library(factoextra)
## Warning: le package 'factoextra' a été compilé avec la version R 4.3.3
## Le chargement a nécessité le package : ggplot2
## Warning: le package 'ggplot2' a été compilé avec la version R 4.3.3
## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa
library(FactoMineR)
## Warning: le package 'FactoMineR' a été compilé avec la version R 4.3.3
#environment=read.table(choose.files() , sep=";", dec=",",header = T, )
environment
## function (fun = NULL) 
## .Internal(environment(fun))
## <bytecode: 0x0000025a213744c0>
## <environment: namespace:base>

existe t ’il des diférences entres les sites ? ANOVA-> avec 4 mesure difficke de savoir si Normale. en meme temps selon le TCL les moyennes tendent vers a des distribution normale. CPDT en medecin on demande 30 echnatillon pour consider que la moyenne a converger. On ne fait pas de Test de Normalite car on a beaucoup a faire, avec peu de puissance alors il y a forte probabilite que une soit normale par hasard on va juste regarder l’aspect globable -> on pourrait faire un qqplote . NN mais elles sont normale car pour toutes les prises ont ete echantille plein de fois et sont deja des moyennes- on peut aplique ANOVA

#for (i in seq(1,11,1)) {
#  hist(environment[,i])
  
#}

testons l’homocedatisicte des Données-> validé

#bartlett.test(environment)

faison le anova

#environment[,2]



#for (i in seq(2,11,1)) {
 # aov(environment$site~environment[,2])
  
#}

changement de jeux de donné pour inclures les variances

T_lux=read.table(file = "Tandluxcsv.csv" , sep=";", dec=".",header = T,na.strings = "" )  
T_lux$site=as.factor(T_lux$site)
#T_lux$couvert.ouvert=as.factor(T_lux$couvert.ouvert) 
#T_lux
Nutriment=read.table(file = "nutriment.csv" , sep=";", dec=",",header = T,) ; Nutriment
##                   site amonica    N    p  T.max
## 1   amon_etang_du_haut    0.00 0.50 0.04 17.475
## 2   aval_etang_du_haut    0.00 0.15 0.40 19.662
## 3 amont_etang_paimpont    0.03 0.30 1.27 19.092
## 4  aval_etang_paimpont    0.15 0.30 0.35 17.665
Turbidité=read.table(file="turbitité3.csv", sep=";", dec=",",header = T,) ; Turbidité
##      Dénomination cyano Total Turbidité_FTU
## 1       Station_1   0.0   9.3         156.0
## 2       Station_1   0.0   9.3         100.8
## 3       Station_1   0.0   0.3         439.8
## 4       Station_2   0.9   8.9          34.8
## 5       Station_2   3.6  16.0          37.1
## 6       Station_2   8.3  24.7          34.9
## 7       Station_2   0.5  22.9          97.5
## 8  Amont_lac_haut   0.0  49.9         316.6
## 9  Amont_lac_haut   1.5   9.1          34.7
## 10 Amont_lac_haut   0.0   7.1          52.9
## 11  Aval_pas_nous  64.1 120.0          56.1
## 12  Aval_pas_nous  16.0  97.4         179.2
## 13  Aval_pas_nous   1.9  44.2          71.9
algo=read.table(file = "algotorch3.csv" , sep=";", dec=",",header = T,); #algo
algo$Dénomination=as.factor(algo$Dénomination)
algo$amont1_aval2=as.factor(algo$amont1_aval2)

egalité des variances ? bonnnnnn falait pas multiplier les test T mais bon. mieux vaux observation

bartlett.test(algo$cyano_.microg.cm2.~algo$Dénomination)
## 
##  Bartlett test of homogeneity of variances
## 
## data:  algo$cyano_.microg.cm2. by algo$Dénomination
## Bartlett's K-squared = 19.912, df = 3, p-value = 0.0001771
bartlett.test(algo$algues_vertes_.microg.cm2.~algo$Dénomination)
## 
##  Bartlett test of homogeneity of variances
## 
## data:  algo$algues_vertes_.microg.cm2. by algo$Dénomination
## Bartlett's K-squared = 20.464, df = 3, p-value = 0.000136
bartlett.test(algo$diatomées_.microg.cm2.~algo$Dénomination)
## 
##  Bartlett test of homogeneity of variances
## 
## data:  algo$diatomées_.microg.cm2. by algo$Dénomination
## Bartlett's K-squared = 12.631, df = 3, p-value = 0.005507
bartlett.test(T_lux$Temp~T_lux$site)    # nn homocedastique)
## 
##  Bartlett test of homogeneity of variances
## 
## data:  T_lux$Temp by T_lux$site
## Bartlett's K-squared = 2.276, df = 3, p-value = 0.5171
bartlett.test(T_lux$Intensité.Lux~T_lux$site) #nn homocedastisue car depend du temps
## 
##  Bartlett test of homogeneity of variances
## 
## data:  T_lux$Intensité.Lux by T_lux$site
## Bartlett's K-squared = 29.71, df = 3, p-value = 1.588e-06
bartlett.test(Turbidité$Total~Turbidité$Dénomination)   #nn homocedastique
## 
##  Bartlett test of homogeneity of variances
## 
## data:  Turbidité$Total by Turbidité$Dénomination
## Bartlett's K-squared = 8.3251, df = 3, p-value = 0.03975
bartlett.test(Turbidité$Turbidité_FTU~Turbidité$Dénomination) #nn homocedastique
## 
##  Bartlett test of homogeneity of variances
## 
## data:  Turbidité$Turbidité_FTU by Turbidité$Dénomination
## Bartlett's K-squared = 6.3587, df = 3, p-value = 0.0954
bartlett.test(Turbidité$cyano~Turbidité$Dénomination)
## 
##  Bartlett test of homogeneity of variances
## 
## data:  Turbidité$cyano by Turbidité$Dénomination
## Bartlett's K-squared = Inf, df = 3, p-value < 2.2e-16
#bartlett.test(Nutriment$amonica~Nutriment$site)
#bartlett.test(Nutriment$N~Nutriment$site)
#bartlett.test(Nutriment$p~Nutriment$site)
#bartlett.test(Nutriment$T.max~Nutriment$site)

