Ensaio de Reprodução para a disciplina BIZ 5798 Princípios de Métodos Filogenéticos Comparativos

Authors

Affiliation

Victor Sibinelli

Departamento de Botânica, IB-USP

Roberto Baptista

Departamento de Botânica, IB-USP

Published

September 22, 2025

Resumo

O trabalho tem como principais objetivos: 1) Elucidar o efeito de diferentes ecologias no sistema visual de vieiras; 2) Investigar se mudanças evolutivas no sistema visual estão associadas com hábitos de vida.

Para isso os autores primeiro testaram se abundância de olhos varia entre espécies de vieiras (ANOVA (log(EA) ∼ SP), e que essa variação é alométrica em relação ao tamanho do corpo (ANCOVA log(EA) ∼log(SH) × SP). Depois, realizaram para cada uma das espécies uma regressão para avaliar a influência do tamanho do corpo (x) na abundância de olhos (y). Sendo que também foi comparado se essa alometria é diferente por espécies, por meio de uma comparação par a par de espécies. Essas análises foram restritas as espécies que apresentavam n > 10.

Posteriormente, os autores, por meio de uma abordagem filogenética comparada, avaliaram as tendências macroevolutivas na abundância ocular para determinar se os hábitos de vida e a alometria evolutiva explicam a variação na abundância ocular ao longo da filogenia. Para essa análise foi realizado uma análise de covariância filogenética. Sendo que a matriz de covariância foi obtida, a partir do modelo de Brownian motion, log(EA) ∼ log(SH) + LH|phy. Também foi realizada uma comparação par a par, para verificar diferença na abundância de olhos por hábito de vida.

Por último, investigaram a evolução da abundância ocular ao longo da filogenia das vieiras em relação às mudanças nos hábitos de vida para determinar se há evidências de ótimos seletivos no número de olhos. Para isso, os autores precisaram estimar o moelhor modelo de transição entre os estados de caráter e os estados ancestrais. O melhor modelo para taxas de transição foi estimado pelo critério de AIC. Nesse caso, o modelo de taxa iguais (ER) foi considerado o mais adequado. Para estimar os estados ancestrais dos nós internos, usando o pacote phytools, por meio de uma abordagem não-paramética. Foram realizadas 100 árvores para os cálculos das probabilidades posteriores dos nós e 10 simulações usando o ER para cada árvore. Posteriormente, 1000 árvores de simmap foram sumarizadas para indicar a probabilidades de hábitos para cada um dos nós internos. Por fim, os autores também verificaram se diferentes hábitos apresentavam taxa evolutivas diferentes, utilizando o pacote OUwie. Foram testados quatro modelos (BM1, BMS, OU1, and OUM) para cada árvore simmap. Depois, também utilizando o teste de AIC, foi escolhido o melhor modelo de taxas evolutivas.

Diante disso, os autores obtiveram como resultados evidências de que: 1) a abundância de olhos varia entre as espécies de vieiras; 2) a abundância de olhos tem uma relação crescente com o tamanho do corpo para as cinco espécies examinadas; 3) a abundância de olhos e o tamanho do corpo tem uma relação alomátrica entre todas as espécies no contexto evolutivo; 4) vieiras com alta mobilidade tendem a ter mais olhos do que aquelas com mobilidade reduzida, ou seja, a abundância de olhos está associadas a forma de vida; e 5) o melhor modelo de texas evolutivas foi o OUM sugerindo que a evolução da abundância de olhos apresenta diferentes ótimos seletivos para cada forma hábito devida, portanto, a abundância de olhos seria uma adaptação a cada ecológia.

Métodos utizados

Modelagem linear classica (ANOVA e ANCOVA)
Modelgem linear com ajuste filogenético (ANOVA e ANCOVA)
Reconstrução de estados ancestrais de caráter ( contMap e SimMap)
Teste de modelos evolutivos para variveis continuas (Ouwie) e discretas (fitDiscrete)

Reprodução

Este pedaço carrega os pacotes utilizados no script

#|label: lib

library(ape)
library(phytools)
library(geiger)
library(ggplot2)
library(RRPP)
library(geomorph)
library(OUwie)
library(dplyr)
library(hrbrthemes)
library(viridis)

Uma sugestão seria incluir um “chunk” para garantir que todos os pacotes necessarios estão instalado. Nosso caso, o pacote ‘hrbrthemes’ não estava disponível no CRAN para nossa versão

# Required packages
packages <- c("ape", "phytools", "geiger", "tidyverse",
              "RRPP", "geomorph", "OUwie", "hrbrthemes", "viridis")

# Install missing packages
to_install <- setdiff(packages, rownames(installed.packages()))
if (length(to_install) > 0) {
  install.packages(to_install, dependencies = TRUE)
}

# Try loading packages and record which fail
failed <- c()
for (pkg in packages) {
  ok <- suppressWarnings(
    suppressPackageStartupMessages(
      require(pkg, character.only = TRUE, quietly = TRUE)
    )
  )
  if (!ok) failed <- c(failed, pkg)
}

# Report result
if (length(failed) == 0) {
  cat("✅ All packages successfully installed and loaded!\n")
} else {
  cat("⚠️ Some packages could not be loaded:", paste(failed, collapse = ", "), "\n")
}

✅ All packages successfully installed and loaded!

Aqui nesta sequencia fazemos o carregamento dos dados, atribuição das variaveis (transformadas) a objetos e criação de modelo linear (Log_eye.count~Species). Em seguida pela analise dos resíduos do modelo por meio de análise gráfica (a parte de criação de arquivos foi retiradas para que os gráficos aprecessem neste documento).

all.data <- read.table("Scallop_eyecount_shell_height.txt", sep = "\t", header = T)
eye.count <- log(all.data[,2]) # 
Species <- as.factor(all.data[,1])
### ANOVA via RRPP
LM <- lm.rrpp(eye.count~Species, iter = 9999, print.progress = FALSE)

anova(LM)$table

           Df     SS      MS     Rsq      F      Z Pr(>F)    
Species    36 28.941 0.80391 0.69659 18.304 17.414  1e-04 ***
Residuals 287 12.605 0.04392 0.30341                         
Total     323 41.546                                         
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

summary(LM)


Linear Model fit with lm.rrpp

Number of observations: 324
Number of dependent variables: 1  
Data space dimensions: 1  
Sums of Squares and Cross-products: Type I
Number of permutations: 10000

Full Model Analysis of Variance

        Df Residual Df      SS Residual SS       Rsq       F Z (from F) Pr(>F)
Species 36         287 28.9406    12.60522 0.6965948 18.3036   17.41387  1e-04


