Reproduzindo as análises do capítulo 8 do livro de diversidade funcional.

Definindo a dis (similaridade) entre espécies

library(ade4)
## Warning: package 'ade4' was built under R version 4.1.3
library(FD)
## Warning: package 'FD' was built under R version 4.1.3
## Carregando pacotes exigidos: ape
## Carregando pacotes exigidos: geometry
## Carregando pacotes exigidos: vegan
## Carregando pacotes exigidos: permute
## Carregando pacotes exigidos: lattice
## This is vegan 2.5-7
library(ecodados)
library(gridExtra)
library(ggplot2)
library(ggrepel)
library(tidyverse)
## -- Attaching packages --------------------------------------- tidyverse 1.3.1 --
## v tibble  3.1.6     v dplyr   1.0.7
## v tidyr   1.2.0     v stringr 1.4.0
## v readr   2.1.2     v forcats 0.5.1
## v purrr   0.3.4
## -- Conflicts ------------------------------------------ tidyverse_conflicts() --
## x dplyr::combine() masks gridExtra::combine()
## x dplyr::filter()  masks stats::filter()
## x dplyr::lag()     masks stats::lag()
library(picante)
## Carregando pacotes exigidos: nlme
## 
## Attaching package: 'nlme'
## The following object is masked from 'package:dplyr':
## 
##     collapse
comun_fren_dat <- ecodados::fundiv_frenette2012a_comu
ambie_fren_dat <- ecodados::fundiv_frenette2012a_amb
trait_fren_dat <- ecodados::fundiv_frenette2012a_trait
trait_dat      <- ecodados::fundiv_barbaro2009a_trait
comun_dat      <- ecodados::fundiv_barbaro2009a_comu
ambie_dat      <- ecodados::fundiv_barbaro2009a_amb
trait_cont <- trait_fren_dat
trait_pad <- decostand(trait_cont, "standardize")
euclid_dis <- vegdist(trait_pad, "euclidean")
pcoa_traits_cont <- pcoa(euclid_dis, correction="cailliez")
eixos_cont <- as.data.frame(pcoa_traits_cont$vectors[,1:2])
eixos_cont %>% 
  ggplot(aes(x=Axis.1, y=Axis.2)) + 
  geom_point(pch=21, size=3, color = "black", fill="#4575b4") + 
   geom_text_repel(aes(Axis.1, Axis.2, label = rownames(eixos_cont))) +
  xlab("PCO 1") + ylab("PCO 2") + 
  theme(axis.title.x = element_text(face="bold", size=14),
        axis.text.x = element_text(vjust=0.5, size=12)) + 
  theme(axis.title.y = element_text(face="bold", size=14),
        axis.text.y = element_text(vjust=0.5, size=12)) + 
  geom_hline(yintercept = 0, linetype=2) + 
  geom_vline(xintercept = 0, linetype=2)+ 
  theme(legend.position = "top", legend.title=element_blank()) -> plot_trait_cont
plot_trait_cont

ggsave("trait_cont.pdf", plot_trait_cont, height = 14, width = 14, dpi = 600, units = "cm")
trait_dat %>% 
   dplyr::select_if(is.character) -> trait_cat 
dist_categ <- gowdis(trait_cat)
pcoa_traits_cat <- pcoa(dist_categ, correction="cailliez")
eixos_cat <- as.data.frame(pcoa_traits_cat$vectors[,1:2])
eixos_cat %>% 
    ggplot(aes(x=Axis.1, y=Axis.2)) + 
  geom_point(pch=21, size=3, color = "black", fill="#4575b4") + 
   geom_text_repel(aes(Axis.1, Axis.2, label = rownames(eixos_cat))) +
  xlab("PCO 1") + ylab("PCO 2") + 
  theme(axis.title.x = element_text(face="bold", size=14),
        axis.text.x = element_text(vjust=0.5, size=12)) + 
  theme(axis.title.y = element_text(face="bold", size=14),
        axis.text.y = element_text(vjust=0.5, size=12)) + 
  geom_hline(yintercept = 0, linetype=2) + 
  geom_vline(xintercept = 0, linetype=2)+ 
  theme(legend.position = "top", legend.title=element_blank()) -> plot_trait_cat
plot_trait_cat

ggsave("trait_cat.pdf", plot_trait_cat, height = 14, width = 14, dpi = 600, units = "cm")
trait_dat %>%
   dplyr::summarise_all(class) %>% 
  tidyr::gather(variable, class)
##    variable     class
## 1     trend character
## 2   redlist character
## 3     regio   integer
## 4      biog character
## 5     activ character
## 6      diet character
## 7    winter character
## 8     color character
## 9     breed character
## 10     body   integer
## 11     wing character
## 12   period character
trait_dat$regio <- as.ordered(trait_dat$regio)
trait_dat$body <- as.ordered(trait_dat$body)
trait_categ <- cbind.data.frame(trend=trait_dat$trend, redlist=trait_dat$redlist, biog=trait_dat$biog, activ=trait_dat$activ,  diet=trait_dat$diet, winter=trait_dat$winter,color=trait_dat$color, breed=trait_dat$breed,wing=trait_dat$wing, period=trait_dat$period)
trait_ord <- cbind.data.frame(regio=trait_dat$regio, body=trait_dat$body)
rownames(trait_categ) <- rownames(trait_dat)
rownames(trait_ord) <- rownames(trait_dat)
ktab_list <- ktab.list.df(list(trait_categ, trait_ord))
dist_mist <- dist.ktab(ktab_list, type= c("N", "O"))
pcoa_traits_mist <- pcoa(dist_mist, correction="cailliez")
eixos_mist <- as.data.frame(pcoa_traits_mist$vectors[,1:2])
eixos_mist %>%
   ggplot(aes(x=Axis.1, y=Axis.2)) + 
  geom_point(pch=21, size=3, color = "black", fill="#d73027") + 
  geom_text_repel(aes(Axis.1, Axis.2, label = rownames(eixos_mist)))+
  xlab("PCO 1") + ylab("PCO 2") + 
  theme(axis.title.x = element_text(face="bold", size=14),
        axis.text.x = element_text(vjust=0.5, size=12)) + 
  theme(axis.title.y = element_text(face="bold", size=14),
        axis.text.y = element_text(vjust=0.5, size=12)) + 
  geom_hline(yintercept = 0, linetype=2) + 
  geom_vline(xintercept = 0, linetype=2)+ 
  theme(legend.position = "top", legend.title=element_blank()) -> plot_trait_mist
plot_trait_mist

ggsave("trait_mist.pdf", plot_trait_mist, height = 14, width = 14, dpi = 600, units = "cm")
grid.arrange(plot_trait_cat, plot_trait_mist, ncol=2)

#### Métricas de diversidade funcional (alpha)

richness <- dbFD(dist_mist, comun_dat)$nbsp 
## Warning in is.euclid(x.dist): Zero distance(s)

## Warning in is.euclid(x.dist): Zero distance(s)
## FRic: Dimensionality reduction was required. The last 17 PCoA axes (out of 19 in total) were removed.
## Warning in is.euclid(x.dist): Zero distance(s)
## FRic: Quality of the reduced-space representation = 0.3243851
## Warning in is.euclid(x.dist): Zero distance(s)