anova ? meme pb pas censé faire mais bon car repeition des test

algo
##      Dénomination cyano_.microg.cm2. algues_vertes_.microg.cm2.
## 1       station_1               0.00                       0.03
## 2       station_1               0.00                       0.03
## 3       station_1               0.00                       0.05
## 4       station_1               1.14                       0.00
## 5       station_1               0.00                       0.05
## 6       station_1               0.00                       0.04
## 7       station_1               0.00                       0.04
## 8       station_1               0.00                       0.06
## 9       station_1               0.00                       0.02
## 10      station_1               0.00                       0.04
## 11      station_1               0.01                       0.04
## 12      station_1               0.00                       0.05
## 13      station_1               0.00                       0.02
## 14      station_1               0.00                       0.04
## 15      station_1               0.01                       0.02
## 16      station_1               0.08                       0.00
## 17      station_1               0.00                       0.04
## 18      station_1               0.00                       0.03
## 19      station_1               0.00                       0.19
## 20      station_1               0.01                       0.00
## 21      station_1               0.00                       0.04
## 22      station_4               0.88                       0.00
## 23      station_4               0.05                       0.06
## 24      station_4               0.29                       0.00
## 25      station_4               0.20                       0.00
## 26      station_4               0.21                       0.00
## 27      station_4               0.06                       0.08
## 28      station_4               0.04                       0.18
## 29      station_4               0.55                       0.00
## 30      station_4               0.01                       0.00
## 31      station_4               0.01                       0.06
## 32      station_4               0.01                       0.06
## 33      station_4               0.01                       0.06
## 34      station_4               0.04                       0.01
## 35      station_4               0.14                       0.00
## 36      station_4               0.06                       0.02
## 37 Amont_lac_haut               0.00                       0.02
## 38 Amont_lac_haut               0.00                       0.02
## 39 Amont_lac_haut               0.47                       0.04
## 40 Amont_lac_haut               1.57                       0.00
## 41 Amont_lac_haut               0.26                       0.13
## 42 Amont_lac_haut               0.00                       0.01
## 43 Amont_lac_haut               0.00                       0.01
## 44 Amont_lac_haut               0.00                       0.02
## 45 Amont_lac_haut               0.18                       0.00
## 46 Amont_lac_haut               0.00                       0.02
## 47 Amont_lac_haut               0.13                       0.00
## 48 Amont_lac_haut               0.00                       0.03
## 49 Amont_lac_haut               0.02                       0.04
## 50 Amont_lac_haut               0.01                       0.00
## 51 Amont_lac_haut               0.03                       0.05
## 52 Amont_lac_haut               0.02                       0.01
## 53 Amont_lac_haut               0.03                       0.00
## 54 Amont_lac_haut               0.01                       0.03
## 55 Amont_lac_haut               0.00                       0.03
## 56 Amont_lac_haut               0.54                       0.38
## 57  Aval_lac_haut               0.65                       0.12
## 58  Aval_lac_haut               1.45                       0.00
## 59  Aval_lac_haut               0.47                       0.00
## 60  Aval_lac_haut               0.59                       0.00
## 61  Aval_lac_haut               0.76                       0.00
## 62  Aval_lac_haut               0.11                       0.07
## 63  Aval_lac_haut               0.06                       0.00
## 64  Aval_lac_haut               0.00                       0.00
## 65  Aval_lac_haut               0.01                       0.04
## 66  Aval_lac_haut               0.00                       0.05
## 67  Aval_lac_haut               1.04                       0.00
## 68  Aval_lac_haut               0.03                       0.00
## 69  Aval_lac_haut               0.30                       0.00
## 70  Aval_lac_haut               1.66                       0.00
## 71  Aval_lac_haut               0.70                       0.00
## 72  Aval_lac_haut               0.35                       0.00
## 73  Aval_lac_haut               0.72                       0.00
## 74  Aval_lac_haut               2.05                       0.00
## 75  Aval_lac_haut               0.11                       0.00
## 76  Aval_lac_haut               0.00                       0.06
##    diatomées_.microg.cm2. amont1_aval2
## 1                    0.00            1
## 2                    0.00            1
## 3                    0.03            1
## 4                    1.23            1
## 5                    0.00            1
## 6                    0.00            1
## 7                    0.08            1
## 8                    0.02            1
## 9                    0.00            1
## 10                   0.00            1
## 11                   0.12            1
## 12                   0.00            1
## 13                   0.00            1
## 14                   0.02            1
## 15                   0.09            1
## 16                   0.37            1
## 17                   0.01            1
## 18                   0.08            1
## 19                   0.07            1
## 20                   0.11            1
## 21                   0.02            1
## 22                   1.16            2
## 23                   0.22            2
## 24                   0.29            2
## 25                   0.22            2
## 26                   0.25            2
## 27                   0.06            2
## 28                   0.12            2
## 29                   0.61            2
## 30                   0.09            2
## 31                   0.04            2
## 32                   0.04            2
## 33                   0.07            2
## 34                   0.03            2
## 35                   0.22            2
## 36                   0.26            2
## 37                   0.00            1
## 38                   0.00            1
## 39                   0.99            1
## 40                   0.91            1
## 41                   0.66            1
## 42                   0.00            1
## 43                   0.00            1
## 44                   0.00            1
## 45                   0.12            1
## 46                   0.00            1
## 47                   0.41            1
## 48                   0.02            1
## 49                   0.05            1
## 50                   0.08            1
## 51                   0.03            1
## 52                   0.09            1
## 53                   0.11            1
## 54                   0.04            1
## 55                   0.05            1
## 56                   0.24            1
## 57                   0.66            2
## 58                   0.71            2
## 59                   0.27            2
## 60                   1.57            2
## 61                   0.74            2
## 62                   0.04            2
## 63                   0.14            2
## 64                   0.02            2
## 65                   0.02            2
## 66                   0.00            2
## 67                   1.77            2
## 68                   0.08            2
## 69                   0.35            2
## 70                     NA            2
## 71                   0.48            2
## 72                   0.93            2
## 73                   0.48            2
## 74                   1.31            2
## 75                   0.15            2
## 76                   0.01            2
a=aov(algo$cyano_.microg.cm2.~algo$Dénomination) #sig differences
summary(a)
##                   Df Sum Sq Mean Sq F value  Pr(>F)   
## algo$Dénomination  3  2.832  0.9441   5.921 0.00114 **
## Residuals         72 11.480  0.1594                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
shapiro.test(a$residuals) #normale
## 
##  Shapiro-Wilk normality test
## 
## data:  a$residuals
## W = 0.75379, p-value = 5.814e-10
b=aov(algo$algues_vertes_.microg.cm2.~algo$Dénomination)# pas sig
summary(b)
##                   Df Sum Sq  Mean Sq F value Pr(>F)
## algo$Dénomination  3 0.0077 0.002567   0.833   0.48
## Residuals         72 0.2220 0.003083
shapiro.test(b$residuals)  # normale
## 
##  Shapiro-Wilk normality test
## 
## data:  b$residuals
## W = 0.608, p-value = 6.176e-13
c=aov(algo$diatomées_.microg.cm2.~algo$Dénomination) # sig differences
summary(c) # normale
##                   Df Sum Sq Mean Sq F value  Pr(>F)   
## algo$Dénomination  3  1.799  0.5998   4.319 0.00744 **
## Residuals         71  9.860  0.1389                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 1 observation effacée parce que manquante
d=aov(Turbidité$cyano~Turbidité$Dénomination) #pas sig
summary(d)
##                        Df Sum Sq Mean Sq F value Pr(>F)
## Turbidité$Dénomination  3   1566   521.8   2.167  0.162
## Residuals               9   2167   240.8
shapiro.test(c$residuals)  
## 
##  Shapiro-Wilk normality test
## 
## data:  c$residuals
## W = 0.79507, p-value = 7.726e-09
kruskal.test(T_lux$Temp~T_lux$site) #sig differneces
## 
##  Kruskal-Wallis rank sum test
## 
## data:  T_lux$Temp by T_lux$site
## Kruskal-Wallis chi-squared = 45.102, df = 3, p-value = 8.801e-10
kruskal.test(T_lux$Intensité.Lux~T_lux$site) #sig differneces
## 
##  Kruskal-Wallis rank sum test
## 
## data:  T_lux$Intensité.Lux by T_lux$site
## Kruskal-Wallis chi-squared = 13.407, df = 3, p-value = 0.003834
kruskal.test(Turbidité$Total~Turbidité$Dénomination)    # pas sig à voir si regroupement en grouep
## 
##  Kruskal-Wallis rank sum test
## 
## data:  Turbidité$Total by Turbidité$Dénomination
## Kruskal-Wallis chi-squared = 6.4738, df = 3, p-value = 0.0907
kruskal.test(Turbidité$Turbidité_FTU~Turbidité$Dénomination) # pas sig a voir si regroupent en groupe
## 
##  Kruskal-Wallis rank sum test
## 
## data:  Turbidité$Turbidité_FTU by Turbidité$Dénomination
## Kruskal-Wallis chi-squared = 5.0495, df = 3, p-value = 0.1682

