3 Estrutura da comunidade

3.0.1 Organização básica

dev.off() #apaga os graficos, se houver algum
rm(list=ls(all=TRUE)) #limpa a memória
cat("\014") #limpa o console 

Instalando os pacotes necessários

install.packages("vegan")
install.packages("moments")
install.packages("ggplot2")
install.packages("dplyr")
install.packages("tidyr")
install.packages("tibble")
install.packages("tidyverse") #atente para alguma msg de erro qdo executar essa linha
install.packages("forcats")
install.packages("iNEXT")
install.packages("openxlsx")
install.packages('Rcpp')

Depois de instalado, carregue os pacotes no seu computador.

library(tibble); library(tidyverse); library(forcats); library(openxlsx); library(Rcpp)

3.1 Importar a base de dados

#dir <- getwd()
#shell.exec(dir) #abre o diretorio de trabalho no Windows Explorer
m_bruta <- read.csv("D:/Elvio/OneDrive/MSS/_Zoo-Rebio/R_ZooRebio.rmd/zoorebio.csv",
                     sep = ";", dec = ",",
                     header = T,
                     row.names = 1,
                     na.strings = NA)
str(m_bruta)
#View(m_bruta)
## 'data.frame':    49 obs. of  85 variables:
##  $ Bra.angularis     : num  0 0.533 0.533 0 0 ...
##  $ Lepadella.sp      : num  0 0.178 0.178 0.533 0.178 ...
##  $ Lecane.sp         : num  0 0 0 0 0 ...
##  $ Lec.leontina      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Lec.bulla         : num  1.067 0 0.356 0.889 0.178 ...
##  $ Lec.cornuta       : num  0 0 0 0 0 ...
##  $ Lec.curvicornis   : num  0 0 0 0 0 ...
##  $ Notholca.sp       : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Bra.urceolaris    : num  0.178 0 0 0 0 ...
##  $ Trichocerca.sp    : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Lec.quadridentata : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Lec.kluchor       : num  0.178 0 0 0 0 ...
##  $ Lec.lunaris       : num  0.356 0.711 1.067 0 0.178 ...
##  $ Rotaria.sp        : num  0 1.07 0 0 0 ...
##  $ Aspelta.sp        : num  0.178 0 0 0 0 ...
##  $ Lec.furcata       : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Col.geophila      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Lep.dactyliseta   : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Bra.calyciflorus  : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Bra.caudatus      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Lec.crepida       : num  0 0 0 0 0 ...
##  $ Pla.patulus       : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Lec.ovalis        : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Lec.elasma        : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Pla.quadricornis  : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Lec.aculeata      : num  1.6 0.889 0 0.178 0 ...
##  $ Ker.tropica       : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Bdelloidea        : num  0 0 0 0 0 ...
##  $ Ker.lenzi         : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Con.unicornis     : num  0 0 0 0 0 ...
##  $ Alo.dadayi        : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Macrothrix.sp     : num  0.178 0 0 0 0 ...
##  $ Alonella.sp       : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Nauplii           : num  0.711 0.889 0.178 0.889 0.711 ...
##  $ Chy.eurynotus     : num  0.356 0 0 0 0 ...
##  $ Cyclopoida        : num  0 0 0 0 0 ...
##  $ Mac.collinsi      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Copepodite        : num  0 0 0 0.178 0 ...
##  $ Paracyclops.sp    : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Asc.ecaudis       : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Lep.ovalis        : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Polyarthra.sp     : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Bra.havanaensis   : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Hexarthra.sp      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Lec.hastata       : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Tri.tetractis     : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Ker.serrulata     : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Notodiaptomus.sp  : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Bra.falcatus      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Fil.longiseta     : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Myt.crassipes     : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Lep.patella       : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Euchlanis.sp      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Colurella.sp      : num  0 0 0.178 0 0 ...
##  $ Mytilina.sp       : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Lec.monostyla     : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Lec.ligona        : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Ascomorpha.sp     : num  0.178 0 0 0 0 ...
##  $ Pom.sulcata       : num  0 0 0 0.356 0.356 ...
##  $ Harpacticoida     : num  0 0 0 0 0 ...
##  $ Epi.senta         : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Rot.neptunia      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Dis.aculeata      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Lec.luna          : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Euc.dilatata      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Bea.eudactylota   : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Chy.sphaericus    : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Lec.hornemanni    : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Dia.birgei        : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Mac.subquadratus  : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Bra.quadridentatus: num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Pol.vulgaris      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Pol.bicerca       : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Dicranop.sp       : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Asc.saltans       : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Moi.minuta        : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Alo.hamulata      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Mac.laticornis    : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Mac.mira          : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Pro.similis       : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Alo.pulchella     : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Dia.spinulosum    : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Chydorus.sp       : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Ily.spinifer      : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Dun.odontoplax    : num  0 0 0 0 0 0 0 0 0 0 ...

3.2 Reset point

m_trab <- m_bruta

Aqui substitui-se uma nova matriz de dados, relativizada e/ou transformada, pela matriz bruta.

3.3 Transpor a matriz para trabalhar com as espécies

A função t transpõe a matriz. Só deve ser usada uma vez, pois se repetida com Ctrl+Enter continua “girando” a matriz. As espécies como colunas representam uma matriz comunitária e as espécies como linhas representam uma matriz (comunitária) transposta.

m_trab <- t(m_trab)
str(m_trab)
#View(m_trab)
m_trab
##  num [1:85, 1:49] 0 0 0 0 1.07 ...
##  - attr(*, "dimnames")=List of 2
##   ..$ : chr [1:85] "Bra.angularis" "Lepadella.sp" "Lecane.sp" "Lec.leontina" ...
##   ..$ : chr [1:49] "BB1-P01" "BB1-P02" "BB1-P03" "BB2-P01" ...
##                      BB1-P01   BB1-P02   BB1-P03   BB2-P01   BB2-P02   BB2-P03   BB3-P01   BB3-P02   BB3-P03   BB4-P01
## Bra.angularis      0.0000000 0.5333333 0.5333333 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lepadella.sp       0.0000000 0.1777778 0.1777778 0.5333333 0.1777778 0.1777778 0.0000000 0.0000000 0.0000000 0.0000000
## Lecane.sp          0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.0000000 0.0000000
## Lec.leontina       0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.bulla          1.0666667 0.0000000 0.3555556 0.8888889 0.1777778 0.0000000 0.5333333 1.6000000 1.4222222 1.4222222
## Lec.cornuta        0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.1777778 0.0000000
## Lec.curvicornis    0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778
## Notholca.sp        0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Bra.urceolaris     0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Trichocerca.sp     0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.quadridentata  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.kluchor        0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.lunaris        0.3555556 0.7111111 1.0666667 0.0000000 0.1777778 0.1777778 0.0000000 0.0000000 0.0000000 0.0000000
## Rotaria.sp         0.0000000 1.0666667 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Aspelta.sp         0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.furcata        0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Col.geophila       0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lep.dactyliseta    0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Bra.calyciflorus   0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Bra.caudatus       0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##                      BB4-P02   BB4-P03   BB5-P01   BB5-P02   BB5-P03   BB6-P01   BB6-P02   BB6-P03   CA1-P04   CA1-P05
## Bra.angularis      0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.0000000
## Lepadella.sp       0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.0000000 0.1777778 0.3555556 0.7111111 0.7111111
## Lecane.sp          0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.leontina       0.0000000 0.0000000 0.0000000 0.3555556 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.bulla          0.3555556 1.0666667 2.1333333 0.7111111 0.5333333 0.8888889 0.5333333 0.3555556 0.8888889 1.2444444
## Lec.cornuta        0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.curvicornis    0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Notholca.sp        0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Bra.urceolaris     0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.0000000
## Trichocerca.sp     0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.1777778
## Lec.quadridentata  0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.5333333 0.0000000
## Lec.kluchor        0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.3555556 0.1777778
## Lec.lunaris        0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.3555556 0.1777778
## Rotaria.sp         0.3555556 0.1777778 0.0000000 0.1777778 0.1777778 0.1777778 0.7111111 0.1777778 0.3555556 0.0000000
## Aspelta.sp         0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.0000000
## Lec.furcata        0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.0000000
## Col.geophila       0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778
## Lep.dactyliseta    0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.0666667
## Bra.calyciflorus   0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778
## Bra.caudatus       0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.3555556
##                      CA1-P06   CA2-P04   CA2-P05   CA2-P06   CA3-P04   CA3-P05   CA3-P06   CA4-P04   CA4-P05   CA4-P06
## Bra.angularis      0.0000000 0.5333333 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lepadella.sp       0.0000000 0.1777778 0.3555556 0.5333333 0.3555556 0.1777778 0.1777778 0.0000000 0.0000000 0.0000000
## Lecane.sp          0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.5333333 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.leontina       0.0000000 0.0000000 0.0000000 0.3555556 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.bulla          0.5333333 0.5333333 0.7111111 1.6000000 1.6000000 1.7777778 0.7111111 0.5333333 0.1777778 0.0000000
## Lec.cornuta        0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.1777778 0.0000000 0.1777778 0.0000000
## Lec.curvicornis    0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Notholca.sp        0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Bra.urceolaris     0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Trichocerca.sp     0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.0000000 0.1777778 0.0000000 0.0000000
## Lec.quadridentata  0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.kluchor        0.5333333 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.lunaris        0.7111111 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Rotaria.sp         0.8888889 0.0000000 0.5333333 0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Aspelta.sp         0.0000000 0.0000000 0.1777778 0.7111111 0.7111111 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.furcata        0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Col.geophila       0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lep.dactyliseta    0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Bra.calyciflorus   0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Bra.caudatus       0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##                      CA5-P04   CA5-P05   CA5-P06    CA6-P04   CA6-P05   CA6-P06      EN08      EN09      EN10       EN11
## Bra.angularis      0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Lepadella.sp       0.0000000 0.1777778 0.0000000  6.4000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Lecane.sp          0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Lec.leontina       0.0000000 0.3555556 0.1777778  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.0666667  0.0000000
## Lec.bulla          0.7111111 0.1777778 0.3555556  4.2666667 2.1333333 0.0000000 0.0000000 2.1333333 1.0666667 72.0000000
## Lec.cornuta        0.1777778 0.1777778 0.0000000  0.0000000 0.0000000 0.0000000 0.5333333 0.0000000 0.0000000  0.0000000
## Lec.curvicornis    0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.6000000  1.6000000
## Notholca.sp        0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Bra.urceolaris     0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Trichocerca.sp     0.0000000 0.0000000 0.0000000  2.6666667 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Lec.quadridentata  0.0000000 0.1777778 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Lec.kluchor        0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Lec.lunaris        0.0000000 0.0000000 0.0000000  0.5333333 0.0000000 0.1777778 0.5333333 0.0000000 0.5333333  0.0000000
## Rotaria.sp         0.3555556 0.0000000 0.1777778  2.6666667 0.5333333 0.0000000 1.0666667 0.5333333 1.0666667  0.5333333
## Aspelta.sp         0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Lec.furcata        0.0000000 0.0000000 0.0000000  1.0666667 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 10.6666667
## Col.geophila       0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Lep.dactyliseta    0.0000000 0.0000000 0.0000000  5.3333333 0.0000000 0.1777778 0.0000000 0.0000000 0.0000000  0.0000000
## Bra.calyciflorus   0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Bra.caudatus       0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
##                          EN12      EN13       EN15       EN16      EN14       EN17      RE19     RE18       RE07
## Bra.angularis       0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Lepadella.sp        0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Lecane.sp           0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Lec.leontina        0.0000000 0.0000000  1.6000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Lec.bulla           0.5333333 1.0666667 12.8000000  0.0000000 0.0000000  0.0000000 1.0666667 2.133333  0.0000000
## Lec.cornuta         0.5333333 0.0000000  2.6666667  0.5333333 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Lec.curvicornis     0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Notholca.sp         0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Bra.urceolaris      0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Trichocerca.sp      0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  1.6000000
## Lec.quadridentata   0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.5333333
## Lec.kluchor         0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Lec.lunaris         0.0000000 0.0000000  0.0000000  1.6000000 0.5333333  0.0000000 0.0000000 0.000000  2.6666667
## Rotaria.sp          0.0000000 0.0000000  2.6666667 10.1333333 9.0666667 10.1333333 2.1333333 3.733333 24.5333333
## Aspelta.sp          0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Lec.furcata         0.0000000 0.0000000  1.6000000  0.0000000 0.0000000  0.0000000 0.5333333 0.000000  0.0000000
## Col.geophila        0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Lep.dactyliseta     0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Bra.calyciflorus    0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Bra.caudatus        0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
##  [ reached getOption("max.print") -- omitted 65 rows ]

3.3.1 Informações básicas da matriz

range(m_trab) #menor e maior valores
length(m_trab) #no. de colunas
ncol(m_trab) #no. de N colunas
nrow(m_trab) #no. de M linhas
sum(lengths(m_trab)) #soma os nos. de colunas
length(as.matrix(m_trab)) #tamanho da matriz m x n
sum(m_trab == 0) #número de observações igual a zero
sum(m_trab > 0) #número de observações maiores que zero
zeros <- (sum(m_trab == 0)/length(as.matrix(m_trab)))*100 #proporção de zeros na matriz
zeros
## [1]  0 72
## [1] 4165
## [1] 49
## [1] 85
## [1] 4165
## [1] 4165
## [1] 3763
## [1] 402
## [1] 90.34814

Tabela que resume as informações geradas (Tabela 3.1).

##      Função Resultado
## 1     range    0 - 72
## 2    lenght      4165
## 3    n cols        49
## 4  m linhas        85
## 5   Tamanho      4165
## 6   Tamanho      4165
## 7     Zeros      3763
## 8 Nao zeros       402
## 9   % Zeros      90.3
Table 3.1: Resumo das informações sobre o tamanho da base de dados.
Função Resultado
range 0 - 72
lenght 4165
n cols 49
m linhas 85
Tamanho 4165
Tamanho 4165
Zeros 3763
Nao zeros 402
% Zeros 90.3

Ou seja, temos uma matriz de tamanho m x n igual a 85 objetos por 49 atributos, onde 90.35% dos valores da matriz são iguais a zero!

