## ... Procrustes: rmse 0.2022169  max resid 0.2533838 
## Run 939 stress 8.859814e-05 
## ... Procrustes: rmse 0.1968358  max resid 0.3079143 
## Run 940 stress 0 
## ... Procrustes: rmse 0.1343151  max resid 0.1910967 
## Run 941 stress 0 
## ... Procrustes: rmse 0.1040487  max resid 0.1449599 
## Run 942 stress 0 
## ... Procrustes: rmse 0.1439036  max resid 0.1900108 
## Run 943 stress 0 
## ... Procrustes: rmse 0.1441011  max resid 0.192297 
## Run 944 stress 0 
## ... Procrustes: rmse 0.1213357  max resid 0.1635469 
## Run 945 stress 9.546911e-05 
## ... Procrustes: rmse 0.2126771  max resid 0.3609619 
## Run 946 stress 0 
## ... Procrustes: rmse 0.1019011  max resid 0.1368001 
## Run 947 stress 0 
## ... Procrustes: rmse 0.1663472  max resid 0.2016123 
## Run 948 stress 0 
## ... Procrustes: rmse 0.1421913  max resid 0.2057548 
## Run 949 stress 0 
## ... Procrustes: rmse 0.06381044  max resid 0.09074989 
## Run 950 stress 0 
## ... Procrustes: rmse 0.1239047  max resid 0.1803061 
## Run 951 stress 0 
## ... Procrustes: rmse 0.09872257  max resid 0.144266 
## Run 952 stress 0 
## ... Procrustes: rmse 0.1509941  max resid 0.212917 
## Run 953 stress 0 
## ... Procrustes: rmse 0.05099448  max resid 0.08501765 
## Run 954 stress 0 
## ... Procrustes: rmse 0.1337666  max resid 0.2090792 
## Run 955 stress 0 
## ... Procrustes: rmse 0.129709  max resid 0.1743894 
## Run 956 stress 0 
## ... Procrustes: rmse 0.06480706  max resid 0.07965637 
## Run 957 stress 0 
## ... Procrustes: rmse 0.178231  max resid 0.2880385 
## Run 958 stress 0 
## ... Procrustes: rmse 0.1020914  max resid 0.13237 
## Run 959 stress 0 
## ... Procrustes: rmse 0.1189357  max resid 0.1597158 
## Run 960 stress 0 
## ... Procrustes: rmse 0.162752  max resid 0.2052627 
## Run 961 stress 0 
## ... Procrustes: rmse 0.100301  max resid 0.1463464 
## Run 962 stress 4.349162e-05 
## ... Procrustes: rmse 0.1956424  max resid 0.3357252 
## Run 963 stress 0 
## ... Procrustes: rmse 0.1638999  max resid 0.2291104 
## Run 964 stress 0 
## ... Procrustes: rmse 0.1819994  max resid 0.2429549 
## Run 965 stress 0 
## ... Procrustes: rmse 0.0937026  max resid 0.1388833 
## Run 966 stress 0 
## ... Procrustes: rmse 0.09102959  max resid 0.1323845 
## Run 967 stress 0 
## ... Procrustes: rmse 0.08162651  max resid 0.131428 
## Run 968 stress 0 
## ... Procrustes: rmse 0.1264997  max resid 0.1572579 
## Run 969 stress 0 
## ... Procrustes: rmse 0.1143801  max resid 0.1504298 
## Run 970 stress 0 
## ... Procrustes: rmse 0.155472  max resid 0.2291109 
## Run 971 stress 0 
## ... Procrustes: rmse 0.1083866  max resid 0.1459828 
## Run 972 stress 0 
## ... Procrustes: rmse 0.1038751  max resid 0.1382455 
## Run 973 stress 0 
## ... Procrustes: rmse 0.1261412  max resid 0.1753003 
## Run 974 stress 6.030289e-05 
## ... Procrustes: rmse 0.1102317  max resid 0.1569785 
## Run 975 stress 8.412609e-05 
## ... Procrustes: rmse 0.1856652  max resid 0.294277 
## Run 976 stress 0 
## ... Procrustes: rmse 0.08772029  max resid 0.12704 
## Run 977 stress 0 
## ... Procrustes: rmse 0.1524784  max resid 0.2602892 
## Run 978 stress 0 
## ... Procrustes: rmse 0.06789293  max resid 0.1008646 
## Run 979 stress 0 
## ... Procrustes: rmse 0.2084379  max resid 0.3547313 
## Run 980 stress 9.390683e-05 
## ... Procrustes: rmse 0.1786138  max resid 0.2649652 
## Run 981 stress 0 
## ... Procrustes: rmse 0.0992052  max resid 0.13346 
## Run 982 stress 9.666082e-05 
## ... Procrustes: rmse 0.2005406  max resid 0.3419877 
## Run 983 stress 0 
## ... Procrustes: rmse 0.1535811  max resid 0.2374147 
## Run 984 stress 0 
## ... Procrustes: rmse 0.1378295  max resid 0.166184 
## Run 985 stress 8.244324e-05 
## ... Procrustes: rmse 0.2018231  max resid 0.3381003 
## Run 986 stress 0 
## ... Procrustes: rmse 0.06380489  max resid 0.09960946 
## Run 987 stress 8.261318e-05 
## ... Procrustes: rmse 0.1755542  max resid 0.2635342 
## Run 988 stress 0 
## ... Procrustes: rmse 0.126936  max resid 0.1543024 
## Run 989 stress 0 
## ... Procrustes: rmse 0.1049089  max resid 0.1363105 
## Run 990 stress 0 
## ... Procrustes: rmse 0.1616843  max resid 0.2350799 
## Run 991 stress 0 
## ... Procrustes: rmse 0.0766104  max resid 0.128143 
## Run 992 stress 0 
## ... Procrustes: rmse 0.1541914  max resid 0.2612486 
## Run 993 stress 0 
## ... Procrustes: rmse 0.203293  max resid 0.3109193 
## Run 994 stress 0 
## ... Procrustes: rmse 0.08767086  max resid 0.09186579 
## Run 995 stress 0 
## ... Procrustes: rmse 0.1764802  max resid 0.227425 
## Run 996 stress 0 
## ... Procrustes: rmse 0.1408518  max resid 0.2127481 
## Run 997 stress 0 
## ... Procrustes: rmse 0.1864554  max resid 0.3145292 
## Run 998 stress 0 
## ... Procrustes: rmse 0.1584367  max resid 0.2066814 
## Run 999 stress 0 
## ... Procrustes: rmse 0.133102  max resid 0.1703071 
## Run 1000 stress 0 
## ... Procrustes: rmse 0.1094523  max resid 0.1414146 
## *** No convergence -- monoMDS stopping criteria:
##   1000: stress < smin
nmds_2<- metaMDS(dist_ano_2, trymax = 1000)
## Run 0 stress 0 
## Run 1 stress 0 
## ... Procrustes: rmse 0.05101318  max resid 0.07792902 
## Run 2 stress 0 
## ... Procrustes: rmse 0.3453466  max resid 0.4662627 
## Run 3 stress 0 
## ... Procrustes: rmse 0.06131855  max resid 0.1016324 
## Run 4 stress 0 
## ... Procrustes: rmse 0.1357846  max resid 0.2212667 
## Run 5 stress 0 
## ... Procrustes: rmse 0.1485504  max resid 0.1926733 
## Run 6 stress 0 
## ... Procrustes: rmse 0.0976395  max resid 0.1461112 
## Run 7 stress 0 
## ... Procrustes: rmse 0.05230734  max resid 0.07236596 
## Run 8 stress 0 
## ... Procrustes: rmse 0.09422467  max resid 0.1359496 
## Run 9 stress 0 
## ... Procrustes: rmse 0.2368645  max resid 0.3394639 
## Run 10 stress 0 
## ... Procrustes: rmse 0.124668  max resid 0.1434344 
## Run 11 stress 0 
## ... Procrustes: rmse 0.1134385  max resid 0.1923229 
## Run 12 stress 0 
## ... Procrustes: rmse 0.125054  max resid 0.2007606 
## Run 13 stress 0 
## ... Procrustes: rmse 0.3287186  max resid 0.4485923 
## Run 14 stress 0 
## ... Procrustes: rmse 0.2404093  max resid 0.3525609 
## Run 15 stress 0 
## ... Procrustes: rmse 0.08311118  max resid 0.1212581 
## Run 16 stress 0 
## ... Procrustes: rmse 0.0736051  max resid 0.1214414 
## Run 17 stress 0 
## ... Procrustes: rmse 0.1050709  max resid 0.1359828 
## Run 18 stress 0 
## ... Procrustes: rmse 0.1171892  max resid 0.1954198 
## Run 19 stress 9.825759e-05 
