setwd("G:/Mi unidad/Agrosavia/FeCa/Fenoma/Análisis/Carbono")
carbon<-read.table("carbonf.csv", header=T, sep=';')
library(lme4)
## Cargando paquete requerido: Matrix
library(lmerTest)   # p-values
## Warning: package 'lmerTest' was built under R version 4.4.3
## 
## Adjuntando el paquete: 'lmerTest'
## The following object is masked from 'package:lme4':
## 
##     lmer
## The following object is masked from 'package:stats':
## 
##     step
library(emmeans)    # post hoc
## Welcome to emmeans.
## Caution: You lose important information if you filter this package's results.
## See '? untidy'
carbon$gen <- factor(carbon$gen)
carbon$municipio  <- factor(carbon$municipio)
carbon$reg  <- factor(carbon$reg)

# Centrar estrés (muy importante para interpretar interceptos)
carbon$Estres_c <- scale(carbon$E, scale = FALSE)
### CO2 eq
##modelo_tasa estrés
modelo_tasa <- lmer(total_alt_co2 ~ Estres_c * gen +
                 (1 | municipio),
               data = carbon)
anova(modelo_tasa, type = 3)
## Type III Analysis of Variance Table with Satterthwaite's method
##               Sum Sq Mean Sq NumDF   DenDF F value  Pr(>F)  
## Estres_c      26.025  26.025     1   7.999  1.7857 0.21822  
## gen          220.321  31.474     7 284.098  2.1596 0.03787 *
## Estres_c:gen  91.096  13.014     7 284.047  0.8929 0.51237  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(modelo_tasa)
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: total_alt_co2 ~ Estres_c * gen + (1 | municipio)
##    Data: carbon
## 
## REML criterion at convergence: 1654
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.8155 -0.4777 -0.0568  0.4153  4.0252 
## 
## Random effects:
##  Groups    Name        Variance Std.Dev.
##  municipio (Intercept) 20.43    4.520   
##  Residual              14.57    3.818   
## Number of obs: 308, groups:  municipio, 10
## 
## Fixed effects:
##                    Estimate Std. Error       df t value Pr(>|t|)    
## (Intercept)          7.7306     1.5521  10.6100   4.981 0.000463 ***
## Estres_c            26.3451    27.0706  10.6100   0.973 0.352119    
## genCNCH13            1.3937     0.8539 284.0123   1.632 0.103740    
## genFBO1              0.1494     0.8539 284.0123   0.175 0.861241    
## genFCHI8            -0.2085     0.9177 284.2789  -0.227 0.820428    
## genFEAR5             1.8863     0.8539 284.0123   2.209 0.027961 *  
## genFGI4              0.6066     0.8539 284.0123   0.710 0.478027    
## genFMA7             -0.7766     0.8539 284.0123  -0.910 0.363828    
## genFSV1             -0.2686     0.8811 284.1537  -0.305 0.760711    
## Estres_c:genCNCH13  21.9487    14.8923 284.0123   1.474 0.141635    
## Estres_c:genFBO1    12.5395    14.8923 284.0123   0.842 0.400491    
## Estres_c:genFCHI8    6.1737    15.3868 284.1317   0.401 0.688552    
## Estres_c:genFEAR5   -9.1885    14.8923 284.0123  -0.617 0.537734    
## Estres_c:genFGI4     8.9492    14.8923 284.0123   0.601 0.548369    
## Estres_c:genFMA7     1.5552    14.8923 284.0123   0.104 0.916902    
## Estres_c:genFSV1    16.8806    15.0078 284.0480   1.125 0.261629    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation matrix not shown by default, as p = 16 > 12.
## Use print(x, correlation=TRUE)  or
##     vcov(x)        if you need it
#A posteriori 
emmeans(modelo_tasa, pairwise ~ gen)
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  gen    emmean   SE   df lower.CL upper.CL
##  CNCH12   7.73 1.55 10.6     4.30     11.2
##  CNCH13   9.12 1.55 10.6     5.69     12.6
##  FBO1     7.88 1.55 10.6     4.45     11.3
##  FCHI8    7.52 1.59 11.6     4.05     11.0
##  FEAR5    9.62 1.55 10.6     6.18     13.0
##  FGI4     8.34 1.55 10.6     4.90     11.8
##  FMA7     6.95 1.55 10.6     3.52     10.4
##  FSV1     7.46 1.57 11.0     4.01     10.9
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast        estimate    SE  df t.ratio p.value