3.4 Calculando os descritores da comunidade

#?apply
Sum <- rowSums(m_trab)
#ou
Sum <- apply(m_trab,1,sum)
Sum
### Media
Mean <- rowMeans(m_trab)
Mean
##Ou
Mean <- apply(m_trab,1,mean)
Mean
### Desvio padrao
DP <- apply(m_trab,1,sd)
DP
### Máximo
Max <- apply(m_trab,1,max)
Max 
### Minimo
Min <- apply(m_trab,1,min)
Min
##      Bra.angularis       Lepadella.sp          Lecane.sp       Lec.leontina          Lec.bulla        Lec.cornuta 
##          1.7777778         11.7333333          0.7111111          3.9111111        124.8000000          5.6888889 
##    Lec.curvicornis        Notholca.sp     Bra.urceolaris     Trichocerca.sp  Lec.quadridentata        Lec.kluchor 
##          3.3777778          0.1777778          0.5333333          4.9777778          1.6000000          1.2444444 
##        Lec.lunaris         Rotaria.sp         Aspelta.sp        Lec.furcata       Col.geophila    Lep.dactyliseta 
##         10.4888889         74.3111111          1.9555556         14.0444444          0.3555556          6.5777778 
##   Bra.calyciflorus       Bra.caudatus        Lec.crepida        Pla.patulus         Lec.ovalis         Lec.elasma 
##          0.1777778          0.3555556          1.6000000          4.8000000          0.5333333          0.1777778 
##   Pla.quadricornis       Lec.aculeata        Ker.tropica         Bdelloidea          Ker.lenzi      Con.unicornis 
##          0.7111111          3.9111111          0.1777778         60.5333333          0.7111111          1.0666667 
##         Alo.dadayi      Macrothrix.sp        Alonella.sp            Nauplii      Chy.eurynotus         Cyclopoida 
##          1.6000000          1.9555556          4.8000000        234.0444444          1.4222222          7.4666667 
##       Mac.collinsi         Copepodite     Paracyclops.sp        Asc.ecaudis         Lep.ovalis      Polyarthra.sp 
##          0.3555556         23.2888889          0.3555556          0.1777778          2.3111111          0.1777778 
##    Bra.havanaensis       Hexarthra.sp        Lec.hastata      Tri.tetractis      Ker.serrulata   Notodiaptomus.sp 
##          0.1777778          0.1777778          1.7777778          2.3111111          0.1777778          0.3555556 
##       Bra.falcatus      Fil.longiseta      Myt.crassipes        Lep.patella       Euchlanis.sp       Colurella.sp 
##         25.7777778          0.1777778          0.7111111         65.6000000          2.6666667          7.8222222 
##        Mytilina.sp      Lec.monostyla         Lec.ligona      Ascomorpha.sp        Pom.sulcata      Harpacticoida 
##          1.9555556          1.7777778          1.6000000          0.1777778          0.7111111          0.1777778 
##          Epi.senta       Rot.neptunia       Dis.aculeata           Lec.luna       Euc.dilatata    Bea.eudactylota 
##          0.1777778          1.6000000          5.8666667          2.6666667          1.0666667          0.5333333 
##     Chy.sphaericus     Lec.hornemanni         Dia.birgei   Mac.subquadratus Bra.quadridentatus       Pol.vulgaris 
##          3.7333333          3.7333333          2.1333333          0.5333333         10.1333333         19.2000000 
##        Pol.bicerca        Dicranop.sp        Asc.saltans         Moi.minuta       Alo.hamulata     Mac.laticornis 
##         58.1333333         68.8000000          1.0666667          2.6666667          1.0666667          2.6666667 
##           Mac.mira        Pro.similis      Alo.pulchella     Dia.spinulosum        Chydorus.sp       Ily.spinifer 
##          2.1333333          0.5333333          3.7333333          1.6000000          1.0666667          3.7333333 
##     Dun.odontoplax 
##          0.5333333 
##      Bra.angularis       Lepadella.sp          Lecane.sp       Lec.leontina          Lec.bulla        Lec.cornuta 
##        0.036281179        0.239455782        0.014512472        0.079818594        2.546938776        0.116099773 
##    Lec.curvicornis        Notholca.sp     Bra.urceolaris     Trichocerca.sp  Lec.quadridentata        Lec.kluchor 
##        0.068934240        0.003628118        0.010884354        0.101587302        0.032653061        0.025396825 
##        Lec.lunaris         Rotaria.sp         Aspelta.sp        Lec.furcata       Col.geophila    Lep.dactyliseta 
##        0.214058957        1.516553288        0.039909297        0.286621315        0.007256236        0.134240363 
##   Bra.calyciflorus       Bra.caudatus        Lec.crepida        Pla.patulus         Lec.ovalis         Lec.elasma 
##        0.003628118        0.007256236        0.032653061        0.097959184        0.010884354        0.003628118 
##   Pla.quadricornis       Lec.aculeata        Ker.tropica         Bdelloidea          Ker.lenzi      Con.unicornis 
##        0.014512472        0.079818594        0.003628118        1.235374150        0.014512472        0.021768707 
##         Alo.dadayi      Macrothrix.sp        Alonella.sp            Nauplii      Chy.eurynotus         Cyclopoida 
##        0.032653061        0.039909297        0.097959184        4.776417234        0.029024943        0.152380952 
##       Mac.collinsi         Copepodite     Paracyclops.sp        Asc.ecaudis         Lep.ovalis      Polyarthra.sp 
##        0.007256236        0.475283447        0.007256236        0.003628118        0.047165533        0.003628118 
##    Bra.havanaensis       Hexarthra.sp        Lec.hastata      Tri.tetractis      Ker.serrulata   Notodiaptomus.sp 
##        0.003628118        0.003628118        0.036281179        0.047165533        0.003628118        0.007256236 
##       Bra.falcatus      Fil.longiseta      Myt.crassipes        Lep.patella       Euchlanis.sp       Colurella.sp 
##        0.526077098        0.003628118        0.014512472        1.338775510        0.054421769        0.159637188 
##        Mytilina.sp      Lec.monostyla         Lec.ligona      Ascomorpha.sp        Pom.sulcata      Harpacticoida 
##        0.039909297        0.036281179        0.032653061        0.003628118        0.014512472        0.003628118 
##          Epi.senta       Rot.neptunia       Dis.aculeata           Lec.luna       Euc.dilatata    Bea.eudactylota 
##        0.003628118        0.032653061        0.119727891        0.054421769        0.021768707        0.010884354 
##     Chy.sphaericus     Lec.hornemanni         Dia.birgei   Mac.subquadratus Bra.quadridentatus       Pol.vulgaris 
##        0.076190476        0.076190476        0.043537415        0.010884354        0.206802721        0.391836735 
##        Pol.bicerca        Dicranop.sp        Asc.saltans         Moi.minuta       Alo.hamulata     Mac.laticornis 
##        1.186394558        1.404081633        0.021768707        0.054421769        0.021768707        0.054421769 
##           Mac.mira        Pro.similis      Alo.pulchella     Dia.spinulosum        Chydorus.sp       Ily.spinifer 
##        0.043537415        0.010884354        0.076190476        0.032653061        0.021768707        0.076190476 
##     Dun.odontoplax 
##        0.010884354 
##      Bra.angularis       Lepadella.sp          Lecane.sp       Lec.leontina          Lec.bulla        Lec.cornuta 
##        0.036281179        0.239455782        0.014512472        0.079818594        2.546938776        0.116099773 
##    Lec.curvicornis        Notholca.sp     Bra.urceolaris     Trichocerca.sp  Lec.quadridentata        Lec.kluchor 
##        0.068934240        0.003628118        0.010884354        0.101587302        0.032653061        0.025396825 
##        Lec.lunaris         Rotaria.sp         Aspelta.sp        Lec.furcata       Col.geophila    Lep.dactyliseta 
##        0.214058957        1.516553288        0.039909297        0.286621315        0.007256236        0.134240363 
##   Bra.calyciflorus       Bra.caudatus        Lec.crepida        Pla.patulus         Lec.ovalis         Lec.elasma 
##        0.003628118        0.007256236        0.032653061        0.097959184        0.010884354        0.003628118 
##   Pla.quadricornis       Lec.aculeata        Ker.tropica         Bdelloidea          Ker.lenzi      Con.unicornis 
##        0.014512472        0.079818594        0.003628118        1.235374150        0.014512472        0.021768707 
##         Alo.dadayi      Macrothrix.sp        Alonella.sp            Nauplii      Chy.eurynotus         Cyclopoida 
##        0.032653061        0.039909297        0.097959184        4.776417234        0.029024943        0.152380952 
##       Mac.collinsi         Copepodite     Paracyclops.sp        Asc.ecaudis         Lep.ovalis      Polyarthra.sp 
##        0.007256236        0.475283447        0.007256236        0.003628118        0.047165533        0.003628118 
##    Bra.havanaensis       Hexarthra.sp        Lec.hastata      Tri.tetractis      Ker.serrulata   Notodiaptomus.sp 
##        0.003628118        0.003628118        0.036281179        0.047165533        0.003628118        0.007256236 
##       Bra.falcatus      Fil.longiseta      Myt.crassipes        Lep.patella       Euchlanis.sp       Colurella.sp 
##        0.526077098        0.003628118        0.014512472        1.338775510        0.054421769        0.159637188 
##        Mytilina.sp      Lec.monostyla         Lec.ligona      Ascomorpha.sp        Pom.sulcata      Harpacticoida 
##        0.039909297        0.036281179        0.032653061        0.003628118        0.014512472        0.003628118 
##          Epi.senta       Rot.neptunia       Dis.aculeata           Lec.luna       Euc.dilatata    Bea.eudactylota 
##        0.003628118        0.032653061        0.119727891        0.054421769        0.021768707        0.010884354 
##     Chy.sphaericus     Lec.hornemanni         Dia.birgei   Mac.subquadratus Bra.quadridentatus       Pol.vulgaris 
##        0.076190476        0.076190476        0.043537415        0.010884354        0.206802721        0.391836735 
##        Pol.bicerca        Dicranop.sp        Asc.saltans         Moi.minuta       Alo.hamulata     Mac.laticornis 
##        1.186394558        1.404081633        0.021768707        0.054421769        0.021768707        0.054421769 
##           Mac.mira        Pro.similis      Alo.pulchella     Dia.spinulosum        Chydorus.sp       Ily.spinifer 
##        0.043537415        0.010884354        0.076190476        0.032653061        0.021768707        0.076190476 
##     Dun.odontoplax 
##        0.010884354 
##      Bra.angularis       Lepadella.sp          Lecane.sp       Lec.leontina          Lec.bulla        Lec.cornuta 
##         0.13073816         0.91771842         0.07980829         0.28123472        10.30321459         0.39677883 
##    Lec.curvicornis        Notholca.sp     Bra.urceolaris     Trichocerca.sp  Lec.quadridentata        Lec.kluchor 
##         0.32011588         0.02539683         0.04306241         0.43997755         0.11286596         0.09601097 
##        Lec.lunaris         Rotaria.sp         Aspelta.sp        Lec.furcata       Col.geophila    Lep.dactyliseta 
##         0.48139659         4.12290234         0.14635345         1.53952216         0.03554044         0.77366584 
##   Bra.calyciflorus       Bra.caudatus        Lec.crepida        Pla.patulus         Lec.ovalis         Lec.elasma 
##         0.02539683         0.05079365         0.11855631         0.60945767         0.04306241         0.02539683 
##   Pla.quadricornis       Lec.aculeata        Ker.tropica         Bdelloidea          Ker.lenzi      Con.unicornis 
##         0.07980829         0.27651261         0.02539683         2.55779257         0.06111970         0.09345779 
##         Alo.dadayi      Macrothrix.sp        Alonella.sp            Nauplii      Chy.eurynotus         Cyclopoida 
##         0.11855631         0.23027000         0.32873114        13.24363377         0.08391207         0.38404389 
##       Mac.collinsi         Copepodite     Paracyclops.sp        Asc.ecaudis         Lep.ovalis      Polyarthra.sp 
##         0.05079365         0.98407919         0.05079365         0.02539683         0.13949001         0.02539683 
##    Bra.havanaensis       Hexarthra.sp        Lec.hastata      Tri.tetractis      Ker.serrulata   Notodiaptomus.sp 
##         0.02539683         0.02539683         0.22945157         0.24009740         0.02539683         0.03554044 
##       Bra.falcatus      Fil.longiseta      Myt.crassipes        Lep.patella       Euchlanis.sp       Colurella.sp 
##         3.43095743         0.02539683         0.07980829         7.69424793         0.38095238         1.06620045 
##        Mytilina.sp      Lec.monostyla         Lec.ligona      Ascomorpha.sp        Pom.sulcata      Harpacticoida 
##         0.23027000         0.13073816         0.22857143         0.02539683         0.07108087         0.02539683 
##          Epi.senta       Rot.neptunia       Dis.aculeata           Lec.luna       Euc.dilatata    Bea.eudactylota 
##         0.02539683         0.16894139         0.46527164         0.38095238         0.10662131         0.07619048 
##     Chy.sphaericus     Lec.hornemanni         Dia.birgei   Mac.subquadratus Bra.quadridentatus       Pol.vulgaris 
##         0.34426519         0.53333333         0.23942486         0.07619048         1.44761905         2.74285714 
##        Pol.bicerca        Dicranop.sp        Asc.saltans         Moi.minuta       Alo.hamulata     Mac.laticornis 
##         5.83147557         9.82857143         0.15238095         0.31259768         0.10662131         0.27205442 
##           Mac.mira        Pro.similis      Alo.pulchella     Dia.spinulosum        Chydorus.sp       Ily.spinifer 
##         0.30476190         0.07619048         0.53333333         0.22857143         0.15238095         0.53333333 
##     Dun.odontoplax 
##         0.07619048 
##      Bra.angularis       Lepadella.sp          Lecane.sp       Lec.leontina          Lec.bulla        Lec.cornuta 
##          0.5333333          6.4000000          0.5333333          1.6000000         72.0000000          2.6666667 
##    Lec.curvicornis        Notholca.sp     Bra.urceolaris     Trichocerca.sp  Lec.quadridentata        Lec.kluchor 
##          1.6000000          0.1777778          0.1777778          2.6666667          0.5333333          0.5333333 
##        Lec.lunaris         Rotaria.sp         Aspelta.sp        Lec.furcata       Col.geophila    Lep.dactyliseta 
##          2.6666667         24.5333333          0.7111111         10.6666667          0.1777778          5.3333333 
##   Bra.calyciflorus       Bra.caudatus        Lec.crepida        Pla.patulus         Lec.ovalis         Lec.elasma 
##          0.1777778          0.3555556          0.5333333          4.2666667          0.1777778          0.1777778 
##   Pla.quadricornis       Lec.aculeata        Ker.tropica         Bdelloidea          Ker.lenzi      Con.unicornis 
##          0.5333333          1.6000000          0.1777778         13.3333333          0.3555556          0.5333333 
##         Alo.dadayi      Macrothrix.sp        Alonella.sp            Nauplii      Chy.eurynotus         Cyclopoida 
##          0.7111111          1.6000000          1.6000000         70.9333333          0.3555556          1.6000000 
##       Mac.collinsi         Copepodite     Paracyclops.sp        Asc.ecaudis         Lep.ovalis      Polyarthra.sp 
##          0.3555556          4.8000000          0.3555556          0.1777778          0.5333333          0.1777778 
##    Bra.havanaensis       Hexarthra.sp        Lec.hastata      Tri.tetractis      Ker.serrulata   Notodiaptomus.sp 
##          0.1777778          0.1777778          1.6000000          1.6000000          0.1777778          0.1777778 
##       Bra.falcatus      Fil.longiseta      Myt.crassipes        Lep.patella       Euchlanis.sp       Colurella.sp 
##         24.0000000          0.1777778          0.5333333         53.8666667          2.6666667          7.4666667 
##        Mytilina.sp      Lec.monostyla         Lec.ligona      Ascomorpha.sp        Pom.sulcata      Harpacticoida 
##          1.6000000          0.5333333          1.6000000          0.1777778          0.3555556          0.1777778 
##          Epi.senta       Rot.neptunia       Dis.aculeata           Lec.luna       Euc.dilatata    Bea.eudactylota 
##          0.1777778          1.0666667          2.6666667          2.6666667          0.5333333          0.5333333 
##     Chy.sphaericus     Lec.hornemanni         Dia.birgei   Mac.subquadratus Bra.quadridentatus       Pol.vulgaris 
##          2.1333333          3.7333333          1.6000000          0.5333333         10.1333333         19.2000000 
##        Pol.bicerca        Dicranop.sp        Asc.saltans         Moi.minuta       Alo.hamulata     Mac.laticornis 
##         31.4666667         68.8000000          1.0666667          2.1333333          0.5333333          1.6000000 
##           Mac.mira        Pro.similis      Alo.pulchella     Dia.spinulosum        Chydorus.sp       Ily.spinifer 
##          2.1333333          0.5333333          3.7333333          1.6000000          1.0666667          3.7333333 
##     Dun.odontoplax 
##          0.5333333 
##      Bra.angularis       Lepadella.sp          Lecane.sp       Lec.leontina          Lec.bulla        Lec.cornuta 
##                  0                  0                  0                  0                  0                  0 
##    Lec.curvicornis        Notholca.sp     Bra.urceolaris     Trichocerca.sp  Lec.quadridentata        Lec.kluchor 
##                  0                  0                  0                  0                  0                  0 
##        Lec.lunaris         Rotaria.sp         Aspelta.sp        Lec.furcata       Col.geophila    Lep.dactyliseta 
##                  0                  0                  0                  0                  0                  0 
##   Bra.calyciflorus       Bra.caudatus        Lec.crepida        Pla.patulus         Lec.ovalis         Lec.elasma 
##                  0                  0                  0                  0                  0                  0 
##   Pla.quadricornis       Lec.aculeata        Ker.tropica         Bdelloidea          Ker.lenzi      Con.unicornis 
##                  0                  0                  0                  0                  0                  0 
##         Alo.dadayi      Macrothrix.sp        Alonella.sp            Nauplii      Chy.eurynotus         Cyclopoida 
##                  0                  0                  0                  0                  0                  0 
##       Mac.collinsi         Copepodite     Paracyclops.sp        Asc.ecaudis         Lep.ovalis      Polyarthra.sp 
##                  0                  0                  0                  0                  0                  0 
##    Bra.havanaensis       Hexarthra.sp        Lec.hastata      Tri.tetractis      Ker.serrulata   Notodiaptomus.sp 
##                  0                  0                  0                  0                  0                  0 
##       Bra.falcatus      Fil.longiseta      Myt.crassipes        Lep.patella       Euchlanis.sp       Colurella.sp 
##                  0                  0                  0                  0                  0                  0 
##        Mytilina.sp      Lec.monostyla         Lec.ligona      Ascomorpha.sp        Pom.sulcata      Harpacticoida 
##                  0                  0                  0                  0                  0                  0 
##          Epi.senta       Rot.neptunia       Dis.aculeata           Lec.luna       Euc.dilatata    Bea.eudactylota 
##                  0                  0                  0                  0                  0                  0 
##     Chy.sphaericus     Lec.hornemanni         Dia.birgei   Mac.subquadratus Bra.quadridentatus       Pol.vulgaris 
##                  0                  0                  0                  0                  0                  0 
##        Pol.bicerca        Dicranop.sp        Asc.saltans         Moi.minuta       Alo.hamulata     Mac.laticornis 
##                  0                  0                  0                  0                  0                  0 
##           Mac.mira        Pro.similis      Alo.pulchella     Dia.spinulosum        Chydorus.sp       Ily.spinifer 
##                  0                  0                  0                  0                  0                  0 
##     Dun.odontoplax 
##                  0