## Warning in is.euclid(x.dist): Zero distance(s)
## CWM: When 'x' is a distance matrix, CWM cannot be calculated.
dist_mist
##            sp1       sp2       sp3       sp4       sp5       sp6       sp7
## sp2  0.5000000                                                            
## sp3  0.7107801 0.6808389                                                  
## sp4  0.7771900 0.8538292 0.7179711                                        
## sp5  0.6107116 0.7345988 0.7381353 0.5106682                              
## sp6  0.5041691 0.6487320 0.6527339 0.6522593 0.5177440                    
## sp7  0.5041691 0.5809646 0.7137190 0.7132850 0.5177440 0.4082483          
## sp8  0.9574271 0.9128709 0.8447140 0.8106696 0.7689990 0.8466582 0.8466582
## sp9  0.8322170 0.7743619 0.8705685 0.7862568 0.6712758 0.8618286 0.7590006
## sp10 0.8196798 0.8447140 0.8164966 0.7259317 0.6556685 0.7452327 0.8497285
## sp11 0.7381353 0.7658396 0.6755013 0.7674028 0.7671647 0.5971604 0.5971604
## sp12 0.8322170 0.8264198 0.7689102 0.8859268 0.8370252 0.7019605 0.7019605
## sp13 0.6454972 0.7637626 0.8196798 0.7845499 0.6516846 0.6192712 0.6192712
## sp14 0.9128709 0.7637626 0.7395100 0.8605338 0.9172565 0.7959251 0.8466582
## sp15 0.8684391 0.7100609 0.7423352 0.8468228 0.8274814 0.7637626 0.8164966
## sp16 0.8660254 0.8660254 0.6808389 0.6290397 0.7892837 0.7664984 0.8190563
## sp17 0.2886751 0.5773503 0.7671647 0.7771900 0.6107116 0.5809646 0.5809646
## sp18 0.6652707 0.5160455 0.7689102 0.8859268 0.7307151 0.7019605 0.6398556
## sp19 0.7892837 0.6755013 0.8184398 0.7432689 0.8164966 0.7754948 0.7197631
## sp20 0.6149610 0.6479535 0.5381778 0.7674028 0.7671647 0.5971604 0.7233721
## sp21 0.6755013 0.6755013 0.7658396 0.7432689 0.8164966 0.7197631 0.6593372
## sp22 0.6107116 0.6107116 0.7658396 0.8480067 0.7637626 0.5927834 0.5927834
## sp23 0.6573806 0.5906064 0.6921158 0.7395100 0.8199027 0.7096247 0.7096247
## sp24 0.5292494 0.5948301 0.7155949 0.8234825 0.7375481 0.5252793 0.5252793
## sp25 0.8404178 0.7345988 0.7093497 0.7432689 0.6454972 0.7754948 0.7197631
## sp26 0.8886143 0.7892837 0.8184398 0.7973594 0.7071068 0.8274814 0.7754948
## sp27 0.8347284 0.8289488 0.7716277 0.7712263 0.7920294 0.6652707 0.6652707
## sp28 0.6454972 0.7637626 0.7671647 0.8290703 0.7345988 0.5809646 0.5809646
## sp29 0.7137190 0.6839065 0.7100609 0.7660943 0.5971604 0.7107801 0.5818433
## sp30 0.8347284 0.8289488 0.7155949 0.6543114 0.7920294 0.6652707 0.6652707
## sp31 0.8259233 0.6573806 0.8035489 0.8447140 0.8199027 0.7096247 0.7660943
## sp32 0.9213121 0.8259233 0.9013088 0.7938566 0.9159187 0.8680825 0.8186781
## sp33 0.8414675 0.7842952 0.8794158 0.8705685 0.8355590 0.7276576 0.7276576
## sp34 0.7520331 0.7456127 0.6813161 0.6558429 0.7252023 0.6787075 0.5421967
## sp35 0.8322170 0.8264198 0.7689102 0.8859268 0.8370252 0.7019605 0.7019605
## sp36 0.6944209 0.7995447 0.7942658 0.6558429 0.6652707 0.6142561 0.7375481
##            sp8       sp9      sp10      sp11      sp12      sp13      sp14
## sp2                                                                       
## sp3                                                                       
## sp4                                                                       
## sp5                                                                       
## sp6                                                                       
## sp7                                                                       
## sp8                                                                       
## sp9  0.5160455                                                            
## sp10 0.5448624 0.4177992                                                  
## sp11 0.6867080 0.7182727 0.7127595                                        
## sp12 0.5160455 0.7071068 0.7126637 0.4272966                              
## sp13 0.7071068 0.6652707 0.6495191 0.5887001 0.6652707                    
## sp14 0.7637626 0.8264198 0.7938566 0.7449169 0.5913006 0.8660254          
## sp15 0.6192712 0.6950778 0.6560273 0.8051504 0.6950778 0.8945186 0.5478718
## sp16 0.7637626 0.8753873 0.8447140 0.8184398 0.7185423 1.0000000 0.6454972
## sp17 0.9574271 0.8322170 0.8196798 0.7925762 0.8808623 0.6454972 0.9574271
## sp18 0.7743619 0.5773503 0.6515798 0.6577099 0.7071068 0.6652707 0.7185423
## sp19 0.8213969 0.7241058 0.7988958 0.7395100 0.7795271 0.6516846 0.7689990
## sp20 0.8971628 0.8261854 0.7127595 0.6454972 0.7182727 0.7164039 0.6230847
## sp21 0.8213969 0.7795271 0.8494515 0.6808389 0.7241058 0.5842598 0.7689990
## sp22 0.7127595 0.7241058 0.7449169 0.5448624 0.5980489 0.4179627 0.7689990
## sp23 0.8814629 0.8425832 0.8605338 0.7432689 0.7915890 0.6660657 0.7259317
## sp24 0.7526397 0.7417301 0.7470295 0.5253079 0.6192712 0.3992684 0.8061016
## sp25 0.7127595 0.6640752 0.7449169 0.7395100 0.7241058 0.8706470 0.7127595
## sp26 0.5842598 0.6640752 0.7449169 0.8447140 0.7241058 0.9172565 0.7127595
## sp27 0.6950778 0.8466582 0.8513047 0.5253079 0.5478718 0.7590006 0.6950778
## sp28 0.8164966 0.7805458 0.7671647 0.6793455 0.7805458 0.5773503 0.8660254
## sp29 0.8248465 0.6256088 0.7417301 0.7197631 0.8008660 0.7452327 0.8248465
## sp30 0.7526397 0.7959251 0.8008660 0.5994011 0.7417301 0.7590006 0.7526397
## sp31 0.7259317 0.6781935 0.6381106 0.7432689 0.7370752 0.7812235 0.6002584
## sp32 0.7259317 0.7370752 0.8106696 0.8480067 0.7370752 0.8814629 0.6002584
## sp33 0.6136882 0.6660657 0.6719621 0.7165635 0.6002584 0.7435692 0.6136882
## sp34 0.8312616 0.7689990 0.8751661 0.5078283 0.6516846 0.7856703 0.6640752
## sp35 0.5160455 0.7071068 0.7126637 0.4272966 0.0000000 0.6652707 0.5913006
## sp36 0.7241058 0.8213969 0.7182727 0.7126637 0.7127595 0.7307151 0.7241058
##           sp15      sp16      sp17      sp18      sp19      sp20      sp21
## sp2                                                                       
## sp3                                                                       
## sp4                                                                       
## sp5                                                                       
## sp6                                                                       
## sp7                                                                       
## sp8                                                                       
## sp9                                                                       
## sp10                                                                      
## sp11                                                                      
## sp12                                                                      
## sp13                                                                      
## sp14                                                                      
## sp15                                                                      
## sp16 0.6487320                                                            
## sp17 0.9151611 0.9128709                                                  
## sp18 0.6950778 0.9217572 0.7252023                                        
## sp19 0.8763897 0.8404178 0.7345988 0.6640752                              
## sp20 0.8051504 0.7658396 0.6793455 0.6577099 0.6808389                    
## sp21 0.8763897 0.7892837 0.7345988 0.6640752 0.4082483 0.6808389          
## sp22 0.7754948 0.8886143 0.6755013 0.5980489 0.5773503 0.6808389 0.4082483
## sp23 0.8186781 0.7738320 0.7179711 0.6136882 0.5055430 0.6849200 0.2981729
## sp24 0.7743619 0.8777753 0.6028584 0.6192712 0.6063788 0.6652932 0.4483621
## sp25 0.6593372 0.6755013 0.7892837 0.7241058 0.8164966 0.8447140 0.8660254
## sp26 0.5177440 0.6755013 0.8404178 0.7241058 0.8660254 0.9381942 0.9128709
## sp27 0.7185423 0.7214496 0.7832230 0.8466582 0.7859359 0.7805650 0.8372745
## sp28 0.7664984 0.9128709 0.5773503 0.7252023 0.7345988 0.7381353 0.7345988
## sp29 0.7395100 0.7964891 0.6527339 0.6889991 0.6939744 0.7197631 0.8051504
## sp30 0.7743619 0.7770604 0.7832230 0.7959251 0.6715866 0.7252230 0.7310006
## sp31 0.5035545 0.8259233 0.7738320 0.6136882 0.7110371 0.7432689 0.8199027
## sp32 0.6482545 0.6573806 0.8749186 0.7915890 0.5821572 0.7973594 0.7110371
## sp33 0.5194903 0.7842952 0.7904013 0.7259317 0.7224104 0.7725261 0.8297852
## sp34 0.8372745 0.6874627 0.8055353 0.7127595 0.7185423 0.6515798 0.6580043
## sp35 0.6950778 0.7185423 0.8808623 0.7071068 0.7795271 0.7182727 0.7241058
## sp36 0.6063788 0.6874627 0.7520331 0.8213969 0.8753873 0.7689102 0.7743619
##           sp22      sp23      sp24      sp25      sp26      sp27      sp28
## sp2                                                                       
## sp3                                                                       
## sp4                                                                       
## sp5                                                                       
## sp6                                                                       
## sp7                                                                       
## sp8                                                                       
## sp9                                                                       
## sp10                                                                      
## sp11                                                                      
## sp12                                                                      
## sp13                                                                      
## sp14                                                                      
## sp15                                                                      
## sp16                                                                      
## sp17                                                                      
## sp18                                                                      
## sp19                                                                      
## sp20                                                                      
## sp21                                                                      
## sp22                                                                      
## sp23 0.5055430                                                            
## sp24 0.1853695 0.5194903                                                  
## sp25 0.8164966 0.8199027 0.8372745                                        
## sp26 0.8660254 0.8692374 0.8856421 0.4082483                              
## sp27 0.7310006 0.8774225 0.7071068 0.6715866 0.6715866                    
## sp28 0.6107116 0.7738320 0.5292494 0.7892837 0.7892837 0.6028584          
## sp29 0.7516208 0.8468228 0.7126637 0.5611897 0.6939744 0.6515798 0.5854299
## sp30 0.7310006 0.7766618 0.7071068 0.7310006 0.7310006 0.5000000 0.5292494
## sp31 0.7110371 0.7637626 0.7210202 0.5821572 0.5821572 0.6607094 0.5906064
## sp32 0.8199027 0.7637626 0.8285752 0.7674028 0.6498003 0.6607094 0.7179711
## sp33 0.7224104 0.8753873 0.7096247 0.7224104 0.5959950 0.5035545 0.5398157
## sp34 0.7185423 0.7224104 0.7197631 0.6580043 0.7743619 0.5927834 0.7520331
## sp35 0.5980489 0.7915890 0.6192712 0.7241058 0.7241058 0.5478718 0.7805458
## sp36 0.6580043 0.7779525 0.6593372 0.7743619 0.7185423 0.6593372 0.7520331
##           sp29      sp30      sp31      sp32      sp33      sp34      sp35
## sp2                                                                       
## sp3                                                                       
## sp4                                                                       
## sp5                                                                       
## sp6                                                                       
## sp7                                                                       
## sp8                                                                       
## sp9                                                                       
## sp10                                                                      
## sp11                                                                      
## sp12                                                                      
## sp13                                                                      
## sp14                                                                      
## sp15                                                                      
## sp16                                                                      
## sp17                                                                      
## sp18                                                                      
## sp19                                                                      
## sp20                                                                      
## sp21                                                                      
## sp22                                                                      
## sp23                                                                      
## sp24                                                                      
## sp25                                                                      
## sp26                                                                      
## sp27                                                                      
## sp28                                                                      
## sp29                                                                      
## sp30 0.7126637                                                            
## sp31 0.6834536 0.5943093                                                  
## sp32 0.7419179 0.5943093 0.5773503                                        
## sp33 0.6543114 0.5804313 0.4277495 0.4277495                              
## sp34 0.6652932 0.5177440 0.7779525 0.7224104 0.7674028                    
## sp35 0.8008660 0.7417301 0.7370752 0.7370752 0.6002584 0.6516846          
## sp36 0.7805650 0.7754948 0.7779525 0.8297852 0.7110371 0.7637626 0.7127595
fric <- dbFD(dist_mist, comun_dat)$FRic
## Warning in is.euclid(x.dist): Zero distance(s)

## Warning in is.euclid(x.dist): Zero distance(s)
## FRic: Dimensionality reduction was required. The last 17 PCoA axes (out of 19 in total) were removed.
## Warning in is.euclid(x.dist): Zero distance(s)
## FRic: Quality of the reduced-space representation = 0.3243851
## Warning in is.euclid(x.dist): Zero distance(s)

## Warning in is.euclid(x.dist): Zero distance(s)
## CWM: When 'x' is a distance matrix, CWM cannot be calculated.
dend <- hclust(dist_mist, "average")
tree_dend <-as.phylo(dend)
FD <- pd(comun_dat, tree_dend)$PD