##  CNCH12 - CNCH13  -1.3937 0.854 284  -1.632  0.7304
##  CNCH12 - FBO1    -0.1494 0.854 284  -0.175  1.0000
##  CNCH12 - FCHI8    0.2085 0.918 284   0.227  1.0000
##  CNCH12 - FEAR5   -1.8863 0.854 284  -2.209  0.3494
##  CNCH12 - FGI4    -0.6066 0.854 284  -0.710  0.9967
##  CNCH12 - FMA7     0.7766 0.854 284   0.910  0.9850
##  CNCH12 - FSV1     0.2686 0.881 284   0.305  1.0000
##  CNCH13 - FBO1     1.2443 0.854 284   1.457  0.8293
##  CNCH13 - FCHI8    1.6022 0.918 284   1.746  0.6572
##  CNCH13 - FEAR5   -0.4926 0.854 284  -0.577  0.9991
##  CNCH13 - FGI4     0.7871 0.854 284   0.922  0.9838
##  CNCH13 - FMA7     2.1703 0.854 284   2.542  0.1824
##  CNCH13 - FSV1     1.6623 0.881 284   1.887  0.5613
##  FBO1 - FCHI8      0.3579 0.918 284   0.390  0.9999
##  FBO1 - FEAR5     -1.7370 0.854 284  -2.034  0.4607
##  FBO1 - FGI4      -0.4572 0.854 284  -0.535  0.9995
##  FBO1 - FMA7       0.9260 0.854 284   1.085  0.9596
##  FBO1 - FSV1       0.4180 0.881 284   0.474  0.9998
##  FCHI8 - FEAR5    -2.0948 0.918 284  -2.282  0.3070
##  FCHI8 - FGI4     -0.8151 0.918 284  -0.888  0.9870
##  FCHI8 - FMA7      0.5681 0.918 284   0.619  0.9986
##  FCHI8 - FSV1      0.0601 0.936 284   0.064  1.0000
##  FEAR5 - FGI4      1.2797 0.854 284   1.499  0.8077
##  FEAR5 - FMA7      2.6630 0.854 284   3.119  0.0414
##  FEAR5 - FSV1      2.1549 0.881 284   2.446  0.2237
##  FGI4 - FMA7       1.3832 0.854 284   1.620  0.7379
##  FGI4 - FSV1       0.8752 0.881 284   0.993  0.9751
##  FMA7 - FSV1      -0.5080 0.881 284  -0.577  0.9991
## 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 8 estimates
emtrends(modelo_tasa, pairwise ~ gen, var = "Estres_c")
## $emtrends
##  gen    Estres_c.trend   SE   df lower.CL upper.CL
##  CNCH12           26.3 27.1 10.6    -33.5     86.2
##  CNCH13           48.3 27.1 10.6    -11.6    108.2
##  FBO1             38.9 27.1 10.6    -21.0     98.7
##  FCHI8            32.5 27.3 11.0    -27.7     92.7
##  FEAR5            17.2 27.1 10.6    -42.7     77.0
##  FGI4             35.3 27.1 10.6    -24.6     95.2
##  FMA7             27.9 27.1 10.6    -32.0     87.8
##  FSV1             43.2 27.1 10.7    -16.7    103.2
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast        estimate   SE  df t.ratio p.value
##  CNCH12 - CNCH13   -21.95 14.9 284  -1.474  0.8208
##  CNCH12 - FBO1     -12.54 14.9 284  -0.842  0.9905
##  CNCH12 - FCHI8     -6.17 15.4 284  -0.401  0.9999
##  CNCH12 - FEAR5      9.19 14.9 284   0.617  0.9986
##  CNCH12 - FGI4      -8.95 14.9 284  -0.601  0.9988
##  CNCH12 - FMA7      -1.56 14.9 284  -0.104  1.0000
##  CNCH12 - FSV1     -16.88 15.0 284  -1.125  0.9510
##  CNCH13 - FBO1       9.41 14.9 284   0.632  0.9984
##  CNCH13 - FCHI8     15.78 15.4 284   1.025  0.9703
##  CNCH13 - FEAR5     31.14 14.9 284   2.091  0.4234
##  CNCH13 - FGI4      13.00 14.9 284   0.873  0.9882
##  CNCH13 - FMA7      20.39 14.9 284   1.369  0.8704
##  CNCH13 - FSV1       5.07 15.0 284   0.338  1.0000
##  FBO1 - FCHI8        6.37 15.4 284   0.414  0.9999
##  FBO1 - FEAR5       21.73 14.9 284   1.459  0.8284
##  FBO1 - FGI4         3.59 14.9 284   0.241  1.0000
##  FBO1 - FMA7        10.98 14.9 284   0.738  0.9958
##  FBO1 - FSV1        -4.34 15.0 284  -0.289  1.0000
##  FCHI8 - FEAR5      15.36 15.4 284   0.998  0.9744
##  FCHI8 - FGI4       -2.78 15.4 284  -0.180  1.0000
##  FCHI8 - FMA7        4.62 15.4 284   0.300  1.0000
##  FCHI8 - FSV1      -10.71 15.5 284  -0.692  0.9972
##  FEAR5 - FGI4      -18.14 14.9 284  -1.218  0.9261
##  FEAR5 - FMA7      -10.74 14.9 284  -0.721  0.9963
##  FEAR5 - FSV1      -26.07 15.0 284  -1.737  0.6630
##  FGI4 - FMA7         7.39 14.9 284   0.496  0.9997
##  FGI4 - FSV1        -7.93 15.0 284  -0.528  0.9995
##  FMA7 - FSV1       -15.33 15.0 284  -1.021  0.9710
## 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 8 estimates
# Comparación genotipos en niveles de estrés
niveles_estres <- quantile(carbon$Estres_c, probs = c(0.1, 0.5, 0.9))

emmeans(modelo_tasa, pairwise ~ gen | Estres_c,
        at = list(Estres_c = niveles_estres))
## $emmeans
## Estres_c = -0.09429:
##  gen    emmean   SE   df lower.CL upper.CL
##  CNCH12   5.25 2.96 10.6    -1.29    11.79
##  CNCH13   4.57 2.96 10.6    -1.97    11.11
##  FBO1     4.21 2.96 10.6    -2.33    10.75
##  FCHI8    4.46 3.04 11.8    -2.18    11.09
##  FEAR5    8.00 2.96 10.6     1.46    14.54
##  FGI4     5.01 2.96 10.6    -1.53    11.55
##  FMA7     4.32 2.96 10.6    -2.22    10.86
##  FSV1     3.39 2.98 11.0    -3.18     9.95
## 
## Estres_c =  0.00571:
##  gen    emmean   SE   df lower.CL upper.CL
##  CNCH12   7.88 1.56 10.6     4.42    11.34
##  CNCH13   9.40 1.56 10.6     5.94    12.86
##  FBO1     8.10 1.56 10.6     4.65    11.56
##  FCHI8    7.71 1.59 11.5     4.22    11.20
##  FEAR5    9.71 1.56 10.6     6.26    13.17
##  FGI4     8.54 1.56 10.6     5.08    12.00
##  FMA7     7.11 1.56 10.6     3.66    10.57
##  FSV1     7.71 1.58 11.0     4.24    11.18
## 
## Estres_c =  0.09061:
##  gen    emmean   SE   df lower.CL upper.CL
##  CNCH12  10.12 2.93 10.6     3.63    16.60
##  CNCH13  13.50 2.93 10.6     7.02    19.99
##  FBO1    11.40 2.93 10.6     4.92    17.89
##  FCHI8   10.47 2.93 10.6     3.98    16.95
##  FEAR5   11.17 2.93 10.6     4.69    17.66
##  FGI4    11.54 2.93 10.6     5.05    18.02
##  FMA7     9.48 2.93 10.6     3.00    15.97
##  FSV1    11.38 2.93 10.6     4.89    17.86
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