3.5 Riqueza

Ou frequência de ocorrência (no caso da matrix transposta). Converte-se primeiro para matriz binaria

library(vegan)
bin <- decostand(m_trab,"pa")
bin
S <- apply(bin,1,sum)
S
#OU
Riqueza <- specnumber(m_trab)
Riqueza
Riqueza_total <- specnumber(colSums(m_trab))
Riqueza_total
##                    BB1-P01 BB1-P02 BB1-P03 BB2-P01 BB2-P02 BB2-P03 BB3-P01 BB3-P02 BB3-P03 BB4-P01 BB4-P02 BB4-P03
## Bra.angularis            0       1       1       0       0       0       0       0       0       0       0       0
## Lepadella.sp             0       1       1       1       1       1       0       0       0       0       0       0
## Lecane.sp                0       0       0       0       0       0       1       0       0       0       0       0
## Lec.leontina             0       0       0       0       0       0       0       0       0       0       0       0
## Lec.bulla                1       0       1       1       1       0       1       1       1       1       1       1
## Lec.cornuta              0       0       0       0       0       0       1       0       1       0       0       0
## Lec.curvicornis          0       0       0       0       0       0       0       0       0       1       0       0
## Notholca.sp              0       0       0       0       0       0       0       0       0       0       1       0
## Bra.urceolaris           1       0       0       0       0       0       0       0       0       0       0       0
## Trichocerca.sp           0       0       0       0       0       0       0       0       0       0       0       0
## Lec.quadridentata        0       0       0       0       0       0       0       0       0       0       0       0
## Lec.kluchor              1       0       0       0       0       0       0       0       0       0       0       0
## Lec.lunaris              1       1       1       0       1       1       0       0       0       0       0       0
## Rotaria.sp               0       1       0       0       0       0       0       0       0       0       1       1
## Aspelta.sp               1       0       0       0       0       0       0       0       0       0       0       0
## Lec.furcata              0       0       0       0       0       0       0       0       0       0       0       0
## Col.geophila             0       0       0       0       0       0       0       0       0       0       0       0
## Lep.dactyliseta          0       0       0       0       0       0       0       0       0       0       0       0
## Bra.calyciflorus         0       0       0       0       0       0       0       0       0       0       0       0
## Bra.caudatus             0       0       0       0       0       0       0       0       0       0       0       0
##                    BB5-P01 BB5-P02 BB5-P03 BB6-P01 BB6-P02 BB6-P03 CA1-P04 CA1-P05 CA1-P06 CA2-P04 CA2-P05 CA2-P06
## Bra.angularis            0       0       0       0       0       0       1       0       0       1       0       0
## Lepadella.sp             0       1       0       0       1       1       1       1       0       1       1       1
## Lecane.sp                0       0       0       0       0       0       0       0       0       0       0       0
## Lec.leontina             0       1       0       0       0       0       0       0       0       0       0       1
## Lec.bulla                1       1       1       1       1       1       1       1       1       1       1       1
## Lec.cornuta              0       1       0       0       0       0       0       0       0       0       0       0
## Lec.curvicornis          0       0       0       0       0       0       0       0       0       0       0       0
## Notholca.sp              0       0       0       0       0       0       0       0       0       0       0       0
## Bra.urceolaris           0       0       0       0       0       0       1       0       0       0       0       1
## Trichocerca.sp           0       0       0       0       0       0       1       1       0       0       0       0
## Lec.quadridentata        0       1       0       0       0       0       1       0       0       0       0       1
## Lec.kluchor              0       0       0       0       0       0       1       1       1       0       0       0
## Lec.lunaris              0       0       0       0       1       0       1       1       1       0       0       0
## Rotaria.sp               0       1       1       1       1       1       1       0       1       0       1       1
## Aspelta.sp               0       0       0       0       0       0       1       0       0       0       1       1
## Lec.furcata              0       0       0       0       0       0       1       0       0       0       0       0
## Col.geophila             0       0       0       0       0       0       0       1       0       0       0       0
## Lep.dactyliseta          0       0       0       0       0       0       0       1       0       0       0       0
## Bra.calyciflorus         0       0       0       0       0       0       0       1       0       0       0       0
## Bra.caudatus             0       0       0       0       0       0       0       1       0       0       0       0
##                    CA3-P04 CA3-P05 CA3-P06 CA4-P04 CA4-P05 CA4-P06 CA5-P04 CA5-P05 CA5-P06 CA6-P04 CA6-P05 CA6-P06 EN08
## Bra.angularis            0       0       0       0       0       0       0       0       0       0       0       0    0
## Lepadella.sp             1       1       1       0       0       0       0       1       0       1       0       0    0
## Lecane.sp                0       1       0       0       0       0       0       0       0       0       0       0    0
## Lec.leontina             0       0       0       0       0       0       0       1       1       0       0       0    0
## Lec.bulla                1       1       1       1       1       0       1       1       1       1       1       0    0
## Lec.cornuta              0       1       1       0       1       0       1       1       0       0       0       0    1
## Lec.curvicornis          0       0       0       0       0       0       0       0       0       0       0       0    0
## Notholca.sp              0       0       0       0       0       0       0       0       0       0       0       0    0
## Bra.urceolaris           0       0       0       0       0       0       0       0       0       0       0       0    0
## Trichocerca.sp           1       0       0       1       0       0       0       0       0       1       0       0    0
## Lec.quadridentata        0       0       0       0       0       0       0       1       0       0       0       0    0
## Lec.kluchor              0       0       0       0       0       0       0       0       0       0       0       0    0
## Lec.lunaris              0       0       0       0       0       0       0       0       0       1       0       1    1
## Rotaria.sp               0       0       0       0       0       0       1       0       1       1       1       0    1
## Aspelta.sp               1       0       0       0       0       0       0       0       0       0       0       0    0
## Lec.furcata              0       0       0       0       0       0       0       0       0       1       0       0    0
## Col.geophila             1       0       0       0       0       0       0       0       0       0       0       0    0
## Lep.dactyliseta          0       0       0       0       0       0       0       0       0       1       0       1    0
## Bra.calyciflorus         0       0       0       0       0       0       0       0       0       0       0       0    0
## Bra.caudatus             0       0       0       0       0       0       0       0       0       0       0       0    0
##                    EN09 EN10 EN11 EN12 EN13 EN15 EN16 EN14 EN17 RE19 RE18 RE07
## Bra.angularis         0    0    0    0    0    0    0    0    0    0    0    0
## Lepadella.sp          0    0    0    0    0    0    0    0    0    0    0    0
## Lecane.sp             0    0    0    0    0    0    0    0    0    0    0    0
## Lec.leontina          0    1    0    0    0    1    0    0    0    0    0    0
## Lec.bulla             1    1    1    1    1    1    0    0    0    1    1    0
## Lec.cornuta           0    0    0    1    0    1    1    0    0    0    0    0
## Lec.curvicornis       0    1    1    0    0    0    0    0    0    0    0    0
## Notholca.sp           0    0    0    0    0    0    0    0    0    0    0    0
## Bra.urceolaris        0    0    0    0    0    0    0    0    0    0    0    0
## Trichocerca.sp        0    0    0    0    0    0    0    0    0    0    0    1
## Lec.quadridentata     0    0    0    0    0    0    0    0    0    0    0    1
## Lec.kluchor           0    0    0    0    0    0    0    0    0    0    0    0
## Lec.lunaris           0    1    0    0    0    0    1    1    0    0    0    1
## Rotaria.sp            1    1    1    0    0    1    1    1    1    1    1    1
## Aspelta.sp            0    0    0    0    0    0    0    0    0    0    0    0
## Lec.furcata           0    0    1    0    0    1    0    0    0    1    0    0
## Col.geophila          0    0    0    0    0    0    0    0    0    0    0    0
## Lep.dactyliseta       0    0    0    0    0    0    0    0    0    0    0    0
## Bra.calyciflorus      0    0    0    0    0    0    0    0    0    0    0    0
## Bra.caudatus          0    0    0    0    0    0    0    0    0    0    0    0
##  [ reached getOption("max.print") -- omitted 65 rows ]
## attr(,"decostand")
## [1] "pa"
##      Bra.angularis       Lepadella.sp          Lecane.sp       Lec.leontina          Lec.bulla        Lec.cornuta 
##                  4                 18                  2                  6                 40                 12 
##    Lec.curvicornis        Notholca.sp     Bra.urceolaris     Trichocerca.sp  Lec.quadridentata        Lec.kluchor 
##                  3                  1                  3                  6                  5                  4 
##        Lec.lunaris         Rotaria.sp         Aspelta.sp        Lec.furcata       Col.geophila    Lep.dactyliseta 
##                 16                 27                  5                  5                  2                  3 
##   Bra.calyciflorus       Bra.caudatus        Lec.crepida        Pla.patulus         Lec.ovalis         Lec.elasma 
##                  1                  1                  4                  4                  3                  1 
##   Pla.quadricornis       Lec.aculeata        Ker.tropica         Bdelloidea          Ker.lenzi      Con.unicornis 
##                  2                  6                  1                 24                  3                  3 
##         Alo.dadayi      Macrothrix.sp        Alonella.sp            Nauplii      Chy.eurynotus         Cyclopoida 
##                  5                  3                  8                 44                  6                 11 
##       Mac.collinsi         Copepodite     Paracyclops.sp        Asc.ecaudis         Lep.ovalis      Polyarthra.sp 
##                  1                 23                  1                  1                  6                  1 
##    Bra.havanaensis       Hexarthra.sp        Lec.hastata      Tri.tetractis      Ker.serrulata   Notodiaptomus.sp 
##                  1                  1                  2                  3                  1                  2 
##       Bra.falcatus      Fil.longiseta      Myt.crassipes        Lep.patella       Euchlanis.sp       Colurella.sp 
##                  3                  1                  2                  8                  1                  3 
##        Mytilina.sp      Lec.monostyla         Lec.ligona      Ascomorpha.sp        Pom.sulcata      Harpacticoida 
##                  3                  4                  1                  1                  2                  1 
##          Epi.senta       Rot.neptunia       Dis.aculeata           Lec.luna       Euc.dilatata    Bea.eudactylota 
##                  1                  2                  4                  1                  2                  1 
##     Chy.sphaericus     Lec.hornemanni         Dia.birgei   Mac.subquadratus Bra.quadridentatus       Pol.vulgaris 
##                  3                  1                  2                  1                  1                  1 
##        Pol.bicerca        Dicranop.sp        Asc.saltans         Moi.minuta       Alo.hamulata     Mac.laticornis 
##                  2                  1                  1                  2                  2                  2 
##           Mac.mira        Pro.similis      Alo.pulchella     Dia.spinulosum        Chydorus.sp       Ily.spinifer 
##                  1                  1                  1                  1                  1                  1 
##     Dun.odontoplax 
##                  1 
##      Bra.angularis       Lepadella.sp          Lecane.sp       Lec.leontina          Lec.bulla        Lec.cornuta 
##                  4                 18                  2                  6                 40                 12 
##    Lec.curvicornis        Notholca.sp     Bra.urceolaris     Trichocerca.sp  Lec.quadridentata        Lec.kluchor 
##                  3                  1                  3                  6                  5                  4 
##        Lec.lunaris         Rotaria.sp         Aspelta.sp        Lec.furcata       Col.geophila    Lep.dactyliseta 
##                 16                 27                  5                  5                  2                  3 
##   Bra.calyciflorus       Bra.caudatus        Lec.crepida        Pla.patulus         Lec.ovalis         Lec.elasma 
##                  1                  1                  4                  4                  3                  1 
##   Pla.quadricornis       Lec.aculeata        Ker.tropica         Bdelloidea          Ker.lenzi      Con.unicornis 
##                  2                  6                  1                 24                  3                  3 
##         Alo.dadayi      Macrothrix.sp        Alonella.sp            Nauplii      Chy.eurynotus         Cyclopoida 
##                  5                  3                  8                 44                  6                 11 
##       Mac.collinsi         Copepodite     Paracyclops.sp        Asc.ecaudis         Lep.ovalis      Polyarthra.sp 
##                  1                 23                  1                  1                  6                  1 
##    Bra.havanaensis       Hexarthra.sp        Lec.hastata      Tri.tetractis      Ker.serrulata   Notodiaptomus.sp 
##                  1                  1                  2                  3                  1                  2 
##       Bra.falcatus      Fil.longiseta      Myt.crassipes        Lep.patella       Euchlanis.sp       Colurella.sp 
##                  3                  1                  2                  8                  1                  3 
##        Mytilina.sp      Lec.monostyla         Lec.ligona      Ascomorpha.sp        Pom.sulcata      Harpacticoida 
##                  3                  4                  1                  1                  2                  1 
##          Epi.senta       Rot.neptunia       Dis.aculeata           Lec.luna       Euc.dilatata    Bea.eudactylota 
##                  1                  2                  4                  1                  2                  1 
##     Chy.sphaericus     Lec.hornemanni         Dia.birgei   Mac.subquadratus Bra.quadridentatus       Pol.vulgaris 
##                  3                  1                  2                  1                  1                  1 
##        Pol.bicerca        Dicranop.sp        Asc.saltans         Moi.minuta       Alo.hamulata     Mac.laticornis 
##                  2                  1                  1                  2                  2                  2 
##           Mac.mira        Pro.similis      Alo.pulchella     Dia.spinulosum        Chydorus.sp       Ily.spinifer 
##                  1                  1                  1                  1                  1                  1 
##     Dun.odontoplax 
##                  1 
## [1] 49

3.6 Índices de Diversidade

3.6.1 Shannon

O índice de diversidade de Shannon ou Shannon–Weaver (or Shannon–Wiener) é uma medida de diversidade que leva em consideração tanto a riqueza de espécies quanto a uniformidade na distribuição dessas espécies (Dixon 2003; Oksanen et al. 2017). Este índice é definido por:

\[ H' = -\sum_{i} p_i\log_{b} p_i \] Onde:

  • \(H'\) é a entropia de Shannon.
  • \(p_i\) é a abundância proporcional da espécie \(i\).
  • \(b\) é a base do logaritmo.

É mais comum usar-se o logarítmo natural, embora pode-se argumentar que para o logarítmo de base = 2 (o que faz sentido mas nenhuma diferença)

Outra fórmula para calcular o índice de diversidade de Shannon é:

\[ H' = -\sum_{i=1}^{S} \left( \frac{n_i}{N} \times \ln\frac{n_i}{N} \right) \]

Onde:

  • \(H'\) é a entropia de Shannon (ou a diversidade de Shannon).
  • \(n_i\) é o número de indivíduos da espécie \(i\).
  • \(N\) é o número total de indivíduos na comunidade.
  • \(S\) é o número total de espécies na comunidade.

Esta fórmula mede a incerteza na identificação de uma espécie selecionada aleatoriamente da comunidade. Quanto maior o valor de \(H'\), maior a diversidade da comunidade.

H <- diversity(m_trab, index = "shannon")
H
##      Bra.angularis       Lepadella.sp          Lecane.sp       Lec.leontina          Lec.bulla        Lec.cornuta 
##          1.3138340          1.9040851          0.5623351          1.5144760          2.0055324          1.8873527 
##    Lec.curvicornis        Notholca.sp     Bra.urceolaris     Trichocerca.sp  Lec.quadridentata        Lec.kluchor 
##          0.8628578          0.0000000          1.0986123          1.1752126          1.4648164          1.2770343 
##        Lec.lunaris         Rotaria.sp         Aspelta.sp        Lec.furcata       Col.geophila    Lep.dactyliseta 
##          2.4132557          2.2565973          1.3896812          0.8316999          0.6931472          0.5626347 
##   Bra.calyciflorus       Bra.caudatus        Lec.crepida        Pla.patulus         Lec.ovalis         Lec.elasma 
##          0.0000000          0.0000000          1.3107837          0.4709001          1.0986123          0.0000000 
##   Pla.quadricornis       Lec.aculeata        Ker.tropica         Bdelloidea          Ker.lenzi      Con.unicornis 
##          0.5623351          1.5267750          0.0000000          2.5728447          1.0397208          1.0114043 
##         Alo.dadayi      Macrothrix.sp        Alonella.sp            Nauplii      Chy.eurynotus         Cyclopoida 
##          1.4270610          0.6001661          1.6576082          2.2897987          1.7328680          2.0941190 
##       Mac.collinsi         Copepodite     Paracyclops.sp        Asc.ecaudis         Lep.ovalis      Polyarthra.sp 
##          0.0000000          2.5817736          0.0000000          0.0000000          1.6977336          0.0000000 
##    Bra.havanaensis       Hexarthra.sp        Lec.hastata      Tri.tetractis      Ker.serrulata   Notodiaptomus.sp 
##          0.0000000          0.0000000          0.3250830          0.7902680          0.0000000          0.6931472 
##       Bra.falcatus      Fil.longiseta      Myt.crassipes        Lep.patella       Euchlanis.sp       Colurella.sp 
##          0.2733743          0.0000000          0.5623351          0.7815039          0.0000000          0.2164141 
##        Mytilina.sp      Lec.monostyla         Lec.ligona      Ascomorpha.sp        Pom.sulcata      Harpacticoida 
##          0.6001661          1.3138340          0.0000000          0.0000000          0.6931472          0.0000000 
##          Epi.senta       Rot.neptunia       Dis.aculeata           Lec.luna       Euc.dilatata    Bea.eudactylota 
##          0.0000000          0.6365142          1.2406843          0.0000000          0.6931472          0.0000000 
##     Chy.sphaericus     Lec.hornemanni         Dia.birgei   Mac.subquadratus Bra.quadridentatus       Pol.vulgaris 
##          0.9556999          0.0000000          0.5623351          0.0000000          0.0000000          0.0000000 
##        Pol.bicerca        Dicranop.sp        Asc.saltans         Moi.minuta       Alo.hamulata     Mac.laticornis 
##          0.6897345          0.0000000          0.0000000          0.5004024          0.6931472          0.6730117 
##           Mac.mira        Pro.similis      Alo.pulchella     Dia.spinulosum        Chydorus.sp       Ily.spinifer 
##          0.0000000          0.0000000          0.0000000          0.0000000          0.0000000          0.0000000 
##     Dun.odontoplax 
##          0.0000000

3.6.2 Simpson

O índice de diversidade de Simpson é uma medida de diversidade que leva em consideração a riqueza de espécies e a abundância relativa de cada espécie em uma comunidade. A fórmula para calcular o índice de diversidade de Simpson é:

\[ D = 1 - \sum_{i=1}^{S} \left( \frac{n_i (n_i - 1)}{N (N - 1)} \right) \]

Onde:

  • \(D\) é o índice de diversidade de Simpson.
  • \(n_i\) é o número de indivíduos da espécie \(i\).
  • \(N\) é o número total de indivíduos na comunidade.
  • \(S\) é o número total de espécies na comunidade.

Esta fórmula fornece um valor entre 0 e 1, onde 0 indica uma comunidade com apenas uma espécie presente e 1 indica uma comunidade com uma distribuição uniforme de espécies.