Divergência Funcional - Análise

library(FD)
library(tidyverse)
library(ecodados)
library(vegan)
library(SYNCSA)
## Warning: package 'SYNCSA' was built under R version 4.1.3
dist_mist
##            sp1       sp2       sp3       sp4       sp5       sp6       sp7
## sp2  0.5000000                                                            
## sp3  0.7107801 0.6808389                                                  
## sp4  0.7771900 0.8538292 0.7179711                                        
## sp5  0.6107116 0.7345988 0.7381353 0.5106682                              
## sp6  0.5041691 0.6487320 0.6527339 0.6522593 0.5177440                    
## sp7  0.5041691 0.5809646 0.7137190 0.7132850 0.5177440 0.4082483          
## sp8  0.9574271 0.9128709 0.8447140 0.8106696 0.7689990 0.8466582 0.8466582
## sp9  0.8322170 0.7743619 0.8705685 0.7862568 0.6712758 0.8618286 0.7590006
## sp10 0.8196798 0.8447140 0.8164966 0.7259317 0.6556685 0.7452327 0.8497285
## sp11 0.7381353 0.7658396 0.6755013 0.7674028 0.7671647 0.5971604 0.5971604
## sp12 0.8322170 0.8264198 0.7689102 0.8859268 0.8370252 0.7019605 0.7019605
## sp13 0.6454972 0.7637626 0.8196798 0.7845499 0.6516846 0.6192712 0.6192712
## sp14 0.9128709 0.7637626 0.7395100 0.8605338 0.9172565 0.7959251 0.8466582
## sp15 0.8684391 0.7100609 0.7423352 0.8468228 0.8274814 0.7637626 0.8164966
## sp16 0.8660254 0.8660254 0.6808389 0.6290397 0.7892837 0.7664984 0.8190563
## sp17 0.2886751 0.5773503 0.7671647 0.7771900 0.6107116 0.5809646 0.5809646
## sp18 0.6652707 0.5160455 0.7689102 0.8859268 0.7307151 0.7019605 0.6398556
## sp19 0.7892837 0.6755013 0.8184398 0.7432689 0.8164966 0.7754948 0.7197631
## sp20 0.6149610 0.6479535 0.5381778 0.7674028 0.7671647 0.5971604 0.7233721
## sp21 0.6755013 0.6755013 0.7658396 0.7432689 0.8164966 0.7197631 0.6593372
## sp22 0.6107116 0.6107116 0.7658396 0.8480067 0.7637626 0.5927834 0.5927834
## sp23 0.6573806 0.5906064 0.6921158 0.7395100 0.8199027 0.7096247 0.7096247
## sp24 0.5292494 0.5948301 0.7155949 0.8234825 0.7375481 0.5252793 0.5252793
## sp25 0.8404178 0.7345988 0.7093497 0.7432689 0.6454972 0.7754948 0.7197631
## sp26 0.8886143 0.7892837 0.8184398 0.7973594 0.7071068 0.8274814 0.7754948
## sp27 0.8347284 0.8289488 0.7716277 0.7712263 0.7920294 0.6652707 0.6652707
## sp28 0.6454972 0.7637626 0.7671647 0.8290703 0.7345988 0.5809646 0.5809646
## sp29 0.7137190 0.6839065 0.7100609 0.7660943 0.5971604 0.7107801 0.5818433
## sp30 0.8347284 0.8289488 0.7155949 0.6543114 0.7920294 0.6652707 0.6652707
## sp31 0.8259233 0.6573806 0.8035489 0.8447140 0.8199027 0.7096247 0.7660943
## sp32 0.9213121 0.8259233 0.9013088 0.7938566 0.9159187 0.8680825 0.8186781
## sp33 0.8414675 0.7842952 0.8794158 0.8705685 0.8355590 0.7276576 0.7276576
## sp34 0.7520331 0.7456127 0.6813161 0.6558429 0.7252023 0.6787075 0.5421967
## sp35 0.8322170 0.8264198 0.7689102 0.8859268 0.8370252 0.7019605 0.7019605
## sp36 0.6944209 0.7995447 0.7942658 0.6558429 0.6652707 0.6142561 0.7375481
##            sp8       sp9      sp10      sp11      sp12      sp13      sp14
## sp2                                                                       
## sp3                                                                       
## sp4                                                                       
## sp5                                                                       
## sp6                                                                       
## sp7                                                                       
## sp8                                                                       
## sp9  0.5160455                                                            
## sp10 0.5448624 0.4177992                                                  
## sp11 0.6867080 0.7182727 0.7127595                                        
## sp12 0.5160455 0.7071068 0.7126637 0.4272966                              
## sp13 0.7071068 0.6652707 0.6495191 0.5887001 0.6652707                    
## sp14 0.7637626 0.8264198 0.7938566 0.7449169 0.5913006 0.8660254          
## sp15 0.6192712 0.6950778 0.6560273 0.8051504 0.6950778 0.8945186 0.5478718
## sp16 0.7637626 0.8753873 0.8447140 0.8184398 0.7185423 1.0000000 0.6454972
## sp17 0.9574271 0.8322170 0.8196798 0.7925762 0.8808623 0.6454972 0.9574271
## sp18 0.7743619 0.5773503 0.6515798 0.6577099 0.7071068 0.6652707 0.7185423
## sp19 0.8213969 0.7241058 0.7988958 0.7395100 0.7795271 0.6516846 0.7689990
## sp20 0.8971628 0.8261854 0.7127595 0.6454972 0.7182727 0.7164039 0.6230847
## sp21 0.8213969 0.7795271 0.8494515 0.6808389 0.7241058 0.5842598 0.7689990
## sp22 0.7127595 0.7241058 0.7449169 0.5448624 0.5980489 0.4179627 0.7689990
## sp23 0.8814629 0.8425832 0.8605338 0.7432689 0.7915890 0.6660657 0.7259317
## sp24 0.7526397 0.7417301 0.7470295 0.5253079 0.6192712 0.3992684 0.8061016
## sp25 0.7127595 0.6640752 0.7449169 0.7395100 0.7241058 0.8706470 0.7127595
## sp26 0.5842598 0.6640752 0.7449169 0.8447140 0.7241058 0.9172565 0.7127595
## sp27 0.6950778 0.8466582 0.8513047 0.5253079 0.5478718 0.7590006 0.6950778
## sp28 0.8164966 0.7805458 0.7671647 0.6793455 0.7805458 0.5773503 0.8660254
## sp29 0.8248465 0.6256088 0.7417301 0.7197631 0.8008660 0.7452327 0.8248465
## sp30 0.7526397 0.7959251 0.8008660 0.5994011 0.7417301 0.7590006 0.7526397
## sp31 0.7259317 0.6781935 0.6381106 0.7432689 0.7370752 0.7812235 0.6002584
## sp32 0.7259317 0.7370752 0.8106696 0.8480067 0.7370752 0.8814629 0.6002584
## sp33 0.6136882 0.6660657 0.6719621 0.7165635 0.6002584 0.7435692 0.6136882
## sp34 0.8312616 0.7689990 0.8751661 0.5078283 0.6516846 0.7856703 0.6640752
## sp35 0.5160455 0.7071068 0.7126637 0.4272966 0.0000000 0.6652707 0.5913006
## sp36 0.7241058 0.8213969 0.7182727 0.7126637 0.7127595 0.7307151 0.7241058
##           sp15      sp16      sp17      sp18      sp19      sp20      sp21
## sp2                                                                       
## sp3                                                                       
## sp4                                                                       
## sp5                                                                       
## sp6                                                                       
## sp7                                                                       
## sp8                                                                       
## sp9                                                                       
## sp10                                                                      
## sp11                                                                      
## sp12                                                                      
## sp13                                                                      
## sp14                                                                      
## sp15                                                                      
## sp16 0.6487320                                                            
## sp17 0.9151611 0.9128709                                                  
## sp18 0.6950778 0.9217572 0.7252023                                        
## sp19 0.8763897 0.8404178 0.7345988 0.6640752                              
## sp20 0.8051504 0.7658396 0.6793455 0.6577099 0.6808389                    
## sp21 0.8763897 0.7892837 0.7345988 0.6640752 0.4082483 0.6808389          
## sp22 0.7754948 0.8886143 0.6755013 0.5980489 0.5773503 0.6808389 0.4082483
## sp23 0.8186781 0.7738320 0.7179711 0.6136882 0.5055430 0.6849200 0.2981729
## sp24 0.7743619 0.8777753 0.6028584 0.6192712 0.6063788 0.6652932 0.4483621
## sp25 0.6593372 0.6755013 0.7892837 0.7241058 0.8164966 0.8447140 0.8660254
## sp26 0.5177440 0.6755013 0.8404178 0.7241058 0.8660254 0.9381942 0.9128709
## sp27 0.7185423 0.7214496 0.7832230 0.8466582 0.7859359 0.7805650 0.8372745
## sp28 0.7664984 0.9128709 0.5773503 0.7252023 0.7345988 0.7381353 0.7345988
## sp29 0.7395100 0.7964891 0.6527339 0.6889991 0.6939744 0.7197631 0.8051504
## sp30 0.7743619 0.7770604 0.7832230 0.7959251 0.6715866 0.7252230 0.7310006
## sp31 0.5035545 0.8259233 0.7738320 0.6136882 0.7110371 0.7432689 0.8199027
## sp32 0.6482545 0.6573806 0.8749186 0.7915890 0.5821572 0.7973594 0.7110371
## sp33 0.5194903 0.7842952 0.7904013 0.7259317 0.7224104 0.7725261 0.8297852
## sp34 0.8372745 0.6874627 0.8055353 0.7127595 0.7185423 0.6515798 0.6580043
## sp35 0.6950778 0.7185423 0.8808623 0.7071068 0.7795271 0.7182727 0.7241058
## sp36 0.6063788 0.6874627 0.7520331 0.8213969 0.8753873 0.7689102 0.7743619
##           sp22      sp23      sp24      sp25      sp26      sp27      sp28
## sp2                                                                       
## sp3                                                                       
## sp4                                                                       
## sp5                                                                       
## sp6                                                                       
## sp7                                                                       
## sp8                                                                       
## sp9                                                                       
## sp10                                                                      
## sp11                                                                      
## sp12                                                                      
## sp13                                                                      
## sp14                                                                      
## sp15                                                                      
## sp16                                                                      
## sp17                                                                      
## sp18                                                                      
## sp19                                                                      
## sp20                                                                      
## sp21                                                                      
## sp22                                                                      
## sp23 0.5055430                                                            
## sp24 0.1853695 0.5194903                                                  
## sp25 0.8164966 0.8199027 0.8372745                                        
## sp26 0.8660254 0.8692374 0.8856421 0.4082483                              
## sp27 0.7310006 0.8774225 0.7071068 0.6715866 0.6715866                    
## sp28 0.6107116 0.7738320 0.5292494 0.7892837 0.7892837 0.6028584          
## sp29 0.7516208 0.8468228 0.7126637 0.5611897 0.6939744 0.6515798 0.5854299
## sp30 0.7310006 0.7766618 0.7071068 0.7310006 0.7310006 0.5000000 0.5292494
## sp31 0.7110371 0.7637626 0.7210202 0.5821572 0.5821572 0.6607094 0.5906064
## sp32 0.8199027 0.7637626 0.8285752 0.7674028 0.6498003 0.6607094 0.7179711
## sp33 0.7224104 0.8753873 0.7096247 0.7224104 0.5959950 0.5035545 0.5398157
## sp34 0.7185423 0.7224104 0.7197631 0.6580043 0.7743619 0.5927834 0.7520331
## sp35 0.5980489 0.7915890 0.6192712 0.7241058 0.7241058 0.5478718 0.7805458
## sp36 0.6580043 0.7779525 0.6593372 0.7743619 0.7185423 0.6593372 0.7520331
##           sp29      sp30      sp31      sp32      sp33      sp34      sp35
## sp2                                                                       
## sp3                                                                       
## sp4                                                                       
## sp5                                                                       
## sp6                                                                       
## sp7                                                                       
## sp8                                                                       
## sp9                                                                       
## sp10                                                                      
## sp11                                                                      
## sp12                                                                      
## sp13                                                                      
## sp14                                                                      
## sp15                                                                      
## sp16                                                                      
## sp17                                                                      
## sp18                                                                      
## sp19                                                                      
## sp20                                                                      
## sp21                                                                      
## sp22                                                                      
## sp23                                                                      
## sp24                                                                      
## sp25                                                                      
## sp26                                                                      
## sp27                                                                      
## sp28                                                                      
## sp29                                                                      
## sp30 0.7126637                                                            
## sp31 0.6834536 0.5943093                                                  
## sp32 0.7419179 0.5943093 0.5773503                                        
## sp33 0.6543114 0.5804313 0.4277495 0.4277495                              
## sp34 0.6652932 0.5177440 0.7779525 0.7224104 0.7674028                    
## sp35 0.8008660 0.7417301 0.7370752 0.7370752 0.6002584 0.6516846          
## sp36 0.7805650 0.7754948 0.7779525 0.8297852 0.7110371 0.7637626 0.7127595
fdiv <- dbFD(dist_mist, comun_dat)$FDiv
## Warning in is.euclid(x.dist): Zero distance(s)