## Estres_c = -0.09429:
##  contrast        estimate    SE  df t.ratio p.value
##  CNCH12 - CNCH13  0.67577 1.630 284   0.415  0.9999
##  CNCH12 - FBO1    1.03292 1.630 284   0.635  0.9984
##  CNCH12 - FCHI8   0.79060 1.770 284   0.447  0.9998
##  CNCH12 - FEAR5  -2.75269 1.630 284  -1.692  0.6924
##  CNCH12 - FGI4    0.23719 1.630 284   0.146  1.0000
##  CNCH12 - FMA7    0.92328 1.630 284   0.568  0.9992
##  CNCH12 - FSV1    1.86021 1.670 284   1.112  0.9539
##  CNCH13 - FBO1    0.35715 1.630 284   0.220  1.0000
##  CNCH13 - FCHI8   0.11483 1.770 284   0.065  1.0000
##  CNCH13 - FEAR5  -3.42847 1.630 284  -2.108  0.4125
##  CNCH13 - FGI4   -0.43859 1.630 284  -0.270  1.0000
##  CNCH13 - FMA7    0.24750 1.630 284   0.152  1.0000
##  CNCH13 - FSV1    1.18444 1.670 284   0.708  0.9967
##  FBO1 - FCHI8    -0.24232 1.770 284  -0.137  1.0000
##  FBO1 - FEAR5    -3.78562 1.630 284  -2.327  0.2825
##  FBO1 - FGI4     -0.79574 1.630 284  -0.489  0.9997
##  FBO1 - FMA7     -0.10965 1.630 284  -0.067  1.0000
##  FBO1 - FSV1      0.82729 1.670 284   0.494  0.9997
##  FCHI8 - FEAR5   -3.54329 1.770 284  -2.002  0.4826
##  FCHI8 - FGI4    -0.55341 1.770 284  -0.313  1.0000
##  FCHI8 - FMA7     0.13267 1.770 284   0.075  1.0000
##  FCHI8 - FSV1     1.06961 1.800 284   0.594  0.9989
##  FEAR5 - FGI4     2.98988 1.630 284   1.838  0.5946
##  FEAR5 - FMA7     3.67597 1.630 284   2.260  0.3197
##  FEAR5 - FSV1     4.61290 1.670 284   2.757  0.1105
##  FGI4 - FMA7      0.68609 1.630 284   0.422  0.9999
##  FGI4 - FSV1      1.62302 1.670 284   0.970  0.9783
##  FMA7 - FSV1      0.93693 1.670 284   0.560  0.9993
## 
## Estres_c =  0.00571:
##  contrast        estimate    SE  df t.ratio p.value
##  CNCH12 - CNCH13 -1.51910 0.860 284  -1.766  0.6434
##  CNCH12 - FBO1   -0.22102 0.860 284  -0.257  1.0000
##  CNCH12 - FCHI8   0.17324 0.916 284   0.189  1.0000
##  CNCH12 - FEAR5  -1.83385 0.860 284  -2.132  0.3967
##  CNCH12 - FGI4   -0.65773 0.860 284  -0.765  0.9947
##  CNCH12 - FMA7    0.76776 0.860 284   0.893  0.9866
##  CNCH12 - FSV1    0.17215 0.885 284   0.195  1.0000
##  CNCH13 - FBO1    1.29807 0.860 284   1.509  0.8020
##  CNCH13 - FCHI8   1.69233 0.916 284   1.848  0.5880
##  CNCH13 - FEAR5  -0.31475 0.860 284  -0.366  1.0000
##  CNCH13 - FGI4    0.86137 0.860 284   1.002  0.9739
##  CNCH13 - FMA7    2.28686 0.860 284   2.659  0.1398
##  CNCH13 - FSV1    1.69125 0.885 284   1.912  0.5438
##  FBO1 - FCHI8     0.39426 0.916 284   0.430  0.9999
##  FBO1 - FEAR5    -1.61282 0.860 284  -1.875  0.5690
##  FBO1 - FGI4     -0.43671 0.860 284  -0.508  0.9996
##  FBO1 - FMA7      0.98878 0.860 284   1.150  0.9450
##  FBO1 - FSV1      0.39318 0.885 284   0.444  0.9998
##  FCHI8 - FEAR5   -2.00708 0.916 284  -2.191  0.3600
##  FCHI8 - FGI4    -0.83097 0.916 284  -0.907  0.9852
##  FCHI8 - FMA7     0.59452 0.916 284   0.649  0.9981
##  FCHI8 - FSV1    -0.00108 0.932 284  -0.001  1.0000
##  FEAR5 - FGI4     1.17612 0.860 284   1.368  0.8712
##  FEAR5 - FMA7     2.60160 0.860 284   3.025  0.0542
##  FEAR5 - FSV1     2.00600 0.885 284   2.268  0.3152
##  FGI4 - FMA7      1.42549 0.860 284   1.657  0.7146
##  FGI4 - FSV1      0.82988 0.885 284   0.938  0.9820
##  FMA7 - FSV1     -0.59560 0.885 284  -0.673  0.9976
## 
## Estres_c =  0.09061:
##  contrast        estimate    SE  df t.ratio p.value
##  CNCH12 - CNCH13 -3.38254 1.610 284  -2.097  0.4196
##  CNCH12 - FBO1   -1.28563 1.610 284  -0.797  0.9932
##  CNCH12 - FCHI8  -0.35091 1.610 284  -0.217  1.0000
##  CNCH12 - FEAR5  -1.05375 1.610 284  -0.653  0.9980
##  CNCH12 - FGI4   -1.41752 1.610 284  -0.879  0.9878
##  CNCH12 - FMA7    0.63572 1.610 284   0.394  0.9999
##  CNCH12 - FSV1   -1.26101 1.610 284  -0.781  0.9940
##  CNCH13 - FBO1    2.09692 1.610 284   1.300  0.8984
##  CNCH13 - FCHI8   3.03164 1.610 284   