On recapitules on a observer des differences entres les sites pour les VA suivantes quis seront donc les VA les plus interessantes ACP lumière, température, cyano, diatomé,

les donnes de nutriments sont trop peux pour faire comparaison

#verifier la Coorrelation des VA selectione

#TT_lux=T_lux[,-1] ;TT_lux
#aalgo=algo[,-1] ; aalgo

#cor(TT_lux) ; cor(aalgo) 
#cor(TT_lux~aalgo)
cor(T_lux$Temp,T_lux$Intensité.Lux, use = "complete.obs" )
## [1] 0.1396885
cor(T_lux$Temp,sample(algo$cyano_.microg.cm2.,208,replace=T), use = "complete.obs")
## [1] -0.04015797
cor(T_lux$Temp,sample(algo$diatomées_.microg.cm2.,208,replace=T),use = "complete.obs")
## [1] 0.04569404
cor(T_lux$Intensité.Lux,sample(algo$cyano_.microg.cm2.,208,replace=T), use = "complete.obs")
## [1] 0.06156509
cor(T_lux$Intensité.Lux,sample(algo$diatomées_.microg.cm2.,208,replace=T),use = "complete.obs")
## [1] 0.1321546
cor(algo$cyano_.microg.cm2.,algo$diatomées_.microg.cm2.,use = "complete.obs")
## [1] 0.8185005
cor(algo$cyano_.microg.cm2.,algo$algues_vertes_.microg.cm2.,use = "complete.obs")
## [1] -0.1326688
cor(algo$algues_vertes_.microg.cm2.,algo$diatomées_.microg.cm2.,use = "complete.obs")
## [1] -0.1635825
# aucune correlation qui n'est supérieur a 0.2

realison l’ACP il nous faut des lignes de meme taille en gardan les categorie

T_lux$cyano=c(sample(algo[37:56,2],48,replace=T),sample(algo[57:76,2],50,replace=T),sample(algo[1:21,2],55,replace=T),sample(algo[22:36,2],55,replace=T))

