Paquetes necesarios

require(vegan)
## Loading required package: vegan
## Loading required package: permute
## Loading required package: lattice
## This is vegan 2.4-1
require(dplyr)
## Loading required package: dplyr
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union

Lectura de base de datos

# Lectura
ambient       <- read.csv2("ambientales.csv",enc="latin1",row.names=1)
peces         <- read.csv2("peces.csv",enc="latin1",row.names=1)
locs          <- read.csv2("localidades.csv",enc="latin1",row.names=1)
nomEspec      <- read.csv2("nombresdeespecies.csv",enc="latin1")
nomVarAmbient <- read.csv2("Nombresdevariablesambientales.csv",enc="latin1")

# Adecuación
# Quitar el sitio que no tiene ninguna especie
sumEsp  <- apply(peces,1,sum)
peces   <- peces[sumEsp!=0,]
ambient <- ambient[sumEsp!=0,]
locs    <- locs[sumEsp!=0,]
ambient <- data.frame(scale(ambient))

Adecuación de base de datos

peces.hel <- decostand(peces, "hellinger")

CCA (Canonical Correlation Analysis)

require(CCA)
## Loading required package: CCA
## Loading required package: fda
## Loading required package: splines
## Loading required package: Matrix
## 
## Attaching package: 'fda'
## The following object is masked from 'package:graphics':
## 
##     matplot
## Loading required package: fields
## Loading required package: spam
## Loading required package: grid
## Spam version 1.4-0 (2016-08-29) is loaded.
## Type 'help( Spam)' or 'demo( spam)' for a short introduction 
## and overview of this package.
## Help for individual functions is also obtained by adding the
## suffix '.spam' to the function name, e.g. 'help( chol.spam)'.
## 
## Attaching package: 'spam'
## The following objects are masked from 'package:base':
## 
##     backsolve, forwardsolve
## Loading required package: maps
CCA1 <- cc(peces.hel, ambient)
CCA1
## $cor
##  [1] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
##  [8] 1.0000000 1.0000000 1.0000000 0.9367098
## 
## $names
## $names$Xnames
##  [1] "Cogo" "Satr" "Phph" "Neba" "Thth" "Teso" "Chna" "Chto" "Lele" "Lece"
## [11] "Baba" "Spbi" "Gogo" "Eslu" "Pefl" "Rham" "Legi" "Scer" "Cyca" "Titi"
## [21] "Abbr" "Icme" "Acce" "Ruru" "Blbj" "Alal" "Anan"
## 
## $names$Ynames
##  [1] "das" "alt" "slo" "flo" "pH"  "har" "pho" "nit" "amm" "oxy" "bdo"
## 
## $names$ind.names
##  [1] "1"  "2"  "3"  "4"  "5"  "6"  "7"  "9"  "10" "11" "12" "13" "14" "15"
## [15] "16" "17" "18" "19" "20" "21" "22" "23" "24" "25" "26" "27" "28" "29"
## [29] "30"
## 
## 
## $xcoef
##             [,1]        [,2]        [,3]        [,4]        [,5]
## Cogo   4.8940313   0.9645302  14.9757812  20.8683311  24.3209331
## Satr  -3.1656296   9.6735913  11.8731715  -0.1593395   6.0895830
## Phph   6.4660875   1.6495839   4.8010376   5.2424072   2.0285912
## Neba  -7.9378408   4.2328044   1.4976897  -6.7262433   4.6728415
## Thth  -1.8050584   5.3465654 -17.6807340 -30.5023299 -21.8044264
## Teso -10.5735002  -7.3942501  14.2641288   8.6787500  13.1641184
## Chna  10.8645812   3.7584101  11.4129855  13.6361056  24.3600473
## Chto   6.0550682 -23.0198914  -7.5242548   6.3428680 -10.8612840
## Lele  -2.0936198  -1.2280948  -3.9742825  -2.8962312  -1.6761448
## Lece  -5.0612260  -4.8050884  14.1671241   5.4755143   8.0956695
## Baba   2.1689645  -2.3983610 -14.3481536  -3.7923272  -7.5026284
## Spbi  -3.1763680  13.5911877   8.8007497 -19.7905431   3.1878824
## Gogo   9.2698831  18.8647331   5.1113901  -3.0562164   0.3441646
## Eslu  -0.1928174   1.2723551   5.0654723   0.9502289   3.7622229
## Pefl -13.7066559 -11.0634117  -2.5320528   0.9682230   3.2113213
## Rham  -7.4112148   0.7480104   8.3495942  -6.1985029  -2.3381955
## Legi  30.7512939   5.6052510  -3.5547045  -2.6838818 -22.9871897
## Scer   4.4939374 -10.5796963   9.2821858   5.1963152   5.3521838
## Cyca -24.6841346  44.4113853  -4.8413864 -25.1794338   1.6984344
## Titi   5.4703088   6.0759140  -3.5533648  -4.0360228  -5.0390918
## Abbr  -1.1013310   9.5196834   2.8587814  10.0183334  -2.6545438
## Icme  14.3678718  -4.1659701  11.7175615   2.2530568   8.9746938
## Acce -12.5358208  -8.8455309   0.8801530  12.6802963   3.7842146
## Ruru   2.4824177  12.0511748   4.7184476  -1.0701568   6.3368652
## Blbj -30.2053776  -8.1463575  -1.1690437 -26.5753888   3.3800906
## Alal  -3.8471133   7.5510717  -0.4417488  -4.6414441   3.0175209
## Anan  16.8532647 -23.9068476  18.7021734  46.8765409  17.2586055