1.877  0.5676
##  CNCH13 - FEAR5   2.32880 1.610 284   1.444  0.8361
##  CNCH13 - FGI4    1.96503 1.610 284   1.218  0.9261
##  CNCH13 - FMA7    4.01826 1.610 284   2.491  0.2036
##  CNCH13 - FSV1    2.12154 1.610 284   1.314  0.8929
##  FBO1 - FCHI8     0.93472 1.610 284   0.579  0.9991
##  FBO1 - FEAR5     0.23188 1.610 284   0.144  1.0000
##  FBO1 - FGI4     -0.13189 1.610 284  -0.082  1.0000
##  FBO1 - FMA7      1.92135 1.610 284   1.191  0.9340
##  FBO1 - FSV1      0.02462 1.610 284   0.015  1.0000
##  FCHI8 - FEAR5   -0.70284 1.610 284  -0.435  0.9999
##  FCHI8 - FGI4    -1.06661 1.610 284  -0.661  0.9979
##  FCHI8 - FMA7     0.98663 1.610 284   0.611  0.9987
##  FCHI8 - FSV1    -0.91010 1.620 284  -0.563  0.9992
##  FEAR5 - FGI4    -0.36377 1.610 284  -0.225  1.0000
##  FEAR5 - FMA7     1.68947 1.610 284   1.047  0.9666
##  FEAR5 - FSV1    -0.20726 1.610 284  -0.128  1.0000
##  FGI4 - FMA7      2.05323 1.610 284   1.273  0.9082
##  FGI4 - FSV1      0.15651 1.610 284   0.097  1.0000
##  FMA7 - FSV1     -1.89673 1.610 284  -1.175  0.9384
## 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 8 estimates
# Visualización
library(ggplot2)
ggplot(carbon, aes(x = Estres_c, y = total_alt_co2,
                  color = gen)) +
  geom_smooth(method = "lm", se = FALSE) +
  labs(x = "Ambiente (E)", 
       y = expression(t.CO[2][eq]/ha.año)) +
  theme_bw()
## `geom_smooth()` using formula = 'y ~ x'

### Carbono aéreo

##modelo_tasa estrés
modelo_tasa <- lmer(Mg.ab.diamalt ~ Estres_c * gen +
                      (1 | municipio),
                    data = carbon)
anova(modelo_tasa, type = 3)
## Type III Analysis of Variance Table with Satterthwaite's method
##              Sum Sq Mean Sq NumDF   DenDF F value Pr(>F)
## Estres_c      9.510  9.5098     1   8.002  1.1986 0.3055
## gen          87.514 12.5020     7 284.078  1.5757 0.1423
## Estres_c:gen 61.603  8.8004     7 284.039  1.1092 0.3573
summary(modelo_tasa)
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: Mg.ab.diamalt ~ Estres_c * gen + (1 | municipio)
##    Data: carbon
## 
## REML criterion at convergence: 1478.6
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.9074 -0.3747 -0.0491  0.3375  4.0913 
## 
## Random effects:
##  Groups    Name        Variance Std.Dev.
##  municipio (Intercept) 14.700   3.834   
##  Residual               7.934   2.817   
## Number of obs: 308, groups:  municipio, 10
## 
## Fixed effects:
##                     Estimate Std. Error        df t value Pr(>|t|)   
## (Intercept)          4.88575    1.29197   9.95755   3.782  0.00362 **
## Estres_c            17.63209   22.53328   9.95755   0.782  0.45213   
## genCNCH13            0.78639    0.63002 284.01225   1.248  0.21298   
## genFBO1              0.12652    0.63002 284.01225   0.201  0.84099   
## genFCHI8            -0.02619    0.67715 284.21594  -0.039  0.96918   
## genFEAR5             1.17832    0.63002 284.01225   1.870  0.06247 . 
## genFGI4              0.57807    0.63002 284.01225   0.918  0.35964   
## genFMA7             -0.52263    0.63002 284.01225  -0.830  0.40749   
## genFSV1             -0.22794    0.65012 284.12030  -0.351  0.72614   
## Estres_c:genCNCH13  19.75207   10.98814 284.01225   1.798  0.07331 . 
## Estres_c:genFBO1     9.93819   10.98814 284.01225   0.904  0.36652   
## Estres_c:genFCHI8    3.87471   11.35329 284.10334   0.341  0.73314   
## Estres_c:genFEAR5   -6.39757   10.98814 284.01225  -0.582  0.56088   
## Estres_c:genFGI4     3.98091   10.98814 284.01225   0.362  0.71740   
## Estres_c:genFMA7     1.62342   10.98814 284.01225   0.148  0.88265   
## Estres_c:genFSV1    13.01177   11.07342 284.03954   1.175  0.24096   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation matrix not shown by default, as p = 16 > 12.
## Use print(x, correlation=TRUE)  or
##     vcov(x)        if you need it
#A posteriori 
emmeans(modelo_tasa, pairwise ~ gen)
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  gen    emmean   SE    df lower.CL upper.CL
##  CNCH12   4.89 1.29  9.94     2.00     7.77
##  CNCH13   5.67 1.29  9.94     2.79     8.55
##  FBO1     5.01 1.29  9.94     2.13     7.89
##  FCHI8    4.86 1.32 10.68     1.95     7.77
##  FEAR5    6.06 1.29  9.94     3.18     8.95
##  FGI4     5.46 1.29  9.94     2.58     8.34
##  FMA7     4.36 1.29  9.94     1.48     7.24
##  FSV1     4.66 1.30 10.25     1.77     7.55
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast        estimate    SE  df t.ratio p.value