## ... Procrustes: rmse 0.3312491  max resid 0.408241 
## Run 20 stress 0 
## ... Procrustes: rmse 0.1179359  max resid 0.1480028 
## Run 21 stress 0 
## ... Procrustes: rmse 0.1598914  max resid 0.179226 
## Run 22 stress 0 
## ... Procrustes: rmse 0.07211291  max resid 0.1061801 
## Run 23 stress 0 
## ... Procrustes: rmse 0.1489661  max resid 0.1728527 
## Run 24 stress 0 
## ... Procrustes: rmse 0.05536678  max resid 0.08256874 
## Run 25 stress 0 
## ... Procrustes: rmse 0.05962433  max resid 0.09509794 
## Run 26 stress 0 
## ... Procrustes: rmse 0.277696  max resid 0.3830727 
## Run 27 stress 0 
## ... Procrustes: rmse 0.04820533  max resid 0.06352689 
## Run 28 stress 0 
## ... Procrustes: rmse 0.02630433  max resid 0.0347313 
## Run 29 stress 0 
## ... Procrustes: rmse 0.07790382  max resid 0.1076815 
## Run 30 stress 0 
## ... Procrustes: rmse 0.1464068  max resid 0.2371154 
## Run 31 stress 0 
## ... Procrustes: rmse 0.1367305  max resid 0.2269175 
## Run 32 stress 0 
## ... Procrustes: rmse 0.05187587  max resid 0.05701944 
## Run 33 stress 0 
## ... Procrustes: rmse 0.2467719  max resid 0.3593653 
## Run 34 stress 0 
## ... Procrustes: rmse 0.03581618  max resid 0.04836052 
## Run 35 stress 0 
## ... Procrustes: rmse 0.3316573  max resid 0.4542827 
## Run 36 stress 0 
## ... Procrustes: rmse 0.1249403  max resid 0.2086553 
## Run 37 stress 0 
## ... Procrustes: rmse 0.05532723  max resid 0.08445348 
## Run 38 stress 0 
## ... Procrustes: rmse 0.02951688  max resid 0.03668667 
## Run 39 stress 0 
## ... Procrustes: rmse 0.07144518  max resid 0.1127979 
## Run 40 stress 0 
## ... Procrustes: rmse 0.05215705  max resid 0.08702596 
## Run 41 stress 0 
## ... Procrustes: rmse 0.2603945  max resid 0.3760361 
## Run 42 stress 0 
## ... Procrustes: rmse 0.1019453  max resid 0.1703868 
## Run 43 stress 0 
## ... Procrustes: rmse 0.12413  max resid 0.192261 
## Run 44 stress 8.580682e-05 
## ... Procrustes: rmse 0.3266397  max resid 0.3502078 
## Run 45 stress 1.158375e-05 
## ... Procrustes: rmse 0.3214999  max resid 0.3670524 
## Run 46 stress 0 
## ... Procrustes: rmse 0.1064418  max resid 0.1823053 
## Run 47 stress 0 
## ... Procrustes: rmse 0.03746745  max resid 0.0460819 
## Run 48 stress 0 
## ... Procrustes: rmse 0.07064053  max resid 0.1141036 
## Run 49 stress 0 
## ... Procrustes: rmse 0.1051964  max resid 0.1101784 
## Run 50 stress 0 
## ... Procrustes: rmse 0.06320942  max resid 0.09257977 
## Run 51 stress 0 
## ... Procrustes: rmse 0.1583465  max resid 0.2493612 
## Run 52 stress 0 
## ... Procrustes: rmse 0.1354039  max resid 0.1887778 
## Run 53 stress 0 
## ... Procrustes: rmse 0.08012963  max resid 0.1205833 
## Run 54 stress 0 
## ... Procrustes: rmse 0.1018799  max resid 0.1482426 
## Run 55 stress 0 
## ... Procrustes: rmse 0.3129831  max resid 0.4121576 
## Run 56 stress 0 
## ... Procrustes: rmse 0.1319038  max resid 0.2052092 
## Run 57 stress 0 
## ... Procrustes: rmse 0.1122832  max resid 0.1702814 
## Run 58 stress 0 
## ... Procrustes: rmse 0.08959935  max resid 0.1534707 
## Run 59 stress 0 
## ... Procrustes: rmse 0.1251897  max resid 0.2059294 
## Run 60 stress 0 
## ... Procrustes: rmse 0.04550396  max resid 0.06787742 
## Run 61 