##              [,6]        [,7]        [,8]        [,9]       [,10]
## Cogo  0.008696051  -9.9725542  22.6494291  -0.9544185  10.4844443
## Satr  0.142655010  -1.2252711  -2.0589472  -1.1248765  -9.2240056
## Phph  0.542901783  -1.4818176   5.0207249  -2.3690300  -3.2031945
## Neba -0.546859855   2.0423877  -6.1724422  10.2899817  -2.0388174
## Thth -1.787298983  10.4052685 -27.1974100  -1.1812513  -8.8947270
## Teso -1.350398187  -4.4146847   4.5780816  -2.2098639  -3.7405948
## Chna  4.996471681  -5.0749922  23.7007416  -1.8837358  -2.7607078
## Chto -0.925777919  -2.1147954  -1.7154262   7.0522005   5.2504963
## Lele  0.343934933   2.8159909   1.2576201  -9.2275664   1.4691306
## Lece -1.596077032  -2.6821131   0.2786197  -7.0678807  -6.7430208
## Baba  2.433868391   2.3228614   5.2317746   4.5231176  -0.6343282
## Spbi -2.123066631  13.0410872 -18.9108707   5.5060258   3.7035056
## Gogo -1.034210683  -0.4425809  -5.8740528   4.3689464  -0.4987568
## Eslu  0.240536977   0.1448750   6.1629436 -11.2485392  -8.5034976
## Pefl  0.756269432   4.3823014  -1.1173121  -1.5020211  12.4711197
## Rham -0.723257288 -20.0417546  -9.5625605  25.9244380   5.5315377
## Legi -3.784429084   1.4003913 -21.9278838   7.8918635  10.2788056
## Scer -1.393974516  -5.6532834  -4.6972672  21.3625471 -13.1941490
## Cyca -0.395570882  -8.4938945  -2.6990255 -15.7670761 -42.0587978
## Titi  0.007988895  -5.2336223  -4.2123667  12.9722009  -7.9401381
## Abbr -1.319443965  -1.7114515 -17.4895982 -36.3272572  36.2391728
## Icme -2.092489404   9.2370697   5.1318888  37.7007181   3.5013239
## Acce -0.523850700   0.2342497  -0.3700666  -3.8712001   9.4915740
## Ruru  0.921342443   7.0013306   3.7862256  -4.2785178  -0.5898657
## Blbj -1.486800990   8.6757351   9.5468048  -1.6757818 -21.5521186
## Alal -2.424886012  -2.7020752  -6.5704848   6.6521109  -9.0393146
## Anan -0.715121243   2.8809805  43.5544465 -35.7174950 -11.0084855
##            [,11]
## Cogo  32.1677915
## Satr  -0.9197683
## Phph   1.2814253
## Neba  -2.9779300
## Thth -29.9555753
## Teso   1.2689796
## Chna  24.5227806
## Chto   2.3038881
## Lele  -1.2147166
## Lece  -5.7101226
## Baba  -6.7936667
## Spbi   9.8727033
## Gogo   4.2264457
## Eslu   4.7294023
## Pefl -15.9130924
## Rham  68.4748059
## Legi  -1.0118586
## Scer   6.4661494
## Cyca -57.0856484
## Titi   8.1757671
## Abbr -32.3820909
## Icme  72.6552761
## Acce -21.5160926
## Ruru  -1.6258341
## Blbj  -1.0675465
## Alal   3.4711410
## Anan -50.4091877
## 
## $ycoef
##            [,1]       [,2]       [,3]        [,4]        [,5]        [,6]
## das -9.68347522  1.9824927 -0.5348787 -1.85004262 -0.89960077 -1.50938267
## alt -4.17737265  1.4960057  1.9267984 -1.25270616 -0.46950566 -0.31083121
## slo  0.32106969 -0.8687713 -0.2668215  0.95713275 -0.88389017  0.07001474
## flo  5.14585063 -0.9936084  1.3230314  0.60036022 -0.62760870  0.36436973
## pH   0.03524224 -0.5327167 -0.2663179  0.31178570  0.03798808  0.07316082
## har -0.91365062 -0.9322896  0.4009369 -0.23581412  0.41963519 -0.12310555
## pho -2.09280734  1.8613776  1.9356456  2.15768313  2.06345568 -0.03027192
## nit  1.95761712  1.2272326  1.4269912  0.02069024 -0.26846145 -0.08939963
## amm -0.61646465 -3.4565786 -3.0263736 -0.75956671 -1.85194340  0.01489248
## oxy -2.11716370  1.4407310  0.3350523 -1.92961051  0.23413677 -0.12618288
## bdo  0.88057940  1.9305934  0.1284216 -1.90985532  0.43490307  0.04810406
##            [,7]        [,8]        [,9]      [,10]      [,11]
## das  0.23227050 -0.89525749  1.26234784 -1.1680632 -5.2447655
## alt  1.55506686 -0.58862863  0.43694326 -3.6111565 -3.2297128
## slo -0.34050355  0.28061736 -1.24810706  0.6417931  0.7274929
## flo  0.54095137  0.07114732 -0.70151487 -0.7159926  3.7860084
## pH  -0.21726849  0.76541890 -0.27526314 -0.2474999  0.7601825
## har  0.45820606 -0.23484194 -0.51316659 -0.3527669 -1.2791365
## pho -1.62748015 -0.65659361  0.05597201  1.9404930 -0.3145424
## nit  0.01194639  0.87637666 -1.23908822 -2.4480597 -0.9289129
## amm  0.25971283 -1.15069842  1.93495859 -0.1785877  0.1547414
## oxy -0.29065879 -1.25980489 -0.21138985 -1.8957542 -1.3111118
## bdo  1.41548327  0.14022792 -1.77461581 -2.1047818  0.4998284
## 
## $scores
## $scores$xscores
##           [,1]       [,2]        [,3]        [,4]        [,5]        [,6]
## 1  -0.53937210  1.0769960  0.13214883  0.75309802 -2.56684073  1.47155454