## Warning in is.euclid(x.dist): Zero distance(s)
## FRic: Dimensionality reduction was required. The last 17 PCoA axes (out of 19 in total) were removed.
## Warning in is.euclid(x.dist): Zero distance(s)
## FRic: Quality of the reduced-space representation = 0.3243851
## Warning in is.euclid(x.dist): Zero distance(s)

## Warning in is.euclid(x.dist): Zero distance(s)
## CWM: When 'x' is a distance matrix, CWM cannot be calculated.
fdis <- dbFD(dist_mist, comun_dat)$FDis
## Warning in is.euclid(x.dist): Zero distance(s)

## Warning in is.euclid(x.dist): Zero distance(s)
## FRic: Dimensionality reduction was required. The last 17 PCoA axes (out of 19 in total) were removed.
## Warning in is.euclid(x.dist): Zero distance(s)
## FRic: Quality of the reduced-space representation = 0.3243851
## Warning in is.euclid(x.dist): Zero distance(s)

## Warning in is.euclid(x.dist): Zero distance(s)
## CWM: When 'x' is a distance matrix, CWM cannot be calculated.

Regularidade funcional - Análise

library(FD)
library(tidyverse)
library(ecodados)
library(vegan)
library(GGally)
## Warning: package 'GGally' was built under R version 4.1.3
## Registered S3 method overwritten by 'GGally':
##   method from   
##   +.gg   ggplot2
dist_mist
##            sp1       sp2       sp3       sp4       sp5       sp6       sp7
## sp2  0.5000000                                                            
## sp3  0.7107801 0.6808389                                                  
## sp4  0.7771900 0.8538292 0.7179711                                        
## sp5  0.6107116 0.7345988 0.7381353 0.5106682                              
## sp6  0.5041691 0.6487320 0.6527339 0.6522593 0.5177440                    
## sp7  0.5041691 0.5809646 0.7137190 0.7132850 0.5177440 0.4082483          
## sp8  0.9574271 0.9128709 0.8447140 0.8106696 0.7689990 0.8466582 0.8466582
## sp9  0.8322170 0.7743619 0.8705685 0.7862568 0.6712758 0.8618286 0.7590006
## sp10 0.8196798 0.8447140 0.8164966 0.7259317 0.6556685 0.7452327 0.8497285
## sp11 0.7381353 0.7658396 0.6755013 0.7674028 0.7671647 0.5971604 0.5971604
## sp12 0.8322170 0.8264198 0.7689102 0.8859268 0.8370252 0.7019605 0.7019605
## sp13 0.6454972 0.7637626 0.8196798 0.7845499 0.6516846 0.6192712 0.6192712
## sp14 0.9128709 0.7637626 0.7395100 0.8605338 0.9172565 0.7959251 0.8466582
## sp15 0.8684391 0.7100609 0.7423352 0.8468228 0.8274814 0.7637626 0.8164966
## sp16 0.8660254 0.8660254 0.6808389 0.6290397 0.7892837 0.7664984 0.8190563
## sp17 0.2886751 0.5773503 0.7671647 0.7771900 0.6107116 0.5809646 0.5809646
## sp18 0.6652707 0.5160455 0.7689102 0.8859268 0.7307151 0.7019605 0.6398556
## sp19 0.7892837 0.6755013 0.8184398 0.7432689 0.8164966 0.7754948 0.7197631
## sp20 0.6149610 0.6479535 0.5381778 0.7674028 0.7671647 0.5971604 0.7233721
## sp21 0.6755013 0.6755013 0.7658396 0.7432689 0.8164966 0.7197631 0.6593372
## sp22 0.6107116 0.6107116 0.7658396 0.8480067 0.7637626 0.5927834 0.5927834
## sp23 0.6573806 0.5906064 0.6921158 0.7395100 0.8199027 0.7096247 0.7096247
## sp24 0.5292494 0.5948301 0.7155949 0.8234825 0.7375481 0.5252793 0.5252793
## sp25 0.8404178 0.7345988 0.7093497 0.7432689 0.6454972 0.7754948 0.7197631
## sp26 0.8886143 0.7892837 0.8184398 0.7973594 0.7071068 0.8274814 0.7754948
## sp27 0.8347284 0.8289488 0.7716277 0.7712263 0.7920294 0.6652707 0.6652707
## sp28 0.6454972 0.7637626 0.7671647 0.8290703 0.7345988 0.5809646 0.5809646
## sp29 0.7137190 0.6839065 0.7100609 0.7660943 0.5971604 0.7107801 0.5818433
## sp30 0.8347284 0.8289488 0.7155949 0.6543114 0.7920294 0.6652707 0.6652707
## sp31 0.8259233 0.6573806 0.8035489 0.8447140 0.8199027 0.7096247 0.7660943
## sp32 0.9213121 0.8259233 0.9013088 0.7938566 0.9159187 0.8680825 0.8186781
## sp33 0.8414675 0.7842952 0.8794158 0.8705685 0.8355590 0.7276576 0.7276576
## sp34 0.7520331 0.7456127 0.6813161 0.6558429 0.7252023 0.6787075 0.5421967
## sp35 0.8322170 0.8264198 0.7689102 0.8859268 0.8370252 0.7019605 0.7019605
## sp36 0.6944209 0.7995447 0.7942658 0.6558429 0.6652707 0.6142561 0.7375481
##            sp8       sp9      sp10      sp11      sp12      sp13      sp14
## sp2                                                                       
## sp3                                                                       
## sp4                                                                       
## sp5                                                                       
## sp6                                                                       
## sp7                                                                       
## sp8                                                                       
## sp9  0.5160455                                                            
## sp10 0.5448624 0.4177992                                                  
## sp11 0.6867080 0.7182727 0.7127595                                        
## sp12 0.5160455 0.7071068 0.7126637 0.4272966                              
## sp13 0.7071068 0.6652707 0.6495191 0.5887001 0.6652707                    
## sp14 0.7637626 0.8264198 0.7938566 0.7449169 0.5913006 0.8660254          
## sp15 0.6192712 0.6950778 0.6560273 0.8051504 0.6950778 0.8945186 0.5478718
## sp16 0.7637626 0.8753873 0.8447140 0.8184398 0.7185423 1.0000000 0.6454972
## sp17 0.9574271 0.8322170 0.8196798 0.7925762 0.8808623 0.6454972 0.9574271
## sp18 0.7743619 0.5773503 0.6515798 0.6577099 0.7071068 0.6652707 0.7185423
## sp19 0.8213969 0.7241058 0.7988958 0.7395100 0.7795271 0.6516846 0.7689990
## sp20 0.8971628 0.8261854 0.7127595 0.6454972 0.7182727 0.7164039 0.6230847
## sp21 0.8213969 0.7795271 0.8494515 0.6808389 0.7241058 0.5842598 0.7689990
## sp22 0.7127595 0.7241058 0.7449169 0.5448624 0.5980489 0.4179627 0.7689990
## sp23 0.8814629 0.8425832 0.8605338 0.7432689 0.7915890 0.6660657 0.7259317
## sp24 0.7526397 0.7417301 0.7470295 0.5253079 0.6192712 0.3992684 0.8061016
## sp25 0.7127595 0.6640752 0.7449169 0.7395100 0.7241058 0.8706470 0.7127595
## sp26 0.5842598 0.6640752 0.7449169 0.8447140 0.7241058 0.9172565 0.7127595
## sp27 0.6950778 0.8466582 0.8513047 0.5253079 0.5478718 0.7590006 0.6950778
## sp28 0.8164966 0.7805458 0.7671647 0.6793455 0.7805458 0.5773503 0.8660254
## sp29 0.8248465 0.6256088 0.7417301 0.7197631 0.8008660 0.7452327 0.8248465
## sp30 0.7526397 0.7959251 0.8008660 0.5994011 0.7417301 0.7590006 0.7526397
## sp31 0.7259317 0.6781935 0.6381106 0.7432689 0.7370752 0.7812235 0.6002584
## sp32 0.7259317 0.7370752 0.8106696 0.8480067 0.7370752 0.8814629 0.6002584
## sp33 0.6136882 0.6660657 0.6719621 0.7165635 0.6002584 0.7435692 0.6136882
## sp34 0.8312616 0.7689990 0.8751661 0.5078283 0.6516846 0.7856703 0.6640752
## sp35 0.5160455 0.7071068 0.7126637 0.4272966 0.0000000 0.6652707 0.5913006
## sp36 0.7241058 0.8213969 0.7182727 0.7126637 0.7127595 0.7307151 0.7241058
##           sp15      sp16      sp17      sp18      sp19      sp20      sp21
## sp2                                                                       
## sp3                                                                       
## sp4                                                                       
## sp5                                                                       
## sp6                                                                       
## sp7                                                                       
## sp8                                                                       
## sp9                                                                       
## sp10                                                                      
## sp11                                                                      
## sp12                                                                      
## sp13                                                                      
## sp14                                                                      
## sp15                                                                      
## sp16 0.6487320                                                            
## sp17 0.9151611 0.9128709                                                  
## sp18 0.6950778 0.9217572 0.7252023                                        
## sp19 0.8763897 0.8404178 0.7345988 0.6640752                              
## sp20 0.8051504 0.7658396 0.6793455 0.6577099 0.6808389                    
## sp21 0.8763897 0.7892837 0.7345988 0.6640752 0.4082483 0.6808389          
## sp22 0.7754948 0.8886143 0.6755013 0.5980489 0.5773503 0.6808389 0.4082483
## sp23 0.8186781 0.7738320 0.7179711 0.6136882 0.5055430 0.6849200 0.2981729
## sp24 0.7743619 0.8777753 0.6028584 0.6192712 0.6063788 0.6652932 0.4483621
## sp25 0.6593372 0.6755013 0.7892837 0.7241058 0.8164966 0.8447140 0.8660254
## sp26 0.5177440 0.6755013 0.8404178 0.7241058 0.8660254 0.9381942 0.9128709
## sp27 0.7185423 0.7214496 0.7832230 0.8466582 0.7859359 0.7805650 0.8372745
## sp28 0.7664984 0.9128709 0.5773503 0.7252023 0.7345988 0.7381353 0.7345988
## sp29 0.7395100 0.7964891 0.6527339 0.6889991 0.6939744 0.7197631 0.8051504
## sp30 0.7743619 0.7770604 0.7832230 0.7959251 0.6715866 0.7252230 0.7310006
## sp31 0.5035545 0.8259233 0.7738320 0.6136882 0.7110371 0.7432689 0.8199027
## sp32 0.6482545 0.6573806 0.8749186 0.7915890 0.5821572 0.7973594 0.7110371
## sp33 0.5194903 0.7842952 0.7904013 0.7259317 0.7224104 0.7725261 0.8297852
## sp34 0.8372745 0.6874627 0.8055353 0.7127595 0.7185423 0.6515798 0.6580043
## sp35 0.6950778 0.7185423 0.8808623 0.7071068 0.7795271 0.7182727 0.7241058
## sp36 0.6063788 0.6874627 0.7520331 0.8213969 0.8753873 0.7689102 0.7743619
##           sp22      sp23      sp24      sp25      sp26      sp27      sp28
## sp2                                                                       
## sp3                                                                       
## sp4                                                                       
## sp5                                                                       
## sp6                                                                       
## sp7                                                                       
## sp8                                                                       
## sp9                                                                       
## sp10                                                                      
## sp11                                                                      
## sp12                                                                      
## sp13                                                                      
## sp14                                                                      
## sp15                                                                      
## sp16                                                                      
## sp17                                                                      
## sp18                                                                      
## sp19                                                                      
## sp20                                                                      
## sp21                                                                      
## sp22                                                                      
## sp23 0.5055430                                                            
## sp24 0.1853695 0.5194903                                                  
## sp25 0.8164966 0.8199027 0.8372745                                        
## sp26 0.8660254 0.8692374 0.8856421 0.4082483                              
## sp27 0.7310006 0.8774225 0.7071068 0.6715866 0.6715866                    
## sp28 0.6107116 0.7738320 0.5292494 0.7892837 0.7892837 0.6028584          
## sp29 0.7516208 0.8468228 0.7126637 0.5611897 0.6939744 0.6515798 0.5854299
## sp30 0.7310006 0.7766618 0.7071068 0.7310006 0.7310006 0.5000000 0.5292494
## sp31 0.7110371 0.7637626 0.7210202 0.5821572 0.5821572 0.6607094 0.5906064
## sp32 0.8199027 0.7637626 0.8285752 0.7674028 0.6498003 0.6607094 0.7179711
## sp33 0.7224104 0.8753873 0.7096247 0.7224104 0.5959950 0.5035545 0.5398157
## sp34 0.7185423 0.7224104 0.7197631 0.6580043 0.7743619 0.5927834 0.7520331
## sp35 0.5980489 0.7915890 0.6192712 0.7241058 0.7241058 0.5478718 0.7805458
## sp36 0.6580043 0.7779525 0.6593372 0.7743619 0.7185423 0.6593372 0.7520331
##           sp29      sp30      sp31      sp32      sp33      sp34      sp35
## sp2                                                                       
## sp3                                                                       
## sp4                                                                       
## sp5                                                                       
## sp6                                                                       
## sp7                                                                       
## sp8                                                                       
## sp9                                                                       
## sp10                                                                      
## sp11                                                                      
## sp12                                                                      
## sp13                                                                      
## sp14                                                                      
## sp15                                                                      
## sp16                                                                      
## sp17                                                                      
## sp18                                                                      
## sp19                                                                      
## sp20                                                                      
## sp21                                                                      
## sp22                                                                      
## sp23                                                                      
## sp24                                                                      
## sp25                                                                      
## sp26                                                                      
## sp27                                                                      
## sp28                                                                      
## sp29                                                                      
## sp30 0.7126637                                                            
## sp31 0.6834536 0.5943093                                                  
## sp32 0.7419179 0.5943093 0.5773503                                        
## sp33 0.6543114 0.5804313 0.4277495 0.4277495                              
## sp34 0.6652932 0.5177440 0.7779525 0.7224104 0.7674028                    
## sp35 0.8008660 0.7417301 0.7370752 0.7370752 0.6002584 0.6516846          
## sp36 0.7805650 0.7754948 0.7779525 0.8297852 0.7110371 0.7637626 0.7127595
feve <- dbFD(dist_mist, comun_dat)$FEve
## Warning in is.euclid(x.dist): Zero distance(s)