Existem duas variantes do índice de Simpson baseado em \(D = \sum p_i^2\) (Dixon 2003; Oksanen et al. 2017; Hurlbert 1971):

  • Ao escolhermos simpson o R retorna \(1 - D\), e
  • ao escolhermos invsimpson o R retorna \(1/D\) .
D <- diversity(m_trab, "simpson")
D
##      Bra.angularis       Lepadella.sp          Lecane.sp       Lec.leontina          Lec.bulla        Lec.cornuta 
##         0.72000000         0.68595041         0.37500000         0.73140496         0.65243383         0.74609375 
##    Lec.curvicornis        Notholca.sp     Bra.urceolaris     Trichocerca.sp  Lec.quadridentata        Lec.kluchor 
##         0.54847645         0.00000000         0.66666667         0.60459184         0.74074074         0.69387755 
##        Lec.lunaris         Rotaria.sp         Aspelta.sp        Lec.furcata       Col.geophila    Lep.dactyliseta 
##         0.87848319         0.83183764         0.71074380         0.40282006         0.50000000         0.31555880 
##   Bra.calyciflorus       Bra.caudatus        Lec.crepida        Pla.patulus         Lec.ovalis         Lec.elasma 
##         0.00000000         0.00000000         0.71604938         0.20576132         0.66666667         0.00000000 
##   Pla.quadricornis       Lec.aculeata        Ker.tropica         Bdelloidea          Ker.lenzi      Con.unicornis 
##         0.37500000         0.73966942         0.00000000         0.89389147         0.62500000         0.61111111 
##         Alo.dadayi      Macrothrix.sp        Alonella.sp            Nauplii      Chy.eurynotus         Cyclopoida 
##         0.71604938         0.31404959         0.75445816         0.82589714         0.81250000         0.85260771 
##       Mac.collinsi         Copepodite     Paracyclops.sp        Asc.ecaudis         Lep.ovalis      Polyarthra.sp 
##         0.00000000         0.89388730         0.00000000         0.00000000         0.80473373         0.00000000 
##    Bra.havanaensis       Hexarthra.sp        Lec.hastata      Tri.tetractis      Ker.serrulata   Notodiaptomus.sp 
##         0.00000000         0.00000000         0.18000000         0.46153846         0.00000000         0.50000000 
##       Bra.falcatus      Fil.longiseta      Myt.crassipes        Lep.patella       Euchlanis.sp       Colurella.sp 
##         0.12927467         0.00000000         0.37500000         0.31925441         0.00000000         0.08780992 
##        Mytilina.sp      Lec.monostyla         Lec.ligona      Ascomorpha.sp        Pom.sulcata      Harpacticoida 
##         0.31404959         0.72000000         0.00000000         0.00000000         0.50000000         0.00000000 
##          Epi.senta       Rot.neptunia       Dis.aculeata           Lec.luna       Euc.dilatata    Bea.eudactylota 
##         0.00000000         0.44444444         0.67768595         0.00000000         0.50000000         0.00000000 
##     Chy.sphaericus     Lec.hornemanni         Dia.birgei   Mac.subquadratus Bra.quadridentatus       Pol.vulgaris 
##         0.57142857         0.00000000         0.37500000         0.00000000         0.00000000         0.00000000 
##        Pol.bicerca        Dicranop.sp        Asc.saltans         Moi.minuta       Alo.hamulata     Mac.laticornis 
##         0.49659120         0.00000000         0.00000000         0.32000000         0.50000000         0.48000000 
##           Mac.mira        Pro.similis      Alo.pulchella     Dia.spinulosum        Chydorus.sp       Ily.spinifer 
##         0.00000000         0.00000000         0.00000000         0.00000000         0.00000000         0.00000000 
##     Dun.odontoplax 
##         0.00000000
D[is.na(D)] <- 0 #substitui NA ou NaN por 0
D
##      Bra.angularis       Lepadella.sp          Lecane.sp       Lec.leontina          Lec.bulla        Lec.cornuta 
##         0.72000000         0.68595041         0.37500000         0.73140496         0.65243383         0.74609375 
##    Lec.curvicornis        Notholca.sp     Bra.urceolaris     Trichocerca.sp  Lec.quadridentata        Lec.kluchor 
##         0.54847645         0.00000000         0.66666667         0.60459184         0.74074074         0.69387755 
##        Lec.lunaris         Rotaria.sp         Aspelta.sp        Lec.furcata       Col.geophila    Lep.dactyliseta 
##         0.87848319         0.83183764         0.71074380         0.40282006         0.50000000         0.31555880 
##   Bra.calyciflorus       Bra.caudatus        Lec.crepida        Pla.patulus         Lec.ovalis         Lec.elasma 
##         0.00000000         0.00000000         0.71604938         0.20576132         0.66666667         0.00000000 
##   Pla.quadricornis       Lec.aculeata        Ker.tropica         Bdelloidea          Ker.lenzi      Con.unicornis 
##         0.37500000         0.73966942         0.00000000         0.89389147         0.62500000         0.61111111 
##         Alo.dadayi      Macrothrix.sp        Alonella.sp            Nauplii      Chy.eurynotus         Cyclopoida 
##         0.71604938         0.31404959         0.75445816         0.82589714         0.81250000         0.85260771 
##       Mac.collinsi         Copepodite     Paracyclops.sp        Asc.ecaudis         Lep.ovalis      Polyarthra.sp 
##         0.00000000         0.89388730         0.00000000         0.00000000         0.80473373         0.00000000 
##    Bra.havanaensis       Hexarthra.sp        Lec.hastata      Tri.tetractis      Ker.serrulata   Notodiaptomus.sp 
##         0.00000000         0.00000000         0.18000000         0.46153846         0.00000000         0.50000000 
##       Bra.falcatus      Fil.longiseta      Myt.crassipes        Lep.patella       Euchlanis.sp       Colurella.sp 
##         0.12927467         0.00000000         0.37500000         0.31925441         0.00000000         0.08780992 
##        Mytilina.sp      Lec.monostyla         Lec.ligona      Ascomorpha.sp        Pom.sulcata      Harpacticoida 
##         0.31404959         0.72000000         0.00000000         0.00000000         0.50000000         0.00000000 
##          Epi.senta       Rot.neptunia       Dis.aculeata           Lec.luna       Euc.dilatata    Bea.eudactylota 
##         0.00000000         0.44444444         0.67768595         0.00000000         0.50000000         0.00000000 
##     Chy.sphaericus     Lec.hornemanni         Dia.birgei   Mac.subquadratus Bra.quadridentatus       Pol.vulgaris 
##         0.57142857         0.00000000         0.37500000         0.00000000         0.00000000         0.00000000 
##        Pol.bicerca        Dicranop.sp        Asc.saltans         Moi.minuta       Alo.hamulata     Mac.laticornis 
##         0.49659120         0.00000000         0.00000000         0.32000000         0.50000000         0.48000000 
##           Mac.mira        Pro.similis      Alo.pulchella     Dia.spinulosum        Chydorus.sp       Ily.spinifer 
##         0.00000000         0.00000000         0.00000000         0.00000000         0.00000000         0.00000000 
##     Dun.odontoplax 
##         0.00000000

3.6.3 Equitabilidade de Pielou

O índice de equitabilidade de Pielou é uma medida de uniformidade em uma distribuição de espécies (Pielou 1975). Sua fórmula é dada por:

\[ J' = \frac{H'}{\ln(S)} \]

Onde:

  • \(J'\) é o índice de equitabilidade de Pielou.
  • \(H'\) é a entropia de Shannon (ou a diversidade de Shannon), que é calculada como \(-\sum_{i=1}^{S} p_i \cdot \ln(p_i)\), onde \(S\) é o número total de espécies e \(p_i\) é a proporção da espécie \(i\).
  • \(\ln(S)\) é o logarítmo natural do número total de espécies na comunidade.

Esta fórmula fornece um valor entre 0 e 1, onde 0 indica uma distribuição completamente desigual onde uma comunidade apresenta uma única espécie dominante e 1 indica uma distribuição completamente equitativa onde todas as espécies têm a mesma abundância.

E <- H/log(specnumber(m_trab))
E
##      Bra.angularis       Lepadella.sp          Lecane.sp       Lec.leontina          Lec.bulla        Lec.cornuta 
##          0.9477309          0.6587682          0.8112781          0.8452452          0.5436698          0.7595266 
##    Lec.curvicornis        Notholca.sp     Bra.urceolaris     Trichocerca.sp  Lec.quadridentata        Lec.kluchor 
##          0.7854070                NaN          1.0000000          0.6558986          0.9101416          0.9211855 
##        Lec.lunaris         Rotaria.sp         Aspelta.sp        Lec.furcata       Col.geophila    Lep.dactyliseta 
##          0.8703980          0.6846811          0.8634575          0.5167642          1.0000000          0.5121322 
##   Bra.calyciflorus       Bra.caudatus        Lec.crepida        Pla.patulus         Lec.ovalis         Lec.elasma 
##                NaN                NaN          0.9455306          0.3396826          1.0000000                NaN 
##   Pla.quadricornis       Lec.aculeata        Ker.tropica         Bdelloidea          Ker.lenzi      Con.unicornis 
##          0.8112781          0.8521093                NaN          0.8095661          0.9463946          0.9206198 
##         Alo.dadayi      Macrothrix.sp        Alonella.sp            Nauplii      Chy.eurynotus         Cyclopoida 
##          0.8866829          0.5462947          0.7971410          0.6050962          0.9671320          0.8733155 
##       Mac.collinsi         Copepodite     Paracyclops.sp        Asc.ecaudis         Lep.ovalis      Polyarthra.sp 
##                NaN          0.8234024                NaN                NaN          0.9475232                NaN 
##    Bra.havanaensis       Hexarthra.sp        Lec.hastata      Tri.tetractis      Ker.serrulata   Notodiaptomus.sp 
##                NaN                NaN          0.4689956          0.7193329                NaN          1.0000000 
##       Bra.falcatus      Fil.longiseta      Myt.crassipes        Lep.patella       Euchlanis.sp       Colurella.sp 
##          0.2488360                NaN          0.8112781          0.3758239                NaN          0.1969886 
##        Mytilina.sp      Lec.monostyla         Lec.ligona      Ascomorpha.sp        Pom.sulcata      Harpacticoida 
##          0.5462947          0.9477309                NaN                NaN          1.0000000                NaN 
##          Epi.senta       Rot.neptunia       Dis.aculeata           Lec.luna       Euc.dilatata    Bea.eudactylota 
##                NaN          0.9182958          0.8949645                NaN          1.0000000                NaN 
##     Chy.sphaericus     Lec.hornemanni         Dia.birgei   Mac.subquadratus Bra.quadridentatus       Pol.vulgaris 
##          0.8699155                NaN          0.8112781                NaN                NaN                NaN 
##        Pol.bicerca        Dicranop.sp        Asc.saltans         Moi.minuta       Alo.hamulata     Mac.laticornis 
##          0.9950765                NaN                NaN          0.7219281          1.0000000          0.9709506 
##           Mac.mira        Pro.similis      Alo.pulchella     Dia.spinulosum        Chydorus.sp       Ily.spinifer 
##                NaN                NaN                NaN                NaN                NaN                NaN 
##     Dun.odontoplax 
##                NaN
E[is.na(E)] <- 0 #substitui NA ou NaN por 0
E
##      Bra.angularis       Lepadella.sp          Lecane.sp       Lec.leontina          Lec.bulla        Lec.cornuta 
##          0.9477309          0.6587682          0.8112781          0.8452452          0.5436698          0.7595266 
##    Lec.curvicornis        Notholca.sp     Bra.urceolaris     Trichocerca.sp  Lec.quadridentata        Lec.kluchor 
##          0.7854070          0.0000000          1.0000000          0.6558986          0.9101416          0.9211855 
##        Lec.lunaris         Rotaria.sp         Aspelta.sp        Lec.furcata       Col.geophila    Lep.dactyliseta 
##          0.8703980          0.6846811          0.8634575          0.5167642          1.0000000          0.5121322 
##   Bra.calyciflorus       Bra.caudatus        Lec.crepida        Pla.patulus         Lec.ovalis         Lec.elasma 
##          0.0000000          0.0000000          0.9455306          0.3396826          1.0000000          0.0000000 
##   Pla.quadricornis       Lec.aculeata        Ker.tropica         Bdelloidea          Ker.lenzi      Con.unicornis 
##          0.8112781          0.8521093          0.0000000          0.8095661          0.9463946          0.9206198 
##         Alo.dadayi      Macrothrix.sp        Alonella.sp            Nauplii      Chy.eurynotus         Cyclopoida 
##          0.8866829          0.5462947          0.7971410          0.6050962          0.9671320          0.8733155 
##       Mac.collinsi         Copepodite     Paracyclops.sp        Asc.ecaudis         Lep.ovalis      Polyarthra.sp 
##          0.0000000          0.8234024          0.0000000          0.0000000          0.9475232          0.0000000 
##    Bra.havanaensis       Hexarthra.sp        Lec.hastata      Tri.tetractis      Ker.serrulata   Notodiaptomus.sp 
##          0.0000000          0.0000000          0.4689956          0.7193329          0.0000000          1.0000000 
##       Bra.falcatus      Fil.longiseta      Myt.crassipes        Lep.patella       Euchlanis.sp       Colurella.sp 
##          0.2488360          0.0000000          0.8112781          0.3758239          0.0000000          0.1969886 
##        Mytilina.sp      Lec.monostyla         Lec.ligona      Ascomorpha.sp        Pom.sulcata      Harpacticoida 
##          0.5462947          0.9477309          0.0000000          0.0000000          1.0000000          0.0000000 
##          Epi.senta       Rot.neptunia       Dis.aculeata           Lec.luna       Euc.dilatata    Bea.eudactylota 
##          0.0000000          0.9182958          0.8949645          0.0000000          1.0000000          0.0000000 
##     Chy.sphaericus     Lec.hornemanni         Dia.birgei   Mac.subquadratus Bra.quadridentatus       Pol.vulgaris 
##          0.8699155          0.0000000          0.8112781          0.0000000          0.0000000          0.0000000 
##        Pol.bicerca        Dicranop.sp        Asc.saltans         Moi.minuta       Alo.hamulata     Mac.laticornis 
##          0.9950765          0.0000000          0.0000000          0.7219281          1.0000000          0.9709506 
##           Mac.mira        Pro.similis      Alo.pulchella     Dia.spinulosum        Chydorus.sp       Ily.spinifer 
##          0.0000000          0.0000000          0.0000000          0.0000000          0.0000000          0.0000000 
##     Dun.odontoplax 
##          0.0000000

3.6.3.1 Assimetria e curtose

library(moments)
Assimetria <- apply(m_trab,1,skewness)
Assimetria
##      Bra.angularis       Lepadella.sp          Lecane.sp       Lec.leontina          Lec.bulla        Lec.cornuta 
##           3.476655           6.363013           5.957144           4.273584           6.461601           5.645693 
##    Lec.curvicornis        Notholca.sp     Bra.urceolaris     Trichocerca.sp  Lec.quadridentata        Lec.kluchor 
##           4.597181           6.783866           3.660403           4.991817           3.786828           4.123459 
##        Lec.lunaris         Rotaria.sp         Aspelta.sp        Lec.furcata       Col.geophila    Lep.dactyliseta 
##           3.413726           4.149242           4.094856           6.461638           4.641396           6.419702 
##   Bra.calyciflorus       Bra.caudatus        Lec.crepida        Pla.patulus         Lec.ovalis         Lec.elasma 
##           6.783866           6.783866           3.614935           6.732329           3.660403           6.783866 
##   Pla.quadricornis       Lec.aculeata        Ker.tropica         Bdelloidea          Ker.lenzi      Con.unicornis 
##           5.957144           4.190788           6.783866           2.978950           4.446423           4.496792 
##         Alo.dadayi      Macrothrix.sp        Alonella.sp            Nauplii      Chy.eurynotus         Cyclopoida 
##           4.466614           6.549959           4.053351           3.797043           2.912236           2.816981 
##       Mac.collinsi         Copepodite     Paracyclops.sp        Asc.ecaudis         Lep.ovalis      Polyarthra.sp 
##           6.783866           2.886668           6.783866           6.783866           2.900572           6.783866 
##    Bra.havanaensis       Hexarthra.sp        Lec.hastata      Tri.tetractis      Ker.serrulata   Notodiaptomus.sp 
##           6.783866           6.783866           6.663554           5.865222           6.783866           4.641396 
##       Bra.falcatus      Fil.longiseta      Myt.crassipes        Lep.patella       Euchlanis.sp       Colurella.sp 
##           6.738488           6.783866           5.957144           6.693569           6.783866           6.772263 
##        Mytilina.sp      Lec.monostyla         Lec.ligona      Ascomorpha.sp        Pom.sulcata      Harpacticoida 
##           6.549959           3.476655           6.783866           6.783866           4.641396           6.783866 
##          Epi.senta       Rot.neptunia       Dis.aculeata           Lec.luna       Euc.dilatata    Bea.eudactylota 
##           6.783866           5.366983           4.306765           6.783866           4.641396           6.783866 
##     Chy.sphaericus     Lec.hornemanni         Dia.birgei   Mac.subquadratus Bra.quadridentatus       Pol.vulgaris 
##           5.031153           6.783866           5.957144           6.783866           6.783866           6.783866 
##        Pol.bicerca        Dicranop.sp        Asc.saltans         Moi.minuta       Alo.hamulata     Mac.laticornis 
##           4.694623           6.783866           6.783866           6.261844           4.641396           4.935917 
##           Mac.mira        Pro.similis      Alo.pulchella     Dia.spinulosum        Chydorus.sp       Ily.spinifer 
##           6.783866           6.783866           6.783866           6.783866           6.783866           6.783866 
##     Dun.odontoplax 
##           6.783866
Curtose <- apply(m_trab,1,kurtosis)
Curtose
##      Bra.angularis       Lepadella.sp          Lecane.sp       Lec.leontina          Lec.bulla        Lec.cornuta 
##          13.364950          43.193400          38.356754          21.445502          43.934851          36.397244 
##    Lec.curvicornis        Notholca.sp     Bra.urceolaris     Trichocerca.sp  Lec.quadridentata        Lec.kluchor 
##          22.260592          47.020833          14.398551          27.433083          16.652473          19.908163 
##        Lec.lunaris         Rotaria.sp         Aspelta.sp        Lec.furcata       Col.geophila    Lep.dactyliseta 
##          16.091866          21.721303          18.872150          43.964610          22.542553          43.417838 
##   Bra.calyciflorus       Bra.caudatus        Lec.crepida        Pla.patulus         Lec.ovalis         Lec.elasma 
##          47.020833          47.020833          14.753227          46.553383          14.398551          47.020833 
##   Pla.quadricornis       Lec.aculeata        Ker.tropica         Bdelloidea          Ker.lenzi      Con.unicornis 
##          38.356754          21.301967          47.020833          12.576162          22.785803          22.720535 
##         Alo.dadayi      Macrothrix.sp        Alonella.sp            Nauplii      Chy.eurynotus         Cyclopoida 
##          24.127985          44.815176          18.620513          17.005265          10.606273          10.016103 
##       Mac.collinsi         Copepodite     Paracyclops.sp        Asc.ecaudis         Lep.ovalis      Polyarthra.sp 
##          47.020833          11.289662          47.020833          47.020833           9.967459          47.020833 
##    Bra.havanaensis       Hexarthra.sp        Lec.hastata      Tri.tetractis      Ker.serrulata   Notodiaptomus.sp 
##          47.020833          47.020833          45.879552          37.571252          47.020833          22.542553 
##       Bra.falcatus      Fil.longiseta      Myt.crassipes        Lep.patella       Euchlanis.sp       Colurella.sp 
##          46.601720          47.020833          38.356754          46.197490          47.020833          46.916558 
##        Mytilina.sp      Lec.monostyla         Lec.ligona      Ascomorpha.sp        Pom.sulcata      Harpacticoida 
##          44.815176          13.364950          47.020833          47.020833          22.542553          47.020833 
##          Epi.senta       Rot.neptunia       Dis.aculeata           Lec.luna       Euc.dilatata    Bea.eudactylota 
##          47.020833          31.487216          21.658190          47.020833          22.542553          47.020833 
##     Chy.sphaericus     Lec.hornemanni         Dia.birgei   Mac.subquadratus Bra.quadridentatus       Pol.vulgaris 
##          28.640000          47.020833          38.356754          47.020833          47.020833          47.020833 
##        Pol.bicerca        Dicranop.sp        Asc.saltans         Moi.minuta       Alo.hamulata     Mac.laticornis 
##          23.214798          47.020833          47.020833          41.720125          22.542553          26.231706 
##           Mac.mira        Pro.similis      Alo.pulchella     Dia.spinulosum        Chydorus.sp       Ily.spinifer 
##          47.020833          47.020833          47.020833          47.020833          47.020833          47.020833 
##     Dun.odontoplax 
##          47.020833