## 2   0.34712937  0.7164709 -0.55619828  0.47316790 -1.21798640  1.46099751
## 3  -0.01432268  0.4175504 -0.31625441  0.23143167 -0.56547288  1.46656772
## 4  -1.65082563 -0.1320289  0.72765751  0.35810702  0.16543775  1.12461656
## 5   0.97121482 -1.2928157 -0.04618127  0.58482865  0.58386197  1.24559092
## 6  -0.42064680  2.5790265  0.67885821 -0.81146439  0.36787315  1.13076877
## 7  -2.13643881 -1.5061877  0.68224513  0.32930411 -0.02086878  1.06135752
## 9   0.44413438 -1.0024272  0.27431982  0.82143453  0.92737628  0.76162412
## 10  0.76672517 -0.1054674  0.01763567  0.23477771 -0.92851368  0.61524035
## 11  1.88425314 -0.8196737  1.26221859  0.70864677  0.35565003  0.54839203
## 12  0.10074832  0.2459477 -0.07649113 -1.79177063  0.45915716  0.43315286
## 13 -0.81593942 -1.3761929 -0.24035102 -1.19634315  0.52173790  0.35765173
## 14 -0.35173865  0.1485891  0.64854290 -1.41900158  1.45697234  0.30553338
## 15 -0.35341883 -0.6817038 -0.04326703  0.25749170  1.83325337  0.41561347
## 16  0.19718130 -0.1285416 -0.28654210  0.29714827 -0.06039638 -0.05932176
## 17  2.48344738  0.1879769 -0.15264123 -1.75434945  0.11482927 -0.10365761
## 18  0.66676106 -0.4337281 -0.10199248  0.07889443  0.22404087 -0.18517196
## 19  0.21367323  1.0359888  0.23436460 -0.23019219  0.90438900 -0.24616781
## 20  0.97733773 -0.6724231 -0.94839007 -0.74919270 -1.18941764 -0.50343753
## 21  0.22465151  0.5337870 -0.74671630 -0.41716820 -0.69785938 -0.71478371
## 22 -1.05850124 -0.2006798 -1.41796900 -0.32388535 -0.58153846 -0.71033164
## 23 -1.38346655  0.3658618 -2.61060043 -0.16688033  0.69355316 -0.72312110
## 24  0.22569470  0.3641429 -1.73173542 -0.35149838  1.05362803 -0.84674489
## 25  0.67821375 -0.2680317 -0.70493379  3.31687199  0.80145437 -0.98390608
## 26  0.05726036  2.7158862  1.49564131  1.22653519  1.16694724 -1.21626935
## 27  0.25973847 -0.1951904 -0.63719814  0.58010987 -1.57870708 -1.26317174
## 28 -1.20211393  0.1720802  0.80414077  0.07223716 -0.69982931 -1.61512262
## 29  0.41853316 -0.7750351  1.94083793 -0.93121380 -1.22355751 -1.54640228
## 30 -0.98991322 -0.9701774  1.71885085 -0.18112485 -0.29917366 -1.68105141
##           [,7]         [,8]        [,9]      [,10]       [,11]
## 1  -0.62508846 -0.584194125 -1.58562157 -0.2814562  1.08645751
## 2  -0.02506038 -0.041795873  2.59038099  0.1197054  0.66338416
## 3   0.26482226  1.220672942  0.52624164 -1.2700747  1.72603532
## 4  -0.08785647 -0.568947350  1.22024943  0.2704925 -1.21403139
## 5   1.99218702  0.886983438 -0.11443150 -0.3575239  0.15325144
## 6   1.07773664 -0.418174885  0.14698448 -0.5191082 -0.61237488
## 7   0.34952535 -0.232311095 -0.59567233 -0.2736299 -1.26315093
## 9   1.89034705  1.023840190  0.62557686  0.6755572 -1.12624272
## 10  0.50466879 -0.680405093 -1.51890429  1.5487154 -0.63419057
## 11 -0.99568015  0.278791807 -2.14920021  0.0253645  0.34608290
## 12 -0.26927866 -1.603654483  0.30255998  0.5505239  0.11324200
## 13 -0.65908870 -0.981875644 -0.41058083  0.5596381  0.17076632
## 14 -0.67248198  0.121970750 -1.31120397 -1.3294037 -0.01438655
## 15 -1.93733842  1.402492432  0.51423789  0.2402009  2.44247886
## 16 -1.12659355  0.454076077 -0.41473816  1.0982425 -1.21545504
## 17  0.29188522  0.075312455  0.10247893 -1.6634286 -0.48913584
## 18 -1.15764829 -0.364744155  0.85325313  0.7572610 -0.67772119
## 19 -1.46708951 -0.065863814  0.88956723  0.3616766 -0.43145174
## 20 -0.97475560 -0.094257095  0.95104830 -0.7864832 -1.51521430
## 21 -0.32589543  0.342127844  0.37633449  1.1859031  0.62547218
## 22 -0.37540025  0.885098993 -0.27619983  1.5477131 -0.48586369
## 23  0.84913562 -1.138858651 -1.43019161 -1.1156546  0.79271485
## 24  1.87984325  0.436474724  0.06983555  0.7595927  0.36112942
## 25 -0.43851971 -2.526152752  0.55512506 -1.4390077 -0.06875255
## 26  0.31830332  0.483553723 -0.59037264  1.1909681 -0.26558776
## 27  0.16989989  1.607575533 -0.72128701  0.1166652  0.06869984
## 28 -0.39194925  1.737453648  0.11845794 -2.4315338 -1.36773093
## 29  1.17899960 -1.660317218  0.33871170  0.3047761  1.16030093
## 30  0.76237080  0.005127676  0.93736036  0.1543081  1.67127435
## 
## $scores$yscores
##           [,1]       [,2]        [,3]        [,4]        [,5]        [,6]
## 1  -0.53937210  1.0769960  0.13214883  0.75309802 -2.56684073  1.47155454
## 2   0.34712937  0.7164709 -0.55619828  0.47316790 -1.21798640  1.46099751
## 