Redundancy Analysis (PCA on fitted values and residuals)

               Trace Proportion Rank
Fitted    0.08959937  0.6965948    1
Residuals 0.03902544  0.3034052    1
Total     0.12862481  1.0000000    1

Eigenvalues

                 PC1
Fitted    0.08959937
Residuals 0.03902544
Total     0.12862481

par(mfrow=c(1,1))
hist(LM$LM$residuals, xlab = "Linear model residuals", 
     main = "ANOVA eye count ~ species",
     cex.lab = 1.2, cex.main = 1.4)

Histograma dos resíduos do modelo linear (FigS1a)

plot(LM, cex = 1.5,mar=c(1,1,1,1))

Os resíduos apontaram a presença de alguns outliers, em especial o ponto 114. A análise com a retirada desses pontos talvez fosse interessante para testar se (e quanto) eles estão afetando o modelo. Adicionalmente, por haver generos que apresentam mais, talvez o uso de um modelo misto fosse mais apropriado (Eyes~Species ,random = ~ 1 | genus / species).

Aqui criamos um boxplot com os valores de contagem de olhos por espécie

eyes.species <- data.frame(all.data[,2], Species)
names(eyes.species) <- c("Eyes","Species")
eyes.species <- eyes.species[c("Species", "Eyes")]
eyes.species.plot <- ggplot(eyes.species, aes(x=Species, y=Eyes)) +
  geom_boxplot(outlier.shape=21)
eyes.species.plot.full <- eyes.species.plot +
  theme_gray(base_size = 11) +
  xlab("Species of scallops") + 
  theme(axis.title.x=element_text(angle=0, size=16)) +
  theme(axis.title.x=element_text(vjust=-0.50)) +
  theme(axis.text.x=element_text(angle=90, size=7, face = "italic")) +
  ylab("Eye abundance") +
  theme(axis.title.y=element_text(angle=90, size=12)) +
  theme(axis.title.y=element_text(vjust=1)) +
  theme(axis.text.y=element_text(angle=0, size=10)) +
  theme(panel.grid.minor.x = element_blank()) +
  theme(panel.grid.major.x = element_blank()) +
  guides(fill="none")
eyes.species.plot.full

Boxplot de quantidade de olhos por espécie (Supplementary_Fig4)

Carregamento de dados, transformação (log) das variaveis e teste da influencia alométrica na quantidade de olhos para 5 espécies, seguido pelo teste de ANCOVA

allometry.data <- read.table("Scallop_allometry.txt", sep = "\t", header = T)
dat <- log(allometry.data[,1:2])
sp <- as.factor(allometry.data[,3])
## Fit Linear Models (LM) for regression analysis
# Aequipecten glyptus
Aglyptus <- log(allometry.data[(1:18),(1:2)])
Aglyptus.model <- lm.rrpp(Aglyptus$eyecount~Aglyptus$height, iter = 999)
Aglyptus.coef <- coef(Aglyptus.model)
anova(Aglyptus.model)$table

                Df      SS      MS     Rsq     F      Z Pr(>F)    
Aglyptus$height  1 0.40856 0.40856 0.65035 29.76 3.3806  0.001 ***
Residuals       16 0.21965 0.01373 0.34965                        
Total           17 0.62821                                        
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

# Amusium pleuronectes
Apleuro <- log(allometry.data[(19:54),(1:2)])
Apleuro.model <- lm.rrpp(Apleuro$eyecount ~Apleuro$height, iter = 9999)
Apleuro.coef <- coef(Apleuro.model)
anova(Apleuro.model)$table

               Df     SS     MS    Rsq      F      Z Pr(>F)    
Apleuro$height  1 3.2171 3.2171 0.6125 53.742 4.4411  1e-04 ***
Residuals      34 2.0353 0.0599 0.3875                         
Total          35 5.2524                                       
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

# Chlamys behringiana
Cbehr <- log(allometry.data[(55:74),(1:2)])
Cbehr.model <- lm.rrpp(Cbehr$eyecount~Cbehr$height, iter = 999)
Cbehr.coef <- coef(Cbehr.model)
anova(Cbehr.model)$table

             Df       SS       MS     Rsq      F      Z Pr(>F)   
Cbehr$height  1 0.082477 0.082477 0.37445 10.775 2.4219  0.007 **
Residuals    18 0.137783 0.007655 0.62555                        
Total        19 0.220260                                         
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

# Ylistrum balloti
Ybal <- log(allometry.data[(75:119),(1:2)])
Ybal.model <- lm.rrpp(Ybal$eyecount~Ybal$height, iter = 999)
Ybal.coef <- coef(Ybal.model)
anova(Ybal.model)$table

            Df      SS       MS     Rsq      F      Z Pr(>F)   
Ybal$height  1 0.21222 0.212223 0.19032 10.107 2.4455  0.004 **
Residuals   43 0.90286 0.020997 0.80968                        
Total       44 1.11509                                         
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

# Placopecten magellanicus
Pmag <- log(allometry.data[(120:167),(1:2)])
Pmag.model <- lm.rrpp(Pmag$eyecount~Pmag$height, iter = 999)
Pmag.coef <- coef(Pmag.model)
anova(Pmag.model)$table

            Df      SS       MS     Rsq      F      Z Pr(>F)  
Pmag$height  1 0.05425 0.054251 0.13641 7.2657 2.0421  0.016 *
Residuals   46 0.34347 0.007467 0.86359                       
Total       47 0.39772                                        
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

ancova.model <- lm.rrpp(dat$eyecount~dat$height*sp, iter = 9999)
common.slope.model <- lm.rrpp(dat$eyecount~dat$height+sp, iter = 9999)
print(("Tabela de ANOVA do modelo ANCOVA"))

[1] "Tabela de ANOVA do modelo ANCOVA"

anova(ancova.model)$table # interaction term significant

               Df      SS     MS     Rsq       F       Z Pr(>F)    
dat$height      1  4.8052 4.8052 0.23512 216.861  7.2959  1e-04 ***
sp              4  9.2824 2.3206 0.45419 104.729 14.4794  1e-04 ***
dat$height:sp   4  2.6051 0.6513 0.12747  29.392  7.9747  1e-04 ***
Residuals     169  3.7447 0.0222 0.18323                           
Total         178 20.4374                                          
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

#
PW <- pairwise(ancova.model, fit.null = common.slope.model,
               groups = sp, covariate = dat$height)
print("Summary dos coeficientes de análise par a par entre as espéscies da análise de ANCOVA
           
           
           ")