##  CNCH12 - CNCH13  -0.7864 0.630 284  -1.248  0.9166
##  CNCH12 - FBO1    -0.1265 0.630 284  -0.201  1.0000
##  CNCH12 - FCHI8    0.0262 0.677 284   0.039  1.0000
##  CNCH12 - FEAR5   -1.1783 0.630 284  -1.870  0.5725
##  CNCH12 - FGI4    -0.5781 0.630 284  -0.918  0.9842
##  CNCH12 - FMA7     0.5226 0.630 284   0.830  0.9913
##  CNCH12 - FSV1     0.2279 0.650 284   0.351  1.0000
##  CNCH13 - FBO1     0.6599 0.630 284   1.047  0.9666
##  CNCH13 - FCHI8    0.8126 0.677 284   1.200  0.9315
##  CNCH13 - FEAR5   -0.3919 0.630 284  -0.622  0.9986
##  CNCH13 - FGI4     0.2083 0.630 284   0.331  1.0000
##  CNCH13 - FMA7     1.3090 0.630 284   2.078  0.4319
##  CNCH13 - FSV1     1.0143 0.650 284   1.560  0.7736
##  FBO1 - FCHI8      0.1527 0.677 284   0.225  1.0000
##  FBO1 - FEAR5     -1.0518 0.630 284  -1.669  0.7070
##  FBO1 - FGI4      -0.4516 0.630 284  -0.717  0.9965
##  FBO1 - FMA7       0.6492 0.630 284   1.030  0.9695
##  FBO1 - FSV1       0.3545 0.650 284   0.545  0.9994
##  FCHI8 - FEAR5    -1.2045 0.677 284  -1.779  0.6351
##  FCHI8 - FGI4     -0.6043 0.677 284  -0.892  0.9866
##  FCHI8 - FMA7      0.4964 0.677 284   0.733  0.9959
##  FCHI8 - FSV1      0.2017 0.691 284   0.292  1.0000
##  FEAR5 - FGI4      0.6003 0.630 284   0.953  0.9804
##  FEAR5 - FMA7      1.7010 0.630 284   2.700  0.1269
##  FEAR5 - FSV1      1.4063 0.650 284   2.163  0.3775
##  FGI4 - FMA7       1.1007 0.630 284   1.747  0.6563
##  FGI4 - FSV1       0.8060 0.650 284   1.240  0.9193
##  FMA7 - FSV1      -0.2947 0.650 284  -0.453  0.9998
## 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 8 estimates
emtrends(modelo_tasa, pairwise ~ gen, var = "Estres_c")
## $emtrends
##  gen    Estres_c.trend   SE    df lower.CL upper.CL
##  CNCH12           17.6 22.5  9.94    -32.6     67.9
##  CNCH13           37.4 22.5  9.94    -12.9     87.6
##  FBO1             27.6 22.5  9.94    -22.7     77.8
##  FCHI8            21.5 22.7 10.26    -28.9     71.9
##  FEAR5            11.2 22.5  9.94    -39.0     61.5
##  FGI4             21.6 22.5  9.94    -28.6     71.9
##  FMA7             19.3 22.5  9.94    -31.0     69.5
##  FSV1             30.6 22.6 10.02    -19.6     80.9
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast        estimate   SE  df t.ratio p.value
##  CNCH12 - CNCH13  -19.752 11.0 284  -1.798  0.6223
##  CNCH12 - FBO1     -9.938 11.0 284  -0.904  0.9855
##  CNCH12 - FCHI8    -3.875 11.4 284  -0.341  1.0000
##  CNCH12 - FEAR5     6.398 11.0 284   0.582  0.9991
##  CNCH12 - FGI4     -3.981 11.0 284  -0.362  1.0000
##  CNCH12 - FMA7     -1.623 11.0 284  -0.148  1.0000
##  CNCH12 - FSV1    -13.012 11.1 284  -1.175  0.9384
##  CNCH13 - FBO1      9.814 11.0 284   0.893  0.9865
##  CNCH13 - FCHI8    15.877 11.4 284   1.398  0.8575
##  CNCH13 - FEAR5    26.150 11.0 284   2.380  0.2553
##  CNCH13 - FGI4     15.771 11.0 284   1.435  0.8401
##  CNCH13 - FMA7     18.129 11.0 284   1.650  0.7194
##  CNCH13 - FSV1      6.740 11.1 284   0.609  0.9987
##  FBO1 - FCHI8       6.063 11.4 284   0.534  0.9995
##  FBO1 - FEAR5      16.336 11.0 284   1.487  0.8141
##  FBO1 - FGI4        5.957 11.0 284   0.542  0.9994
##  FBO1 - FMA7        8.315 11.0 284   0.757  0.9950
##  FBO1 - FSV1       -3.074 11.1 284  -0.278  1.0000
##  FCHI8 - FEAR5     10.272 11.4 284   0.905  0.9855
##  FCHI8 - FGI4      -0.106 11.4 284  -0.009  1.0000
##  FCHI8 - FMA7       2.251 11.4 284   0.198  1.0000
##  FCHI8 - FSV1      -9.137 11.4 284  -0.801  0.9930
##  FEAR5 - FGI4     -10.378 11.0 284  -0.945  0.9813
##  FEAR5 - FMA7      -8.021 11.0 284  -0.730  0.9960
##  FEAR5 - FSV1     -19.409 11.1 284  -1.753  0.6525
##  FGI4 - FMA7        2.357 11.0 284   0.215  1.0000
##  FGI4 - FSV1       -9.031 11.1 284  -0.816  0.9922
##  FMA7 - FSV1      -11.388 11.1 284  -1.028  0.9698
## 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 8 estimates
# Comparación genotipos en niveles de estrés

niveles_estres <- quantile(carbon$Estres_c, probs = c(0.1, 0.5, 0.9))

emmeans(modelo_tasa, pairwise ~ gen | Estres_c,
        at = list(Estres_c = niveles_estres))