3  -0.01432268  0.4175504 -0.31625441  0.23143167 -0.56547288  1.46656772
## 4  -1.65082563 -0.1320289  0.72765751  0.35810702  0.16543775  1.12461656
## 5   0.97121482 -1.2928157 -0.04618127  0.58482865  0.58386197  1.24559092
## 6  -0.42064680  2.5790265  0.67885821 -0.81146439  0.36787315  1.13076877
## 7  -2.13643881 -1.5061877  0.68224513  0.32930411 -0.02086878  1.06135752
## 9   0.44413438 -1.0024272  0.27431982  0.82143453  0.92737628  0.76162412
## 10  0.76672517 -0.1054674  0.01763567  0.23477771 -0.92851368  0.61524035
## 11  1.88425314 -0.8196737  1.26221859  0.70864677  0.35565003  0.54839203
## 12  0.10074832  0.2459477 -0.07649113 -1.79177063  0.45915716  0.43315286
## 13 -0.81593942 -1.3761929 -0.24035102 -1.19634315  0.52173790  0.35765173
## 14 -0.35173865  0.1485891  0.64854290 -1.41900158  1.45697234  0.30553338
## 15 -0.35341883 -0.6817038 -0.04326703  0.25749170  1.83325337  0.41561347
## 16  0.19718130 -0.1285416 -0.28654210  0.29714827 -0.06039638 -0.05932176
## 17  2.48344738  0.1879769 -0.15264123 -1.75434945  0.11482927 -0.10365761
## 18  0.66676106 -0.4337281 -0.10199248  0.07889443  0.22404087 -0.18517196
## 19  0.21367323  1.0359888  0.23436460 -0.23019219  0.90438900 -0.24616781
## 20  0.97733773 -0.6724231 -0.94839007 -0.74919270 -1.18941764 -0.50343753
## 21  0.22465151  0.5337870 -0.74671630 -0.41716820 -0.69785938 -0.71478371
## 22 -1.05850124 -0.2006798 -1.41796900 -0.32388535 -0.58153846 -0.71033164
## 23 -1.38346655  0.3658618 -2.61060043 -0.16688033  0.69355316 -0.72312110
## 24  0.22569470  0.3641429 -1.73173542 -0.35149838  1.05362803 -0.84674489
## 25  0.67821375 -0.2680317 -0.70493379  3.31687199  0.80145437 -0.98390608
## 26  0.05726036  2.7158862  1.49564131  1.22653519  1.16694724 -1.21626935
## 27  0.25973847 -0.1951904 -0.63719814  0.58010987 -1.57870708 -1.26317174
## 28 -1.20211393  0.1720802  0.80414077  0.07223716 -0.69982931 -1.61512262
## 29  0.41853316 -0.7750351  1.94083793 -0.93121380 -1.22355751 -1.54640228
## 30 -0.98991322 -0.9701774  1.71885085 -0.18112485 -0.29917366 -1.68105141
##           [,7]         [,8]        [,9]      [,10]        [,11]
## 1  -0.62508846 -0.584194125 -1.58562157 -0.2814562  0.903958456
## 2  -0.02506038 -0.041795873  2.59038099  0.1197054  0.936341254
## 3   0.26482226  1.220672942  0.52624164 -1.2700747  1.592435250
## 4  -0.08785647 -0.568947350  1.22024943  0.2704925 -1.339982039
## 5   1.99218702  0.886983438 -0.11443150 -0.3575239  0.141341341
## 6   1.07773664 -0.418174885  0.14698448 -0.5191082 -0.236656219
## 7   0.34952535 -0.232311095 -0.59567233 -0.2736299 -1.376629961
## 9   1.89034705  1.023840190  0.62557686  0.6755572 -1.223273557
## 10  0.50466879 -0.680405093 -1.51890429  1.5487154 -0.613138458
## 11 -0.99568015  0.278791807 -2.14920021  0.0253645  0.516829324
## 12 -0.26927866 -1.603654483  0.30255998  0.5505239 -0.007577714
## 13 -0.65908870 -0.981875644 -0.41058083  0.5596381  0.045425442
## 14 -0.67248198  0.121970750 -1.31120397 -1.3294037  0.146968730
## 15 -1.93733842  1.402492432  0.51423789  0.2402009  2.210521022
## 16 -1.12659355  0.454076077 -0.41473816  1.0982425 -1.124097064
## 17  0.29188522  0.075312455  0.10247893 -1.6634286 -0.642581090
## 18 -1.15764829 -0.364744155  0.85325313  0.7572610 -0.554848412
## 19 -1.46708951 -0.065863814  0.88956723  0.3616766 -0.171662213
## 20 -0.97475560 -0.094257095  0.95104830 -0.7864832 -1.117491057
## 21 -0.32589543  0.342127844  0.37633449  1.1859031 -0.808467037
## 22 -0.37540025  0.885098993 -0.27619983  1.5477131  0.194938555
## 23  0.84913562 -1.138858651 -1.43019161 -1.1156546  0.832252273
## 24  1.87984325  0.436474724  0.06983555  0.7595927  0.325412176
## 25 -0.43851971 -2.526152752  0.55512506 -1.4390077 -0.120191320
## 26  0.31830332  0.483553723 -0.59037264  1.1909681 -0.283788692
## 27  0.16989989  1.607575533 -0.72128701  0.1166652  0.372957528
## 28 -0.39194925  1.737453648  0.11845794 -2.4315338 -1.676305633
## 29  1.17899960 -1.660317218  0.33871170  0.3047761  1.079150911
## 30  0.76237080  0.005127676  0.93736036  0.1543081  1.998158202
## 
## $scores$corr.X.xscores
##              [,1]        [,2]        [,3]        [,4]         [,5]
## Cogo  0.179885586 -0.23617829  0.10553547 -0.37986763  0.423140002
## Satr -0.117335571  0.02433846  0.18448464 -0.08709804 -0.229121198
## Phph  0.112046769 -0.15487796  0.21569603 -0.22448039  0.166669340