stress 0 
## ... Procrustes: rmse 0.1437313  max resid 0.1989279 
## Run 62 stress 0 
## ... Procrustes: rmse 0.04638677  max resid 0.07295364 
## Run 63 stress 0 
## ... Procrustes: rmse 0.09848618  max resid 0.1358434 
## Run 64 stress 0 
## ... Procrustes: rmse 0.2489495  max resid 0.3564026 
## Run 65 stress 0 
## ... Procrustes: rmse 0.165684  max resid 0.2441702 
## Run 66 stress 8.237483e-05 
## ... Procrustes: rmse 0.3275187  max resid 0.3658676 
## Run 67 stress 0 
## ... Procrustes: rmse 0.1855178  max resid 0.2483112 
## Run 68 stress 0 
## ... Procrustes: rmse 0.2896606  max resid 0.4102198 
## Run 69 stress 9.644006e-05 
## ... Procrustes: rmse 0.2317164  max resid 0.3251044 
## Run 70 stress 0 
## ... Procrustes: rmse 0.1138369  max resid 0.1880024 
## Run 71 stress 0 
## ... Procrustes: rmse 0.1007267  max resid 0.1582391 
## Run 72 stress 0 
## ... Procrustes: rmse 0.09635996  max resid 0.1112575 
## Run 73 stress 0 
## ... Procrustes: rmse 0.2923699  max resid 0.3893457 
## Run 74 stress 0 
## ... Procrustes: rmse 0.06994999  max resid 0.1019526 
## Run 75 stress 0 
## ... Procrustes: rmse 0.0458138  max resid 0.06827105 
## Run 76 stress 0 
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## Run 77 stress 0 
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## Run 857 stress 0 
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## ... Procrustes: rmse 0.03373278  max resid 0.04966172 
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## ... Procrustes: rmse 0.03675574  max resid 0.04445018 
## Run 860 stress 0 
## ... Procrustes: rmse 0.0534061  max resid 0.07625796 
## Run 861 stress 7.06995e-05 
## ... Procrustes: rmse 0.2279482  max resid 0.2800879 
## Run 862 stress 0 
## ... Procrustes: rmse 0.09844474  max resid 0.1638859 
## Run 863 stress 0 
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## ... Procrustes: rmse 0.1208593  max resid 0.1555782 
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## ... Procrustes: rmse 0.1001801  max resid 0.1712596 
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## ... Procrustes: rmse 0.1280225  max resid 0.2132293 
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## ... Procrustes: rmse 0.05677879  max resid 0.07735305 
## Run 870 stress 0 
## ... Procrustes: rmse 0.290733  max resid 0.389475 
## Run 871 stress 0 
## ... Procrustes: rmse 0.1416095  max resid 0.2071026 
## Run 872 stress 0 
## ... Procrustes: rmse 0.1026685  max resid 0.1646484 
## Run 873 stress 0 
## ... Procrustes: rmse 0.08797406  max resid 0.1340389 
## Run 874 stress 0 
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## ... Procrustes: rmse 0.09650584  max resid 0.1644825 
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## ... Procrustes: rmse 0.3219965  max resid 0.4470283 
## Run 878 stress 0 
## ... Procrustes: rmse 0.06550229  max resid 0.085218 
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## ... Procrustes: rmse 0.2909626  max resid 0.3866735 
## Run 880 stress 0 
## ... Procrustes: rmse 0.02873108  max resid 0.03071421 
## Run 881 stress 0 
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## Run 882 stress 0 