T_lux$diatome=c(sample(algo[37:56,4],48,replace=T),sample(algo[57:76,4],50,replace=T),sample(algo[1:21,4],55,replace=T),sample(algo[22:36,4],55,replace=T))
T_lux
##       site   Temp Intensité.Lux cyano diatome
## 1   amont1 17.475            NA  0.00    0.08
## 2   amont1     NA            NA  0.03    0.03
## 3   amont1 13.942         193.8  0.02    0.41
## 4   amont1 13.942         161.5  0.47    0.00
## 5   amont1 13.942         269.1  0.47    0.02
## 6   amont1 13.942          32.3  0.18    0.00
## 7   amont1 13.942          21.5  0.00    0.00
## 8   amont1 13.942            NA  0.03    0.12
## 9   amont1 13.846            NA  0.00    0.00
## 10  amont1 13.750            NA  0.00    0.11
## 11  amont1 13.750            NA  1.57    0.99
## 12  amont1 13.750            NA  0.00    0.02
## 13  amont1 13.654            NA  0.00    0.00
## 14  amont1 13.558            NA  0.54    0.00
## 15  amont1 13.558            NA  0.54    0.00
## 16  amont1 13.461            NA  0.02    0.99
## 17  amont1 13.461            NA  0.26    0.05
## 18  amont1 13.365            NA  0.00    0.00
## 19  amont1 13.365            NA  0.00    0.04
## 20  amont1 13.365            NA  0.03    0.00
## 21  amont1 13.269            NA  0.01    0.99
## 22  amont1 13.269            NA  0.03    0.41
## 23  amont1 13.269            NA  0.00    0.00
## 24  amont1 13.269            NA  0.00    0.66
## 25  amont1 13.269            NA  0.26    0.00
## 26  amont1 13.269            NA  0.00    0.00
## 27  amont1 13.173            NA  0.00    0.24
## 28  amont1 13.173            NA  0.00    0.00
## 29  amont1 13.173            NA  0.00    0.12
## 30  amont1 13.173            NA  0.54    0.00
## 31  amont1 13.173            NA  0.00    0.03
## 32  amont1 13.173            NA  0.26    0.11
## 33  amont1 13.173            NA  0.00    0.66
## 34  amont1 13.173            NA  0.00    0.00
## 35  amont1 13.173          43.1  0.00    0.41
## 36  amont1 13.173         118.4  0.02    0.04
## 37  amont1 13.173         161.5  0.00    0.03
## 38  amont1 13.269         462.9  0.18    0.08
## 39  amont1 13.269         258.3  0.00    0.05
## 40  amont1 13.365         376.7  0.13    0.00
## 41  amont1 13.365         183.0  0.01    0.41
## 42  amont1 13.461         473.6  0.13    0.05
## 43  amont1 13.558         387.5  0.47    0.00
## 44  amont1 13.654         344.4  1.57    0.41
## 45  amont1 13.654         279.9  0.03    0.00
## 46  amont1 13.750         656.6  0.00    0.41
## 47  amont1 17.379            NA  0.00    0.04
## 48  amont1 15.760         193.8  0.03    0.00
## 49   aval1 17.570            NA  0.70    1.31
## 50   aval1 15.091         150.7  0.01    0.01
## 51   aval1 15.091          53.8  2.05    0.02
## 52   aval1 14.996         215.3  1.45    0.14
## 53   aval1 14.996            NA  0.00    0.04
## 54   aval1 14.996            NA  1.45    0.71
## 55   aval1 14.900            NA  0.30    1.77
## 56   aval1 14.709            NA  2.05    0.14
## 57   aval1 14.709            NA  0.06    0.15
## 58   aval1 14.709            NA  0.72    0.27
## 59   aval1 14.709            NA  0.01    0.14
## 60   aval1 14.613            NA  0.30    0.00
## 61   aval1 14.421            NA  0.65    0.15
## 62   aval1 14.325            NA  0.59    0.02
## 63   aval1 14.230            NA  0.11    0.27
## 64   aval1 14.038            NA  2.05    0.71
## 65   aval1 13.942            NA  0.00    0.66
## 66   aval1 13.846            NA  1.04    0.74
## 67   aval1 13.846            NA  0.03    0.01
## 68   aval1 13.846            NA  0.59    0.71
## 69   aval1 13.750            NA  0.00    0.00
## 70   aval1 13.750            NA  0.11    0.02
## 71   aval1 13.654            NA  0.06      NA
## 72   aval1 13.654            NA  1.45    0.04
## 73   aval1 13.654            NA  1.45    0.48
## 74   aval1 13.558            NA  0.47    0.35
## 75   aval1 13.558            NA  0.11    0.48
## 76   aval1 13.558            NA  0.03    0.02
## 77   aval1 13.461            NA  0.00    0.02
## 78   aval1 13.461            NA  0.47    0.48
## 79   aval1 13.461            NA  0.72    1.31
## 80   aval1 13.365            NA  0.06    0.15
## 81   aval1 13.365            NA  0.47    0.01
## 82   aval1 13.365            NA  0.00    0.01
## 83   aval1 13.365          10.8  0.11    0.14
## 84   aval1 13.365          21.5  0.30    0.02
## 85   aval1 13.365          53.8  0.30    1.77
## 86   aval1 13.461          53.8  0.00    0.48
## 87   aval1 13.461         344.4  0.03      NA
## 88   aval1 13.558          86.1  0.11    0.48
## 89   aval1 13.750         441.3  0.06    0.48
## 90   aval1 13.846         409.0  0.30    0.08
## 91   aval1 14.038         236.8  0.00    0.14
## 92   aval1 14.134         193.8  1.66    0.04
## 93   aval1 14.325         247.6  0.35    0.48
## 94   aval1 14.421          53.8  1.04    0.48
## 95   aval1 15.569          21.5  0.76    0.74
## 96   aval1 19.662          32.3  1.04    0.02
## 97  amont2 16.999            NA  0.59    0.35
## 98  amont2 15.760         495.1  1.45    1.57
## 99  amont2 15.282         279.9  0.00    0.11
## 100 amont2 15.282         495.1  0.00    0.00
## 101 amont2 19.092        1894.5  0.00    0.08
## 102 amont2 13.942          75.3  0.00    0.00
## 103 amont2 14.134          53.8  0.00    0.00
## 104 amont2 14.230          43.1  0.01    0.12
## 105 amont2 14.325          53.8  1.14    0.02
## 106 amont2 14.517          75.3  0.00    0.02
## 107 amont2 14.613          53.8  0.00    0.00
## 108 amont2 14.709          53.8  0.00    0.09
## 109 amont2 14.804          10.8  0.00    0.01
## 110 amont2 14.804            NA  0.00    0.00
## 111 amont2 14.804            NA  0.00    0.03
## 112 amont2 14.804            NA  0.00    0.00
## 113 amont2 14.709            NA  0.00    0.37
## 114 amont2 14.613            NA  0.00    0.02
## 115 amont2 14.517            NA  0.01    0.09
## 116 amont2 14.517            NA  0.00    0.00
## 117 amont2 14.421            NA  0.01    0.08
## 118 amont2 14.421            NA  0.00    0.00
## 119 amont2 14.325            NA  0.00    0.08
## 120 amont2 14.230            NA  0.00    0.08
## 121 amont2 14.134            NA  0.00    0.01
## 122 amont2 14.038            NA  0.00    0.00
## 123 amont2 13.942            NA  0.08    0.37
## 124 amont2 13.846            NA  0.00    0.00
## 125 amont2 13.846            NA  0.00    0.09
## 126 amont2 13.846            NA  0.01    0.00
## 127 amont2 13.846            NA  0.00    0.02
## 128 amont2 13.750            NA  0.00    0.00
## 129 amont2 13.750            NA  0.00    0.01
## 130 amont2 13.654            NA  0.00    1.23
## 131 amont2 13.654            NA  0.00    0.12
## 132 amont2 13.654            NA  0.00    0.00
## 133 amont2 13.654            NA  0.01    0.00
## 134 amont2 13.558            NA  0.08    0.09
## 135 amont2 13.558            NA  0.00    0.11
## 136 amont2 13.558            NA  0.00    0.00
## 137 amont2 13.558            NA  0.00    0.37
## 138 amont2 13.461            NA  0.00    0.00
## 139 amont2 13.461            NA  0.00    0.07
## 140 amont2 13.461            NA  0.01    0.00
## 141 amont2 13.461            NA  0.00    0.00
## 142 amont2 13.558            NA  0.00    0.00
## 143 amont2 13.558          21.5  0.00    1.23
## 144 amont2 13.558          10.8  0.00    0.02
## 145 amont2 13.654          32.3  0.08    0.37
## 146 amont2 13.654          43.1  0.01    0.00
## 147 amont2 13.750          32.3  0.00    0.02
## 148 amont2 13.846          53.8  0.00    0.02
## 149 amont2 13.942            NA  0.00    0.01
## 150 amont2 14.038          53.8  0.00    0.02
## 151 amont2 15.569          86.1  0.00    0.00
## 152 amont2 15.664         441.3  0.00    0.37
## 153  aval2 16.903            NA  0.01    0.02
## 154  aval2 15.760         527.4  0.01    0.06
## 155  aval2 15.282         193.8  0.55    0.06
## 156  aval2 15.282         344.4  0.21    0.12
## 157  aval2 17.665            NA  0.29    0.22
## 158  aval2 17.570          10.8  0.04    0.22
## 159  aval2 13.654         269.1  0.14    0.22
## 160  aval2 13.654         236.8  0.04    0.26
## 161  aval2 13.654         344.4  0.06    0.25
## 162  aval2 13.654         150.7  0.55    0.25
## 163  aval2 13.654          86.1  0.06    0.04
## 164  aval2 13.654          86.1  0.04    0.04
## 165  aval2 13.654          32.3  0.20    0.06
## 166  aval2 13.654            NA  0.04    0.26
## 167  aval2 13.654            NA  0.14    0.04
## 168  aval2 13.558            NA  0.06    0.22
## 169  aval2 13.558            NA  0.04    0.61
## 170  aval2 13.558            NA  0.01    0.26
## 171  aval2 13.558            NA  0.20    0.26
## 172  aval2 13.558            NA  0.01    0.25
## 173  aval2 13.461            NA  0.01    0.22
## 174  aval2 13.461            NA  0.06    0.22
## 175  aval2 13.461            NA  0.14    0.09
## 176  aval2 13.461            NA  0.01    0.26
## 177  aval2 13.461            NA  0.01    0.29
## 178  aval2 13.461            NA  0.20    0.25
## 179  aval2 13.461            NA  0.06    0.12
## 180  aval2 13.461            NA  0.06    0.22
## 181  aval2 13.461            NA  0.04    0.04
## 182  aval2 13.461            NA  0.06    0.03
## 183  aval2 13.461            NA  0.55    0.09
## 184  aval2 13.461            NA  0.29    0.61
## 185  aval2 13.461            NA  0.29    1.16
## 186  aval2 13.461            NA  0.01    0.12
## 187  aval2 13.461            NA  0.04    0.25
## 188  aval2 13.461            NA  0.20    0.03
## 189  aval2 13.461            NA  0.04    0.07
## 190  aval2 13.461            NA  0.29    0.04
## 191  aval2 13.461            NA  0.21    0.06
## 192  aval2 13.461            NA  0.06    0.07
## 193  aval2 13.461            NA  0.29    0.07
## 194  aval2 13.461          10.8  0.01    0.03
## 195  aval2 13.461          75.3  0.01    0.04
## 196  aval2 13.461         183.0  0.01    0.04
## 197  aval2 13.558         355.2  0.06    0.03
## 198  aval2 13.558         452.1  0.04    0.03
## 199  aval2 13.558         818.1  0.88    0.09
## 200  aval2 13.558         914.9  0.01    0.61
## 201  aval2 13.654        1377.8  0.88    1.16
## 202  aval2 13.654         581.3  0.88    0.22
## 203  aval2 13.654        1130.2  0.06    0.07
## 204  aval2 13.654        1087.2  0.05    1.16
## 205  aval2 13.654         301.4  0.01    1.16
## 206  aval2 13.750        1463.9  0.01    0.22
## 207  aval2 13.750         516.7  0.20    0.61
## 208  aval2 16.046         322.9  0.04    0.29
acp=PCA(T_lux[,-1])
## Warning in PCA(T_lux[, -1]): Missing values are imputed by the mean of the
## variable: you should use the imputePCA function of the missMDA package