[1] "Summary dos coeficientes de análise par a par entre as espéscies da análise de ANCOVA\n           \n           \n           "

summary(PW, test.type = "DL", show.vectors = T)


Pairwise comparisons

Groups: Aequipecten_glyptus Amusium_pleuronectes Chlamys_behringiana Placopecten magellanicus Ylistrum_balloti 

RRPP: 10000 permutations

Slopes (vectors of variate change per one unit of covariate 
        change, by group):
                               [,1]
Aequipecten_glyptus      0.32217677
Amusium_pleuronectes     1.13874648
Chlamys_behringiana      0.40363868
Placopecten magellanicus 0.04827212
Ylistrum_balloti         0.27901341

Slope vector lengths
     Aequipecten_glyptus     Amusium_pleuronectes      Chlamys_behringiana 
              0.32217677               1.13874648               0.40363868 
Placopecten magellanicus         Ylistrum_balloti 
              0.04827212               0.27901341 

Pairwise absolute difference (d) between vector 
            lengths, plus statistics
                                                       d UCL (95%)          Z
Aequipecten_glyptus:Amusium_pleuronectes      0.81656972 0.2889096  3.9693256
Aequipecten_glyptus:Chlamys_behringiana       0.08146191 0.4704766 -0.5573610
Aequipecten_glyptus:Placopecten magellanicus  0.27390465 0.2085544  2.1117475
Aequipecten_glyptus:Ylistrum_balloti          0.04316336 0.2858796 -0.7862076
Amusium_pleuronectes:Chlamys_behringiana      0.73510780 0.4782260  2.3666180
Amusium_pleuronectes:Placopecten magellanicus 1.09047436 0.2399584  5.5256120
Amusium_pleuronectes:Ylistrum_balloti         0.85973308 0.3096289  3.8875355
Chlamys_behringiana:Placopecten magellanicus  0.35536656 0.4413734  1.2904255
Chlamys_behringiana:Ylistrum_balloti          0.12462527 0.4792477 -0.1783078
Placopecten magellanicus:Ylistrum_balloti     0.23074129 0.2326166  1.5543368
                                              Pr > d
Aequipecten_glyptus:Amusium_pleuronectes      0.0001
Aequipecten_glyptus:Chlamys_behringiana       0.7089
Aequipecten_glyptus:Placopecten magellanicus  0.0079
Aequipecten_glyptus:Ylistrum_balloti          0.7668
Amusium_pleuronectes:Chlamys_behringiana      0.0078
Amusium_pleuronectes:Placopecten magellanicus 0.0001
Amusium_pleuronectes:Ylistrum_balloti         0.0001
Chlamys_behringiana:Placopecten magellanicus  0.0942
Chlamys_behringiana:Ylistrum_balloti          0.5842
Placopecten magellanicus:Ylistrum_balloti     0.0527

Uma alternativa para a implementação mais seria mais eficiente ( e reutilizavel para qualquer conjunto de dados) seria a seguinte, que inclui os sumário, coeficientes e vizualização dos diagnosticos (sem salvá-los). Uma vez que não há inclusão de filogenias, um LM simples talvez chegasse em resultados bastante similares.

allometry.data <- read.table("Scallop_allometry.txt", sep = "\t", header = T)
allometry.data <- read.table("Scallop_allometry.txt", sep = "\t", header = T)
allometry.data$height <- log(allometry.data$height)
allometry.data$eyecount <- log(allometry.data$eyecount)
allometry.data$species <- as.factor(allometry.data$species)

for (ssp in unique(allometry.data$species)){
  subdata <- allometry.data[allometry.data$species == ssp, ]
  model <- lm.rrpp(eyecount ~ height, data = subdata, iter = 9999)
  print(paste("✅ ✅ ✅ Species:", ssp))
  print(summary(model))
  print(anova(model)$table)
  print(coef(model))
  par(mfrow=c(2,2))
  plot(model, main = paste("Diagnostics Species:", ssp))
  print("---------------------------
        -----------------------------
        ----------------------------")
  
}

####alternativamente um modelo lm tambem funcionaria 
lm1 <- lm(eyecount~height*species,data = allometry.data)
summary(lm1)

Gráfico do resultado do teste de anova, mostrando os pontos e inclinações para cada espécie testada, e plot para análise dos resíduos dos modelos

#|fig-cap: "Regressão linear de Número de olhos em função do tamanho para cada uma das espécies estudadas"
plot(dat$height, dat$eyecount, pch = 21, bg = as.numeric(sp),
     xlab = "log shell height", ylab = "log eye abundance", cex.lab = 1.6,
     main = "Static allometry", cex.main = 1.5, cex = 1.5)
abline(Aglyptus.coef, col = "black", lwd = 2)
abline(Apleuro.coef, col = "#DF536B", lwd = 2)
abline(Cbehr.coef, col = "#61D04F", lwd = 2)
abline(Ybal.coef, col = "#28E2E5", lwd = 2)
abline(Pmag.coef, col = "#2297E6", lwd = 2)
legend("bottomright", c("Aequipecten glyptus","Amusium pleuronectes",
                        "Chlamys behringiana","Ylistrum balloti",
                        "Placopecten magellanicus"),
       pch = 21, pt.bg = c("black", "#DF536B", "#61D04F",
                           "#28E2E5", "#2297E6"), cex = 1)

#|fig-cap: "Histograma de resíduos do modelo ANCOVA"
hist(ancova.model$LM$residuals, xlab = "Linear model residuals", main = "ANCOVA eye count~shell height*species",
     cex.lab = 1.2, cex.main = 1.2)

#|fig-cap: "Diagnóstico de resíduos do modelo de ANCOVA"
par(mfrow=c(2,2))
plot(ancova.model, cex = 1.5)

Carregamento e manipulação de dados , “trimagem” de terminais incompletos/desnecessarios da árvore/tabela e criação da matriz de covariância filogenética

#|results: false
mydata <- read.table("Scallop_means_per_species.txt", sep = "\t", header = T)
mydata <- mydata %>% 
  mutate(
    height=as.numeric(height)
  ) %>% drop_na()
rownames(mydata) <- mydata$species
mydata