## Warning in is.euclid(x.dist): Zero distance(s)
## FRic: Dimensionality reduction was required. The last 17 PCoA axes (out of 19 in total) were removed.
## Warning in is.euclid(x.dist): Zero distance(s)
## FRic: Quality of the reduced-space representation = 0.3243851
## Warning in is.euclid(x.dist): Zero distance(s)

## Warning in is.euclid(x.dist): Zero distance(s)
## CWM: When 'x' is a distance matrix, CWM cannot be calculated.
locais <- rownames(comun_dat)
metricas <- data.frame(richness=richness,
                       FD_gp = FD,
                       fric = fric,
                       fdiv = fdiv,
                       fdis = fdis,
                       feve = feve)
ggpairs(metricas)

Métricas de diversidade funcionak (beta)

library(FD)
library(tidyverse)
library(ecodados)
library(vegan)
library(GGally)
library(betapart)
library(vegan)
comun_fren_pa <- as.matrix(decostand(comun_fren_dat, "pa"))
trait <- as.matrix(trait_fren_dat)
 
rowSums(comun_fren_pa)>ncol(trait)
##    1    2    3    4    5    6    7    8    9   10   11   12   13   14   15   17 
## TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE 
##   18   19   20   21   22   23   24   25   26   27   28   29   31   32   33   34 
## TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE 
##   41   42   43   44   45   46   47   48   49   50   51   53   54   55 
## TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
cwm_fren <- functcomp(trait_pad, as.matrix(comun_fren_dat))
cwm_fren
##             LA         SLA         LDMC         LN15         LCC
## 1  -0.24117001 -0.34855154  0.197452005  0.187400303 -0.53673676
## 2  -0.39773712  0.23266219 -0.090932698 -0.285977720  0.16431901
## 3  -0.18571342  0.20107562 -0.398772647 -0.125064251 -0.43046175
## 4  -0.22840640  0.16041005  0.804963068 -0.370425340  0.71938526
## 5  -0.16647900  0.34869559  0.022322127 -0.204193092  0.20513913
## 6  -0.32588213  0.36645830  0.049968287 -0.335257153  0.47130894
## 7  -0.43197058 -0.25619948  0.882004760  0.096681649  0.42065181
## 8  -0.33857863  1.12929965  0.278478893 -0.339493573  0.35571124
## 9  -0.40637654  0.66868021  0.377931295 -0.759687717  0.67746099
## 10 -0.33465801  0.26219601  0.683907823 -0.531993528  0.48456065
## 11 -0.35362891  0.44031044 -0.098078566 -0.447057493  0.25490829
## 12 -0.17542712  0.46363786 -0.252119368 -0.375615215  0.03807885
## 13 -0.23670889  0.64165706 -0.243427434 -0.510792769  0.16037083
## 14 -0.17552077  0.38780017 -0.221048163 -0.169623873 -0.11858724
## 15 -0.13274039  0.36304974 -0.049173336 -0.254725433 -0.03772986
## 17  0.01771351  0.87327677 -0.145441057 -0.489096566  0.08335821
## 18  1.03239586  0.50046791 -0.426467881 -0.416310755  0.02468425
## 19  0.37208764  1.45649761 -0.804115966  0.388010050 -0.20704973
## 20  1.13432791  0.75003603 -0.294438976 -0.499286730 -0.06243781
## 21  1.35442421 -0.70515495  2.082205988 -1.038022002  0.81956154
## 22 -0.36252857 -0.11915470  0.470138892 -0.349437843  0.55666135
## 23 -0.29349787  0.19703824  0.679820129 -0.474449656  0.71142400
## 24 -0.33836216  0.08304760  0.099230530 -0.121483271  0.35394645
## 25  0.31915111 -0.25335758  1.057707296 -0.542238715  0.63662030
## 26 -0.24534578 -0.21751810  0.695937334 -0.007139066  0.47627258
## 27 -0.20960264 -0.58180437  0.394392498 -0.518763303  0.37889078
## 28 -0.26982346 -0.42908491  0.450840875 -0.202161091  0.02367337
## 29 -0.32058272 -0.29318472  0.453475403 -0.212532176  0.10144194
## 31 -0.38641680 -0.38582263  0.554819836  0.173638980  0.67867808
## 32 -0.31712244 -0.11381172  0.791643497  0.096268499  0.32899087
## 33 -0.32213376 -0.48103699  1.038751044  0.205328512  0.30745238
## 34 -0.33013501 -0.65581527  1.293037498  0.231480875  0.26741920
## 41 -0.21326809 -0.50951184  0.308211438  0.621624073 -0.02416227
## 42 -0.26935232  0.21916126  0.572210470 -0.361020644  0.59665773
## 43 -0.22062318  0.11645607  0.340636401  0.151210561  0.27108509
## 44 -0.26028393 -0.26173176  0.172017848  0.244822665  0.23292430
## 45 -0.23379351 -0.25943724  0.278658873  0.250480329  0.21130657
## 46 -0.33192013  0.74464867  0.130344698 -0.929207679  0.45776144
## 47  0.34630198  0.63422133 -0.042007884 -0.730381834  0.17446721
## 48  0.39131426  1.01748971 -0.358288180  0.112660259 -0.12592045
## 49  0.42699578  0.72427942  0.001705993 -0.893869698  0.29221358
## 50 -0.13939830  0.90998495 -0.158000274 -0.706916062  0.41680064
## 51 -0.27746336 -0.02797998  0.838975452 -0.400596491  0.68387800
## 53  0.42752854 -0.40185894  0.806015665 -0.411297259  0.40868170
## 54  0.03358955 -0.54014447  0.465576291 -0.403175303  0.33532396
## 55  0.40337693 -0.42511472  1.072441309 -0.737290886  0.79404728
comun_fren_dat
##    sp1 sp2 sp3 sp5 sp6 sp7 sp8 sp9 sp10 sp11 sp12 sp13 sp14 sp15 sp17 sp18 sp19
## 1    0  74   0   5   5   0   0   0    0   47    3    2    0    0   14    0    0
## 2    0  10   0   6   0   0   0   0    2    4    2   24    0    0   47    0    0
## 3    0   1   0   0   0   0   0   0    0    0    0    0    1    0   24    0    0
## 4    0   3   0   0   0   0   0   0    0    0    0    2    0    0    3    0    0
## 5    0   0   0  15   0   0   0   0    0   27    0    2    0    0    0    0    0
## 6   23   0  22   2   0   0   7   0    4    0    0    0    0    0    0    0    0
## 7    2   0   0   3   0   0   0   0    0    0    0    2    0    2    0    0    0
## 8    7   0   0   7   0   0  10   0   43    0    0    0    0    2    0    0    0
## 9    0   0   5   8   0   0   8   0    1    0    0    0    0    0    0    0    0
## 10   1   0   0   4   0   0  16   0    0    0    0    0    0    1    0    0    5
## 11   0   0   0   2   0   0   0   0    0    0    1    0    0    0   21    0    0
## 12   0   5   0   1   0   0   0   0    0    0    0    0    0    0   35    0    0
## 13   0   7   0   3   0   0   0   0    0    0    0    0    0    0   29    0    0
## 14   0   1   0   0   0   0   0   0    0    0    0    0    0    0    4    0    0
## 15   0   8   0   4   0   0   0   0    0    0    0    0    0    0    0    0    0
## 17   0   0   0  34   0   0  29   0    8    0    0    0    6    0    0    3    0
## 18   0   0   0   3   0   0   0  59    0    0    0    9    9    0    0    0   30
## 19   0   0   0  21   3   0 128   0    1    0    0    3    1    0    0    0    0
## 20   0   0   0   8   0   0   0  38    6    0    0    7    1    0    0    1    0
## 21   0   0   0   1   1   0   0   0    0    0    0   17    0    0    0  138    0
## 22   0   0   0   0   1   0   0   0    0    0    4   17    0    0    6    0   14
## 23   0   0   0   0   4   0   0   0    0    0    0   12    0    0    1    0    0
## 24   0   0   0   1   1   0   0   0    3    0    2    1    0    0   50    0    5
## 25   0   0   0   0   4   0   0   0    0    0    0    8    0    0   22   36    0
## 26   0   0   0   0   0   0   0   0    0   47   25    0    0    0    6    0    0
## 27   0  11   0   1   0  29   0   0    0    0  221    0    0    0    9    0    0
## 28   0  47   0   1  24   0   0   0    0   47   78    0    0    0   28    0    0
## 29   0  18   0   1   0   0   0   0    0    0   66    0    0    0   23    0    0
## 31  15   0 134  11   0   0   0   0    0    0    0    0    0    0    0    0    0
## 32   0   0   1  82   0   0   5   0    0    0    0    0    0   46    0    0    0
## 33   0   0   0  53   0   0   1   0    0    0    0    0    0   57    0    0    7
## 34   0   0   0  15   0   0   2   0    3    0    0    0    0   26    0    0    0
## 41   0   0   0   8   3   0   0   0    0  171   15    1    0    0    0    0    0
## 42   0   0   0  19   0   0   0   0    2   32    0    0    0    0    0    0    0
## 43   0   0   2   3   1   0   0   0   12   62    2    1    4    0    0    0    0
## 44   0   0  11   4  12   0   0   0    2   66   12   31    0    0    0    0   19
## 45   0   0   0  10   2   0   0   0    0   84    6    0    3    0    0    0    0
## 46   0   0   0   4  20   0  16   0   10    0    0    1    3    0    0    0    0
## 47   0   0   0  12  13   0   0  45   14    0    0    0   11    0    0    0    0
## 48   0   0   0   7   0   0 133   0    1    0    0   13    3    0    0   18    0
## 49   0   0   0   1   5   0   0  50    0    0    0    1    0    0    0    0    0
## 50   0   0   0  10  22   0  75   0    4    0    0    0   45    0    0    0    0
## 51   0   0   0   1   2   0   0   0    0    3    0   44    0    0    0    0    0
## 53   0   0   0   0  13   0   0   1    0    0    0  109    0    0    0   66    0
## 54   0   0   1   0  12   0   0   0    0    0  113   78    0    0   41   45    0
## 55   0   0  16   0  55   0   0   0    0    0    0   11    0    0   23   94   36
##    sp20 sp21 sp22 sp23 sp24 sp25 sp27 sp28 sp29 sp30 sp31 