acp$eig # obtention des valeurs propres
##        eigenvalue percentage of variance cumulative percentage of variance
## comp 1  1.3573097               33.93274                          33.93274
## comp 2  0.9984962               24.96240                          58.89515
## comp 3  0.9802122               24.50530                          83.40045
## comp 4  0.6639819               16.59955                         100.00000
acp$var # résultats liés aux variables
## $coord
##                   Dim.1      Dim.2      Dim.3      Dim.4
## Temp          0.4701892  0.4306222  0.7063567  0.3074848
## Intensité.Lux 0.4104489  0.7368730 -0.4592880 -0.2785755
## cyano         0.7085099 -0.4261887  0.2410574 -0.5082009
## diatome       0.6824787 -0.2973920 -0.4606716  0.4832830
## 
## $cor
##                   Dim.1      Dim.2      Dim.3      Dim.4
## Temp          0.4701892  0.4306222  0.7063567  0.3074848
## Intensité.Lux 0.4104489  0.7368730 -0.4592880 -0.2785755
## cyano         0.7085099 -0.4261887  0.2410574 -0.5082009
## diatome       0.6824787 -0.2973920 -0.4606716  0.4832830
## 
## $cos2
##                   Dim.1     Dim.2      Dim.3      Dim.4
## Temp          0.2210779 0.1854355 0.49893972 0.09454693
## Intensité.Lux 0.1684683 0.5429819 0.21094547 0.07760433
## cyano         0.5019863 0.1816368 0.05810869 0.25826816
## diatome       0.4657772 0.0884420 0.21221832 0.23356248
## 
## $contrib
##                  Dim.1    Dim.2     Dim.3    Dim.4
## Temp          16.28795 18.57148 50.901195 14.23938
## Intensité.Lux 12.41193 54.37996 21.520389 11.68772
## cyano         36.98392 18.19104  5.928174 38.89687
## diatome       34.31621  8.85752 21.650243 35.17603
acp$var$coord # coordonnées des variables
##                   Dim.1      Dim.2      Dim.3      Dim.4
## Temp          0.4701892  0.4306222  0.7063567  0.3074848
## Intensité.Lux 0.4104489  0.7368730 -0.4592880 -0.2785755
## cyano         0.7085099 -0.4261887  0.2410574 -0.5082009
## diatome       0.6824787 -0.2973920 -0.4606716  0.4832830
site=as.factor(T_lux$site) # Selection de la colonne Region
#site