                                              species eyecount height
Adamussium_colbecki               Adamussium_colbecki   102.50  54.52
Aequipecten_glyptus               Aequipecten_glyptus    96.94  44.94
Amusium_pleuronectes             Amusium_pleuronectes    76.33  52.69
Argopecten_gibbus                   Argopecten_gibbus    67.33  37.15
Argopecten_irradians             Argopecten_irradians    59.43  25.60
Caribachlamys_ornata             Caribachlamys_ornata    55.20  14.48
Chlamys_behringiana               Chlamys_behringiana    95.05  28.91
Chlamys_hastata                       Chlamys_hastata    98.77  43.56
Chlamys_rubida                         Chlamys_rubida   101.50  45.75
Crassadoma_gigantea               Crassadoma_gigantea    51.72 131.61
Cryptopecten_vesiculosus     Cryptopecten_vesiculosus    37.33   8.85
Decatopecten_plica                 Decatopecten_plica    82.50  46.71
Equichlamys_bifrons               Equichlamys_bifrons    86.60 105.93
Euvola_perulus                         Euvola_perulus    47.00  26.02
Euvola_raveneli                       Euvola_raveneli    58.50  28.34
Excellichlamys_spectabilis Excellichlamys_spectabilis    51.25  20.74
Gloripallium_pallium             Gloripallium_pallium    82.57  45.00
Leptopecten_latiauratus       Leptopecten_latiauratus    54.46  18.56
Mimachlamys_asperrima           Mimachlamys_asperrima    74.40  81.11
Mimachlamys_townsendi           Mimachlamys_townsendi    83.50  37.53
Mimachlamys_varia                   Mimachlamys_varia    64.80  39.36
Nodipecten_subnodosus           Nodipecten_subnodosus    55.00  64.95
Mizuhopecten_yessoensis       Mizuhopecten_yessoensis    86.50 110.95
Pecten_fumatus                         Pecten_fumatus    65.00  95.47
Pecten_maximus                         Pecten_maximus    57.80 103.08
Pecten_novaezelandiae           Pecten_novaezelandiae    77.00  68.10
Placopecten_magellanicus     Placopecten_magellanicus   151.14  62.86
Pseudamussium_peslutrae       Pseudamussium_peslutrae   106.83  38.86
Spathochlamys_benedicti       Spathochlamys_benedicti    66.00   9.75
Talochlamys_pusio                   Talochlamys_pusio    48.00  26.69
Ylistrum_balloti                     Ylistrum_balloti   110.51  81.49
                              lifestyles    depth
Adamussium_colbecki                glide  bathyal
Aequipecten_glyptus          free-living  bathyal
Amusium_pleuronectes               glide littoral
Argopecten_gibbus            free-living littoral
Argopecten_irradians         free-living littoral
Caribachlamys_ornata       byssal-attach littoral
Chlamys_behringiana        byssal-attach  bathyal
Chlamys_hastata            byssal-attach littoral
Chlamys_rubida             byssal-attach  bathyal
Crassadoma_gigantea               cement littoral
Cryptopecten_vesiculosus     free-living  bathyal
Decatopecten_plica           free-living littoral
Equichlamys_bifrons          free-living littoral
Euvola_perulus                    recess littoral
Euvola_raveneli                   recess littoral
Excellichlamys_spectabilis byssal-attach littoral
Gloripallium_pallium       byssal-attach littoral
Leptopecten_latiauratus    byssal-attach littoral
Mimachlamys_asperrima      byssal-attach littoral
Mimachlamys_townsendi      byssal-attach littoral
Mimachlamys_varia          byssal-attach littoral
Nodipecten_subnodosus        free-living littoral
Mizuhopecten_yessoensis           recess littoral
Pecten_fumatus                    recess littoral
Pecten_maximus                    recess littoral
Pecten_novaezelandiae             recess  bathyal
Placopecten_magellanicus           glide  bathyal
Pseudamussium_peslutrae      free-living  bathyal
Spathochlamys_benedicti    byssal-attach littoral
Talochlamys_pusio                 cement littoral
Ylistrum_balloti                   glide littoral

mydata2 <- mydata %>% 
  mutate(
   log.eyes= log(eyecount),
   log.height=log(height),
   lifestyle=as.factor(lifestyles)
  )

# Read phylogenetic MCC tree
scallop.tree <- read.nexus(file = "Scallop_MCC.tre")
taxa <- name.check(scallop.tree, mydata2)
pruned.tree <- drop.tip(scallop.tree, tip=taxa$tree_not_data)
name.check(pruned.tree, mydata2) # matching tips labels and dataset

[1] "OK"

# Phylogenetic covariance Matrix
phycov <- vcv(pruned.tree)
eyes <- mydata2$log.eyes # eye count (means per species)
eyes <- setNames(eyes,mydata2$species) # set species names to means
lifestyles <- mydata2$lifestyle # habits of life
lifestyles <-setNames(lifestyles, mydata$species)
data.taxa <- as.matrix(mydata[,2])
row.names(data.taxa) <- mydata[,1]
taxa2 <- name.check(scallop.tree, data.taxa)
tree <- drop.tip(scallop.tree, tip = taxa2$tree_not_data)

Aqui vemos o resultado da ANCOVA filogenética considerando a interação de tamanho com hábito

GLS1 <- lm.rrpp(data = mydata2,log.eyes~log.height*lifestyle,cov=phycov,iter=9999)
anova(GLS1)$table

                     Df      SS      MS     Rsq      F        Z Pr(>F)   
log.height            1 0.52970 0.52970 0.18151 9.3447  2.36941 0.0051 **
lifestyle             4 1.11102 0.27776 0.38070 4.9000  2.54500 0.0058 **
log.height:lifestyle  4 0.08725 0.02181 0.02990 0.3848 -0.93433 0.8240   
Residuals            21 1.19039 0.05669 0.40790                          
Total                30 2.91836                                          
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Porém, esta interação pode ser abandonada por não ser significante, resuntando em uma modelo mais simples

GLS2 <- lm.rrpp(data = mydata2,log.eyes~log.height*lifestyle,cov=phycov,iter=9999)
anova(GLS2)$table

                     Df      SS      MS     Rsq      F        Z Pr(>F)   
log.height            1 0.52970 0.52970 0.18151 9.3447  2.36941 0.0051 **
lifestyle             4 1.11102 0.27776 0.38070 4.9000  2.54500 0.0058 **
log.height:lifestyle  4 0.08725 0.02181 0.02990 0.3848 -0.93433 0.8240   
Residuals            21 1.19039 0.05669 0.40790                          
Total                30 2.91836                                          
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

E em seguida, checamos os resíduos do modelo

#|
par(mfrow = c(1,1))
hist(GLS2$LM$residuals, xlab = "Linear model residuals", main = "Phylogenetic ANCOVA",
     cex.lab = 1.2, cex.main = 1.2)

Diagnóstico para a ANCOVA filogenética. (a) Histograma dos resíduos do modelo linear. (b) Conjunto de gráficos de diagnóstico padrão do modelo, incluindo resíduos vs ajustados, QQ-plot, escala-local, e leverage.