sp32 sp33 sp34 sp35
## 1     1    0    0    0   21    5    0    0    1    4    0  113    0    0    4
## 2     0    0    0    0    5   21    0    0    0   63    0   29    0    0    0
## 3     0    9    1    0   64   12    0    1   30    6    0   21    0    0    0
## 4     1    5    0    0    8    1    0    0    0    0    0  298    0    0    0
## 5     6   14    1    0   42    6    0    5    0   15    0   21    0    0    1
## 6     0    0   14   13    0    0    0    0    0   42    0    0    2    4    0
## 7     0    0    1    2    0    0   41    0    0   71    0    0   80   19    0
## 8     0    0    3    0    0    0    0    0    0   59    0    0   13   12    0
## 9     0    0    1    2    0    0   14    0    0  139    0    0    9    3    0
## 10    0    0    0   17    0    0    0    0    0  135    0    0   75   16    0
## 11   12    7    3    0   16   10    0    9    0   48    1    5    0    0    0
## 12    6    5   11    0  103    0    0    0    0   27    0   17    0    0    0
## 13    1   22   14    0   70    0    0    0    0   63    0    6    0    0    0
## 14   48    5    2    0   63    1    0   12    0    3    0    7    0    0    0
## 15    9   11    1    0   57    0    0   12    0    0    1   31    0    0    0
## 17    0    0    0   68    0    0    0    0    0   28    0    0    0    0    0
## 18    0    0    0   52    0    0    0    0    0   31    5    0    0    0    0
## 19    0    0    0    6    0    1    0    0    0   41    0    0    0    0    0
## 20    0    0    0   35    0    1    0    0    0   24    1    0    0    0    0
## 21    0    1    6    0    0    0    0    0    0    1    0   80    0    0    2
## 22    0    0    7    1    0    1    0    0    0    7    0   46    0    2   19
## 23    0    0    2    0    0    0    0    0    0   20    2  112    0    0    0
## 24    0    0    2    2    0    1    0    0    0    8    0   73    0    0    0
## 25    0    0    2    1    0    0    0    0    0    2    0   97    0    1    1
## 26    0    0    0    0    0    2    0    3    0    2    0  142    0    0    0
## 27    0    0    0    0    0    0    0    0    0    0    0   13    0    0    1
## 28    0    1    2    0   34    1    0    1    0    0    0  124    0    9   38
## 29    2    1    2    0    3    0    0    0   12    0    0  110    0   20    0
## 31    0    0    1    0    0    0    0    0    0    8    0    0   67   65    0
## 32    0    0    0    0    0    0    0    0    0    2    0    0  123   10    0
## 33    0    0    0    0    0    0    8    0    0    5    0    0   68  213    0
## 34    0    0    0    0    0    0    0    0    0    1    0    0  106  140    0
## 41    2    7    1    0    4   24    0    8    0   28    0   16    0    3    0
## 42   12    3    0    0    3   25    0    0    0   46    0  194    0    0    0
## 43   26   16    0    0    0    7    0    0    0    1    3  107    0    0    0
## 44    3   12    0   11    0    3    0    1    0    2    1   34    0   12    0
## 45    1    2    1    0    0   64    0    0    0    2    0   57    0    1    0
## 46    0    0    0   17    0    7    0    0    0  162   24    0    0    1    0
## 47    0    0    2  113    0   18    0    0    0  100    3    0    0    0    0
## 48    0    0    2   59    0    1    0    0    0   61    0    0    0    0    0
## 49    0    0    0   33    0    2    0    0    0  162   20    0    0    0    0
## 50    0    0    0   21    0    3    0    0    0  182   11    0    0    0    0
## 51    0    0    0    3    0    2    0    0    0    1    0  315    0    0   49
## 53    0    1    0    0    0    0    0   10    0    6    3   36    0    0    0
## 54    0    0    0    0    0    1    0    1    0    0    0    1    0    0    0
## 55    0    0    2    0    0    0    0    0    0    0    0  165    0    0    0
ambie_fren_dat
##     Grazing Aridity Exclosure Bare.ground.2009 Altitude
## 1    Grazed   5.003         0             77.6      928
## 2    Grazed   5.003         0             84.9      976
## 3    Grazed   5.109         0             85.7      936
## 4    Grazed   5.109         0             59.2      937
## 5    Grazed   5.003         0             85.0      937
## 6    Grazed   2.625         0             78.8     1628
## 7    Grazed   2.625         0             75.2     1599
## 8    Grazed   2.985         0             73.7     1611
## 9    Grazed   2.625         0             71.8     1598
## 10   Grazed   2.985         0             72.5     1593
## 11   Grazed   5.109         0             81.5      917
## 12   Grazed   5.109         0             81.3      929
## 13   Grazed   5.109         0             75.2      941
## 14   Grazed   5.109         0             84.9      945
## 15   Grazed   5.109         0             92.1      927
## 17   Grazed   4.254         0             75.3     1286
## 18   Grazed   4.088         0             76.7     1314
## 19   Grazed   4.425         0             62.8     1302
## 20   Grazed   4.425         0             74.8     1302
## 21   Grazed   4.536         0             82.6      978
## 22   Grazed   4.533         0             90.1      919
## 23   Grazed   4.533         0             85.7      921
## 24   Grazed   4.397         0             90.3      911
## 25   Grazed   3.903         0             84.4      938
## 26 Ungrazed   5.003        13             75.7      950
## 27 Ungrazed   5.003        13             75.3      946
## 28 Ungrazed   5.003        13             75.3      947
## 29 Ungrazed   5.003        13             59.8      955
## 31 Ungrazed   2.625         5             76.5     1628
## 32 Ungrazed   2.625         5             43.5     1617
## 33 Ungrazed   2.625         5             57.0     1611
## 34 Ungrazed   2.625         5             68.5     1611
## 41 Ungrazed   4.965        50             84.8     1050
## 42 Ungrazed   4.965        50             45.8     1048
## 43 Ungrazed   4.965        50             68.3     1063
## 44 Ungrazed   4.965        50             83.9     1064
## 45 Ungrazed   4.965        50             74.0     1068
## 46 Ungrazed   4.254         1             70.0     1291
## 47 Ungrazed   4.254         1             65.5     1297
## 48 Ungrazed   4.254         1             55.5     1293
## 49 Ungrazed   4.254         1             60.3     1302
## 50 Ungrazed   4.425         1             52.3     1302
## 51 Ungrazed   4.536        11             52.5      988
## 53 Ungrazed   3.906        11             80.5     1034
## 54 Ungrazed   3.906        11             79.3     1034
## 55 Ungrazed   3.906        11             59.3     1034
trait_fren_dat 
##           LA    SLA    LDMC   LN15     LCC
## sp1   22.201  5.393 257.969  3.210 432.680
## sp2   27.803  3.642 194.628  6.257 281.276
## sp3   14.960  9.524 236.038  5.051 468.355
## sp5   30.828 15.949 244.372 -0.421 450.266
## sp6   50.863  4.505 315.679 -1.904 463.876
## sp7  286.552  8.619 201.724  3.193 450.805
## sp8  182.924 20.532 119.861  7.623 389.473
## sp9  629.033 15.377 143.187  3.340 393.802
## sp10  17.820 26.600 247.820  4.549 419.162
## sp11  55.044  3.751 301.926  8.052 404.560
## sp12  14.048  5.933 325.822  1.669 443.315
## sp13   3.643  9.843 209.086  4.929 420.098
## sp14  35.037 13.796 178.776 -0.400 462.883
## sp15  37.975  8.975 306.213 10.228 419.355
## sp17  10.163  8.379 154.654  5.182 403.914
## sp18 430.583  1.906 598.311 -1.167 462.227
## sp19   9.744  8.334 210.496  3.841 458.277
## sp20  25.373 11.740 231.553  4.023 405.811
## sp21  76.946 20.456 139.723  3.147 433.548
## sp22   4.296 12.278 227.964  3.833 426.892
## sp23  71.477 11.130 270.938  2.336 408.617
## sp24  78.794 13.624 235.067  1.997 420.955
## sp25  25.448 10.468 234.652  3.026 433.149
## sp27   2.255  5.392 279.853 10.324 425.468
## sp28   3.851  3.513 301.856  6.186 401.162
## sp29  23.231  4.510 158.147  5.936 294.205
## sp30   6.978 14.850 311.852 -0.157 457.671
## sp31   9.564 10.946 159.904  3.021 369.946
## sp32  40.091 10.578 358.145  2.499 455.474
## sp33  18.449  4.445 432.189  4.480 432.073
## sp34  29.501  4.860 410.760  3.689 433.906
## sp35  21.275  3.577 441.302  0.170 448.661
trait_pad <- decostand(trait_fren_dat, "standardize")
euclid_dis <- vegdist(trait_pad, "euclidean")
fdis <- dbFD(euclid_dis, comun_fren_dat)$FDis
## FRic: No dimensionality reduction was required. All 5 PCoA axes were kept as 'traits'. 
## CWM: When 'x' is a distance matrix, CWM cannot be calculated.
feve <- dbFD(euclid_dis, comun_fren_dat)$FEve
## FRic: No dimensionality reduction was required. All 5 PCoA axes were kept as 'traits'. 
## CWM: When 'x' is a distance matrix, CWM cannot be calculated.
lm_dat <- data.frame(aridez = ambie_fren_dat$Aridity, fdis = fdis, feve = feve)