fviz_pca_ind(acp, habillage=site, addEllipses=TRUE, palette = "Set1",
             pointsize = 1,)

101 is out yer ?

fviz_pca_ind(acp, habillage=site, addEllipses=TRUE, palette = "Set1",
             pointsize = 1, xlim=c(-1.5,0.5), ylim=c(-1.1,1))

on pourrait essayer de rajouter la turbitié, mais on ne peut pas exploité les donnes de nutriment qui sont trop similaire et peu assez nombreuse

classification

T_luxn=T_lux[-101,]
acp=PCA(T_luxn[,-1])
## Warning in PCA(T_luxn[, -1]): Missing values are imputed by the mean of the
## variable: you should use the imputePCA function of the missMDA package

acp$eig # obtention des valeurs propres
##        eigenvalue percentage of variance cumulative percentage of variance
## comp 1  1.3569086               33.92272                          33.92272
## comp 2  1.1464309               28.66077                          62.58349
## comp 3  0.8082510               20.20627                          82.78976
## comp 4  0.6884095               17.21024                         100.00000
acp$var # résultats liés aux variables
## $coord
##                   Dim.1      Dim.2      Dim.3      Dim.4
## Temp          0.3640021 -0.7084094  0.5558851  0.2380134
## Intensité.Lux 0.3532936  0.7057842  0.5869699 -0.1803292
## cyano         0.7471244 -0.2626869 -0.2466419 -0.5585414
## diatome       0.7357988  0.2783006 -0.3063934  0.5359776
## 
## $cor
##                   Dim.1      Dim.2      Dim.3      Dim.4
## Temp          0.3640021 -0.7084094  0.5558851  0.2380134
## Intensité.Lux 0.3532936  0.7057842  0.5869699 -0.1803292
## cyano         0.7471244 -0.2626869 -0.2466419 -0.5585414
## diatome       0.7357988  0.2783006 -0.3063934  0.5359776
## 
## $cos2
##                   Dim.1      Dim.2      Dim.3      Dim.4
## Temp          0.1324975 0.50184390 0.30900820 0.05665038
## Intensité.Lux 0.1248164 0.49813136 0.34453365 0.03251862
## cyano         0.5581949 0.06900443 0.06083221 0.31196847
## diatome       0.5413999 0.07745125 0.09387689 0.28727199
## 
## $contrib
##                   Dim.1     Dim.2     Dim.3     Dim.4
## Temp           9.764660 43.774456 38.231715  8.229169
## Intensité.Lux  9.198583 43.450621 42.627064  4.723732
## cyano         41.137249  6.019066  7.526402 45.317284
## diatome       39.899508  6.755858 11.614819 41.729815
acp$var$coord # coordonnées des variables
##                   Dim.1      Dim.2      Dim.3      Dim.4
## Temp          0.3640021 -0.7084094  0.5558851  0.2380134
## Intensité.Lux 0.3532936  0.7057842  0.5869699 -0.1803292
## cyano         0.7471244 -0.2626869 -0.2466419 -0.5585414
## diatome       0.7357988  0.2783006 -0.3063934  0.5359776
site=as.factor(T_luxn$site) # Selection de la colonne Region
#site

fviz_pca_ind(acp, habillage=site, addEllipses=TRUE, palette = "Set1",
             pointsize = 1,)

fviz_pca_ind(acp, habillage=site, addEllipses=TRUE, palette = "Set1",
             pointsize = 1,axes=c(1,3))

fviz_pca_ind(acp, habillage=site, addEllipses=TRUE, palette = "Set1",
             pointsize = 1,axes=c(1,4))

