Creditos: diegokjkjj

Packeges exigidos

library(factoextra)
## Warning: package 'factoextra' was built under R version 4.1.2
## Carregando pacotes exigidos: ggplot2
## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa
library(permute)
library(lattice)
library(vegan)
## This is vegan 2.5-7

buscando o diretório e os dados.

setwd("G:/Meu Drive/UFPE/2021.1/Ecologia Numérica")
load("G:/Meu Drive/UFPE/2021.1/Ecologia Numérica/NEwR-2ed_code_data (2)/NEwR-2ed_code_data/NEwR2-Data/Doubs.RData")

CCA da base spe

ENV<-env[,-1]

Com isso, é possivel remover a variável dfs, que é espacial, mas não ambiental.

SPE.CCA<-cca(spe[-8,],ENV[-8,])
SPE.CCA
## Call: cca(X = spe[-8, ], Y = ENV[-8, ])
## 
##               Inertia Proportion Rank
## Total          1.1669     1.0000     
## Constrained    0.8119     0.6957   10
## Unconstrained  0.3550     0.3043   18
## Inertia is scaled Chi-square 
## 
## Eigenvalues for constrained axes:
##   CCA1   CCA2   CCA3   CCA4   CCA5   CCA6   CCA7   CCA8   CCA9  CCA10 
## 0.5238 0.1174 0.0647 0.0435 0.0277 0.0130 0.0103 0.0064 0.0033 0.0017 
## 
## Eigenvalues for unconstrained axes:
##     CA1     CA2     CA3     CA4     CA5     CA6     CA7     CA8 
## 0.11112 0.06492 0.05298 0.03283 0.02666 0.01846 0.00978 0.00892 
## (Showing 8 of 18 unconstrained eigenvalues)
summary(SPE.CCA)
## 
## Call:
## cca(X = spe[-8, ], Y = ENV[-8, ]) 
## 
## Partitioning of scaled Chi-square:
##               Inertia Proportion
## Total          1.1669     1.0000
## Constrained    0.8119     0.6957
## Unconstrained  0.3550     0.3043
## 
## Eigenvalues, and their contribution to the scaled Chi-square 
## 
## Importance of components:
##                         CCA1   CCA2    CCA3    CCA4    CCA5    CCA6     CCA7
## Eigenvalue            0.5238 0.1174 0.06467 0.04353 0.02766 0.01304 0.010291
## Proportion Explained  0.4489 0.1006 0.05542 0.03730 0.02370 0.01118 0.008819
## Cumulative Proportion 0.4489 0.5495 0.60489 0.64219 0.66590 0.67708 0.685894
##                           CCA8     CCA9    CCA10     CA1     CA2     CA3
## Eigenvalue            0.006444 0.003301 0.001739 0.11112 0.06492 0.05298
## Proportion Explained  0.005523 0.002828 0.001491 0.09522 0.05563 0.04541
## Cumulative Proportion 0.691417 0.694245 0.695736 0.79096 0.84659 0.89200
##                           CA4     CA5     CA6      CA7      CA8      CA9
## Eigenvalue            0.03283 0.02666 0.01846 0.009778 0.008924 0.007580
## Proportion Explained  0.02813 0.02284 0.01582 0.008379 0.007648 0.006496
## Cumulative Proportion 0.92013 0.94297 0.95880 0.967177 0.974824 0.981321
##                           CA10     CA11     CA12     CA13     CA14     CA15
## Eigenvalue            0.006050 0.004378 0.003488 0.003046 0.002280 0.001718
## Proportion Explained  0.005184 0.003752 0.002989 0.002610 0.001954 0.001472
## Cumulative Proportion 0.986505 0.990257 0.993246 0.995856 0.997810 0.999282
##                            CA16      CA17      CA18
## Eigenvalue            0.0004838 0.0003296 2.431e-05
## Proportion Explained  0.0004146 0.0002824 2.084e-05
## Cumulative Proportion 0.9996967 0.9999792 1.000e+00
## 
## Accumulated constrained eigenvalues
## Importance of components:
##                         CCA1   CCA2    CCA3    CCA4    CCA5    CCA6    CCA7
## Eigenvalue            0.5238 0.1174 0.06467 0.04353 0.02766 0.01304 0.01029
## Proportion Explained  0.6452 0.1446 0.07966 0.05362 0.03407 0.01606 