## ... Procrustes: rmse 0.3451544  max resid 0.4647307 
## Run 883 stress 0 
## ... Procrustes: rmse 0.3192122  max resid 0.3999873 
## Run 884 stress 0 
## ... Procrustes: rmse 0.04566223  max resid 0.06765205 
## Run 885 stress 0 
## ... Procrustes: rmse 0.04670893  max resid 0.06703054 
## Run 886 stress 0 
## ... Procrustes: rmse 0.118402  max resid 0.1891953 
## Run 887 stress 0 
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## Run 888 stress 0 
## ... Procrustes: rmse 0.3200683  max resid 0.4436013 
## Run 889 stress 0 
## ... Procrustes: rmse 0.09141104  max resid 0.1130383 
## Run 890 stress 6.263315e-05 
## ... Procrustes: rmse 0.3363479  max resid 0.4581105 
## Run 891 stress 0 
## ... Procrustes: rmse 0.240015  max resid 0.3478981 
## Run 892 stress 0 
## ... Procrustes: rmse 0.1506696  max resid 0.2419214 
## Run 893 stress 0 
## ... Procrustes: rmse 0.06806359  max resid 0.100594 
## Run 894 stress 7.085148e-05 
## ... Procrustes: rmse 0.2603797  max resid 0.3582305 
## Run 895 stress 0 
## ... Procrustes: rmse 0.06203512  max resid 0.0930516 
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## Run 898 stress 0 
## ... Procrustes: rmse 0.130623  max resid 0.153939 
## Run 899 stress 0 
## ... Procrustes: rmse 0.02992242  max resid 0.04512257 
## Run 900 stress 9.46678e-05 
## ... Procrustes: rmse 0.2995104  max resid 0.4026596 
## Run 901 stress 0 
## ... Procrustes: rmse 0.05536977  max resid 0.0584428 
## Run 902 stress 0 
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## ... Procrustes: rmse 0.1318501  max resid 0.2129433 
## Run 904 stress 0 
## ... Procrustes: rmse 0.07759243  max resid 0.117941 
## Run 905 stress 0 
## ... Procrustes: rmse 0.05889514  max resid 0.08444326 
## Run 906 stress 0 
## ... Procrustes: rmse 0.110637  max resid 0.1583078 
## Run 907 stress 0 
## ... Procrustes: rmse 0.08020459  max resid 0.1009905 
## Run 908 stress 0 
## ... Procrustes: rmse 0.2540906  max resid 0.2938932 
## Run 909 stress 0 
## ... Procrustes: rmse 0.3333653  max resid 0.4517417 
## Run 910 stress 0 
## ... Procrustes: rmse 0.1030462  max resid 0.1543952 
## Run 911 stress 0 
## ... Procrustes: rmse 0.05874442  max resid 0.08031787 
## Run 912 stress 0 
## ... Procrustes: rmse 0.3144552  max resid 0.4110519 
## Run 913 stress 0 
## ... Procrustes: rmse 0.104376  max resid 0.1785502 
## Run 914 stress 0 
## ... Procrustes: rmse 0.106435  max resid 0.1251671 
## Run 915 stress 0 
## ... Procrustes: rmse 0.2892996  max resid 0.3797312 
## Run 916 stress 9.855787e-05 
## ... Procrustes: rmse 0.2508929  max resid 0.3473763 
## Run 917 stress 0 
## ... Procrustes: rmse 0.08605566  max resid 0.1401171 
## Run 918 stress 0 
## ... Procrustes: rmse 0.1530334  max resid 0.1854695 
## Run 919 stress 0 
## ... Procrustes: rmse 0.04538574  max resid 0.05847881 
## Run 920 stress 0 
## ... Procrustes: rmse 0.2914894  max resid 0.4124576 
## Run 921 stress 0 
## ... Procrustes: rmse 0.06260596  max resid 0.1023189 
## Run 922 stress 0 
## ... Procrustes: rmse 0.1282929  max resid 0.1333603 
## Run 923 stress 0 
## ... Procrustes: rmse 0.2418219  max resid 0.3491192 
## Run 924 stress 0 
## ... Procrustes: rmse 0.143062  max resid 0.2271631 
## Run 925 stress 0 
## ... Procrustes: rmse 0.3207338  max resid 0.4460479 
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## ... Procrustes: rmse 0.1135668  max resid 0.1882017 