## Neba -0.001865164 -0.03701836  0.21630514 -0.19271646  0.171499927
## Thth  0.159144283 -0.25953153  0.18212079 -0.46233433  0.381689427
## Teso  0.079732847 -0.18456894  0.06142901 -0.33379889  0.383209066
## Chna  0.181101612  0.15820471 -0.12987779 -0.22986039 -0.113092326
## Chto  0.295616093 -0.05504000 -0.02833516 -0.27357785 -0.215481687
## Lele  0.216836382 -0.13468858  0.07899541  0.19695021  0.004320963
## Lece  0.072514468 -0.13731183 -0.17405885  0.14763923  0.427420763
## Baba  0.162294506  0.02719017  0.09527819 -0.25015307 -0.087569416
## Spbi  0.308296657  0.03109723  0.14668924 -0.25853109 -0.208346533
## Gogo  0.146377041  0.12953764  0.02407988  0.22563961  0.107921106
## Eslu  0.043885335  0.10813765  0.20259662  0.16765219 -0.079952263
## Pefl  0.055204423  0.03086342  0.21928301 -0.14880862 -0.137258603
## Rham  0.089740487  0.07904549  0.19140441 -0.16016085 -0.303265841
## Legi  0.107910981  0.11793341  0.02006627 -0.16170660 -0.220921055
## Scer  0.068445341 -0.08591828  0.09011029  0.33834292 -0.119188863
## Cyca  0.041352012  0.04133521  0.18595798 -0.15219549 -0.311778075
## Titi  0.035776684  0.11543960  0.23081804 -0.02393472 -0.033349723
## Abbr -0.132568758  0.11536515  0.21305795 -0.05069635 -0.324269645
## Icme -0.212563280  0.02324715  0.33784200 -0.01930933 -0.335045223
## Acce  0.011318582  0.13385623 -0.03853627  0.22951722 -0.099763161
## Ruru  0.129344473  0.07185507 -0.30109120  0.16159275  0.169390861
## Blbj -0.101884809  0.12208041  0.03576117 -0.08014971 -0.251948094
## Alal -0.008964056  0.16747179 -0.47485016  0.16116424  0.092238060
## Anan  0.071475828  0.08746545  0.23756434 -0.14389929 -0.314773703
##             [,6]         [,7]         [,8]         [,9]       [,10]
## Cogo  0.16772743 -0.507058716 -0.070539827 -0.254331796  0.03437223
## Satr  0.79492579 -0.209421160 -0.158816671 -0.169660887 -0.08148748
## Phph  0.75996838 -0.142501321 -0.067167761  0.051914089  0.04674156
## Neba  0.72355010 -0.081342240  0.089969916  0.171631186  0.09440391
## Thth  0.12619170 -0.381935688 -0.184546846 -0.245949728 -0.03597766
## Teso  0.02517832 -0.495706110  0.041161504 -0.060482912  0.01925479
## Chna -0.66399744  0.003308225  0.207815856  0.213691697  0.19768220
## Chto -0.44275148 -0.326399443  0.132661379  0.221357338  0.08447802
## Lele -0.19985755 -0.072597793  0.068503968  0.018130873  0.09667049
## Lece -0.20503004  0.381871410  0.003432765 -0.203030668  0.08419120
## Baba -0.61485202 -0.409462460  0.338738270  0.139635961  0.08284255
## Spbi -0.58962644 -0.212779629  0.105879268  0.261968350  0.05645421
## Gogo -0.56366865 -0.091110865  0.026215723  0.185446889  0.09586349
## Eslu -0.29938453  0.095040353  0.101163652  0.254872213 -0.22753256
## Pefl -0.26454693  0.104938334  0.152934758  0.311270410  0.08777358
## Rham -0.73389142 -0.136598867  0.206921588  0.225072866  0.06459740
## Legi -0.80033429  0.025120215  0.290414992  0.146897785  0.16562528
## Scer -0.59331256  0.070354369 -0.016688378  0.213713815 -0.10118710
## Cyca -0.74914671 -0.160474146  0.280066847  0.174615721  0.09055187
## Titi -0.32321358  0.135711092  0.442060484  0.306512462  0.13120764
## Abbr -0.74220788 -0.017783655  0.263738786  0.113505818  0.16621869
## Icme -0.73563441  0.142932858  0.242879693  0.044791354  0.09152049
## Acce -0.83367673  0.087953291  0.073389353  0.167080761  0.09573408
## Ruru -0.52814753  0.463614750  0.124907331  0.108791544 -0.02893361
## Blbj -0.78433962  0.118409629  0.320603720  0.118119652  0.15083227
## Alal -0.74112518  0.164946831 -0.172335949  0.000523304 -0.14111744
## Anan -0.76428296 -0.077557372  0.240030441  0.190643167  0.01645448
##             [,11]
## Cogo  0.135376050
## Satr  0.218342928
## Phph -0.051373486
## Neba -0.226649497
## Thth  0.206422060
## Teso  0.093538733
## Chna -0.118106638
## Chto -0.265895662
## Lele -0.195406602
## Lece -0.284130320
## Baba -0.054500734
## Spbi -0.170656627
## Gogo -0.156477428
## Eslu -0.128347394
## Pefl -0.269035249
## Rham -0.105433263
## Legi -0.139782835
## Scer  0.002506100
## Cyca -0.143755834
## Titi -0.256755703
## Abbr  0.027948853
## Icme  0.145009819
## Acce -0.020228973
## Ruru -0.196034680
## Blbj  0.001870039
## Alal  0.036621687
## Anan -0.081427024
## 
## $scores$corr.Y.xscores
##              [,1]          [,2]          [,3]          [,4]          [,5]
## das  1.380700e-15  9.457186e-16 -9.102110e-16 -8.925394e-16 -3.936835e-16
## alt -1.230066e-01  3.940638e-02  1.082273e-01  1.107712e-01 -1.525570e-01
## slo -1.260049e-01  4.333534e-02  1.069511e-02  1.129013e-01 -4.493508e-01
## flo  1.441356e-02 -1.032524e-01  2.225351e-01 -6.469761e-02 -2.079560e-02
## pH  -2.854555e-01 -2.594261e-01 -1.819297e-02 -6.061226e-02  3.552138e-01
## har  4.669832e-02 -4.175558e-01  1.343656e-01 -1.036454e-01  3.986652e-01
## pho  1.100936e-03  1.053609e-01 -3.105202e-01  5.667392e-01  3.189171e-01
## nit  1.999866e-01  7.424893e-02 -2.661946e-01  3.721194e-01  1.109570e-01
## amm  5.883586e-02  4.151078e-02 -4.592851e-01  5.217139e-01  2.086590e-01
## oxy -6.536075e-02 -1.142483e-01  2.730146e-01 -5.161541e-01 -1.355367e-01
## bdo  1.574587e-02  1.913762e-01 -4.621097e-01  4.012040e-01  2.925541e-01
##           [,6]          [,7]          [,8]          [,9]         [,10]
## das -0.9954007  9.982404e-18 -3.704636e-16 -3.330050e-19  3.951046e-16
## alt  0.9415037  1.990145e-01  2.867669e-02  7.760136e-02 -5.328642e-02
## slo  0.7559110 -2.260020e-02 -1.369365e-01 -4.025504e-01  1.169335e-01
## flo -0.9285727  5.738348e-04 -1.113484e-01  4.200396e-02 -2.724891e-02
## pH   0.0202184 -3.286622e-01  5.781246e-01  5.719697e-02 -3.727417e-01
## har -0.7447056  7.498035e-02 -9.527468e-02 -2.304264e-01  1.529446e-02
## pho -0.4683147  1.006663e-01 -3.890653e-01 -4.291629e-02 -2.854319e-01
## nit -0.7584790 -1.338166e-01 -1.148051e-01 -2.736825e-02 -3.113773e-01
## amm -0.4091540  1.271017e-01 -3.987687e-01  1.155690e-02 -3.540978e-01
## oxy  0.5769537 -5.296386e-01 -1.890613e-02 -7.322645e-02  5.173789e-02
## bdo -0.4286360  3.922517e-01 -2.793945e-01 -1.810415e-01 -2.150400e-01
##            [,11]
## das  0.089735389
## alt -0.017263422
## slo -0.030833077
## flo  0.225274710
## pH   0.345654821
## har -0.107293350
## pho  0.069065299
## nit -0.158871899
## amm  0.006716812
## oxy  0.037045202
## bdo  0.085643712
## 
## $scores$corr.X.yscores
##              [,1]        [,2]        [,3]        [,4]         [,5]
## Cogo  0.179885586 -0.23617829  0.10553547 -0.37986763  0.423140002
## Satr -0.117335571  0.02433846  0.18448464 -0.08709804 -0.229121198
## Phph  0.112046769 -0.15487796  0.21569603 -0.22448039  0.166669340
## Neba -0.001865164 -0.03701836  0.21630514 -0.19271646  0.171499927
## Thth  0.159144283 -0.25953153  0.18212079 -0.46233433  0.381689427
## Teso  0.079732847 -0.18456894  0.06142901 -0.33379889  0.383209066
## Chna  0.181101612  0.15820471 -0.12987779 -0.22986039 -0.113092326
## Chto  0.295616093 -0.05504000 -0.02833516 -0.27357785 -0.215481687
## Lele  0.216836382 -0.13468858  0.07899541  0.19695021  0.004320963
## Lece  0.072514468 -0.13731183 -0.17405885  0.14763923  0.427420763
## Baba  0.162294506  0.02719017  0.09527819 -0.25015307 -0.087569416
## Spbi  0.308296657  0.03109723  0.14668924 -0.25853109 -0.208346533
## Gogo  0.146377041  0.12953764  0.02407988  0.22563961  0.107921106
## Eslu  0.043885335  0.10813765  0.20259662  0.16765219 -0.079952263
## Pefl  0.055204423  0.03086342  0.21928301 -0.14880862 -0.137258603
## Rham  0.089740487  0.07904549  0.19140441 -0.16016085 -0.303265841
## Legi  0.107910981  0.11793341  0.02006627 -0.16170660 -0.220921055
## Scer  0.068445341 -0.08591828  0.09011029  0.33834292 -0.119188863
## Cyca  0.041352012  0.04133521  0.18595798 -0.15219549 -0.311778075
## Titi  0.035776684  0.11543960  0.23081804 -0.02393472 -0.033349723
## Abbr -0.132568758  0.11536515  0.21305795 -0.05069635 -0.324269645
## Icme -0.212563280  0.02324715  0.33784200 -0.01930933 -0.335045223
## Acce  0.011318582  0.13385623 -0.03853627  0.22951722 -0.099763161
## Ruru  0.129344473  0.07185507 -0.30109120  0.16159275  0.169390861
## Blbj -0.101884809  0.12208041  0.03576117 -0.08014971 -0.251948094
## Alal -0.008964056  0.16747179 -0.47485016  0.16116424  0.092238060
## Anan  0.071475828  0.08746545  0.23756434 -0.14389929 -0.314773703
##             [,6]         [,7]         [,8]         [,9]       [,10]
## Cogo  0.16772743 -0.507058716 -0.070539827 -0.254331796  0.03437223
## Satr  0.79492579 -0.209421160 -0.158816671 -0.169660887 -0.08148748
## Phph  0.75996838 -0.142501321 -0.067167761  0.051914089  0.04674156
## Neba  0.72355010 -0.081342240  0.089969916  0.171631186  0.09440391
## Thth  0.12619170 -0.381935688 -0.184546846 -0.245949728 -0.03597766
## Teso  0.02517832 -0.495706110  