0.01268
## Cumulative Proportion 0.6452 0.7898 0.86943 0.92304 0.95712 0.97318 0.98585
##                           CCA8     CCA9    CCA10
## Eigenvalue            0.006444 0.003301 0.001739
## Proportion Explained  0.007938 0.004065 0.002143
## Cumulative Proportion 0.993792 0.997857 1.000000
## 
## Scaling 2 for species and site scores
## * Species are scaled proportional to eigenvalues
## * Sites are unscaled: weighted dispersion equal on all dimensions
## 
## 
## Species scores
## 
##          CCA1      CCA2     CCA3      CCA4     CCA5      CCA6
## Cogo  1.22828  1.342555 -0.10906 -0.100159  0.18534 -0.074317
## Satr  1.52022 -0.421716  0.32612 -0.478415 -0.13070 -0.152732
## Phph  1.20045 -0.161518 -0.02017  0.142390  0.01173  0.175138
## Babl  0.97743 -0.255475 -0.05499  0.221357 -0.02155  0.075746
## Thth  1.29443  1.453249 -0.05728 -0.279764  0.33355  0.254947
## Teso  0.85559  1.127382 -0.06573  0.084079  0.08054 -0.245575
## Chna -0.46100  0.183183 -0.06858  0.060764 -0.35952 -0.046001
## Pato -0.14056  0.342522  0.05341  0.360135 -0.47087 -0.060211
## Lele  0.09107 -0.053870 -0.19916  0.110481  0.05680 -0.179387
## Sqce  0.01177 -0.117150 -0.36500  0.059876  0.19580 -0.149331
## Baba -0.31689  0.259956  0.14240  0.117877 -0.24005 -0.063566
## Albi -0.32755  0.229336  0.23308  0.157160 -0.22305  0.179066
## Gogo -0.26665  0.018880 -0.11623 -0.061712 -0.12414  0.002118
## Eslu -0.18252 -0.277660 -0.03434  0.037586  0.14606  0.137742
## Pefl -0.12659 -0.176025  0.03020  0.252790  0.12590  0.023888
## Rham -0.57446  0.084305  0.32200  0.053609 -0.08985  0.057710
## Legi -0.62007  0.065743  0.18508  0.005399 -0.02495  0.013164
## Scer -0.52162 -0.148838 -0.01142 -0.153528  0.19238  0.076606
## Cyca -0.58647  0.108430  0.36280  0.023499  0.08189 -0.068617
## Titi -0.29270 -0.189259  0.04018  0.161322  0.04980 -0.067383
## Abbr -0.70893  0.019004  0.36327 -0.067807  0.09745 -0.036085
## Icme -0.79079 -0.011847  0.59621 -0.187170  0.44436  0.105730
## Gyce -0.76105 -0.041287 -0.01602 -0.210332  0.04596  0.003539
## Ruru -0.35856 -0.190255 -0.33418  0.087879  0.09814 -0.064540
## Blbj -0.74241  0.004951  0.25289 -0.085053  0.07711 -0.086048
## Alal -0.64710  0.040949 -0.51840 -0.445714 -0.18001  0.136457
## Anan -0.65036  0.038946  0.37834 -0.017452  0.06610  0.067195
## 
## 
## Site scores (weighted averages of species scores)
## 
##        CCA1     CCA2     CCA3      CCA4    CCA5      CCA6
## 1   2.90231 -3.59248  5.04291 -10.99019 -4.7248 -11.71188
## 2   2.43975 -2.49959  1.78469  -2.21766 -2.0220   1.04881
## 3   2.18453 -2.38056  1.17956  -0.76922 -1.2574   3.01218
## 4   1.43681 -2.01477  0.35299   0.70591  0.1610   2.74653
## 5   0.20167 -1.48734 -1.39453   1.51318  2.4144  -1.22925
## 6   1.16771 -1.81747 -0.50115   1.21480  0.5871   0.39246
## 7   2.07534 -2.23779  0.68700  -0.78303 -1.0432  -0.06277
## 9   0.33610 -1.49928 -3.65227   2.65603  3.5337  -3.66883
## 10  1.38696 -1.46817 -1.34646   2.06022  0.5451   1.07074
## 11  2.23445  0.39648  0.43772  -2.01398  1.1436   2.43572
## 12  2.26655  0.80356  0.54321  -2.08926  1.0862   1.92474
## 13  2.37228  2.63296  0.73116  -2.54974  1.7019   1.56827
## 14  1.92196  2.78951  0.10116  -1.48364  1.8443   1.10118
## 15  1.40666  1.98480 -0.63527   0.01651  1.1403  -3.26118
## 16  0.76550  1.33943 -0.34052   1.87765 -1.2416  -4.47936
## 17  0.32806  0.88913 -0.09699   1.67765 -2.2357   0.21434
## 18  0.07578  0.72095 -0.25536   1.48245 -1.6099   0.49089
## 19 -0.18799  0.02658 -0.62065   1.35897 -2.0108   0.52679
## 20 -0.59914 -0.07126 -0.46679   0.47383 -1.3946   0.31426
## 21 -0.71162 -0.09092  0.07444   0.12993 -0.6527   0.21050
## 22 -0.76850 -0.07165  0.21576   0.06105 -0.1062  -0.86912
## 23 -0.78322 -0.48026 -6.71095  -4.27093 -0.5972   1.13190
## 24 -0.95982 -0.12488 -3.88562  -3.72811 -1.5708   0.74052
## 25 -0.72816 -0.51767 -3.86269  -3.19230 -0.1748   1.66079
## 26 -0.83048 -0.23803 -0.30332  -0.92216  0.1731   0.51909
## 27 -0.82212 -0.18147  0.29192  -0.40338  0.3721  -0.21440
## 28 -0.85978 -0.14338  0.69694  -0.47506  0.9519  -0.23143
## 29 -0.66734  0.15806  0.81062  -0.17811  0.4473   0.40004
## 30 -0.87414 -0.08059  1.23436  -0.16784  1.0382   0.77144
## 
## 
## Site constraints (linear combinations of constraining variables)
## 
##        CCA1     CCA2      CCA3       CCA4    CCA5    CCA6
## 1   3.58349 -4.69241  5.163034 -10.460392 -4.2174 -8.3382
## 2   1.17112 -3.52071  0.990473   0.626423 -1.9289  1.7325
## 3   1.79427 -2.22123  0.885357  -0.722446 -0.1247  1.2824
## 4   1.68327 -1.52358  0.015228   1.484626  0.1233  0.1003
## 5   0.82882 -1.73051 -1.628064   0.694959  2.0643 -0.4130
## 6   1.84781 -1.63584  0.226144  -0.274405 -0.1881  2.1801
## 7   2.05060 -0.73235 -0.279140   0.359418  1.3796 -1.2164
## 9   0.02952 -1.80313 -1.786407   2.216371  2.1408 -1.5175
## 10  1.06995 -1.04385  0.003823  -0.562023 -0.6249 -1.3263
## 11  1.55367  1.02910  0.286770   0.003986  0.5823 -0.4513
## 12  1.47097  1.04413 -0.163614  -0.053012 -0.6944  1.1969
## 13  1.56138  1.74457 -0.476732  -0.116590  0.3382 -0.1656
## 14  1.95600  2.32296 -0.102909  -0.851082  1.0895  0.5512
## 15  1.30132  1.49028  0.291083  -0.643518  0.6949 -0.9058
## 16  0.30360  0.47553 -0.284330   1.131299 -0.5654 -1.0797
## 17  0.28929  0.70902 -0.267014   0.176291 -0.4042  0.8460
## 18  0.13731  0.43204 -0.370799   0.877752 -0.9081 -0.3490
## 19  0.44286  0.73917  0.096677   0.178506 -1.0103  0.2019
## 20 -0.25350  0.16247  0.023660   0.602872 -1.7329  0.2290
## 21 -0.66014 -0.09817 -0.086573   0.817861 -1.1078 -0.4347
## 22 -0.44750  0.46080 -0.330861  -0.129368 -0.3505 -1.0452
## 23 -0.04201  1.04957 -4.149278  -4.927474 -0.1723  1.9115
## 24 -1.34040 -0.07807 -3.032487  -1.554081  0.8112 -0.4967
## 25 -1.01887 -0.85119 -4.848035  -3.778175 -1.4930  2.3199
## 26 -0.89500 -0.33984 -0.703386  -0.241858  0.3915  0.1520
## 27 -1.27686 -0.57971  0.131121  -0.310433 -0.1965 -0.4644
## 28 -0.85592  0.07735  0.636200   0.193984  0.4874 -0.4986
## 29 -0.61651  0.03421  1.078781  -0.107326  0.3596  1.4882
## 30 -0.83933  0.01874  1.139485  -0.643621  1.3816  0.1496
## 
## 
## Biplot scores for constraining variables
## 
##        CCA1     CCA2    CCA3    CCA4     CCA5      CCA6
## ele  0.8049 -0.53385 -0.1640  0.1433  0.09700 -0.031190
## slo  0.4534 -0.40316  0.2016 -0.4500 -0.20564 -0.472915
## dis -0.6962  0.23321  0.4344 -0.2407  0.26281  0.274195
## pH   0.1538  0.28892  0.1238 -0.1355  0.37016 -0.300204
## har -0.5533  0.49784  0.1044 -0.1189  0.46852  0.104247
## pho -0.4297 -0.03666 -0.5085 -0.4939  0.06424  0.225592
## nit -0.6912  0.18509 -0.2099 -0.1266 -0.28415  0.001309
## amm -0.4139 -0.11510 -0.6225 -0.3978 -0.17178  0.209148
## oxy  0.7861  0.38111  0.3241  0.2001 -0.24654 -0.013469
## bod -0.4582 -0.18403 -0.6361 -0.4922  0.14534  0.167807
plot(SPE.CCA, main="CCA dos dados de spe e env")