## Run 927 stress 0 
## ... Procrustes: rmse 0.09052851  max resid 0.1026696 
## Run 928 stress 0 
## ... Procrustes: rmse 0.04765296  max resid 0.07105028 
## Run 929 stress 0 
## ... Procrustes: rmse 0.3254718  max resid 0.446946 
## Run 930 stress 0 
## ... Procrustes: rmse 0.3331205  max resid 0.4366481 
## Run 931 stress 0 
## ... Procrustes: rmse 0.04247165  max resid 0.06097702 
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## ... Procrustes: rmse 0.05197084  max resid 0.06349433 
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## ... Procrustes: rmse 0.1138244  max resid 0.1884376 
## Run 943 stress 4.657839e-05 
## ... Procrustes: rmse 0.3261485  max resid 0.332447 
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## ... Procrustes: rmse 0.05163706  max resid 0.07747059 
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## ... Procrustes: rmse 0.3060886  max resid 0.3791608 
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## ... Procrustes: rmse 0.07160985  max resid 0.09855616 
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## ... Procrustes: rmse 0.08314953  max resid 0.1394962 
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## ... Procrustes: rmse 0.326629  max resid 0.3826285 
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## ... Procrustes: rmse 0.06840866  max resid 0.1024178 
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## ... Procrustes: rmse 0.09569894  max resid 0.1605443 
## Run 974 stress 9.059461e-05 
## ... Procrustes: rmse 0.1371188  max resid 0.21306 
## Run 975 stress 0 
## ... Procrustes: rmse 0.09621759  max resid 0.1614901 
## Run 976 stress 0 
## ... Procrustes: rmse 0.1240356  max resid 0.1978344 
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## ... Procrustes: rmse 0.08909072  max resid 0.1179085 
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## ... Procrustes: rmse 0.05950234  max resid 0.08945019 
## Run 980 stress 8.868435e-05 
## ... Procrustes: rmse 0.2656403  max resid 0.3643322 
## Run 981 stress 0.0001844339 
## ... Procrustes: rmse 0.3313798  max resid 0.4042591 
## Run 982 stress 1.262028e-06 
## ... Procrustes: rmse 0.2936307  max resid 0.3653352 
## Run 983 stress 0 
## ... Procrustes: rmse 0.07072977  max resid 0.1006557 
## Run 984 stress 0 
## ... Procrustes: rmse 0.04234947  max resid 0.06272532 
## Run 985 stress 0 
## ... Procrustes: rmse 0.3122868  max resid 0.423801 
## Run 986 stress 0 
## ... Procrustes: rmse 0.2286671  max resid 0.3111728 
## Run 987 stress 0 
## ... Procrustes: rmse 0.08978163  max resid 0.139532 
## Run 988 stress 0 
## ... Procrustes: rmse 0.07109975  max resid 0.1174518 
## Run 989 stress 0 
## ... Procrustes: rmse 0.1127473  max resid 0.1932025 
## Run 990 stress 0 
## ... Procrustes: rmse 0.2995327  max resid 0.4138977 
## Run 991 stress 0 
## ... Procrustes: rmse 0.09615075  max resid 0.1578662 
## Run 992 stress 0 
## ... Procrustes: rmse 0.3208797  max resid 0.4084703 
## Run 993 stress 0 
## ... Procrustes: rmse 0.1031478  max resid 0.1161255 
## Run 994 stress 6.723699e-05 
## ... Procrustes: rmse 0.06451207  max resid 0.09049909 