## $emmeans
## Estres_c = -0.09429:
##  gen    emmean   SE    df lower.CL upper.CL
##  CNCH12   3.22 2.46  9.94   -2.265     8.71
##  CNCH13   2.15 2.46  9.94   -3.341     7.64
##  FBO1     2.41 2.46  9.94   -3.076     7.90
##  FCHI8    2.83 2.51 10.82   -2.714     8.38
##  FEAR5    5.00 2.46  9.94   -0.484    10.49
##  FGI4     3.43 2.46  9.94   -2.062     8.91
##  FMA7     2.55 2.46  9.94   -2.941     8.04
##  FSV1     1.77 2.48 10.22   -3.738     7.27
## 
## Estres_c =  0.00571:
##  gen    emmean   SE    df lower.CL upper.CL
##  CNCH12   4.99 1.30  9.94    2.085     7.89
##  CNCH13   5.89 1.30  9.94    2.984     8.79
##  FBO1     5.17 1.30  9.94    2.268     8.07
##  FCHI8    4.98 1.32 10.58    2.059     7.91
##  FEAR5    6.13 1.30  9.94    3.227     9.03
##  FGI4     5.59 1.30  9.94    2.686     8.49
##  FMA7     4.47 1.30  9.94    1.571     7.37
##  FSV1     4.83 1.31 10.22    1.922     7.74
## 
## Estres_c =  0.09061:
##  gen    emmean   SE    df lower.CL upper.CL
##  CNCH12   6.48 2.44  9.94    1.040    11.93
##  CNCH13   9.06 2.44  9.94    3.616    14.50
##  FBO1     7.51 2.44  9.94    2.067    12.95
##  FCHI8    6.81 2.44  9.95    1.365    12.25
##  FEAR5    7.08 2.44  9.94    1.639    12.53
##  FGI4     7.42 2.44  9.94    1.979    12.87
##  FMA7     6.11 2.44  9.94    0.665    11.55
##  FSV1     7.43 2.44  9.95    1.991    12.88
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
## Estres_c = -0.09429:
##  contrast        estimate    SE  df t.ratio p.value
##  CNCH12 - CNCH13  1.07597 1.200 284   0.896  0.9862
##  CNCH12 - FBO1    0.81053 1.200 284   0.675  0.9976
##  CNCH12 - FCHI8   0.39153 1.310 284   0.300  1.0000
##  CNCH12 - FEAR5  -1.78153 1.200 284  -1.484  0.8154
##  CNCH12 - FGI4   -0.20272 1.200 284  -0.169  1.0000
##  CNCH12 - FMA7    0.67570 1.200 284   0.563  0.9992
##  CNCH12 - FSV1    1.45478 1.230 284   1.178  0.9376
##  CNCH13 - FBO1   -0.26545 1.200 284  -0.221  1.0000
##  CNCH13 - FCHI8  -0.68445 1.310 284  -0.524  0.9995
##  CNCH13 - FEAR5  -2.85750 1.200 284  -2.381  0.2548
##  CNCH13 - FGI4   -1.27869 1.200 284  -1.065  0.9634
##  CNCH13 - FMA7   -0.40027 1.200 284  -0.333  1.0000
##  CNCH13 - FSV1    0.37881 1.230 284   0.307  1.0000
##  FBO1 - FCHI8    -0.41900 1.310 284  -0.321  1.0000
##  FBO1 - FEAR5    -2.59205 1.200 284  -2.160  0.3796
##  FBO1 - FGI4     -1.01324 1.200 284  -0.844  0.9903
##  FBO1 - FMA7     -0.13483 1.200 284  -0.112  1.0000
##  FBO1 - FSV1      0.64425 1.230 284   0.522  0.9995
##  FCHI8 - FEAR5   -2.17305 1.310 284  -1.664  0.7106
##  FCHI8 - FGI4    -0.59425 1.310 284  -0.455  0.9998
##  FCHI8 - FMA7     0.28418 1.310 284   0.218  1.0000
##  FCHI8 - FSV1     1.06325 1.330 284   0.800  0.9930
##  FEAR5 - FGI4     1.57881 1.200 284   1.315  0.8925
##  FEAR5 - FMA7     2.45723 1.200 284   2.047  0.4520
##  FEAR5 - FSV1     3.23631 1.230 284   2.621  0.1527
##  FGI4 - FMA7      0.87842 1.200 284   0.732  0.9960
##  FGI4 - FSV1      1.65750 1.230 284   1.342  0.8818
##  FMA7 - FSV1      0.77908 1.230 284   0.631  0.9984
## 
## Estres_c =  0.00571:
##  contrast        estimate    SE  df t.ratio p.value
##  CNCH12 - CNCH13 -0.89923 0.635 284  -1.417  0.8488
##  CNCH12 - FBO1   -0.18330 0.635 284  -0.289  1.0000
##  CNCH12 - FCHI8   0.00405 0.676 284   0.006  1.0000
##  CNCH12 - FEAR5  -1.14177 0.635 284  -1.799  0.6211
##  CNCH12 - FGI4   -0.60081 0.635 284  -0.947  0.9811
##  CNCH12 - FMA7    0.51336 0.635 284   0.809  0.9925
##  CNCH12 - FSV1    0.15360 0.653 284   0.235  1.0000
##  CNCH13 - FBO1    0.71594 0.635 284   1.128  0.9502
##  CNCH13 - FCHI8   0.90329 0.676 284   1.337  0.8841
##  CNCH13 - FEAR5  -0.24254 0.635 284  -0.382  0.9999
##  CNCH13 - FGI4    0.29842 0.635 284   0.470  0.9998
##  CNCH13 - FMA7    1.41259 0.635 284   2.226  0.3393
##  CNCH13 - FSV1    1.05283 0.653 284   1.613  0.7421
##  FBO1 - FCHI8     0.18735 0.676 284   0.277  1.0000
##  FBO1 - FEAR5    -0.95848 0.635 284  -1.510  0.8014
##  FBO1 - FGI4     -0.41752 0.635 284  -0.658  0.9979
##  FBO1 - FMA7      0.69665 0.635 284   1.098  0.9569
##  FBO1 - FSV1      0.33690 0.653 284   0.516  0.9996
##  FCHI8 - FEAR5   -1.14583 0.676 284  -1.696  0.6902
##  FCHI8 - FGI4    -0.60487 0.676 284  -0.895  0.9863
##  FCHI8 - FMA7     0.50930 0.676 284   0.754  0.9952
##  FCHI8 - FSV1     0.14955 0.688 284   0.217  1.0000
##  FEAR5 - FGI4     0.54096 0.635 284   0.852  0.9898
##  FEAR5 - FMA7     1.65513 0.635 284   2.608  0.1572
##  FEAR5 - FSV1     1.29537 0.653 284   1.985  0.4941
##  FGI4 - FMA7      1.11417 0.635 284   1.756  0.6504
##  FGI4 - FSV1      0.75441 0.653 284   1.156  0.9435
##  