3.7 Descritores da estrutura da comunidade

Descritores1 <- cbind(Sum, Mean, DP, Max, Min, S, E, H, D)
Descritores1 <- as.data.frame(Descritores1)
Descritores1
#Descritores1 <- Descritores1 %>% rownames_to_column(var="Espécies") #da nome a primeira coluna
SomaTotalD <- apply(Descritores1,2,sum)
SomaTotalD
MediaTotalD <- apply(Descritores1,2,mean)
MediaTotalD
DPTotalD <- apply(Descritores1,2,sd)
DPTotalD
Descritores2 <- cbind(SomaTotalD, MediaTotalD, DPTotalD)
Descritores2 <- as.data.frame(Descritores2)
Descritores2 <- t(Descritores2)
Descritores2
DescritoresFinal <- rbind(Descritores1, Descritores2)
DescritoresFinal
DescritoresFinal <- round (DescritoresFinal, 2)
DescritoresFinal
##                            Sum        Mean          DP        Max Min  S         E         H          D
## Bra.angularis        1.7777778 0.036281179  0.13073816  0.5333333   0  4 0.9477309 1.3138340 0.72000000
## Lepadella.sp        11.7333333 0.239455782  0.91771842  6.4000000   0 18 0.6587682 1.9040851 0.68595041
## Lecane.sp            0.7111111 0.014512472  0.07980829  0.5333333   0  2 0.8112781 0.5623351 0.37500000
## Lec.leontina         3.9111111 0.079818594  0.28123472  1.6000000   0  6 0.8452452 1.5144760 0.73140496
## Lec.bulla          124.8000000 2.546938776 10.30321459 72.0000000   0 40 0.5436698 2.0055324 0.65243383
## Lec.cornuta          5.6888889 0.116099773  0.39677883  2.6666667   0 12 0.7595266 1.8873527 0.74609375
## Lec.curvicornis      3.3777778 0.068934240  0.32011588  1.6000000   0  3 0.7854070 0.8628578 0.54847645
## Notholca.sp          0.1777778 0.003628118  0.02539683  0.1777778   0  1 0.0000000 0.0000000 0.00000000
## Bra.urceolaris       0.5333333 0.010884354  0.04306241  0.1777778   0  3 1.0000000 1.0986123 0.66666667
## Trichocerca.sp       4.9777778 0.101587302  0.43997755  2.6666667   0  6 0.6558986 1.1752126 0.60459184
## Lec.quadridentata    1.6000000 0.032653061  0.11286596  0.5333333   0  5 0.9101416 1.4648164 0.74074074
## Lec.kluchor          1.2444444 0.025396825  0.09601097  0.5333333   0  4 0.9211855 1.2770343 0.69387755
## Lec.lunaris         10.4888889 0.214058957  0.48139659  2.6666667   0 16 0.8703980 2.4132557 0.87848319
## Rotaria.sp          74.3111111 1.516553288  4.12290234 24.5333333   0 27 0.6846811 2.2565973 0.83183764
## Aspelta.sp           1.9555556 0.039909297  0.14635345  0.7111111   0  5 0.8634575 1.3896812 0.71074380
## Lec.furcata         14.0444444 0.286621315  1.53952216 10.6666667   0  5 0.5167642 0.8316999 0.40282006
## Col.geophila         0.3555556 0.007256236  0.03554044  0.1777778   0  2 1.0000000 0.6931472 0.50000000
## Lep.dactyliseta      6.5777778 0.134240363  0.77366584  5.3333333   0  3 0.5121322 0.5626347 0.31555880
## Bra.calyciflorus     0.1777778 0.003628118  0.02539683  0.1777778   0  1 0.0000000 0.0000000 0.00000000
## Bra.caudatus         0.3555556 0.007256236  0.05079365  0.3555556   0  1 0.0000000 0.0000000 0.00000000
## Lec.crepida          1.6000000 0.032653061  0.11855631  0.5333333   0  4 0.9455306 1.3107837 0.71604938
## Pla.patulus          4.8000000 0.097959184  0.60945767  4.2666667   0  4 0.3396826 0.4709001 0.20576132
## Lec.ovalis           0.5333333 0.010884354  0.04306241  0.1777778   0  3 1.0000000 1.0986123 0.66666667
## Lec.elasma           0.1777778 0.003628118  0.02539683  0.1777778   0  1 0.0000000 0.0000000 0.00000000
## Pla.quadricornis     0.7111111 0.014512472  0.07980829  0.5333333   0  2 0.8112781 0.5623351 0.37500000
## Lec.aculeata         3.9111111 0.079818594  0.27651261  1.6000000   0  6 0.8521093 1.5267750 0.73966942
## Ker.tropica          0.1777778 0.003628118  0.02539683  0.1777778   0  1 0.0000000 0.0000000 0.00000000
## Bdelloidea          60.5333333 1.235374150  2.55779257 13.3333333   0 24 0.8095661 2.5728447 0.89389147
## Ker.lenzi            0.7111111 0.014512472  0.06111970  0.3555556   0  3 0.9463946 1.0397208 0.62500000
## Con.unicornis        1.0666667 0.021768707  0.09345779  0.5333333   0  3 0.9206198 1.0114043 0.61111111
## Alo.dadayi           1.6000000 0.032653061  0.11855631  0.7111111   0  5 0.8866829 1.4270610 0.71604938
## Macrothrix.sp        1.9555556 0.039909297  0.23027000  1.6000000   0  3 0.5462947 0.6001661 0.31404959
## Alonella.sp          4.8000000 0.097959184  0.32873114  1.6000000   0  8 0.7971410 1.6576082 0.75445816
## Nauplii            234.0444444 4.776417234 13.24363377 70.9333333   0 44 0.6050962 2.2897987 0.82589714
## Chy.eurynotus        1.4222222 0.029024943  0.08391207  0.3555556   0  6 0.9671320 1.7328680 0.81250000
## Cyclopoida           7.4666667 0.152380952  0.38404389  1.6000000   0 11 0.8733155 2.0941190 0.85260771
## Mac.collinsi         0.3555556 0.007256236  0.05079365  0.3555556   0  1 0.0000000 0.0000000 0.00000000
## Copepodite          23.2888889 0.475283447  0.98407919  4.8000000   0 23 0.8234024 2.5817736 0.89388730
## Paracyclops.sp       0.3555556 0.007256236  0.05079365  0.3555556   0  1 0.0000000 0.0000000 0.00000000
## Asc.ecaudis          0.1777778 0.003628118  0.02539683  0.1777778   0  1 0.0000000 0.0000000 0.00000000
## Lep.ovalis           2.3111111 0.047165533  0.13949001  0.5333333   0  6 0.9475232 1.6977336 0.80473373
## Polyarthra.sp        0.1777778 0.003628118  0.02539683  0.1777778   0  1 0.0000000 0.0000000 0.00000000
## Bra.havanaensis      0.1777778 0.003628118  0.02539683  0.1777778   0  1 0.0000000 0.0000000 0.00000000
## Hexarthra.sp         0.1777778 0.003628118  0.02539683  0.1777778   0  1 0.0000000 0.0000000 0.00000000
## Lec.hastata          1.7777778 0.036281179  0.22945157  1.6000000   0  2 0.4689956 0.3250830 0.18000000
## Tri.tetractis        2.3111111 0.047165533  0.24009740  1.6000000   0  3 0.7193329 0.7902680 0.46153846
## Ker.serrulata        0.1777778 0.003628118  0.02539683  0.1777778   0  1 0.0000000 0.0000000 0.00000000
## Notodiaptomus.sp     0.3555556 0.007256236  0.03554044  0.1777778   0  2 1.0000000 0.6931472 0.50000000
## Bra.falcatus        25.7777778 0.526077098  3.43095743 24.0000000   0  3 0.2488360 0.2733743 0.12927467
## Fil.longiseta        0.1777778 0.003628118  0.02539683  0.1777778   0  1 0.0000000 0.0000000 0.00000000
## Myt.crassipes        0.7111111 0.014512472  0.07980829  0.5333333   0  2 0.8112781 0.5623351 0.37500000
## Lep.patella         65.6000000 1.338775510  7.69424793 53.8666667   0  8 0.3758239 0.7815039 0.31925441
## Euchlanis.sp         2.6666667 0.054421769  0.38095238  2.6666667   0  1 0.0000000 0.0000000 0.00000000
## Colurella.sp         7.8222222 0.159637188  1.06620045  7.4666667   0  3 0.1969886 0.2164141 0.08780992
## Mytilina.sp          1.9555556 0.039909297  0.23027000  1.6000000   0  3 0.5462947 0.6001661 0.31404959
## Lec.monostyla        1.7777778 0.036281179  0.13073816  0.5333333   0  4 0.9477309 1.3138340 0.72000000
## Lec.ligona           1.6000000 0.032653061  0.22857143  1.6000000   0  1 0.0000000 0.0000000 0.00000000
## Ascomorpha.sp        0.1777778 0.003628118  0.02539683  0.1777778   0  1 0.0000000 0.0000000 0.00000000
## Pom.sulcata          0.7111111 0.014512472  0.07108087  0.3555556   0  2 1.0000000 0.6931472 0.50000000
## Harpacticoida        0.1777778 0.003628118  0.02539683  0.1777778   0  1 0.0000000 0.0000000 0.00000000
## Epi.senta            0.1777778 0.003628118  0.02539683  0.1777778   0  1 0.0000000 0.0000000 0.00000000
## Rot.neptunia         1.6000000 0.032653061  0.16894139  1.0666667   0  2 0.9182958 0.6365142 0.44444444
## Dis.aculeata         5.8666667 0.119727891  0.46527164  2.6666667   0  4 0.8949645 1.2406843 0.67768595
## Lec.luna             2.6666667 0.054421769  0.38095238  2.6666667   0  1 0.0000000 0.0000000 0.00000000
## Euc.dilatata         1.0666667 0.021768707  0.10662131  0.5333333   0  2 1.0000000 0.6931472 0.50000000
## Bea.eudactylota      0.5333333 0.010884354  0.07619048  0.5333333   0  1 0.0000000 0.0000000 0.00000000
## Chy.sphaericus       3.7333333 0.076190476  0.34426519  2.1333333   0  3 0.8699155 0.9556999 0.57142857
## Lec.hornemanni       3.7333333 0.076190476  0.53333333  3.7333333   0  1 0.0000000 0.0000000 0.00000000
## Dia.birgei           2.1333333 0.043537415  0.23942486  1.6000000   0  2 0.8112781 0.5623351 0.37500000
## Mac.subquadratus     0.5333333 0.010884354  0.07619048  0.5333333   0  1 0.0000000 0.0000000 0.00000000
## Bra.quadridentatus  10.1333333 0.206802721  1.44761905 10.1333333   0  1 0.0000000 0.0000000 0.00000000
## Pol.vulgaris        19.2000000 0.391836735  2.74285714 19.2000000   0  1 0.0000000 0.0000000 0.00000000
## Pol.bicerca         58.1333333 1.186394558  5.83147557 31.4666667   0  2 0.9950765 0.6897345 0.49659120
## Dicranop.sp         68.8000000 1.404081633  9.82857143 68.8000000   0  1 0.0000000 0.0000000 0.00000000
## Asc.saltans          1.0666667 0.021768707  0.15238095  1.0666667   0  1 0.0000000 0.0000000 0.00000000
## Moi.minuta           2.6666667 0.054421769  0.31259768  2.1333333   0  2 0.7219281 0.5004024 0.32000000
## Alo.hamulata         1.0666667 0.021768707  0.10662131  0.5333333   0  2 1.0000000 0.6931472 0.50000000
## Mac.laticornis       2.6666667 0.054421769  0.27205442  1.6000000   0  2 0.9709506 0.6730117 0.48000000
## Mac.mira             2.1333333 0.043537415  0.30476190  2.1333333   0  1 0.0000000 0.0000000 0.00000000
## Pro.similis          0.5333333 0.010884354  0.07619048  0.5333333   0  1 0.0000000 0.0000000 0.00000000
## Alo.pulchella        3.7333333 0.076190476  0.53333333  3.7333333   0  1 0.0000000 0.0000000 0.00000000
## Dia.spinulosum       1.6000000 0.032653061  0.22857143  1.6000000   0  1 0.0000000 0.0000000 0.00000000
## Chydorus.sp          1.0666667 0.021768707  0.15238095  1.0666667   0  1 0.0000000 0.0000000 0.00000000
## Ily.spinifer         3.7333333 0.076190476  0.53333333  3.7333333   0  1 0.0000000 0.0000000 0.00000000
## Dun.odontoplax       0.5333333 0.010884354  0.07619048  0.5333333   0  1 0.0000000 0.0000000 0.00000000
##       Sum      Mean        DP       Max       Min         S         E         H         D 
## 934.22222  19.06576  78.86398 499.91111   0.00000 402.00000  40.85574  59.78162  29.56409 
##        Sum       Mean         DP        Max        Min          S          E          H          D 
## 10.9908497  0.2243031  0.9278115  5.8813072  0.0000000  4.7294118  0.4806558  0.7033132  0.3478128 
##        Sum       Mean         DP        Max        Min          S          E          H          D 
## 31.6800338  0.6465313  2.3220881 14.6991518  0.0000000  7.7265594  0.4178274  0.7474313  0.3230295 
##                   Sum       Mean         DP        Max Min          S          E          H          D
## SomaTotalD  934.22222 19.0657596 78.8639769 499.911111   0 402.000000 40.8557437 59.7816180 29.5640893
## MediaTotalD  10.99085  0.2243031  0.9278115   5.881307   0   4.729412  0.4806558  0.7033132  0.3478128
## DPTotalD     31.68003  0.6465313  2.3220881  14.699152   0   7.726559  0.4178274  0.7474313  0.3230295
##                            Sum         Mean          DP         Max Min          S          E          H           D
## Bra.angularis        1.7777778  0.036281179  0.13073816   0.5333333   0   4.000000  0.9477309  1.3138340  0.72000000
## Lepadella.sp        11.7333333  0.239455782  0.91771842   6.4000000   0  18.000000  0.6587682  1.9040851  0.68595041
## Lecane.sp            0.7111111  0.014512472  0.07980829   0.5333333   0   2.000000  0.8112781  0.5623351  0.37500000
## Lec.leontina         3.9111111  0.079818594  0.28123472   1.6000000   0   6.000000  0.8452452  1.5144760  0.73140496
## Lec.bulla          124.8000000  2.546938776 10.30321459  72.0000000   0  40.000000  0.5436698  2.0055324  0.65243383
## Lec.cornuta          5.6888889  0.116099773  0.39677883   2.6666667   0  12.000000  0.7595266  1.8873527  0.74609375
## Lec.curvicornis      3.3777778  0.068934240  0.32011588   1.6000000   0   3.000000  0.7854070  0.8628578  0.54847645
## Notholca.sp          0.1777778  0.003628118  0.02539683   0.1777778   0   1.000000  0.0000000  0.0000000  0.00000000
## Bra.urceolaris       0.5333333  0.010884354  0.04306241   0.1777778   0   3.000000  1.0000000  1.0986123  0.66666667
## Trichocerca.sp       4.9777778  0.101587302  0.43997755   2.6666667   0   6.000000  0.6558986  1.1752126  0.60459184
## Lec.quadridentata    1.6000000  0.032653061  0.11286596   0.5333333   0   5.000000  0.9101416  1.4648164  0.74074074
## Lec.kluchor          1.2444444  0.025396825  0.09601097   0.5333333   0   4.000000  0.9211855  1.2770343  0.69387755
## Lec.lunaris         10.4888889  0.214058957  0.48139659   2.6666667   0  16.000000  0.8703980  2.4132557  0.87848319
## Rotaria.sp          74.3111111  1.516553288  4.12290234  24.5333333   0  27.000000  0.6846811  2.2565973  0.83183764
## Aspelta.sp           1.9555556  0.039909297  0.14635345   0.7111111   0   5.000000  0.8634575  1.3896812  0.71074380
## Lec.furcata         14.0444444  0.286621315  1.53952216  10.6666667   0   5.000000  0.5167642  0.8316999  0.40282006
## Col.geophila         0.3555556  0.007256236  0.03554044   0.1777778   0   2.000000  1.0000000  0.6931472  0.50000000
## Lep.dactyliseta      6.5777778  0.134240363  0.77366584   5.3333333   0   3.000000  0.5121322  0.5626347  0.31555880
## Bra.calyciflorus     0.1777778  0.003628118  0.02539683   0.1777778   0   1.000000  0.0000000  0.0000000  0.00000000
## Bra.caudatus         0.3555556  0.007256236  0.05079365   0.3555556   0   1.000000  0.0000000  0.0000000  0.00000000
## Lec.crepida          1.6000000  0.032653061  0.11855631   0.5333333   0   4.000000  0.9455306  1.3107837  0.71604938
## Pla.patulus          4.8000000  0.097959184  0.60945767   4.2666667   0   4.000000  0.3396826  0.4709001  0.20576132
## Lec.ovalis           0.5333333  0.010884354  0.04306241   0.1777778   0   3.000000  1.0000000  1.0986123  0.66666667
## Lec.elasma           0.1777778  0.003628118  0.02539683   0.1777778   0   1.000000  0.0000000  0.0000000  0.00000000
## Pla.quadricornis     0.7111111  0.014512472  0.07980829   0.5333333   0   2.000000  0.8112781  0.5623351  0.37500000
## Lec.aculeata         3.9111111  0.079818594  0.27651261   1.6000000   0   6.000000  0.8521093  1.5267750  0.73966942
## Ker.tropica          0.1777778  0.003628118  0.02539683   0.1777778   