acp$ind$coord
##           Dim.1       Dim.2        Dim.3        Dim.4
## 1    0.52394316 -2.37315671  2.525658017  1.120720025
## 2   -0.65241869 -0.03563256  0.319220596 -0.059555439
## 3   -0.10605216  0.05138709 -0.347659457  0.736655442
## 4   -0.22256431 -0.63719181 -0.347405909 -0.725103632
## 5   -0.01254870 -0.24572648  0.005401706 -0.811456350
## 6   -0.87609892 -0.91855385 -0.604312336 -0.108389642
## 7   -1.17008345 -0.85051685 -0.523406800  0.194383499
## 8   -0.50857333  0.07949016  0.185911228  0.089867234
## 9   -0.80727208  0.07236725  0.263062719 -0.116795100
## 10  -0.63574060  0.22213381  0.091661097  0.061903952
## 11   3.39963928 -0.03298503 -1.815844867 -0.810774031
## 12  -0.80170417  0.15384190  0.181204834 -0.107823548
## 13  -0.86989784  0.20496460  0.139144166 -0.174286441
## 14  -0.07139065 -0.04615422 -0.277759243 -1.073992184
## 15  -0.07139065 -0.04615422 -0.277759243 -1.073992184
## 16   0.92348353  1.07770734 -0.983546983  1.602667507
## 17  -0.44110480  0.22336186 -0.206065343 -0.557135306
## 18  -0.96416265  0.40455122 -0.047379072 -0.260822887
## 19  -0.89040107  0.43490318 -0.087176289 -0.185388442
## 20  -0.91806154  0.38691691 -0.067098191 -0.309209558
## 21   0.84549073  1.21618278 -1.100892496  1.561305056
## 22  -0.19331817  0.76432317 -0.536978936  0.435247829
## 23  -0.99547553  0.47084989 -0.109338349 -0.289568558
## 24   0.22159062  0.97165722 -0.765992420  0.955099778
## 25  -0.59593254  0.31801925 -0.280237376 -0.708919703
## 26  -0.99547553  0.47084989 -0.109338349 -0.289568558
## 27  -0.58421890  0.71926032 -0.410080924  0.134292439
## 28  -1.02678841  0.53714856 -0.171297625 -0.318314228
## 29  -0.80550366  0.62820444 -0.290689274 -0.092010895
## 30  -0.19696834  0.21973108 -0.526241758 -1.189274300
## 31  -0.97146722  0.55991253 -0.201145537 -0.261738395
## 32  -0.42440106  0.46778581 -0.451638997 -0.530220651
## 33   0.19027774  1.03795589 -0.827951697  0.926354107
## 34  -1.02678841  0.53714856 -0.171297625 -0.318314228
## 35  -0.63010073  0.06720835 -1.352829540  0.712415524
## 36  -1.16049912  0.03802913 -0.737026287 -0.104436766
## 37  -1.14032313  0.19292291 -0.564640585 -0.140734757
## 38  -0.25523101  1.11278819  0.373250542 -0.655550255
## 39  -0.91637249  0.48032075 -0.187282869 -0.185888688
## 40  -0.58697743  0.71372498  0.249088813 -0.597634703
## 41  -0.32700049  0.41797901 -0.750896660  0.592463991
## 42  -0.30754470  1.02423650  0.596944999 -0.586328107
## 43   0.01583165  0.41835039  0.187578607 -1.100679311
## 44   2.42422451 -0.13415743 -1.030708249 -2.023211348
## 45  -0.80213997  0.23439884  0.166045398 -0.238192531
## 46   0.54526079  1.81420450  1.144620487  0.177782770
## 47   0.41886870 -2.33721000  2.503495957  1.016539910
## 48  -0.25375371 -1.52112967  1.227042770  0.491694632
## 49   3.89879128 -1.91690913  0.903094712  2.339753117
## 50  -0.55360949 -1.19049219  0.649170519  0.392186791
## 51   2.44378884 -2.72090716 -1.037322273 -2.767516072
## 52   1.97192772 -1.64677339 -0.264239704 -1.788145779
## 53  -0.35840829 -0.69148361  0.965486001  0.302988524
## 54   3.10531880 -1.03541302 -0.654208102 -0.772173611
## 55   3.26147852  0.51119425 -1.014894073  3.052915875
## 56   2.88262606 -1.62240914 -0.666712557 -2.900785437
## 57  -0.15697417 -0.44507893  0.631372999  0.327722327
## 58   1.07853511 -0.74197776  0.078160742 -0.510481093
## 59  -0.25224976 -0.42327642  0.674187501  0.389508167
## 60  -0.09608407 -0.63367455  0.560900336 -0.370995876
## 61   0.65574245 -0.59299091  0.057685839 -0.710119207
## 62   0.29250219 -0.59006750  0.164505753 -0.887253482
## 63  -0.01509244 -0.05261082  0.169965179  0.329952291
## 64   3.71486466 -0.72649363 -1.666892418 -2.026764862
## 65   0.44110695  0.50687591 -0.331632076  1.156618906
## 66   2.15548922  0.02255594 -1.156781894 -0.398662458
## 67  -0.74273057  0.06232094  0.233394296 -0.146323159
## 68   1.40865131  0.26430654 -0.831147204  0.270561769
## 69  -0.83858496  0.13866592  0.201103443 -0.145540771
## 70  -0.63266674  0.08918279  0.108901400 -0.285241341
## 71  -0.36319148  0.34025919 -0.123935014  0.152844999
## 72   1.43208430 -0.61700817 -0.853743778 -2.437541078
## 73   2.24346173 -0.28313662 -1.291513159 -1.607762188
## 74   0.46645395  0.26057214 -0.579973611 -0.301038562
## 75   0.15296572  0.57082766 -0.472685142  0.524763431
## 76  -0.81822881  0.26880494  0.037567163 -0.213701560
## 77  -0.89596898  0.35342853 -0.005318404 -0.194359994
## 78   0.67454005  0.42620529 -0.771919250 -0.084921722
## 79   2.58926889  0.90905590 -1.762037479  1.077120748
## 80  -0.59535448  0.48310246 -0.236056871 -0.074717061
## 81  -0.22347146  0.13586844 -0.366261233 -1.000022116
## 82  -0.94572226  0.41213921 -0.057328376 -0.241964276
## 83  -0.94830087 -0.44788058 -1.144464354  0.120550615
## 84  -0.86039496 -0.61320128 -1.112897661 -0.424539443
## 85   2.41864700  0.82765369 -2.742144739  2.838473464
## 86  -0.38986238 -0.04115262 -1.199534046  0.918325003
## 87  -0.34680344  0.76381378  0.041256398  0.053548695
## 88  -0.13721328 -0.05984427 -1.097351652  0.732708272
## 89   0.42011526  1.07912340  0.289778293  0.461274894
## 90   0.03064858  0.45527395  0.480075643 -0.614173203
## 91  -0.53417449 -0.05765525  0.145021046  0.238894538
## 92   1.79447322 -1.32597453 -0.933595130 -2.548759825
## 93   0.74163563 -0.16583373 -0.200670081  0.389060621
## 94   1.52143840 -1.31546189 -1.263537390 -0.471622873
## 95   1.89308885 -1.85936567 -0.709125654  0.851304297
## 96   2.34807289 -5.35919042  2.502247878  0.255005895
## 97   1.77322943 -2.18635807  1.562002729  0.535767386
## 98   5.30831759 -0.11082557 -0.224722885  0.814775277
## 99  -0.11438248 -0.78881393  1.127048234  0.505117526
## 100  0.02904278 -0.11970311  1.981903026  0.049532923
## 102 -1.08351604 -0.66237217 -0.337053689  0.132348529
## 103 -1.05548507 -0.87015744 -0.287607104  0.214630797
## 104 -0.80473733 -0.88869744 -0.388675310  0.465888721
## 105  0.79553767 -1.65699177 -0.933559072 -1.529153559
## 106 -0.85908415 -1.04429761  0.014157953  0.342240341
## 107 -0.89924685 -1.20096018  0.021543869  0.358059716
## 108 -0.70197040 -1.19896695 -0.006040592  0.556532887
## 109 -0.88769643 -1.47565478 -0.014076228  0.483692087
## 110 -0.49479564 -0.58923823  0.881364665  0.170062738
## 111 -0.43947445 -0.56647426  0.851516753  0.226638571
## 112 -0.49479564 -0.58923823  0.881364665  0.170062738
## 113  0.15651232 -0.24287455  0.451926545  0.839385114
## 114 -0.52021443 -0.44215552  0.738192913  0.150588053
## 115 -0.40707750 -0.32861902  0.600015468  0.237723770
## 116 -0.58840810 -0.39103283  0.696132245  0.084125160
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## 206  1.50925412  4.48737385  4.123420045 -1.127530205
## 207  0.99630204  1.35915616  0.329586248  0.393691172
## 208  0.59740069 -1.05299358  1.563705113  0.959242741
acp2_CAH=as.data.frame(acp$ind$coord[,1:2])
#class=HCPC(acp2_CAH) #réalisation de la CAH sur les 2 axes retenus
#ATTENTION : pour finir la fonction R demande de choisir  un nombre de groupe surle graphique. Le faire au hasard !
#plot(class$call$t$inert.gain,type="s") #realisation de la distance d'aggregation cumulee