FMA7 - FSV1     -0.35976 0.653 284  -0.551  0.9993
## 
## Estres_c =  0.09061:
##  contrast        estimate    SE  df t.ratio p.value
##  CNCH12 - CNCH13 -2.57618 1.190 284  -2.164  0.3767
##  CNCH12 - FBO1   -1.02705 1.190 284  -0.863  0.9890
##  CNCH12 - FCHI8  -0.32491 1.190 284  -0.273  1.0000
##  CNCH12 - FEAR5  -0.59862 1.190 284  -0.503  0.9996
##  CNCH12 - FGI4   -0.93879 1.190 284  -0.789  0.9936
##  CNCH12 - FMA7    0.37553 1.190 284   0.315  1.0000
##  CNCH12 - FSV1   -0.95110 1.190 284  -0.799  0.9931
##  CNCH13 - FBO1    1.54914 1.190 284   1.301  0.8978
##  CNCH13 - FCHI8   2.25128 1.190 284   1.889  0.5593
##  CNCH13 - FEAR5   1.97757 1.190 284   1.661  0.7121
##  CNCH13 - FGI4    1.63739 1.190 284   1.376  0.8677
##  CNCH13 - FMA7    2.95171 1.190 284   2.480  0.2084
##  CNCH13 - FSV1    1.62509 1.190 284   1.365  0.8725
##  FBO1 - FCHI8     0.70214 1.190 284   0.589  0.9990
##  FBO1 - FEAR5     0.42843 1.190 284   0.360  1.0000
##  FBO1 - FGI4      0.08826 1.190 284   0.074  1.0000
##  FBO1 - FMA7      1.40258 1.190 284   1.178  0.9376
##  FBO1 - FSV1      0.07595 1.190 284   0.064  1.0000
##  FCHI8 - FEAR5   -0.27371 1.190 284  -0.230  1.0000
##  FCHI8 - FGI4    -0.61388 1.190 284  -0.515  0.9996
##  FCHI8 - FMA7     0.70044 1.190 284   0.588  0.9990
##  FCHI8 - FSV1    -0.62619 1.190 284  -0.525  0.9995
##  FEAR5 - FGI4    -0.34017 1.190 284  -0.286  1.0000
##  FEAR5 - FMA7     0.97415 1.190 284   0.818  0.9920
##  FEAR5 - FSV1    -0.35248 1.190 284  -0.296  1.0000
##  FGI4 - FMA7      1.31432 1.190 284   1.104  0.9556
##  FGI4 - FSV1     -0.01231 1.190 284  -0.010  1.0000
##  FMA7 - FSV1     -1.32663 1.190 284  -1.114  0.9534
## 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 8 estimates
# Visualización
library(ggplot2)
ggplot(carbon, aes(x = Estres_c, y = Mg.ab.diamalt,
                   color = gen)) +
  geom_smooth(method = "lm", se = FALSE) +
  labs(x = "Ambiente (E)", 
       y = expression(BA-t.C/ha)) +
  theme_bw()
## `geom_smooth()` using formula = 'y ~ x'

###Carbono subterráneo

##modelo_tasa estrés
modelo_tasa <- lmer(Mg.bg.diamalt ~ Estres_c * gen +
                      (1 | municipio),
                    data = carbon)
anova(modelo_tasa, type = 3)
## Type III Analysis of Variance Table with Satterthwaite's method
##              Sum Sq Mean Sq NumDF   DenDF F value Pr(>F)
## Estres_c     0.4273 0.42729     1   8.002  1.1504 0.3147
## gen          4.4772 0.63960     7 284.076  1.7221 0.1036
## Estres_c:gen 2.8254 0.40362     7 284.038  1.0867 0.3718
summary(modelo_tasa)
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: Mg.bg.diamalt ~ Estres_c * gen + (1 | municipio)
##    Data: carbon
## 
## REML criterion at convergence: 584.8
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.8426 -0.4042 -0.0459  0.3834  3.8407 
## 
## Random effects:
##  Groups    Name        Variance Std.Dev.
##  municipio (Intercept) 0.7013   0.8374  
##  Residual              0.3714   0.6094  
## Number of obs: 308, groups:  municipio, 10
## 
## Fixed effects:
##                     Estimate Std. Error        df t value Pr(>|t|)   
## (Intercept)          1.23112    0.28187   9.91930   4.368  0.00143 **
## Estres_c             3.71219    4.91616   9.91930   0.755  0.46774   
## genCNCH13            0.18027    0.13631 284.01181   1.323  0.18706   
## genFBO1              0.03055    0.13631 284.01181   0.224  0.82282   
## genFCHI8            -0.01538    0.14651 284.21179  -0.105  0.91647   
## genFEAR5             0.27161    0.13631 284.01181   1.993  0.04726 * 
## genFGI4              0.11718    0.13631 284.01181   0.860  0.39071   
## genFMA7             -0.11434    0.13631 284.01181  -0.839  0.40226   
## genFSV1             -0.04926    0.14066 284.11789  -0.350  0.72645   
## Estres_c:genCNCH13   4.18911    2.37738 284.01181   1.762  0.07913 . 
## Estres_c:genFBO1     2.29129    2.37738 284.01181   0.964  0.33597   
## Estres_c:genFCHI8    0.87831    2.45639 284.10123   0.358  0.72094   
## Estres_c:genFEAR5   -1.34264    2.37738 284.01181  -0.565  0.57268   
## Estres_c:genFGI4     0.94442    2.37738 284.01181   0.397  0.69148   
## Estres_c:genFMA7     0.42813    2.37738 284.01181   0.180  0.85721   
## Estres_c:genFSV1     2.88873    2.39583 284.03859   1.206  0.22892   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation matrix not shown by default, as p = 16 > 12.