mod1 <- lm(fdis ~ aridez, data = lm_dat)
plot(mod1)

anova(mod1) 
## Analysis of Variance Table
## 
## Response: fdis
##           Df Sum Sq Mean Sq F value Pr(>F)
## aridez     1 0.2083 0.20834  0.9945 0.3241
## Residuals 44 9.2179 0.20950
mod2 <- lm(feve ~ aridez, data = lm_dat)
plot(mod2)

anova(mod2)
## Analysis of Variance Table
## 
## Response: feve
##           Df  Sum Sq  Mean Sq F value Pr(>F)
## aridez     1 0.02098 0.020979  1.0447 0.3123
## Residuals 44 0.88353 0.020080
lm_dat %>% 
  ggplot(aes(x=aridez, y=fdis)) + 
  geom_point(pch=21, size=3, color = "black", fill="royalblue") + 
  xlab("Aridez") + ylab("Divergência Funcional (FDis)") + 
  theme(axis.title.x = element_text(face="bold", size=14),
        axis.text.x = element_text(vjust=0.5, size=12)) + 
  theme(axis.title.y = element_text(face="bold", size=14),
        axis.text.y = element_text(vjust=0.5, size=12)) + 
  theme(legend.position = "top", legend.title=element_blank()) -> plot_pred1
plot_pred1

lm_dat %>% 
  ggplot(aes(x=aridez, y=feve)) + 
  geom_point(pch=21, size=3, color = "black", fill="#d73027") + 
  xlab("Aridez") + ylab("Regularidade Funcional (FEve)") + 
  theme(axis.title.x = element_text(face="bold", size=14),
        axis.text.x = element_text(vjust=0.5, size=12)) + 
  theme(axis.title.y = element_text(face="bold", size=14),
        axis.text.y = element_text(vjust=0.5, size=12)) + 
  theme(legend.position = "top", legend.title=element_blank()) -> plot_pred2
plot_pred2

grid.arrange(plot_pred1, plot_pred2, ncol=2)