## Run 995 stress 0 
## ... Procrustes: rmse 0.08074403  max resid 0.1102818 
## Run 996 stress 0 
## ... Procrustes: rmse 0.1178784  max resid 0.1975086 
## Run 997 stress 0 
## ... Procrustes: rmse 0.3092356  max resid 0.432542 
## Run 998 stress 0 
## ... Procrustes: rmse 0.03387277  max resid 0.04482488 
## Run 999 stress 0 
## ... Procrustes: rmse 0.05520581  max resid 0.08131016 
## Run 1000 stress 0 
## ... Procrustes: rmse 0.09586213  max resid 0.1477476 
## *** No convergence -- monoMDS stopping criteria:
##      5: no. of iterations >= maxit
##    995: stress < smin

pro_nmds<-procrustes(X = nmds_0, Y = nmds_2, symmetric = FALSE)
protest(X = nmds_0, Y = nmds_2, scores = "sites", permutations = 10000)
## 
## Call:
## protest(X = nmds_0, Y = nmds_2, scores = "sites", permutations = 10000) 
## 
## Procrustes Sum of Squares (m12 squared):        0.07438 
## Correlation in a symmetric Procrustes rotation: 0.9621 
## Significance:  0.041667 
## 
## Permutation: free
## Number of permutations: 23
plot(pro_nmds, kind = 1, type = "text",
     xlab="Dimensão 1", ylab="Dimensão 2", main = " ")

plot(pro_nmds, kind = 2)

Após isso, calculamos a correlação entre a matriz de composição de espécie e as matrizes correspondentes a ambos proxies: estrutura vegetacional (deterministic) e distância (estocástico).


# Distância geográfica como proxy de estocasticidade
blocos_totalmente<-read_excel("pi_matrix_dados_especiais.xlsx")

blocos_totalmente %>% 
  filter(Name==c(4, 5, 8, 9)) %>%
  group_by(Name) %>% 
  sample_n(2, replace = T) %>% 
  geodist()->geodist_proxy_stoc_model_eight

dist(geodist_proxy_stoc_model_eight)->proxy_stoc_model_eight

# Estrutura da vegetação como proxy de nicho ecológico
dist_nicho <- read_excel("dist_nicho.xlsx")

dist_nicho %>% 
  mutate(Local=as.factor(Local), 
         Factor=c(rep(4, 12), rep(5, 12), rep(9, 12), rep(8, 12),
                  rep("4C", 1), rep("5C", 1), rep("8C", 1), rep("9C", 1))) %>%
  group_by(Factor) %>% 
  summarise(Estat_media=mean(Metrica)) %>% 
  dist(method = "euclidean")->proxy_det_model

mantel.partial(dist_geral_0_a_2_anos, proxy_det_model, proxy_stoc_model_eight, method = "pearson")
## 
## Partial Mantel statistic based on Pearson's product-moment correlation 
## 
## Call:
## mantel.partial(xdis = dist_geral_0_a_2_anos, ydis = proxy_det_model,      zdis = proxy_stoc_model_eight, method = "pearson") 
## 
## Mantel statistic r: 0.05359 
##       Significance: 0.357 
## 
## Upper quantiles of permutations (null model):
##   90%   95% 97.5%   99% 
## 0.238 0.335 0.374 0.435 
## Permutation: free
## Number of permutations: 999
mantel.partial(dist_geral_0_a_2_anos, proxy_stoc_model_eight, proxy_det_model, method = "pearson")
## 
## Partial Mantel statistic based on Pearson's product-moment correlation 
## 
## Call:
## mantel.partial(xdis = dist_geral_0_a_2_anos, ydis = proxy_stoc_model_eight,      zdis = proxy_det_model, method = "pearson") 
## 
## Mantel statistic r: 0.5673 
##       Significance: 0.003 
## 
## Upper quantiles of permutations (null model):
##   90%   95% 97.5%   99% 
## 0.353 0.409 0.481 0.537 
## Permutation: free
## Number of permutations: 999

Obrigado!

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