0   1.000000  0.0000000  0.0000000  0.00000000
## Bdelloidea          60.5333333  1.235374150  2.55779257  13.3333333   0  24.000000  0.8095661  2.5728447  0.89389147
## Ker.lenzi            0.7111111  0.014512472  0.06111970   0.3555556   0   3.000000  0.9463946  1.0397208  0.62500000
## Con.unicornis        1.0666667  0.021768707  0.09345779   0.5333333   0   3.000000  0.9206198  1.0114043  0.61111111
## Alo.dadayi           1.6000000  0.032653061  0.11855631   0.7111111   0   5.000000  0.8866829  1.4270610  0.71604938
## Macrothrix.sp        1.9555556  0.039909297  0.23027000   1.6000000   0   3.000000  0.5462947  0.6001661  0.31404959
## Alonella.sp          4.8000000  0.097959184  0.32873114   1.6000000   0   8.000000  0.7971410  1.6576082  0.75445816
## Nauplii            234.0444444  4.776417234 13.24363377  70.9333333   0  44.000000  0.6050962  2.2897987  0.82589714
## Chy.eurynotus        1.4222222  0.029024943  0.08391207   0.3555556   0   6.000000  0.9671320  1.7328680  0.81250000
## Cyclopoida           7.4666667  0.152380952  0.38404389   1.6000000   0  11.000000  0.8733155  2.0941190  0.85260771
## Mac.collinsi         0.3555556  0.007256236  0.05079365   0.3555556   0   1.000000  0.0000000  0.0000000  0.00000000
## Copepodite          23.2888889  0.475283447  0.98407919   4.8000000   0  23.000000  0.8234024  2.5817736  0.89388730
## Paracyclops.sp       0.3555556  0.007256236  0.05079365   0.3555556   0   1.000000  0.0000000  0.0000000  0.00000000
## Asc.ecaudis          0.1777778  0.003628118  0.02539683   0.1777778   0   1.000000  0.0000000  0.0000000  0.00000000
## Lep.ovalis           2.3111111  0.047165533  0.13949001   0.5333333   0   6.000000  0.9475232  1.6977336  0.80473373
## Polyarthra.sp        0.1777778  0.003628118  0.02539683   0.1777778   0   1.000000  0.0000000  0.0000000  0.00000000
## Bra.havanaensis      0.1777778  0.003628118  0.02539683   0.1777778   0   1.000000  0.0000000  0.0000000  0.00000000
## Hexarthra.sp         0.1777778  0.003628118  0.02539683   0.1777778   0   1.000000  0.0000000  0.0000000  0.00000000
## Lec.hastata          1.7777778  0.036281179  0.22945157   1.6000000   0   2.000000  0.4689956  0.3250830  0.18000000
## Tri.tetractis        2.3111111  0.047165533  0.24009740   1.6000000   0   3.000000  0.7193329  0.7902680  0.46153846
## Ker.serrulata        0.1777778  0.003628118  0.02539683   0.1777778   0   1.000000  0.0000000  0.0000000  0.00000000
## Notodiaptomus.sp     0.3555556  0.007256236  0.03554044   0.1777778   0   2.000000  1.0000000  0.6931472  0.50000000
## Bra.falcatus        25.7777778  0.526077098  3.43095743  24.0000000   0   3.000000  0.2488360  0.2733743  0.12927467
## Fil.longiseta        0.1777778  0.003628118  0.02539683   0.1777778   0   1.000000  0.0000000  0.0000000  0.00000000
## Myt.crassipes        0.7111111  0.014512472  0.07980829   0.5333333   0   2.000000  0.8112781  0.5623351  0.37500000
## Lep.patella         65.6000000  1.338775510  7.69424793  53.8666667   0   8.000000  0.3758239  0.7815039  0.31925441
## Euchlanis.sp         2.6666667  0.054421769  0.38095238   2.6666667   0   1.000000  0.0000000  0.0000000  0.00000000
## Colurella.sp         7.8222222  0.159637188  1.06620045   7.4666667   0   3.000000  0.1969886  0.2164141  0.08780992
## Mytilina.sp          1.9555556  0.039909297  0.23027000   1.6000000   0   3.000000  0.5462947  0.6001661  0.31404959
## Lec.monostyla        1.7777778  0.036281179  0.13073816   0.5333333   0   4.000000  0.9477309  1.3138340  0.72000000
## Lec.ligona           1.6000000  0.032653061  0.22857143   1.6000000   0   1.000000  0.0000000  0.0000000  0.00000000
## Ascomorpha.sp        0.1777778  0.003628118  0.02539683   0.1777778   0   1.000000  0.0000000  0.0000000  0.00000000
## Pom.sulcata          0.7111111  0.014512472  0.07108087   0.3555556   0   2.000000  1.0000000  0.6931472  0.50000000
## Harpacticoida        0.1777778  0.003628118  0.02539683   0.1777778   0   1.000000  0.0000000  0.0000000  0.00000000
## Epi.senta            0.1777778  0.003628118  0.02539683   0.1777778   0   1.000000  0.0000000  0.0000000  0.00000000
## Rot.neptunia         1.6000000  0.032653061  0.16894139   1.0666667   0   2.000000  0.9182958  0.6365142  0.44444444
## Dis.aculeata         5.8666667  0.119727891  0.46527164   2.6666667   0   4.000000  0.8949645  1.2406843  0.67768595
## Lec.luna             2.6666667  0.054421769  0.38095238   2.6666667   0   1.000000  0.0000000  0.0000000  0.00000000
## Euc.dilatata         1.0666667  0.021768707  0.10662131   0.5333333   0   2.000000  1.0000000  0.6931472  0.50000000
## Bea.eudactylota      0.5333333  0.010884354  0.07619048   0.5333333   0   1.000000  0.0000000  0.0000000  0.00000000
## Chy.sphaericus       3.7333333  0.076190476  0.34426519   2.1333333   0   3.000000  0.8699155  0.9556999  0.57142857
## Lec.hornemanni       3.7333333  0.076190476  0.53333333   3.7333333   0   1.000000  0.0000000  0.0000000  0.00000000
## Dia.birgei           2.1333333  0.043537415  0.23942486   1.6000000   0   2.000000  0.8112781  0.5623351  0.37500000
## Mac.subquadratus     0.5333333  0.010884354  0.07619048   0.5333333   0   1.000000  0.0000000  0.0000000  0.00000000
## Bra.quadridentatus  10.1333333  0.206802721  1.44761905  10.1333333   0   1.000000  0.0000000  0.0000000  0.00000000
## Pol.vulgaris        19.2000000  0.391836735  2.74285714  19.2000000   0   1.000000  0.0000000  0.0000000  0.00000000
## Pol.bicerca         58.1333333  1.186394558  5.83147557  31.4666667   0   2.000000  0.9950765  0.6897345  0.49659120
## Dicranop.sp         68.8000000  1.404081633  9.82857143  68.8000000   0   1.000000  0.0000000  0.0000000  0.00000000
## Asc.saltans          1.0666667  0.021768707  0.15238095   1.0666667   0   1.000000  0.0000000  0.0000000  0.00000000
## Moi.minuta           2.6666667  0.054421769  0.31259768   2.1333333   0   2.000000  0.7219281  0.5004024  0.32000000
## Alo.hamulata         1.0666667  0.021768707  0.10662131   0.5333333   0   2.000000  1.0000000  0.6931472  0.50000000
## Mac.laticornis       2.6666667  0.054421769  0.27205442   1.6000000   0   2.000000  0.9709506  0.6730117  0.48000000
## Mac.mira             2.1333333  0.043537415  0.30476190   2.1333333   0   1.000000  0.0000000  0.0000000  0.00000000
## Pro.similis          0.5333333  0.010884354  0.07619048   0.5333333   0   1.000000  0.0000000  0.0000000  0.00000000
## Alo.pulchella        3.7333333  0.076190476  0.53333333   3.7333333   0   1.000000  0.0000000  0.0000000  0.00000000
## Dia.spinulosum       1.6000000  0.032653061  0.22857143   1.6000000   0   1.000000  0.0000000  0.0000000  0.00000000
## Chydorus.sp          1.0666667  0.021768707  0.15238095   1.0666667   0   1.000000  0.0000000  0.0000000  0.00000000
## Ily.spinifer         3.7333333  0.076190476  0.53333333   3.7333333   0   1.000000  0.0000000  0.0000000  0.00000000
## Dun.odontoplax       0.5333333  0.010884354  0.07619048   0.5333333   0   1.000000  0.0000000  0.0000000  0.00000000
## SomaTotalD         934.2222222 19.065759637 78.86397687 499.9111111   0 402.000000 40.8557437 59.7816180 29.56408929
## MediaTotalD         10.9908497  0.224303055  0.92781149   5.8813072   0   4.729412  0.4806558  0.7033132  0.34781282
## DPTotalD            31.6800338  0.646531302  2.32208806  14.6991518   0   7.726559  0.4178274  0.7474313  0.32302953
##                       Sum  Mean    DP    Max Min      S     E     H     D
## Bra.angularis        1.78  0.04  0.13   0.53   0   4.00  0.95  1.31  0.72
## Lepadella.sp        11.73  0.24  0.92   6.40   0  18.00  0.66  1.90  0.69
## Lecane.sp            0.71  0.01  0.08   0.53   0   2.00  0.81  0.56  0.38
## Lec.leontina         3.91  0.08  0.28   1.60   0   6.00  0.85  1.51  0.73
## Lec.bulla          124.80  2.55 10.30  72.00   0  40.00  0.54  2.01  0.65
## Lec.cornuta          5.69  0.12  0.40   2.67   0  12.00  0.76  1.89  0.75
## Lec.curvicornis      3.38  0.07  0.32   1.60   0   3.00  0.79  0.86  0.55
## Notholca.sp          0.18  0.00  0.03   0.18   0   1.00  0.00  0.00  0.00
## Bra.urceolaris       0.53  0.01  0.04   0.18   0   3.00  1.00  1.10  0.67
## Trichocerca.sp       4.98  0.10  0.44   2.67   0   6.00  0.66  1.18  0.60
## Lec.quadridentata    1.60  0.03  0.11   0.53   0   5.00  0.91  1.46  0.74
## Lec.kluchor          1.24  0.03  0.10   0.53   0   4.00  0.92  1.28  0.69
## Lec.lunaris         10.49  0.21  0.48   2.67   0  16.00  0.87  2.41  0.88
## Rotaria.sp          74.31  1.52  4.12  24.53   0  27.00  0.68  2.26  0.83
## Aspelta.sp           1.96  0.04  0.15   0.71   0   5.00  0.86  1.39  0.71
## Lec.furcata         14.04  0.29  1.54  10.67   0   5.00  0.52  0.83  0.40
## Col.geophila         0.36  0.01  0.04   0.18   0   2.00  1.00  0.69  0.50
## Lep.dactyliseta      6.58  0.13  0.77   5.33   0   3.00  0.51  0.56  0.32
## Bra.calyciflorus     0.18  0.00  0.03   0.18   0   1.00  0.00  0.00  0.00
## Bra.caudatus         0.36  0.01  0.05   0.36   0   1.00  0.00  0.00  0.00
## Lec.crepida          1.60  0.03  0.12   0.53   0   4.00  0.95  1.31  0.72
## Pla.patulus          4.80  0.10  0.61   4.27   0   4.00  0.34  0.47  0.21
## Lec.ovalis           0.53  0.01  0.04   0.18   0   3.00  1.00  1.10  0.67
## Lec.elasma           0.18  0.00  0.03   0.18   0   1.00  0.00  0.00  0.00
## Pla.quadricornis     0.71  0.01  0.08   0.53   0   2.00  0.81  0.56  0.38
## Lec.aculeata         3.91  0.08  0.28   1.60   0   6.00  0.85  1.53  0.74
## Ker.tropica          0.18  0.00  0.03   0.18   0   1.00  0.00  0.00  0.00
## Bdelloidea          60.53  1.24  2.56  13.33   0  24.00  0.81  2.57  0.89
## Ker.lenzi            0.71  0.01  0.06   0.36   0   3.00  0.95  1.04  0.62
## Con.unicornis        1.07  0.02  0.09   0.53   0   3.00  0.92  1.01  0.61
## Alo.dadayi           1.60  0.03  0.12   0.71   0   5.00  0.89  1.43  0.72
## Macrothrix.sp        1.96  0.04  0.23   1.60   0   3.00  0.55  0.60  0.31
## Alonella.sp          4.80  0.10  0.33   1.60   0   8.00  0.80  1.66  0.75
## Nauplii            234.04  4.78 13.24  70.93   0  44.00  0.61  2.29  0.83
## Chy.eurynotus        1.42  0.03  0.08   0.36   0   6.00  0.97  1.73  0.81
## Cyclopoida           7.47  0.15  0.38   1.60   0  11.00  0.87  2.09  0.85
## Mac.collinsi         0.36  0.01  0.05   0.36   0   1.00  0.00  0.00  0.00
## Copepodite          23.29  0.48  0.98   4.80   0  23.00  0.82  2.58  0.89
## Paracyclops.sp       0.36  0.01  0.05   0.36   0   1.00  0.00  0.00  0.00
## Asc.ecaudis          0.18  0.00  0.03   0.18   0   1.00  0.00  0.00  0.00
## Lep.ovalis           2.31  0.05  0.14   0.53   0   6.00  0.95  1.70  0.80
## Polyarthra.sp        0.18  0.00  0.03   0.18   0   1.00  0.00  0.00  0.00
## Bra.havanaensis      0.18  0.00  0.03   0.18   0   1.00  0.00  0.00  0.00
## Hexarthra.sp         0.18  0.00  0.03   0.18   0   1.00  0.00  0.00  0.00
## Lec.hastata          1.78  0.04  0.23   1.60   0   2.00  0.47  0.33  0.18
## Tri.tetractis        2.31  0.05  0.24   1.60   0   3.00  0.72  0.79  0.46
## Ker.serrulata        0.18  0.00  0.03   0.18   0   1.00  0.00  0.00  0.00
## Notodiaptomus.sp     0.36  0.01  0.04   0.18   0   2.00  1.00  0.69  0.50
## Bra.falcatus        25.78  0.53  3.43  24.00   0   3.00  0.25  0.27  0.13
## Fil.longiseta        0.18  0.00  0.03   0.18   0   1.00  0.00  0.00  0.00
## Myt.crassipes        0.71  0.01  0.08   0.53   0   2.00  0.81  0.56  0.38
## Lep.patella         65.60  1.34  7.69  53.87   0   8.00  0.38  0.78  0.32
## Euchlanis.sp         2.67  0.05  0.38   2.67   0   1.00  0.00  0.00  0.00
## Colurella.sp         7.82  0.16  1.07   7.47   0   3.00  0.20  0.22  0.09
## Mytilina.sp          1.96  0.04  0.23   1.60   0   3.00  0.55  0.60  0.31
## Lec.monostyla        1.78  0.04  0.13   0.53   0   4.00  0.95  1.31  0.72
## Lec.ligona           1.60  0.03  0.23   1.60   0   1.00  0.00  0.00  0.00
## Ascomorpha.sp        0.18  0.00  0.03   0.18   0   1.00  0.00  0.00  0.00
## Pom.sulcata          0.71  0.01  0.07   0.36   0   2.00  1.00  0.69  0.50
## Harpacticoida        0.18  0.00  0.03   0.18   0   1.00  0.00  0.00  0.00
## Epi.senta            0.18  0.00  0.03   0.18   0   1.00  0.00  0.00  0.00
## Rot.neptunia         1.60  0.03  0.17   1.07   0   2.00  0.92  0.64  0.44
## Dis.aculeata         5.87  0.12  0.47   2.67   0   4.00  0.89  1.24  0.68
## Lec.luna             2.67  0.05  0.38   2.67   0   1.00  0.00  0.00  0.00
## Euc.dilatata         1.07  0.02  0.11   0.53   0   2.00  1.00  0.69  0.50
## Bea.eudactylota      0.53  0.01  0.08   0.53   0   1.00  0.00  0.00  0.00
## Chy.sphaericus       3.73  0.08  0.34   2.13   0   3.00  0.87  0.96  0.57
## Lec.hornemanni       3.73  0.08  0.53   3.73   0   1.00  0.00  0.00  0.00
## Dia.birgei           2.13  0.04  0.24   1.60   0   2.00  0.81  0.56  0.37
## Mac.subquadratus     0.53  0.01  0.08   0.53   0   1.00  0.00  0.00  0.00
## Bra.quadridentatus  10.13  0.21  1.45  10.13   0   1.00  0.00  0.00  0.00
## Pol.vulgaris        19.20  0.39  2.74  19.20   0   1.00  0.00  0.00  0.00
## Pol.bicerca         58.13  1.19  5.83  31.47   0   2.00  1.00  0.69  0.50
## Dicranop.sp         68.80  1.40  9.83  68.80   0   1.00  0.00  0.00  0.00
## Asc.saltans          1.07  0.02  0.15   1.07   0   1.00  0.00  0.00  0.00
## Moi.minuta           2.67  0.05  0.31   2.13   0   2.00  0.72  0.50  0.32
## Alo.hamulata         1.07  0.02  0.11   0.53   0   2.00  1.00  0.69  0.50
## Mac.laticornis       2.67  0.05  0.27   1.60   0   2.00  0.97  0.67  0.48
## Mac.mira             2.13  0.04  0.30   2.13   0   1.00  0.00  0.00  0.00
## Pro.similis          0.53  0.01  0.08   0.53   0   1.00  0.00  0.00  0.00
## Alo.pulchella        3.73  0.08  0.53   3.73   0   1.00  0.00  0.00  0.00
## Dia.spinulosum       1.60  0.03  0.23   1.60   0   1.00  0.00  0.00  0.00
## Chydorus.sp          1.07  0.02  0.15   1.07   0   1.00  0.00  0.00  0.00
## Ily.spinifer         3.73  0.08  0.53   3.73   0   1.00  0.00  0.00  0.00
## Dun.odontoplax       0.53  0.01  0.08   0.53   0   1.00  0.00  0.00  0.00
## SomaTotalD         934.22 19.07 78.86 499.91   0 402.00 40.86 59.78 29.56
## MediaTotalD         10.99  0.22  0.93   5.88   0   4.73  0.48  0.70  0.35
## DPTotalD            31.68  0.65  2.32  14.70   0   7.73  0.42  0.75  0.32