par(mfrow = c(2,2))
plot(GLS2)

Uma vez averiguado o fit do modelo, podemos ver o efeito da alometria evolutina na quantidade de olhos

#|fig-cap: "Efeito do tamanho na quantidade de olhos, corrigido pelo efeito evolutivo"
par(mar = c(5, 5, 4, 3) + 0.1)
plot(mydata2$log.eyes~mydata2$log.height, pch = 19, xlab = "log shell height",
     ylab = "log eye abundance", main = "Evolutionary allometry",
     cex.main = 1.5, cex.lab = 1.6, cex = 1.5)
abline(coef(lm(mydata2$log.eyes~mydata2$log.height)), col = "black", lwd = 2)

E as comparações de significancia par a par para cada tipo de hábito

pw <- pairwise(GLS2, groups = mydata2$lifestyles)
test.pw <- summary(pw, test.type = "dist"); test.pw


Pairwise comparisons

Groups: byssal-attach cement free-living glide recess 

RRPP: 10000 permutations

LS means:
Vectors hidden (use show.vectors = TRUE to view)

Pairwise distances between means, plus statistics
                                   d UCL (95%)           Z Pr > d
byssal-attach:cement      0.48229524 0.8268426 -0.38454345 0.6391
byssal-attach:free-living 0.09050779 0.2708019 -0.14345661 0.5674
byssal-attach:glide       0.05482175 0.6408278 -1.23793181 0.8758
byssal-attach:recess      0.30153126 0.5146685 -0.06819252 0.5388
cement:free-living        0.39178745 0.7338638 -0.32267900 0.6308
cement:glide              0.53711699 1.2455005 -0.69837262 0.7531
cement:recess             0.18076398 0.5373860 -0.30274881 0.6210
free-living:glide         0.14532954 0.7408820 -0.75791202 0.7552
free-living:recess        0.21102347 0.4186921  0.04447193 0.5036
glide:recess              0.35635301 0.9608172 -0.53529608 0.7056

Aqui mostramos o numero de olhos observados para cada tipo de hábito

#|fig-cap: "Número de olhos para cada tipo de hábito"
par(mar = c(5, 5, 4, 3) + 0.1)
eyes.lifestyle.plot <- mydata %>% 
  ggplot()+
  geom_boxplot(aes(y=eyecount,x=lifestyles,fill = lifestyles))+
  scale_fill_manual(values=c("#99FF99", "#FF6633", "#FFFF66", "#666FFF", "#CC99FF")) +
  theme_gray(base_size = 11) +
  xlab("Life habits") + 
  theme(axis.title.x=element_text(angle=0, size=18)) +
  theme(axis.title.x=element_text(vjust=-1)) +
  theme(axis.text.x=element_text(angle=0, size=14)) +
  ylab("Eye abundance per species") +
  theme(axis.title.y=element_text(angle=90, size=18)) +
  theme(axis.title.y=element_text(vjust=1)) +
  theme(axis.text.y=element_text(angle=0, size=12)) +
  theme(panel.grid.minor.x = element_blank()) +
  theme(panel.grid.major.x = element_blank()) +
  guides(fill=FALSE)
eyes.lifestyle.plot

Aqui reconstruimos os estados ancestrais para número de olhos na filogenia …

#|fig-cap: "Estados ancestrais de carátes"
eyes <- mydata2$log.eyes # eye count (means per species)
eyes <- setNames(eyes,mydata2$species) # set species names to means
lifestyles <- mydata2$lifestyle # habits of life
lifestyles <-setNames(lifestyles, mydata$species)
data.taxa <- as.matrix(mydata[,2])
row.names(data.taxa) <- mydata[,1]
taxa2 <- name.check(scallop.tree, data.taxa)
tree <- drop.tip(scallop.tree, tip = taxa2$tree_not_data)


### 4.1. CONTINUOUS TRAIT EVOLUTION: Eye abundance
# Estimate ancestral values and plot mapped tree
eye.contMap <- contMap(tree, eyes, plot = FALSE)
colfunc <- colorRampPalette(c("black", "white", "#666FFF"))
eye.contMap <- setMap(eye.contMap, colors = c(colfunc(5)))

Selecionamos o melhor modelo evolutivo para taxa de transição

discrete.models <- list("ER", "SYM", "ARD")
models.output <- lapply(discrete.models, function(x) {
  fitDiscrete(tree, lifestyles, model = x)
}) 
# Extract AIC values
AICs <- setNames(sapply(models.output, function(x) x$opt$aic), discrete.models) %>% 
  aicw()
AICs

          fit    delta            w
ER   83.56959  0.00000 9.977230e-01
SYM  95.73695 12.16735 2.274587e-03
ARD 109.42669 25.85710 2.422207e-06

E comparamos o resultado das duas reconstruções em um gráfico espelhado de reconstrução de estados ancestrais ( número de olhos e hábito)

#|fig-cap: "Estimativa do estado ancestral da abundância ocular (esquerda) e mapeamento estocástico bayesiano de caracteres para hábitos de vida (direita). As espécies utilizadas em análises de alometria estática estão indicadas em negrito."

#

par(mfrow=c(1,2))
plot(eye.contMap, fsize = c(0.6,0.6),
     leg.txt = "Eye abundance", ftype = "off",width = 8, height = 12,mar=c(0,0,0,0))

fitER <- ace(lifestyles, tree, model = "ER", type = "discrete")
plotTree(tree, fsize = 0.7, ftype = "i",direction="leftwards",
         offset=1,mar=c(3.5,0,0,0))
cols <- setNames(c("#99FF99", "#FF6633", "#FFFF66", "#666FFF", "#CC99FF"), sort(unique(lifestyles)))
habit.mode<-as.factor(setNames(mydata[,4],mydata[,1]))
tiplabels(pie=to.matrix(habit.mode[tree$tip.label], sort(unique(lifestyles))),
          piecol = cols,cex=0.45)
nodelabels(node = 1:tree$Nnode+Ntip(tree),
           pie = fitER$lik.anc, piecol = cols, cex = 0.7)
add.simmap.legend(colors = cols, fsize = 0.8,
                  prompt = FALSE, x = 10, y = 5)

E reproduzimos uma reconstrução de estado ancestral de caráter em 100 árvores reamostradas, trimando terminais desnecessários e sumarizando o resultado de todas as simulação

#|fig-cap: "Reconstrução de estado ancestral de caráter por Mapeamento Estocástico Bayesiano (Simmap) "

treSize <- 100#100
nsim <- 10#10
ouwiesim <- 1000#1000
posterior.trees <- read.nexus(file = "Scallop_posterior_trees.trees") #10,001 trees
sampled.trees <- sample(posterior.trees, size = treSize) 

all.tips <- unique(unlist(lapply(sampled.trees, function(tr) tr$tip.label)))
drop_taxa <- setdiff(all.tips, names(lifestyles))
# sampling 100 trees
trees <- drop.tip.multiPhylo(sampled.trees, tip = drop_taxa)
# Perform 10 simulations for ancestral states in each of 100 sampled trees
simmap.habits <- make.simmap(trees, lifestyles, model = "ER", nsim = nsim, message = F)
sum.simmap.habits <- summary(simmap.habits, check.equal = T, message = F)

Note: Some trees are not equal.
A "reference" tree will be computed if none was provided.