0.041161504 -0.060482912  0.01925479
## Chna -0.66399744  0.003308225  0.207815856  0.213691697  0.19768220
## Chto -0.44275148 -0.326399443  0.132661379  0.221357338  0.08447802
## Lele -0.19985755 -0.072597793  0.068503968  0.018130873  0.09667049
## Lece -0.20503004  0.381871410  0.003432765 -0.203030668  0.08419120
## Baba -0.61485202 -0.409462460  0.338738270  0.139635961  0.08284255
## Spbi -0.58962644 -0.212779629  0.105879268  0.261968350  0.05645421
## Gogo -0.56366865 -0.091110865  0.026215723  0.185446889  0.09586349
## Eslu -0.29938453  0.095040353  0.101163652  0.254872213 -0.22753256
## Pefl -0.26454693  0.104938334  0.152934758  0.311270410  0.08777358
## Rham -0.73389142 -0.136598867  0.206921588  0.225072866  0.06459740
## Legi -0.80033429  0.025120215  0.290414992  0.146897785  0.16562528
## Scer -0.59331256  0.070354369 -0.016688378  0.213713815 -0.10118710
## Cyca -0.74914671 -0.160474146  0.280066847  0.174615721  0.09055187
## Titi -0.32321358  0.135711092  0.442060484  0.306512462  0.13120764
## Abbr -0.74220788 -0.017783655  0.263738786  0.113505818  0.16621869
## Icme -0.73563441  0.142932858  0.242879693  0.044791354  0.09152049
## Acce -0.83367673  0.087953291  0.073389353  0.167080761  0.09573408
## Ruru -0.52814753  0.463614750  0.124907331  0.108791544 -0.02893361
## Blbj -0.78433962  0.118409629  0.320603720  0.118119652  0.15083227
## Alal -0.74112518  0.164946831 -0.172335949  0.000523304 -0.14111744
## Anan -0.76428296 -0.077557372  0.240030441  0.190643167  0.01645448
##             [,11]
## Cogo  0.126808074
## Satr  0.204523961
## Phph -0.048122048
## Neba -0.212304807
## Thth  0.193357568
## Teso  0.087618648
## Chna -0.110631646
## Chto -0.249067074
## Lele -0.183039280
## Lece -0.266147657
## Baba -0.051051372
## Spbi -0.159855736
## Gogo -0.146573941
## Eslu -0.120224263
## Pefl -0.252007956
## Rham -0.098760371
## Legi -0.130935952
## Scer  0.002347489
## Cyca -0.134657499
## Titi -0.240505584
## Abbr  0.026179965
## Icme  0.135832119
## Acce -0.018948677
## Ruru -0.183627607
## Blbj  0.001751684
## Alal  0.034303893
## Anan -0.076273492
## 
## $scores$corr.Y.yscores
##              [,1]          [,2]          [,3]          [,4]          [,5]
## das -2.590353e-15  3.496591e-16  6.405157e-16 -2.847773e-16 -4.622477e-16
## alt -1.230066e-01  3.940638e-02  1.082273e-01  1.107712e-01 -1.525570e-01
## slo -1.260049e-01  4.333534e-02  1.069511e-02  1.129013e-01 -4.493508e-01
## flo  1.441356e-02 -1.032524e-01  2.225351e-01 -6.469761e-02 -2.079560e-02
## pH  -2.854555e-01 -2.594261e-01 -1.819297e-02 -6.061226e-02  3.552138e-01
## har  4.669832e-02 -4.175558e-01  1.343656e-01 -1.036454e-01  3.986652e-01
## pho  1.100936e-03  1.053609e-01 -3.105202e-01  5.667392e-01  3.189171e-01
## nit  1.999866e-01  7.424893e-02 -2.661946e-01  3.721194e-01  1.109570e-01
## amm  5.883586e-02  4.151078e-02 -4.592851e-01  5.217139e-01  2.086590e-01
## oxy -6.536075e-02 -1.142483e-01  2.730146e-01 -5.161541e-01 -1.355367e-01
## bdo  1.574587e-02  1.913762e-01 -4.621097e-01  4.012040e-01  2.925541e-01
##           [,6]          [,7]          [,8]          [,9]         [,10]
## das -0.9954007  2.467799e-16  4.980894e-16 -5.224460e-16  4.290169e-16
## alt  0.9415037  1.990145e-01  2.867669e-02  7.760136e-02 -5.328642e-02
## slo  0.7559110 -2.260020e-02 -1.369365e-01 -4.025504e-01  1.169335e-01
## flo -0.9285727  5.738348e-04 -1.113484e-01  4.200396e-02 -2.724891e-02
## pH   0.0202184 -3.286622e-01  5.781246e-01  5.719697e-02 -3.727417e-01
## har -0.7447056  7.498035e-02 -9.527468e-02 -2.304264e-01  1.529446e-02
## pho -0.4683147  1.006663e-01 -3.890653e-01 -4.291629e-02 -2.854319e-01
## nit -0.7584790 -1.338166e-01 -1.148051e-01 -2.736825e-02 -3.113773e-01
## amm -0.4091540  1.271017e-01 -3.987687e-01  1.155690e-02 -3.540978e-01
## oxy  0.5769537 -5.296386e-01 -1.890613e-02 -7.322645e-02  5.173789e-02
## bdo -0.4286360  3.922517e-01 -2.793945e-01 -1.810415e-01 -2.150400e-01
##            [,11]
## das  0.095798494
## alt -0.018429851
## slo -0.032916360
## flo  0.240495732
## pH   0.369009504
## har -0.114542785
## pho  0.073731799
## nit -0.169606315
## amm  0.007170644
## oxy  0.039548217
## bdo  0.091430357
temp1 <- data.frame(das = ambient$das, Legi = peces.hel$Legi)
require(ggplot2)
## Loading required package: ggplot2
g1 <- ggplot(temp1, aes(das, Legi))
g1 + geom_jitter() + geom_smooth(method = lm)