3.8 Descritores da normalidade

Normalidade1 <- cbind(Assimetria, Curtose)
Normalidade1 <- as.data.frame(Normalidade1)
Normalidade1
SomaTotalN <- apply(Normalidade1,2,sum)
SomaTotalN
MediaTotalN <- apply(Normalidade1,2,mean)
MediaTotalN
DPTotalN <- apply(Normalidade1,2,sd)
DPTotalN
Normalidade2<-cbind(SomaTotalN, MediaTotalN, DPTotalN)
Normalidade2<-as.data.frame(Normalidade2)
Normalidade2 <- t(Normalidade2) #"t" transpoe a matriz
Normalidade2
NormalidadeFinal <- rbind(Normalidade1, Normalidade2)
NormalidadeFinal
NormalidadeFinal <- round(NormalidadeFinal, 2)
NormalidadeFinal
##                    Assimetria   Curtose
## Bra.angularis        3.476655 13.364950
## Lepadella.sp         6.363013 43.193400
## Lecane.sp            5.957144 38.356754
## Lec.leontina         4.273584 21.445502
## Lec.bulla            6.461601 43.934851
## Lec.cornuta          5.645693 36.397244
## Lec.curvicornis      4.597181 22.260592
## Notholca.sp          6.783866 47.020833
## Bra.urceolaris       3.660403 14.398551
## Trichocerca.sp       4.991817 27.433083
## Lec.quadridentata    3.786828 16.652473
## Lec.kluchor          4.123459 19.908163
## Lec.lunaris          3.413726 16.091866
## Rotaria.sp           4.149242 21.721303
## Aspelta.sp           4.094856 18.872150
## Lec.furcata          6.461638 43.964610
## Col.geophila         4.641396 22.542553
## Lep.dactyliseta      6.419702 43.417838
## Bra.calyciflorus     6.783866 47.020833
## Bra.caudatus         6.783866 47.020833
## Lec.crepida          3.614935 14.753227
## Pla.patulus          6.732329 46.553383
## Lec.ovalis           3.660403 14.398551
## Lec.elasma           6.783866 47.020833
## Pla.quadricornis     5.957144 38.356754
## Lec.aculeata         4.190788 21.301967
## Ker.tropica          6.783866 47.020833
## Bdelloidea           2.978950 12.576162
## Ker.lenzi            4.446423 22.785803
## Con.unicornis        4.496792 22.720535
## Alo.dadayi           4.466614 24.127985
## Macrothrix.sp        6.549959 44.815176
## Alonella.sp          4.053351 18.620513
## Nauplii              3.797043 17.005265
## Chy.eurynotus        2.912236 10.606273
## Cyclopoida           2.816981 10.016103
## Mac.collinsi         6.783866 47.020833
## Copepodite           2.886668 11.289662
## Paracyclops.sp       6.783866 47.020833
## Asc.ecaudis          6.783866 47.020833
## Lep.ovalis           2.900572  9.967459
## Polyarthra.sp        6.783866 47.020833
## Bra.havanaensis      6.783866 47.020833
## Hexarthra.sp         6.783866 47.020833
## Lec.hastata          6.663554 45.879552
## Tri.tetractis        5.865222 37.571252
## Ker.serrulata        6.783866 47.020833
## Notodiaptomus.sp     4.641396 22.542553
## Bra.falcatus         6.738488 46.601720
## Fil.longiseta        6.783866 47.020833
## Myt.crassipes        5.957144 38.356754
## Lep.patella          6.693569 46.197490
## Euchlanis.sp         6.783866 47.020833
## Colurella.sp         6.772263 46.916558
## Mytilina.sp          6.549959 44.815176
## Lec.monostyla        3.476655 13.364950
## Lec.ligona           6.783866 47.020833
## Ascomorpha.sp        6.783866 47.020833
## Pom.sulcata          4.641396 22.542553
## Harpacticoida        6.783866 47.020833
## Epi.senta            6.783866 47.020833
## Rot.neptunia         5.366983 31.487216
## Dis.aculeata         4.306765 21.658190
## Lec.luna             6.783866 47.020833
## Euc.dilatata         4.641396 22.542553
## Bea.eudactylota      6.783866 47.020833
## Chy.sphaericus       5.031153 28.640000
## Lec.hornemanni       6.783866 47.020833
## Dia.birgei           5.957144 38.356754
## Mac.subquadratus     6.783866 47.020833
## Bra.quadridentatus   6.783866 47.020833
## Pol.vulgaris         6.783866 47.020833
## Pol.bicerca          4.694623 23.214798
## Dicranop.sp          6.783866 47.020833
## Asc.saltans          6.783866 47.020833
## Moi.minuta           6.261844 41.720125
## Alo.hamulata         4.641396 22.542553
## Mac.laticornis       4.935917 26.231706
## Mac.mira             6.783866 47.020833
## Pro.similis          6.783866 47.020833
## Alo.pulchella        6.783866 47.020833
## Dia.spinulosum       6.783866 47.020833
## Chydorus.sp          6.783866 47.020833
## Ily.spinifer         6.783866 47.020833
## Dun.odontoplax       6.783866 47.020833
## Assimetria    Curtose 
##   476.6836  2976.7207 
## Assimetria    Curtose 
##   5.608042  35.020243 
## Assimetria    Curtose 
##   1.345975  13.495948 
##             Assimetria    Curtose
## SomaTotalN  476.683560 2976.72066
## MediaTotalN   5.608042   35.02024
## DPTotalN      1.345975   13.49595
##                    Assimetria     Curtose
## Bra.angularis        3.476655   13.364950
## Lepadella.sp         6.363013   43.193400
## Lecane.sp            5.957144   38.356754
## Lec.leontina         4.273584   21.445502
## Lec.bulla            6.461601   43.934851
## Lec.cornuta          5.645693   36.397244
## Lec.curvicornis      4.597181   22.260592
## Notholca.sp          6.783866   47.020833
## Bra.urceolaris       3.660403   14.398551
## Trichocerca.sp       4.991817   27.433083
## Lec.quadridentata    3.786828   16.652473
## Lec.kluchor          4.123459   19.908163
## Lec.lunaris          3.413726   16.091866
## Rotaria.sp           4.149242   21.721303
## Aspelta.sp           4.094856   18.872150
## Lec.furcata          6.461638   43.964610
## Col.geophila         4.641396   22.542553
## Lep.dactyliseta      6.419702   43.417838
## Bra.calyciflorus     6.783866   47.020833
## Bra.caudatus         6.783866   47.020833
## Lec.crepida          3.614935   14.753227
## Pla.patulus          6.732329   46.553383
## Lec.ovalis           3.660403   14.398551
## Lec.elasma           6.783866   47.020833
## Pla.quadricornis     5.957144   38.356754
## Lec.aculeata         4.190788   21.301967
## Ker.tropica          6.783866   47.020833
## Bdelloidea           2.978950   12.576162
## Ker.lenzi            4.446423   22.785803
## Con.unicornis        4.496792   22.720535
## Alo.dadayi           4.466614   24.127985
## Macrothrix.sp        6.549959   44.815176
## Alonella.sp          4.053351   18.620513
## Nauplii              3.797043   17.005265
## Chy.eurynotus        2.912236   10.606273
## Cyclopoida           2.816981   10.016103
## Mac.collinsi         6.783866   47.020833
## Copepodite           2.886668   11.289662
## Paracyclops.sp       6.783866   47.020833
## Asc.ecaudis          6.783866   47.020833
## Lep.ovalis           2.900572    9.967459
## Polyarthra.sp        6.783866   47.020833
## Bra.havanaensis      6.783866   47.020833
## Hexarthra.sp         6.783866   47.020833
## Lec.hastata          6.663554   45.879552
## Tri.tetractis        5.865222   37.571252
## Ker.serrulata        6.783866   47.020833
## Notodiaptomus.sp     4.641396   22.542553
## Bra.falcatus         6.738488   46.601720
## Fil.longiseta        6.783866   47.020833
## Myt.crassipes        5.957144   38.356754
## Lep.patella          6.693569   46.197490
## Euchlanis.sp         6.783866   47.020833
## Colurella.sp         6.772263   46.916558
## Mytilina.sp          6.549959   44.815176
## Lec.monostyla        3.476655   13.364950
## Lec.ligona           6.783866   47.020833
## Ascomorpha.sp        6.783866   47.020833
## Pom.sulcata          4.641396   22.542553
## Harpacticoida        6.783866   47.020833
## Epi.senta            6.783866   47.020833
## Rot.neptunia         5.366983   31.487216
## Dis.aculeata         4.306765   21.658190
## Lec.luna             6.783866   47.020833
## Euc.dilatata         4.641396   22.542553
## Bea.eudactylota      6.783866   47.020833
## Chy.sphaericus       5.031153   28.640000
## Lec.hornemanni       6.783866   47.020833
## Dia.birgei           5.957144   38.356754
## Mac.subquadratus     6.783866   47.020833
## Bra.quadridentatus   6.783866   47.020833
## Pol.vulgaris         6.783866   47.020833
## Pol.bicerca          4.694623   23.214798
## Dicranop.sp          6.783866   47.020833
## Asc.saltans          6.783866   47.020833
## Moi.minuta           6.261844   41.720125
## Alo.hamulata         4.641396   22.542553
## Mac.laticornis       4.935917   26.231706
## Mac.mira             6.783866   47.020833
## Pro.similis          6.783866   47.020833
## Alo.pulchella        6.783866   47.020833
## Dia.spinulosum       6.783866   47.020833
## Chydorus.sp          6.783866   47.020833
## Ily.spinifer         6.783866   47.020833
## Dun.odontoplax       6.783866   47.020833
## SomaTotalN         476.683560 2976.720655
## MediaTotalN          5.608042   35.020243
## DPTotalN             1.345975   13.495948
##                    Assimetria Curtose
## Bra.angularis            3.48   13.36
## Lepadella.sp             6.36   43.19
## Lecane.sp                5.96   38.36
## Lec.leontina             4.27   21.45
## Lec.bulla                6.46   43.93
## Lec.cornuta              5.65   36.40
## Lec.curvicornis          4.60   22.26
## Notholca.sp              6.78   47.02
## Bra.urceolaris           3.66   14.40
## Trichocerca.sp           4.99   27.43
## Lec.quadridentata        3.79   16.65
## Lec.kluchor              4.12   19.91
## Lec.lunaris              3.41   16.09
## Rotaria.sp               4.15   21.72
## Aspelta.sp               4.09   18.87
## Lec.furcata              6.46   43.96
## Col.geophila             4.64   22.54
## Lep.dactyliseta          6.42   43.42
## Bra.calyciflorus         6.78   47.02
## Bra.caudatus             6.78   47.02
## Lec.crepida              3.61   14.75
## Pla.patulus              6.73   46.55
## Lec.ovalis               3.66   14.40
## Lec.elasma               6.78   47.02
## Pla.quadricornis         5.96   38.36
## Lec.aculeata             4.19   21.30
## Ker.tropica              6.78   47.02
## Bdelloidea               2.98   12.58
## Ker.lenzi                4.45   22.79
## Con.unicornis            4.50   22.72
## Alo.dadayi               4.47   24.13
## Macrothrix.sp            6.55   44.82
## Alonella.sp              4.05   18.62
## Nauplii                  3.80   17.01
## Chy.eurynotus            2.91   10.61
## Cyclopoida               2.82   10.02
## Mac.collinsi             6.78   47.02
## Copepodite               2.89   11.29
## Paracyclops.sp           6.78   47.02
## Asc.ecaudis              6.78   47.02
## Lep.ovalis               2.90    9.97
## Polyarthra.sp            6.78   47.02
## Bra.havanaensis          6.78   47.02
## Hexarthra.sp             6.78   47.02
## Lec.hastata              6.66   45.88
## Tri.tetractis            5.87   37.57
## Ker.serrulata            6.78   47.02
## Notodiaptomus.sp         4.64   22.54
## Bra.falcatus             6.74   46.60
## Fil.longiseta            6.78   47.02
## Myt.crassipes            5.96   38.36
## Lep.patella              6.69   46.20
## Euchlanis.sp             6.78   47.02
## Colurella.sp             6.77   46.92
## Mytilina.sp              6.55   44.82
## Lec.monostyla            3.48   13.36
## Lec.ligona               6.78   47.02
## Ascomorpha.sp            6.78   47.02
## Pom.sulcata              4.64   22.54
## Harpacticoida            6.78   47.02
## Epi.senta                6.78   47.02
## Rot.neptunia             5.37   31.49
## Dis.aculeata             4.31   21.66
## Lec.luna                 6.78   47.02
## Euc.dilatata             4.64   22.54
## Bea.eudactylota          6.78   47.02
## Chy.sphaericus           5.03   28.64
## Lec.hornemanni           6.78   47.02
## Dia.birgei               5.96   38.36
## Mac.subquadratus         6.78   47.02
## Bra.quadridentatus       6.78   47.02
## Pol.vulgaris             6.78   47.02
## Pol.bicerca              4.69   23.21
## Dicranop.sp              6.78   47.02
## Asc.saltans              6.78   47.02
## Moi.minuta               6.26   41.72
## Alo.hamulata             4.64   22.54
## Mac.laticornis           4.94   26.23
## Mac.mira                 6.78   47.02
## Pro.similis              6.78   47.02
## Alo.pulchella            6.78   47.02
## Dia.spinulosum           6.78   47.02
## Chydorus.sp              6.78   47.02
## Ily.spinifer             6.78   47.02
## Dun.odontoplax           6.78   47.02
## SomaTotalN             476.68 2976.72
## MediaTotalN              5.61   35.02
## DPTotalN                 1.35   13.50

A função fix(nome da matriz) dá acesso ao grid da matriz criada para manipulação dos dados numéricos.