No reference tree provided & some trees are unequal.
Computing majority-rule consensus tree.

# rotate tree to match contMap tree

plot(sum.simmap.habits, fsize = 0.6, ftype = "i",
     colors = cols, cex = 0.65,direction="leftwards")
add.simmap.legend(colors = cols, fsize = 0.7,
                  prompt = FALSE, x = 0.45, y = 6)

Aqui fazemos 1000 simulações para cada modelo evolutivo (BM1, BMS ,OU1 e OUM) para diversas reconstruções de carater realizadas por Simmap . O loop foi comentado para que não rode desnecessariamente

OUwie.data <- data.frame(mydata[,1], mydata[,4], mydata[,2])

trees.OUwie <- sample(posterior.trees, size = treSize) # sample 100 trees

all.tips2 <- unique(unlist(lapply(trees.OUwie, function(tr) tr$tip.label)))
drop_taxa2 <- setdiff(all.tips2, names(lifestyles))
trees.OUwie <- drop.tip.multiPhylo(trees.OUwie, tip = drop_taxa2)
# Use 1000 simmap trees for analysis (10 simulations on each sampled tree)
simmap.OUwie <- make.simmap(trees.OUwie, lifestyles, model = "ER", nsim = nsim, message = F)
OUwie.run <- vector("list", ouwiesim)
for (i in 1:ouwiesim){OUwie.run[[i]] <- vector("list", 4)}
OUwie.models <- list("BM1", "BMS", "OU1", "OUM")
for (i in 1:ouwiesim){
  OUwie.run[[i]] <- lapply(1:length(OUwie.models), function(x) {
    OUwie(simmap.OUwie[[i]], OUwie.data, model = OUwie.models[[x]], ub = 500,
          algorithm = "invert", simmap.tree = TRUE, diagn = T)})
}

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Salvamos os dados resultantes de cada modelo, excluímos modelos improvaveis e os acondicionamos os parametros estimados em tabelas

OUwie.run <- vector("list", ouwiesim)
for (i in 1:ouwiesim){OUwie.run[[i]] <- vector("list", 4)}
OUwie.models <- list("BM1", "BMS", "OU1", "OUM")
for (i in 1:ouwiesim){
  OUwie.run[[i]] <- lapply(1:length(OUwie.models), function(x) {
    OUwie(simmap.OUwie[[i]], OUwie.data, model = OUwie.models[[x]], ub = 500,
          algorithm = "invert", simmap.tree = TRUE, diagn = T)})
}

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#Extract key information from model results
BM1 <- matrix(NA, nrow = ouwiesim, ncol = 4)
BMS <- matrix(NA, nrow = ouwiesim, ncol = 12)
OU1 <- matrix(NA, nrow = ouwiesim, ncol = 6)
OUM <- matrix(NA, nrow = ouwiesim, ncol = 10)
colnames(BM1) <- c("AICc", "eigval", "sigmasq", "theta")
colnames(BMS) <- c("AICc", "eigval1", "eigval2","eigval3", "eigval4", 
                   "eigval5", "sigmasq1", "sigmasq2", "sigmasq3",
                   "sigmasq4", "sigmasq5", "theta")
colnames(OU1) <- c("AICc","eigval1","eigval2","alpha","sigmasq","theta")
colnames(OUM) <- c("AICc", "eigval1", "eigval2","alpha","sigmasq",
                   "theta1","theta2","theta3","theta4","theta5" )
# Organize that information in matrices for easier comparisons
for (i in 1:ouwiesim) {
  BM1[,1][[i]] <- OUwie.run[[i]][[1]]$AICc #AICc BM1
  BM1[,2][[i]] <- OUwie.run[[i]][[1]]$eigval # eigenvalues
  BM1[,3][[i]] <- OUwie.run[[i]][[1]]$solution[2]# sigma.sq
  BM1[,4][[i]] <- OUwie.run[[i]][[1]]$theta[1,1]# optimum (theta)
  BMS[,1][[i]] <- OUwie.run[[i]][[2]]$AICc #AICc BMS
  BMS[,2][[i]] <- OUwie.run[[i]][[2]]$eigval[1] # eigenvalues
  BMS[,3][[i]] <- OUwie.run[[i]][[2]]$eigval[2]
  BMS[,4][[i]] <- OUwie.run[[i]][[2]]$eigval[3]
  BMS[,5][[i]] <- OUwie.run[[i]][[2]]$eigval[4]
  BMS[,6][[i]] <- OUwie.run[[i]][[2]]$eigval[5]
  BMS[,7][[i]] <- OUwie.run[[i]][[2]]$solution[2]# sigma.sq byssal-attach
  BMS[,8][[i]] <- OUwie.run[[i]][[2]]$solution[4]# sigma.sq cement
  BMS[,9][[i]] <- OUwie.run[[i]][[2]]$solution[6]# sigma.sq free-living
  BMS[,10][[i]] <- OUwie.run[[i]][[2]]$solution[8]# sigma.sq glide
  BMS[,11][[i]] <- OUwie.run[[i]][[2]]$solution[10]# sigma.sq recess
  BMS[,12][[i]] <- OUwie.run[[i]][[2]]$theta[1,1]# optimum (theta)
  OU1[,1][[i]] <- OUwie.run[[i]][[3]]$AICc # AICc OU1
  OU1[,2][[i]] <- OUwie.run[[i]][[3]]$eigval[1] # eigenvalues
  OU1[,3][[i]] <- OUwie.run[[i]][[3]]$eigval[2]
  OU1[,4][[i]] <- OUwie.run[[i]][[3]]$solution[1] # alpha
  OU1[,5][[i]] <- OUwie.run[[i]][[3]]$solution[2] # sigma.sq
  OU1[,6][[i]] <- OUwie.run[[i]][[3]]$theta[1] # optimum (theta)
  OUM[,1][[i]] <- OUwie.run[[i]][[4]]$AICc # AICc OUM
  OUM[,2][[i]] <- OUwie.run[[i]][[4]]$eigval[1] # eigenvalues
  OUM[,3][[i]] <- OUwie.run[[i]][[4]]$eigval[2]
  OUM[,4][[i]] <- OUwie.run[[i]][[4]]$solution[1] # alpha
  OUM[,5][[i]] <- OUwie.run[[i]][[4]]$solution[2] # sigma.sq
  OUM[,6][[i]] <- OUwie.run[[i]][[4]]$theta[1,1]# theta byssal-attach
  OUM[,7][[i]] <- OUwie.run[[i]][[4]]$theta[2,1]# theta cement
  OUM[,8][[i]] <- OUwie.run[[i]][[4]]$theta[3,1]# theta gree-living
  OUM[,9][[i]] <- OUwie.run[[i]][[4]]$theta[4,1]# theta glide
  OUM[,10][[i]] <- OUwie.run[[i]][[4]]$theta[5,1]# theta recess
}
# Eigenvalues produced by each model
eigvals <- cbind(BM1[,2],BMS[,2],BMS[,3],BMS[,4], BMS[,5], BMS[,6],
                 OU1[,2],OU1[,3],OUM[,2],OUM[,3])