Esses dados mostram que a maioria das espécies da base spe são pouco influenciadas pelas variáveis da base env. É possível observar as espécies Teso, Cogo e Thth são espécies raras, estas então influenciadas principalmente pelas variáveis pH e oxy, mostrando que a variável pH explica pouco a variação da abundância das espécies ao longo do rio. Também é possível observar que as variáveis slo e ele são as com o maior poder de explicação da variação da abundância das espécies ao longo do rio,principalmente pelas espécies Babl, Phph e Satr.

Testando a significância geral de cada eixo

anova.cca(SPE.CCA, step=1000)
## Permutation test for cca under reduced model
## Permutation: free
## Number of permutations: 999
## 
## Model: cca(X = spe[-8, ], Y = ENV[-8, ])
##          Df ChiSquare      F Pr(>F)    
## Model    10   0.81186 4.1159  0.001 ***
## Residual 18   0.35505                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Esses resultados mostram que há uma grande significância global dos dados obtidos, evidênciados por Pr(>F)=0.001, mostrando que há um grande poder de explicação da variação da abundância das espécies ao longo do rio,principalmente das variáveis pH, oxy, slo e ele.

Avaliação a nível de ecossistemas

Esses dados mostram que o CCA1 representa um gradiante de fertilidade e atividade biológica e altitude. É possível baixo rio é um região onde é a menos influenciada pelas variáveis ambientais,o que significaria que seria uma região menos sensível à perturbações antrópicas.