3.8.1 Salvando as tabelas criadas em txt direto no diretório de trabalho

write.table(data.frame("Spp"=rownames(DescritoresFinal),
                       DescritoresFinal),
            "Descritores.csv",
            row.names=FALSE,
            sep="\t")
write.table(data.frame("Spp"=rownames(NormalidadeFinal),
                       NormalidadeFinal),
            "Normalidade.txt",
            row.names=FALSE,
            sep="\t")

Agora é necessário voltar à matriz comunitária (antes de ter sido transposta) antes de continuar a análise. As análises anteriores também precisam ser refeitas com a matriz bruta (não transposta). A seguir confere-se se está sendo usada a matriz comunitária com as espécies nas colunas.

m_trab
##                      BB1-P01   BB1-P02   BB1-P03   BB2-P01   BB2-P02   BB2-P03   BB3-P01   BB3-P02   BB3-P03   BB4-P01
## Bra.angularis      0.0000000 0.5333333 0.5333333 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lepadella.sp       0.0000000 0.1777778 0.1777778 0.5333333 0.1777778 0.1777778 0.0000000 0.0000000 0.0000000 0.0000000
## Lecane.sp          0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.0000000 0.0000000
## Lec.leontina       0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.bulla          1.0666667 0.0000000 0.3555556 0.8888889 0.1777778 0.0000000 0.5333333 1.6000000 1.4222222 1.4222222
## Lec.cornuta        0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.1777778 0.0000000
## Lec.curvicornis    0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778
## Notholca.sp        0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Bra.urceolaris     0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Trichocerca.sp     0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.quadridentata  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.kluchor        0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.lunaris        0.3555556 0.7111111 1.0666667 0.0000000 0.1777778 0.1777778 0.0000000 0.0000000 0.0000000 0.0000000
## Rotaria.sp         0.0000000 1.0666667 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Aspelta.sp         0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.furcata        0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Col.geophila       0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lep.dactyliseta    0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Bra.calyciflorus   0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Bra.caudatus       0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##                      BB4-P02   BB4-P03   BB5-P01   BB5-P02   BB5-P03   BB6-P01   BB6-P02   BB6-P03   CA1-P04   CA1-P05
## Bra.angularis      0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.0000000
## Lepadella.sp       0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.0000000 0.1777778 0.3555556 0.7111111 0.7111111
## Lecane.sp          0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.leontina       0.0000000 0.0000000 0.0000000 0.3555556 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.bulla          0.3555556 1.0666667 2.1333333 0.7111111 0.5333333 0.8888889 0.5333333 0.3555556 0.8888889 1.2444444
## Lec.cornuta        0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.curvicornis    0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Notholca.sp        0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Bra.urceolaris     0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.0000000
## Trichocerca.sp     0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.1777778
## Lec.quadridentata  0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.5333333 0.0000000
## Lec.kluchor        0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.3555556 0.1777778
## Lec.lunaris        0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.3555556 0.1777778
## Rotaria.sp         0.3555556 0.1777778 0.0000000 0.1777778 0.1777778 0.1777778 0.7111111 0.1777778 0.3555556 0.0000000
## Aspelta.sp         0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.0000000
## Lec.furcata        0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.0000000
## Col.geophila       0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778
## Lep.dactyliseta    0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.0666667
## Bra.calyciflorus   0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778
## Bra.caudatus       0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.3555556
##                      CA1-P06   CA2-P04   CA2-P05   CA2-P06   CA3-P04   CA3-P05   CA3-P06   CA4-P04   CA4-P05   CA4-P06
## Bra.angularis      0.0000000 0.5333333 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lepadella.sp       0.0000000 0.1777778 0.3555556 0.5333333 0.3555556 0.1777778 0.1777778 0.0000000 0.0000000 0.0000000
## Lecane.sp          0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.5333333 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.leontina       0.0000000 0.0000000 0.0000000 0.3555556 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.bulla          0.5333333 0.5333333 0.7111111 1.6000000 1.6000000 1.7777778 0.7111111 0.5333333 0.1777778 0.0000000
## Lec.cornuta        0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.1777778 0.0000000 0.1777778 0.0000000
## Lec.curvicornis    0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Notholca.sp        0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Bra.urceolaris     0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Trichocerca.sp     0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.0000000 0.1777778 0.0000000 0.0000000
## Lec.quadridentata  0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.kluchor        0.5333333 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.lunaris        0.7111111 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Rotaria.sp         0.8888889 0.0000000 0.5333333 0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Aspelta.sp         0.0000000 0.0000000 0.1777778 0.7111111 0.7111111 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lec.furcata        0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Col.geophila       0.0000000 0.0000000 0.0000000 0.0000000 0.1777778 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Lep.dactyliseta    0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Bra.calyciflorus   0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## Bra.caudatus       0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##                      CA5-P04   CA5-P05   CA5-P06    CA6-P04   CA6-P05   CA6-P06      EN08      EN09      EN10       EN11
## Bra.angularis      0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Lepadella.sp       0.0000000 0.1777778 0.0000000  6.4000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Lecane.sp          0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Lec.leontina       0.0000000 0.3555556 0.1777778  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.0666667  0.0000000
## Lec.bulla          0.7111111 0.1777778 0.3555556  4.2666667 2.1333333 0.0000000 0.0000000 2.1333333 1.0666667 72.0000000
## Lec.cornuta        0.1777778 0.1777778 0.0000000  0.0000000 0.0000000 0.0000000 0.5333333 0.0000000 0.0000000  0.0000000
## Lec.curvicornis    0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.6000000  1.6000000
## Notholca.sp        0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Bra.urceolaris     0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Trichocerca.sp     0.0000000 0.0000000 0.0000000  2.6666667 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Lec.quadridentata  0.0000000 0.1777778 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Lec.kluchor        0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Lec.lunaris        0.0000000 0.0000000 0.0000000  0.5333333 0.0000000 0.1777778 0.5333333 0.0000000 0.5333333  0.0000000
## Rotaria.sp         0.3555556 0.0000000 0.1777778  2.6666667 0.5333333 0.0000000 1.0666667 0.5333333 1.0666667  0.5333333
## Aspelta.sp         0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Lec.furcata        0.0000000 0.0000000 0.0000000  1.0666667 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 10.6666667
## Col.geophila       0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Lep.dactyliseta    0.0000000 0.0000000 0.0000000  5.3333333 0.0000000 0.1777778 0.0000000 0.0000000 0.0000000  0.0000000
## Bra.calyciflorus   0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
## Bra.caudatus       0.0000000 0.0000000 0.0000000  0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000  0.0000000
##                          EN12      EN13       EN15       EN16      EN14       EN17      RE19     RE18       RE07
## Bra.angularis       0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Lepadella.sp        0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Lecane.sp           0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Lec.leontina        0.0000000 0.0000000  1.6000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Lec.bulla           0.5333333 1.0666667 12.8000000  0.0000000 0.0000000  0.0000000 1.0666667 2.133333  0.0000000
## Lec.cornuta         0.5333333 0.0000000  2.6666667  0.5333333 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Lec.curvicornis     0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Notholca.sp         0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Bra.urceolaris      0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Trichocerca.sp      0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  1.6000000
## Lec.quadridentata   0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.5333333
## Lec.kluchor         0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Lec.lunaris         0.0000000 0.0000000  0.0000000  1.6000000 0.5333333  0.0000000 0.0000000 0.000000  2.6666667
## Rotaria.sp          0.0000000 0.0000000  2.6666667 10.1333333 9.0666667 10.1333333 2.1333333 3.733333 24.5333333
## Aspelta.sp          0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Lec.furcata         0.0000000 0.0000000  1.6000000  0.0000000 0.0000000  0.0000000 0.5333333 0.000000  0.0000000
## Col.geophila        0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Lep.dactyliseta     0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Bra.calyciflorus    0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
## Bra.caudatus        0.0000000 0.0000000  0.0000000  0.0000000 0.0000000  0.0000000 0.0000000 0.000000  0.0000000
##  [ reached getOption("max.print") -- omitted 65 rows ]
m_trab <- m_bruta

3.9 Gráficos descritivos

3.9.1 Série de Hill e pefil da diversidade

Pode-se utilizar uma série de Hill ao invés dos índices específicos de diversidade. Assim, quanto maior o valor de q (definido em scales), maior será o peso para a equabilidade. Quanto mais próximo de zero, maior o peso para riqueza. Quando q = 0, o valor de Hill é igual a riqueza de espécies.

Hill <- renyi(m_trab,
              scales = c(0:5),
              hill = TRUE)
Hill
##          0         1        2        3        4        5
## BB1-P01 10  6.993228 5.369863 4.616559 4.224982 3.989802
## BB1-P02  6  5.425658 5.142857 4.977368 4.863511 4.776764
## BB1-P03  6  4.649327 3.769231 3.286815 3.019087 2.858625
## BB2-P01  6  5.008145 4.446154 4.137447 3.956045 3.840456
## BB2-P02  5  4.166436 3.521739 3.117691 2.878806 2.732619
## BB2-P03  4  3.789291 3.571429 3.370999 3.204120 3.073941
## BB3-P01  4  3.464102 3.000000 2.683282 2.489480 2.371130
## BB3-P02  7  4.875670 3.574257 2.974949 2.692430 2.541384
## BB3-P03  5  3.917181 3.247191 2.878366 2.670599 2.544773
## BB4-P01  5  3.271768 2.724528 2.465629 2.314415 2.219427
## BB4-P02  6  4.340807 3.266667 2.753200 2.507716 2.376050
## BB4-P03  4  3.061696 2.682540 2.530859 2.458091 2.415698
## BB5-P01  4  2.861364 2.337900 2.103454 1.982793 1.912301
## BB5-P02 12  6.663205 4.238390 3.393326 3.033681 2.845689
## BB5-P03  6  4.649327 3.769231 3.286815 3.019087 2.858625
## BB6-P01  6  2.318844 1.628406 1.467689 1.408026 1.378355
## BB6-P02  8  3.744164 2.369439 1.996998 1.856265 1.786608
## BB6-P03  7  3.632068 2.484472 2.122083 1.971082 1.892683
## CA1-P04 13  9.549730 7.163743 5.849605 5.143030 4.734564
## CA1-P05 15  6.749183 3.753906 2.935254 2.628108 2.477269
## CA1-P06 10  7.911397 6.760000 6.154617 5.798450 5.561875
## CA2-P04 13  6.928135 4.061281 3.139865 2.788817 2.618190
## CA2-P05 17  9.402285 5.141328 3.791271 3.298925 3.064739
## CA2-P06 16  7.639079 4.448399 3.517988 3.142456 2.946765
## CA3-P04  8  5.895652 4.839506 4.324172 4.040513 3.864580
## CA3-P05  9  5.920820 4.595745 4.046051 3.777578 3.624548
## CA3-P06 10  7.491776 5.730159 4.821913 4.357572 4.091111
## CA4-P04  4  3.369922 3.000000 2.799770 2.684871 2.611787
## CA4-P05  5  3.190527 2.327273 2.005885 1.869255 1.799195
## CA4-P06  2  2.000000 2.000000 2.000000 2.000000 2.000000
## CA5-P04  5  4.559014 4.235294 4.000000 3.826847 3.697009
## CA5-P05  9  6.399822 4.741935 3.938599 3.538647 3.313975
## CA5-P06  7  4.293598 2.892857 2.391160 2.186971 2.084572
## CA6-P04 18 11.394566 8.347826 6.932216 6.194479 5.761539
## CA6-P05  8  3.648667 2.442462 2.084490 1.937335 1.861519
## CA6-P06  6  5.298702 4.571429 4.000000 3.624826 3.390389
## EN08     6  5.656854 5.333333 5.059644 4.845655 4.685277
## EN09     7  5.743998 4.800000 4.242641 3.928556 3.739855
## EN10    10  8.402666 7.078431 6.155894 5.558073 5.168814
## EN11    10  3.354695 2.616329 2.437927 2.357712 2.308763
## EN12    16  6.530448 5.021704 4.412047 4.052348 3.818622
## EN13     7  6.335826 5.761905 5.321574 5.001823 4.770356
## EN15    19  4.783592 2.387139 1.977841 1.837953 1.769859
## EN16     9  4.092259 2.973698 2.620632 2.451970 2.352227
## EN14     9  5.680780 4.476821 3.998635 3.762505 3.625985
## EN17     5  3.040662 2.250000 1.961161 1.835225 1.769337
## RE19     8  6.915809 6.081081 5.514110 5.139080 4.883641
## RE18     4  3.736031 3.481928 3.264547 3.094332 2.967205
## RE07     6  3.236803 2.295993 1.980658 1.848619 1.780782

Podemos mapear isso em um gráfico de perfil de diversidade.

library(ggplot2)
library(tidyr)
library(tidyverse)
grafico1 <- Hill %>%  
  rownames_to_column() %>% 
  pivot_longer(-rowname) %>% 
  mutate(name = factor(name, name[1:length(Hill)])) %>% 
  ggplot(aes(x = name, y = value, group = rowname,
             col = rowname)) +
  geom_point(size = 2) +
  geom_line(size = 1) +
  xlab("Parâmetro de ordem de diversidade (q)") +
  ylab("Diversidade") +
  labs(col = "Locais") +
  theme_bw() +
  theme(text = element_text(size = 5)) #ajustar a fonte caso nao caiba no output html 
grafico1
Mapeamento dos pontos de coleta em um gráfico de perfil de diversidade.

Figure 3.1: Mapeamento dos pontos de coleta em um gráfico de perfil de diversidade.

ggsave(grafico1, dpi = 300, filename = "fig-hill.png")
## Saving 7 x 5 in image

3.10 Distribuição de abundância

Uma maneira de observar a diversidade de espécies é usando um gráfico de distribuição de abundâncias de uma comunidade, como mostrado a seguir. Note que aqui utiliza-se as abundâncias totais das espécies, mas é possível fazer por linha, basta substituir o objeto abund pela abundância de uma linha. Como na linha marcada com o #.

abund <- colSums(m_trab)

Na primeira linha do código abaixo, retira-se o # do início da linha para rodar a distribuição de abundância apenas para o local (linha) 1 comunidade[1,]. Pode-se mudar o número para o local de interesse.

#abund <- m_trab[1, ] 
df <- data.frame(sp = colnames(m_trab), 
                 abun = abund) 
grafico2 <- ggplot(df, aes(fct_reorder(sp, -abun),
                           abun, group = 1)) +
  geom_col() +
  geom_line(col = "red", linetype = "dashed") + 
  geom_point(col = "red") +
  xlab("Espécies") +
  ylab("Abundância") +
  theme_bw() +
  theme(axis.text.x = element_text(
    angle = 45,
    hjust = 1,
    face = "italic"))
grafico2
Distribuição da densidade de indivíduos.

Figure 3.2: Distribuição da densidade de indivíduos.

ggsave(grafico2, dpi = 300, filename = "fig-abun.png")
## Saving 7 x 5 in image

3.11 Curva de rarefação

O código abaixo indica como usar o pacote iNEXT para extrapolar e interpolar curvas de rarefação visando comparar a riqueza de diferentes locais. A curva de raferação vai ser construida para os pontos demarcados em rarefa <- t(m_trab[c("BB1-P1","BB1-P2","BB1-P3"),]).

m_trab_r <- mutate(m_trab, across(everything(), ceiling)) #arredonda a matriz BRUTA para números inteiros
colnames(t(m_trab_r))
##  [1] "BB1-P01" "BB1-P02" "BB1-P03" "BB2-P01" "BB2-P02" "BB2-P03" "BB3-P01" "BB3-P02" "BB3-P03" "BB4-P01" "BB4-P02"
## [12] "BB4-P03" "BB5-P01" "BB5-P02" "BB5-P03" "BB6-P01" "BB6-P02" "BB6-P03" "CA1-P04" "CA1-P05" "CA1-P06" "CA2-P04"
## [23] "CA2-P05" "CA2-P06" "CA3-P04" "CA3-P05" "CA3-P06" "CA4-P04" "CA4-P05" "CA4-P06" "CA5-P04" "CA5-P05" "CA5-P06"
## [34] "CA6-P04" "CA6-P05" "CA6-P06" "EN08"    "EN09"    "EN10"    "EN11"    "EN12"    "EN13"    "EN15"    "EN16"   
## [45] "EN14"    "EN17"    "RE19"    "RE18"    "RE07"
rarefa <- t(m_trab_r[c("BB1-P01", "BB1-P02", "BB1-P03"),]) #curva de rarefação para os sítios especificados
class(m_trab)
## [1] "data.frame"
#rarefa <- t(m_trab_r) #curva de rarefação para todos os sítios

No código abaixo o valor de q pode ser mudado para q=1 para comparar a diversidade de Shannon e para q=2 para Simpson.

library(iNEXT)
out <- iNEXT(rarefa, q = 0,
             datatype = "abundance",
             size = NULL,
             endpoint = 1500, #define o comprimento de eixo x
             knots = 40,
             se = TRUE,
             conf = 0.95,
             nboot = 50)
grafico3 <- ggiNEXT(out, type = 1, facet.var="None") +
  theme_bw() +
  labs(fill = "Áreas") +
  xlab("Número de indivíduos") + 
  ylab("Riqueza de espécies") +
  theme(legend.title=element_blank()) #ver como fica com facet.var="Assemblage"
grafico3
Curva de rafefação para sítios específicos.

Figure 3.3: Curva de rafefação para sítios específicos.

ggsave(grafico3, dpi = 300, filename = "fig-rare1.png")
## Saving 7 x 5 in image
## Análise de similaridades
system(paste("open", shQuote("D:/Elvio/OneDrive/MSS/_Zoo-Rebio/R_ZooRebio/mdists.qmd")))

Apêndices

Sites consultados

Script limpo

Aqui apresento o scrip na íntegra sem os textos ou outros comentários. Você pode copiar e colar no R para executa-lo. Lembre de remover os # ou ## caso necessite executar essas linhas.

Referências

References

Dixon, Philip. 2003. “VEGAN, a Package of r Functions for Community Ecology.” Journal Article. Journal of Vegetation Science 14: 927–30. https://doi.org/10.1111/j.1654-1103.2003.tb02228.x.
Hurlbert, Stuart H. 1971. “The Nonconcept of Species Diversity: A Critique and Alternative Parameters.” Journal Article. Ecology 52 (4): 577–86. https://doi.org/10.2307/1934145.
Oksanen, J., F. G. Blanchet, M. Friendly, R. Kindt, P. Legendre, D. McGlinn, P. R. Minchin, et al. 2017. “Vegan: Community Ecology Package. R Package Version 2.5-7.” Journal Article. Https://Cran.r-Project.org/Web/Packages/Vegan/Vegan.pdf.
Pielou, E. C. 1975. Ecological Diversity. Book. New York, NY: John Wiley & Sons.