# Set column names for eigenvalues matrix
colnames(eigvals) <- c("BM1","BMS","BMS","BMS","BMS","BMS","OU1","OU1","OUM","OUM")

# Filter eigenvalues: negative values are unreliable
eigvals.clean <- eigvals
eigvals.clean[eigvals.clean < 0] <- NA  # replace invalid values with NA
eigvals.failed <- which(is.na(eigvals.clean), arr.ind = TRUE) # positions of failed models

# Theta: optima (eye abundance)
theta <- cbind(BM1[,4], BMS[,12], OU1[,6], OUM[,6], OUM[,7], OUM[,8], OUM[,9], OUM[,10])
colnames(theta) <- c("BM1","BMS","OU1","OUM","OUM","OUM","OUM","OUM")

# Filter theta for unrealistic values (theta < 0 or > 200)
theta.clean <- theta
theta.clean[theta.clean < 0 | theta.clean > 200] <- NA
theta.failed <- which(is.na(theta.clean), arr.ind = TRUE)

# Compute mean theta per column (ignoring NA)
theta.means <- apply(theta.clean, 2, mean, na.rm = TRUE)

# Count of valid entries in first theta column
theta_length <- sum(!is.na(theta.clean[,1]))

# Optional: print summaries
# eigvals.clean
# theta.clean
# theta.means
# theta_length

# Data frame for Violin plot
theta.df <- data.frame(
  model = c( rep("BM1",theta_length), rep("BMS",theta_length),rep("OU1",theta_length),
             rep("OUM1",theta_length),rep("OUM2",theta_length), rep("OUM3",theta_length),
             rep("OUM4",theta_length), rep("OUM5",theta_length)),
  theta = c( theta.clean[,1], theta.clean[,2], theta.clean[,3], theta.clean[,4],
             theta.clean[,5], theta.clean[,6], theta.clean[,7], theta.clean[,8]))
theta.df2 <- data.frame(
  model = rep(c("BM1","BMS","OU1","OUM1","OUM2","OUM3","OUM4","OUM5"), each = theta_length),
  theta = c(theta.clean[,1:8])
)


sample_theta = theta.df2 %>% group_by(model) %>% summarize(num=n())



# Sigma.sq: rate of evolution under different models
sigma.sq <- cbind(BM1[,3],BMS[,7],BMS[,8],BMS[,9], BMS[,10], BMS[,11],
                  OU1[,5],OUM[,5])
colnames(sigma.sq) <- c("BM1","BMS","BMS","BMS","BMS","BMS","OU1","OUM")
sigma.sq.means <- apply(sigma.sq, 2, mean); sigma.sq.means

      BM1       BMS       BMS       BMS       BMS       BMS       OU1       OUM 
150.15825 108.39717 115.76622 203.14375 335.52207  44.89993 362.86416 412.15524

# Data frame for Violin plot
sigma.df <- data.frame(
  model = c( rep("BM1",ouwiesim), rep("BMS1",ouwiesim),rep("BMS2",ouwiesim),
             rep("BMS3",ouwiesim),rep("BMS4",ouwiesim), rep("BMS5",ouwiesim),
             rep("OU1",ouwiesim), rep("OUM",ouwiesim)),
  sigma.sq = c( sigma.sq[,1], sigma.sq[,2], sigma.sq[,3], sigma.sq[,4],
                sigma.sq[,5], sigma.sq[,6], sigma.sq[,7], sigma.sq[,8])
)
# Sample size and summary statistics for boxplot
sample_sigma = sigma.df %>% group_by(model) %>% summarize(num=n())

alpha <- cbind(OU1[,4],OUM[,4])
colnames(alpha) <- c("OU1","OUM")
alpha.means <- apply(alpha, 2, mean); alpha.means

      OU1       OUM 
0.3258694 0.6494171

E vizualisamos os resultados para Ótimos evolutivos (theta)…

#|fig-cap: "Box-violin plot para os valores ótimos evolutivos de numero de olhos previstos para cada modelo"


par(mar = c(5,5,3,3))

theta.df %>%
  left_join(sample_theta) %>%
  mutate(myaxis = paste0(model)) %>%
  ggplot( aes(x=model, y=theta, fill=model)) +
  scale_fill_manual(values=c(c("#666666", "#999999", "#CCCCCC"), c(cols))) +
  geom_violin(bw=2) +
  geom_boxplot(width=0.5, color="grey", alpha=0.1) +
  theme_gray(base_size = 11) +
  guides(fill=FALSE)

sigma..