faire 4 cluster

class2=HCPC(acp2_CAH,nb.clust=4)  

fviz_pca_ind(acp, addEllipse=T, habillage = class2$data.clust$clust)

fviz_dend(class2) 
## Warning: The `<scale>` argument of `guides()` cannot be `FALSE`. Use "none" instead as
## of ggplot2 3.3.4.
## ℹ The deprecated feature was likely used in the factoextra package.
##   Please report the issue at <https://github.com/kassambara/factoextra/issues>.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.

refaire sans valeur 101 voir si il y a correspondances des sites avec les custer

faire des regression lienaire entres VA environnementale et Nb de indidivue par guilde par site pour cela il faut s’assurer que ’il y a de la variabilité et peut etre meme qu’il y a des correlation interesates. Il a t’il des tendances de regroupment ?

plot(algo$cyano_.microg.cm2.~algo$Dénomination) 

# legère tendance a l'augmenation apres la retenue coliniare
plot(algo$diatomées_.microg.cm2.~algo$Dénomination) 
plot(algo$diatomées_.microg.cm2.~algo$Dénomination) # meme tendance encore plus legères

# tester differences algues entres les site avant apres
plot(algo$cyano_.microg.cm2.~algo$amont1_aval2)

shapiro.test(algo$cyano_.microg.cm2.) #normale
## 
##  Shapiro-Wilk normality test
## 
## data:  algo$cyano_.microg.cm2.
## W = 0.61767, p-value = 9.154e-13
qqnorm(sort(algo$cyano_.microg.cm2.)) # pas tres normale

t.test(algo$cyano_.microg.cm2.~algo$amont1_aval2) # sigficative differentes
## 
##  Welch Two Sample t-test
## 
## data:  algo$cyano_.microg.cm2. by algo$amont1_aval2
## t = -2.8041, df = 54.332, p-value = 0.006985
## alternative hypothesis: true difference in means between group 1 and group 2 is not equal to 0
## 95 percent confidence interval:
##  -0.47828167 -0.07951624
## sample estimates:
## mean in group 1 mean in group 2 
##       0.1102439       0.3891429
qqnorm(algo$diatomées_.microg.cm2.) # une valeur chelou

boxplot(algo$diatomées_.microg.cm2.) # outiler, mieux sans 

boxplot(algo$cyano_.microg.cm2.)

t.test(algo$diatomées_.microg.cm2.~algo$amont1_aval2) # signifiactiv differences
## 
##  Welch Two Sample t-test
## 
## data:  algo$diatomées_.microg.cm2. by algo$amont1_aval2
## t = -2.6863, df = 52.833, p-value = 0.009636
## alternative hypothesis: true difference in means between group 1 and group 2 is not equal to 0
## 95 percent confidence interval:
##  -0.43117926 -0.06252232
## sample estimates:
## mean in group 1 mean in group 2 
##       0.1475610       0.3944118
plot(T_lux$Temp~T_lux$site) # pas de tendance entre amont et aval mais plus les echantillon pris au centre sont dans des entdoirs moins couvert

plot(T_lux$Intensité.Lux~T_lux$site) # meme tendances , les volumes d' eau les moins couvert (aval 1 et amon1) sont les plus frais, les volumes  d'eau les plus courvert âr la vegetation, la vegetation faitun tempon de temperature )

il y ’ t’il des valeurs signfiactif differences entres les regroupment couvert et ouvert que l’on a fait Température et Lux ne sont pas des VA normae car elle sont cyclique donc on utilise directement un teste non paramètrique

#wilcox.test(T_lux$Temp~T_lux$couvert.ouvert)
#wilcox.test(T_lux$Intensité.Lux~T_lux$couvert.ouvert, use = "complete.obs")
# les deux sont signfiactif donc le regroupemment est justifier. on pourrait aussi passer par classification 

vis a vis des VA non utilisé onbserve t’on des tendances ?

Nutriment$site=as.factor(Nutriment$site)
Turbidité$Dénomination=as.factor(Turbidité$Dénomination)
# Atention tendances car pas vraiment trop peu de valeur
plot(Nutriment$amonica~Nutriment$site) # plus présent apres retenue

plot(Nutriment$N~Nutriment$site) # effet stabilisateur des retenue sur cours

plot(Nutriment$p~Nutriment$site) #pas d'effet

plot(Turbidité$cyano~Turbidité$Dénomination) # semble plus importante ap retenue sur cous

plot(Turbidité$Total~Turbidité$Dénomination) #augmentation ap retenue sur cours

plot(Turbidité$Turbidité_FTU~Turbidité$Dénomination) # effet stabilisateur, moins de variabilité ap retenur sur cour d'eau.

# pas vraiment d'ineteret de regouper pour ensuite rajouter dans ACP, interet de rerouper pour faires des test de differences de moyennes ou de variances oui