temp2 <- data.frame(pH = ambient$pH, Chna = peces.hel$Chna)
require(ggplot2)
g1 <- ggplot(temp2, aes(pH, Chna))
g1 + geom_jitter() + geom_smooth(method = lm)

Graficas del CCA

plot(CCA1$cor, type = "b")

plt.cc(CCA1, var.label = TRUE, d1 = 1, d2 = 2, type = "b")

Gráfica de las dos variables canónicas

plot(CCA1$scores$xscores[,1],CCA1$scores$yscores[,1])

Imágenes de matrices de correlación

matriz_corr <- matcor(peces.hel, ambient)

img.matcor(matriz_corr)

img.matcor(matriz_corr, type = 2)

require(vegan)
cca2 <- CCorA(peces.hel, ambient)
cca2
## 
## Canonical Correlation Analysis
## 
## Call:
## CCorA(Y = peces.hel, X = ambient) 
## 
##               Y  X
## Matrix Ranks 27 11
## 
## Pillai's trace:  10.87743 
## 
## Significance of Pillai's trace:
## from F-distribution:   0.015277 
##                        CanAxis1 CanAxis2 CanAxis3 CanAxis4 CanAxis5
## Canonical Correlations        1        1        1        1        1
##                        CanAxis6 CanAxis7 CanAxis8 CanAxis9 CanAxis10
## Canonical Correlations        1        1        1        1         1
##                        CanAxis11
## Canonical Correlations    0.9367
## 
##                      Y | X  X | Y
## RDA R squares      0.73148 0.9971
## adj. RDA R squares 0.55774 0.9183
biplot(cca2)