#|fig-cap: "Box-violin plot para os valores de taxa de evolução  previstos para cada modelo"

par(mar = c(5,5,3,3))
sigma.df %>%
  left_join(sample_sigma) %>%
  mutate(myaxis = paste0(model)) %>%
  ggplot( aes(x=model, y=sigma.sq, fill=model)) +
  scale_fill_manual(values=c("#666666", cols, "#CCCCCC", "#FFFFFF")) +
  geom_violin() +
  geom_boxplot(width=0.5, color="grey", alpha=0.1) +
  theme_gray(base_size = 11) +
  guides(fill=FALSE)

e alfa

#|fig-cap: "Box-violin plot para os valores força de seleção para cada modelo evolutivo"
par(mar = c(5,5,3,3))
boxplot(alpha, ylab = expression(paste("Selective force (",alpha,")")),
        outline = FALSE, xlab = "Ornstein-Uhlenbeck models", cex.lab = 1.3,
        col = c("#CCCCCC", "#FFFFFF"))

Por fim organizamos os valores de AIC de cada um dos modelos em tabelas

# Combine AICc values
AICc <- cbind(BM1[,1], BMS[,1], OU1[,1], OUM[,1])
colnames(AICc) <- c("BM1", "BMS", "OU1", "OUM")

# Identify reconstructions to remove due to failed parameters
to.remove <- unique(c(theta.failed[,1], eigvals.failed[,1]))

# Remove failed reconstructions
AICc.clean <- AICc
if(length(to.remove) > 0) {
  AICc.clean <- AICc[-to.remove, , drop = FALSE]
}

# Compute mean AICc per model
AICc.means <- apply(AICc.clean, 2, mean, na.rm = TRUE)
AICc.means

     BM1      BMS      OU1      OUM 
299.4581 302.9202 287.1020 285.5431

# Number of valid reconstructions
AICc.cleanLength <- sum(!is.na(AICc.clean[,1]))

# Create tidy data frame for plotting or analysis
Aic.df <- data.frame(
  model = rep(c("BM1","BMS","OU1","OUM"), each = AICc.cleanLength),
  AICc.score = c(AICc.clean[,1], AICc.clean[,2], AICc.clean[,3], AICc.clean[,4])
)

 # TRUE
# Sample size and summary statistics for boxplot
sample_AIC = Aic.df %>% group_by(model) %>% summarize(num=n())

# Select the optimal model
optimal.models <- lapply(1:length(AICc.clean[,1]), function(x) {sort(AICc.clean[x,])})
delta <- lapply(1:length(optimal.models), function(x) {optimal.models[[x]][2]-optimal.models[[x]][1]})
keep <- which(delta > 2, arr.ind = TRUE) # keeping delta AIcc > 2
significant.dif <- optimal.models[keep] 
best.fit <- lapply(1:length(significant.dif), function(x) {significant.dif[[x]][1]})

# 556 out of 874 reconstructions have delta AICc > 2
length(grep("OUM", best.fit)) # optimal performance of OUM 426 times

[1] 420

length(grep("OU1", best.fit)) # optimal performance of OU1 130 times

[1] 154

# AICc weights
AIC.weights <- lapply(1:dim(AICc.clean)[1], function(x) {aicw(t(AICc.clean)[,x])})
AICw <- matrix(NA, nrow = length(AIC.weights), ncol = 4)
colnames(AICw) <- c("BM1", "BMS", "OU1", "OUM")

for (i in 1:length(AIC.weights)){
  AICw[i,] <- AIC.weights[[i]][,3]
}
AICw.means <- apply(AICw, 2, mean); AICw.means

         BM1          BMS          OU1          OUM 
0.0017942541 0.0004034249 0.3679673478 0.6298349732

AICw.df <- data.frame(
  model = rep(c("BM1","BMS","OU1","OUM"), each = length(AIC.weights)),
  AIC.weights = c(AICw[,1], AICw[,2], AICw[,3], AICw[,4])
)
# Sample size and summary statistics for boxplot
sample_AICw = AICw.df %>% group_by(model) %>% summarize(num=n())

e selecionamos o melhor modelo

sorted.weights <- lapply(1:length(AIC.weights), function(x) {sort.list(AIC.weights[[x]][,3], decreasing = T)})
largest.weights <- lapply(1:length(sorted.weights), function(x) {sorted.weights[[x]][1]})
model.support <- tibble(
  Model = c("BM1", "BMS", "OU1", "OUM"),
  Best_Model = c(
    length(grep("1", largest.weights)),
    length(grep("2", largest.weights)),
    length(grep("3", largest.weights)),
    length(grep("4", largest.weights))
  ))
print(model.support)

# A tibble: 4 × 2
  Model Best_Model
  <chr>      <int>
1 BM1            0
2 BMS            0
3 OU1          278
4 OUM          578

Como pode ser vizualizado pelos valores de AICc

#|fig-cap: "Valores de AICs das simulações para cada modelo evolutivo"
par(mar = c(5,5,3,3))

Aic.df %>%
  left_join(sample_AIC) %>%
  mutate(myaxis = paste0(model)) %>%
  ggplot( aes(x=model, y=AICc.score, fill=model)) +
  scale_fill_manual(values=c("#666666", "#999999", "#CCCCCC", "#FFFFFF")) +
  geom_violin() +
  geom_boxplot(width=0.5, color="grey", alpha=0.1) +
  theme_gray(base_size = 11) +
  guides(fill=FALSE)

Ou pelos pesos

#|fig-cap: "Pesos de AICs das simulações para cada modelo evolutivo"
par(mar = c(5,5,3,3))
AICw.df %>%
  left_join(sample_AICw) %>%
  mutate(myaxis = paste0(model)) %>%
  ggplot( aes(x=model, y=AIC.weights, fill=model)) +
  scale_fill_manual(values=c("#666666", "#999999", "#CCCCCC", "#FFFFFF")) +
  geom_violin(bw=0.04) +
  geom_boxplot(width=0.5, color="grey", alpha=0.1) +
  theme_gray(base_size = 11) +
  guides(fill=FALSE)

Nossas percepções

Nossa percepção sobre o estudo foi de que os métodos possibilitam testar de forma coerente os objetivos dos trabalhos. Particularmente, o mais interessante foi o ANCOVA, para investigar os estados ancestrais e sua relação com as diferentes formas de vida. Essa análise foi a mais interessante, pois acredito que podemos utilizar essa mesma abordagem em nossos trabalhos. Nós recomendariamos esse artigo sem dúvidas para nossos colegas que estão investigando coisas parecidas com a minha, pois acredito que essa abordagem de métodos comparativos pode ser implementada nas nosssas áreas e temos a impressão de pouca coisa sendo feita nesse sentido na botânica. A maioria dos estudos, acredito, que parem na reconstrução dos caracteres ancestrais mais não testam se eles estão relacionados evolutivamente. Nesse sentido, a principal novidade foi justamente descobrir que essas análises podem ser realizadas. Adicionalmente, o artigo é muito didático em como constroi a hipótese baseado em análises exploratórias mais simples e vai gradativamente adicionando complexidade para testar as demais hipóteses.

Uma ressalva que tivemos seria em relação a reprodutibilidade do estudo. O script contava com várias dificuldades em sua execução, que variavem de arquivos com nomes errados à problemas de sintaxe que resultavam em funções não rodarem.

Other Formats

Resumo

Métodos utizados

Reprodução

Nossas percepções