ggsave("plot_pred1.pdf", plot_pred1, height = 14, width = 14, dpi = 600, units = "cm")
ggsave("plot_pred2.pdf", plot_pred2, height = 14, width = 14, dpi = 600, units = "cm")
comun_fren_dat
##    sp1 sp2 sp3 sp5 sp6 sp7 sp8 sp9 sp10 sp11 sp12 sp13 sp14 sp15 sp17 sp18 sp19
## 1    0  74   0   5   5   0   0   0    0   47    3    2    0    0   14    0    0
## 2    0  10   0   6   0   0   0   0    2    4    2   24    0    0   47    0    0
## 3    0   1   0   0   0   0   0   0    0    0    0    0    1    0   24    0    0
## 4    0   3   0   0   0   0   0   0    0    0    0    2    0    0    3    0    0
## 5    0   0   0  15   0   0   0   0    0   27    0    2    0    0    0    0    0
## 6   23   0  22   2   0   0   7   0    4    0    0    0    0    0    0    0    0
## 7    2   0   0   3   0   0   0   0    0    0    0    2    0    2    0    0    0
## 8    7   0   0   7   0   0  10   0   43    0    0    0    0    2    0    0    0
## 9    0   0   5   8   0   0   8   0    1    0    0    0    0    0    0    0    0
## 10   1   0   0   4   0   0  16   0    0    0    0    0    0    1    0    0    5
## 11   0   0   0   2   0   0   0   0    0    0    1    0    0    0   21    0    0
## 12   0   5   0   1   0   0   0   0    0    0    0    0    0    0   35    0    0
## 13   0   7   0   3   0   0   0   0    0    0    0    0    0    0   29    0    0
## 14   0   1   0   0   0   0   0   0    0    0    0    0    0    0    4    0    0
## 15   0   8   0   4   0   0   0   0    0    0    0    0    0    0    0    0    0
## 17   0   0   0  34   0   0  29   0    8    0    0    0    6    0    0    3    0
## 18   0   0   0   3   0   0   0  59    0    0    0    9    9    0    0    0   30
## 19   0   0   0  21   3   0 128   0    1    0    0    3    1    0    0    0    0
## 20   0   0   0   8   0   0   0  38    6    0    0    7    1    0    0    1    0
## 21   0   0   0   1   1   0   0   0    0    0    0   17    0    0    0  138    0
## 22   0   0   0   0   1   0   0   0    0    0    4   17    0    0    6    0   14
## 23   0   0   0   0   4   0   0   0    0    0    0   12    0    0    1    0    0
## 24   0   0   0   1   1   0   0   0    3    0    2    1    0    0   50    0    5
## 25   0   0   0   0   4   0   0   0    0    0    0    8    0    0   22   36    0
## 26   0   0   0   0   0   0   0   0    0   47   25    0    0    0    6    0    0
## 27   0  11   0   1   0  29   0   0    0    0  221    0    0    0    9    0    0
## 28   0  47   0   1  24   0   0   0    0   47   78    0    0    0   28    0    0
## 29   0  18   0   1   0   0   0   0    0    0   66    0    0    0   23    0    0
## 31  15   0 134  11   0   0   0   0    0    0    0    0    0    0    0    0    0
## 32   0   0   1  82   0   0   5   0    0    0    0    0    0   46    0    0    0
## 33   0   0   0  53   0   0   1   0    0    0    0    0    0   57    0    0    7
## 34   0   0   0  15   0   0   2   0    3    0    0    0    0   26    0    0    0
## 41   0   0   0   8   3   0   0   0    0  171   15    1    0    0    0    0    0
## 42   0   0   0  19   0   0   0   0    2   32    0    0    0    0    0    0    0
## 43   0   0   2   3   1   0   0   0   12   62    2    1    4    0    0    0    0
## 44   0   0  11   4  12   0   0   0    2   66   12   31    0    0    0    0   19
## 45   0   0   0  10   2   0   0   0    0   84    6    0    3    0    0    0    0
## 46   0   0   0   4  20   0  16   0   10    0    0    1    3    0    0    0    0
## 47   0   0   0  12  13   0   0  45   14    0    0    0   11    0    0    0    0
## 48   0   0   0   7   0   0 133   0    1    0    0   13    3    0    0   18    0
## 49   0   0   0   1   5   0   0  50    0    0    0    1    0    0    0    0    0
## 50   0   0   0  10  22   0  75   0    4    0    0    0   45    0    0    0    0
## 51   0   0   0   1   2   0   0   0    0    3    0   44    0    0    0    0    0
## 53   0   0   0   0  13   0   0   1    0    0    0  109    0    0    0   66    0
## 54   0   0   1   0  12   0   0   0    0    0  113   78    0    0   41   45    0
## 55   0   0  16   0  55   0   0   0    0    0    0   11    0    0   23   94   36
##    sp20 sp21 sp22 sp23 sp24 sp25 sp27 sp28 sp29 sp30 sp31 sp32 sp33 sp34 sp35
## 1     1    0    0    0   21    5    0    0    1    4    0  113    0    0    4
## 2     0    0    0    0    5   21    0    0    0   63    0   29    0    0    0
## 3     0    9    1    0   64   12    0    1   30    6    0   21    0    0    0
## 4     1    5    0    0    8    1    0    0    0    0    0  298    0    0    0
## 5     6   14    1    0   42    6    0    5    0   15    0   21    0    0    1
## 6     0    0   14   13    0    0    0    0    0   42    0    0    2    4    0
## 7     0    0    1    2    0    0   41    0    0   71    0    0   80   19    0
## 8     0    0    3    0    0    0    0    0    0   59    0    0   13   12    0
## 9     0    0    1    2    0    0   14    0    0  139    0    0    9    3    0
## 10    0    0    0   17    0    0    0    0    0  135    0    0   75   16    0
## 11   12    7    3    0   16   10    0    9    0   48    1    5    0    0    0
## 12    6    5   11    0  103    0    0    0    0   27    0   17    0    0    0
## 13    1   22   14    0   70    0    0    0    0   63    0    6    0    0    0
## 14   48    5    2    0   63    1    0   12    0    3    0    7    0    0    0
## 15    9   11    1    0   57    0    0   12    0    0    1   31    0    0    0
## 17    0    0    0   68    0    0    0    0    0   28    0    0    0    0    0
## 18    0    0    0   52    0    0    0    0    0   31    5    0    0    0    0
## 19    0    0    0    6    0    1    0    0    0   41    0    0    0    0    0
## 20    0    0    0   35    0    1    0    0    0   24    1    0    0    0    0
## 21    0    1    6    0    0    0    0    0    0    1    0   80    0    0    2
## 22    0    0    7    1    0    1    0    0    0    7    0   46    0    2   19
## 23    0    0    2    0    0    0    0    0    0   20    2  112    0    0    0
## 24    0    0    2    2    0    1    0    0    0    8    0   73    0    0    0
## 25    0    0    2    1    0    0    0    0    0    2    0   97    0    1    1
## 26    0    0    0    0    0    2    0    3    0    2    0  142    0    0    0
## 27    0    0    0    0    0    0    0    0    0    0    0   13    0    0    1
## 28    0    1    2    0   34    1    0    1    0    0    0  124    0    9   38
## 29    2    1    2    0    3    0    0    0   12    0    0  110    0   20    0
## 31    0    0    1    0    0    0    0    0    0    8    0    0   67   65    0
## 32    0    0    0    0    0    0    0    0    0    2    0    0  123   10    0
## 33    0    0    0    0    0    0    8    0    0    5    0    0   68  213    0
## 34    0    0    0    0    0    0    0    0    0    1    0    0  106  140    0
## 41    2    7    1    0    4   24    0    8    0   28    0   16    0    3    0
## 42   12    3    0    0    3   25    0    0    0   46    0  194    0    0    0
## 43   26   16    0    0    0    7    0    0    0    1    3  107    0    0    0
## 44    3   12    0   11    0    3    0    1    0    2    1   34    0   12    0
## 45    1    2    1    0    0   64    0    0    0    2    0   57    0    1    0
## 46    0    0    0   17    0    7    0    0    0  162   24    0    0    1    0
## 47    0    0    2  113    0   18    0    0    0  100    3    0    0    0    0
## 48    0    0    2   59    0    1    0    0    0   61    0    0    0    0    0
## 49    0    0    0   33    0    2    0    0    0  162   20    0    0    0    0
## 50    0    0    0   21    0    3    0    0    0  182   11    0    0    0    0
## 51    0    0    0    3    0    2    0    0    0    1    0  315    0    0   49
## 53    0    1    0    0    0    0    0   10    0    6    3   36    0    0    0
## 54    0    0    0    0    0    1    0    1    0    0    0    1    0    0    0
## 55    0    0    2    0    0    0    0    0    0    0    0  165    0    0    0
ambie_fren_dat
##     Grazing Aridity Exclosure Bare.ground.2009 Altitude
## 1    Grazed   5.003         0             77.6      928
## 2    Grazed   5.003         0             84.9      976
## 3    Grazed   5.109         0             85.7      936
## 4    Grazed   5.109         0             59.2      937
## 5    Grazed   5.003         0             85.0      937
## 6    Grazed   2.625         0             78.8     1628
## 7    Grazed   2.625         0             75.2     1599
## 8    Grazed   2.985         0             73.7     1611
## 9    Grazed   2.625         0             71.8     1598
## 10   Grazed   2.985         0             72.5     1593
## 11   Grazed   5.109         0             81.5      917
## 12   Grazed   5.109         0             81.3      929
## 13   Grazed   5.109         0             75.2      941
## 14   Grazed   5.109         0             84.9      945
## 15   Grazed   5.109         0             92.1      927
## 17   Grazed   4.254         0             75.3     1286
## 18   Grazed   4.088         0             76.7     1314
## 19   Grazed   4.425         0             62.8     1302
## 20   Grazed   4.425         0             74.8     1302
## 21   Grazed   4.536         0             82.6      978
## 22   Grazed   4.533         0             90.1      919
## 23   Grazed   4.533         0             85.7      921
## 24   Grazed   4.397         0             90.3      911
## 25   Grazed   3.903         0             84.4      938
## 26 Ungrazed   5.003        13             75.7      950
## 27 Ungrazed   5.003        13             75.3      946
## 28 Ungrazed   5.003        13             75.3      947
## 29 Ungrazed   5.003        13             59.8      955
## 31 Ungrazed   2.625         5             76.5     1628
## 32 Ungrazed   2.625         5             43.5     1617
## 33 Ungrazed   2.625         5             57.0     1611
## 34 Ungrazed   2.625         5             68.5     1611
## 41 Ungrazed   4.965        50             84.8     1050
## 42 Ungrazed   4.965        50             45.8     1048
## 43 Ungrazed   4.965        50             68.3     1063
## 44 Ungrazed   4.965        50             83.9     1064
## 45 Ungrazed   4.965        50             74.0     1068
## 46 Ungrazed   4.254         1             70.0     1291
## 47 Ungrazed   4.254         1             65.5     1297
## 48 Ungrazed   4.254         1             55.5     1293
## 49 Ungrazed   4.254         1             60.3     1302
## 50 Ungrazed   4.425         1             52.3     1302
## 51 Ungrazed   4.536        11             52.5      988
## 53 Ungrazed   3.906        11             80.5     1034
## 54 Ungrazed   3.906        11             79.3     1034
## 55 Ungrazed   3.906        11             59.3     1034
trait_fren_dat
##           LA    SLA    LDMC   LN15     LCC
## sp1   22.201  5.393 257.969  3.210 432.680
## sp2   27.803  3.642 194.628  6.257 281.276
## sp3   14.960  9.524 236.038  5.051 468.355
## sp5   30.828 15.949 244.372 -0.421 450.266
## sp6   50.863  4.505 315.679 -1.904 463.876
## sp7  286.552  8.619 201.724  3.193 450.805
## sp8  182.924 20.532 119.861  7.623 389.473
## sp9  629.033 15.377 143.187  3.340 393.802
## sp10  17.820 26.600 247.820  4.549 419.162
## sp11  55.044  3.751 301.926  8.052 404.560
## sp12  14.048  5.933 325.822  1.669 443.315
## sp13   3.643  9.843 209.086  4.929 420.098
## sp14  35.037 13.796 178.776 -0.400 462.883
## sp15  37.975  8.975 306.213 10.228 419.355
## sp17  10.163  8.379 154.654  5.182 403.914
## sp18 430.583  1.906 598.311 -1.167 462.227
## sp19   9.744  8.334 210.496  3.841 458.277
## sp20  25.373 11.740 231.553  4.023 405.811
## sp21  76.946 20.456 139.723  3.147 433.548
## sp22   4.296 12.278 227.964  3.833 426.892
## sp23  71.477 11.130 270.938  2.336 408.617
## sp24  78.794 13.624 235.067  1.997 420.955
## sp25  25.448 10.468 234.652  3.026 433.149
## sp27   2.255  5.392 279.853 10.324 425.468
## sp28   3.851  3.513 301.856  6.186 401.162
## sp29  23.231  4.510 158.147  5.936 294.205
## sp30   6.978 14.850 311.852 -0.157 457.671
## sp31   9.564 10.946 159.904  3.021 369.946
## sp32  40.091 10.578 358.145  2.499 455.474
## sp33  18.449  4.445 432.189  4.480 432.073
## sp34  29.501  4.860 410.760  3.689 433.906
## sp35  21.275  3.577 441.302  0.170 448.661

#### Hipótese e predições

cwm_dis <- vegdist(cwm_fren, "euclidean")
cwm_fren <- functcomp(trait_pad, as.matrix(comun_fren_dat))
perman_fren <- adonis(cwm_fren~Grazing, data = ambie_fren_dat)
## Warning in vegdist(lhs, method = method, ...): results may be meaningless
## because data have negative entries in method "bray"
betad_fren <- betadisper(cwm_dis, ambie_fren_dat$Grazing)
permutest(betad_fren)
## 
## 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  0.0539 0.053858 0.1946    999  0.687
## Residuals 44 12.1763 0.276735
plot(betad_fren)