## Use print(x, correlation=TRUE)  or
##     vcov(x)        if you need it
#A posteriori 
emmeans(modelo_tasa, pairwise ~ gen)
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  gen    emmean    SE   df lower.CL upper.CL
##  CNCH12   1.23 0.282  9.9    0.602     1.86
##  CNCH13   1.41 0.282  9.9    0.783     2.04
##  FBO1     1.26 0.282  9.9    0.633     1.89
##  FCHI8    1.22 0.287 10.6    0.581     1.85
##  FEAR5    1.50 0.282  9.9    0.874     2.13
##  FGI4     1.35 0.282  9.9    0.719     1.98
##  FMA7     1.12 0.282  9.9    0.488     1.75
##  FSV1     1.18 0.284 10.2    0.551     1.81
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast        estimate    SE  df t.ratio p.value
##  CNCH12 - CNCH13  -0.1803 0.136 284  -1.323  0.8897
##  CNCH12 - FBO1    -0.0306 0.136 284  -0.224  1.0000
##  CNCH12 - FCHI8    0.0154 0.147 284   0.105  1.0000
##  CNCH12 - FEAR5   -0.2716 0.136 284  -1.993  0.4887
##  CNCH12 - FGI4    -0.1172 0.136 284  -0.860  0.9892
##  CNCH12 - FMA7     0.1143 0.136 284   0.839  0.9907
##  CNCH12 - FSV1     0.0493 0.141 284   0.350  1.0000
##  CNCH13 - FBO1     0.1497 0.136 284   1.098  0.9568
##  CNCH13 - FCHI8    0.1956 0.147 284   1.335  0.8846
##  CNCH13 - FEAR5   -0.0913 0.136 284  -0.670  0.9977
##  CNCH13 - FGI4     0.0631 0.136 284   0.463  0.9998
##  CNCH13 - FMA7     0.2946 0.136 284   2.161  0.3785
##  CNCH13 - FSV1     0.2295 0.141 284   1.632  0.7307
##  FBO1 - FCHI8      0.0459 0.147 284   0.313  1.0000
##  FBO1 - FEAR5     -0.2411 0.136 284  -1.768  0.6419
##  FBO1 - FGI4      -0.0866 0.136 284  -0.636  0.9983
##  FBO1 - FMA7       0.1449 0.136 284   1.063  0.9638
##  FBO1 - FSV1       0.0798 0.141 284   0.567  0.9992
##  FCHI8 - FEAR5    -0.2870 0.147 284  -1.959  0.5118
##  FCHI8 - FGI4     -0.1326 0.147 284  -0.905  0.9855
##  FCHI8 - FMA7      0.0990 0.147 284   0.675  0.9976
##  FCHI8 - FSV1      0.0339 0.149 284   0.227  1.0000
##  FEAR5 - FGI4      0.1544 0.136 284   1.133  0.9491
##  FEAR5 - FMA7      0.3860 0.136 284   2.831  0.0914
##  FEAR5 - FSV1      0.3209 0.141 284   2.281  0.3077
##  FGI4 - FMA7       0.2315 0.136 284   1.698  0.6883
##  FGI4 - FSV1       0.1664 0.141 284   1.183  0.9362
##  FMA7 - FSV1      -0.0651 0.141 284  -0.463  0.9998
## 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 8 estimates
emtrends(modelo_tasa, pairwise ~ gen, var = "Estres_c")
## $emtrends
##  gen    Estres_c.trend   SE    df lower.CL upper.CL
##  CNCH12           3.71 4.92  9.90    -7.26     14.7
##  CNCH13           7.90 4.92  9.90    -3.07     18.9
##  FBO1             6.00 4.92  9.90    -4.96     17.0
##  FCHI8            4.59 4.95 10.22    -6.42     15.6
##  FEAR5            2.37 4.92  9.90    -8.60     13.3
##  FGI4             4.66 4.92  9.90    -6.31     15.6
##  FMA7             4.14 4.92  9.90    -6.83     15.1
##  FSV1             6.60 4.93  9.98    -4.38     17.6
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast        estimate   SE  df t.ratio p.value
##  CNCH12 - CNCH13  -4.1891 2.38 284  -1.762  0.6462
##  CNCH12 - FBO1    -2.2913 2.38 284  -0.964  0.9790
##  CNCH12 - FCHI8   -0.8783 2.46 284  -0.358  1.0000
##  CNCH12 - FEAR5    1.3426 2.38 284   0.565  0.9992
##  CNCH12 - FGI4    -0.9444 2.38 284  -0.397  0.9999
##  CNCH12 - FMA7    -0.4281 2.38 284  -0.180  1.0000
##  CNCH12 - FSV1    -2.8887 2.40 284  -1.206  0.9298
##  CNCH13 - FBO1     1.8978 2.38 284   0.798  0.9931
##  CNCH13 - FCHI8    3.3108 2.46 284   1.348  0.8795
##  CNCH13 - FEAR5    5.5318 2.38 284   2.327  0.2827
##  CNCH13 - FGI4     3.2447 2.38 284   1.365  0.8724
##  CNCH13 - FMA7     3.7610 2.38 284   1.582  0.7608
##  CNCH13 - FSV1     1.3004 2.40 284   0.543  0.9994
##  FBO1 - FCHI8      1.4130 2.46 284   0.575  0.9991
##  FBO1 - FEAR5      3.6339 2.38 284   1.529  0.7915
##  FBO1 - FGI4       1.3469 2.38 284   0.567  0.9992
##  FBO1 - FMA7       1.8632 2.38 284   0.784  0.9938
##  FBO1 - FSV1      -0.5974 2.40 284  -0.249  1.0000
##  FCHI8 - FEAR5     2.2210 2.46 284   0.904  0.9855
##  FCHI8 - FGI4     -0.0661 2.46 284  -0.027  1.0000
##  FCHI8 - FMA7      0.4502 2.46 284   0.183  1.0000
##  FCHI8 - FSV1     -2.0104 2.47 284  -0.814  0.9922
##  FEAR5 - FGI4     -2.2871 2.38 284  -0.962  0.9793
##  FEAR5 - FMA7     -1.7708 2.38 284  -0.745  0.9955
##  FEAR5 - FSV1     -4.2314 2.40 284  -1.766  0.6435
##  FGI4 - FMA7       0.5163 2.38 284   0.217  1.0000
##  FGI4 - FSV1      -1.9443 2.40 284  -0.812  0.9924
##  FMA7 - FSV1      -2.4606 2.40 284  -1.027  0.9700
## 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 8 estimates
# Comparación genotipos en niveles de estrés

niveles_estres <- quantile(carbon$Estres_c, probs = c(0.1, 0.5, 0.9))

emmeans(modelo_tasa, pairwise ~ gen | Estres_c,
        at = list(Estres_c = niveles_estres))
## $emmeans
## Estres_c = -0.09429:
##  gen    emmean    SE    df lower.CL upper.CL
##  CNCH12  0.881 0.537  9.90  -0.3169     2.08
##  CNCH13  0.666 0.537  9.90  -0.5316     1.86
##  FBO1    0.696 0.537  9.90  -0.5024     1.89
##  FCHI8   0.783 0.548 10.77  -0.4274     1.99
##  FEAR5   1.279 0.537  9.90   0.0813     2.48
##  FGI4    0.909 0.537  9.90  -0.2888     2.11
##  FMA7    0.726 0.537  9.90  -0.4717     1.92
##  FSV1    0.559 0.541 10.17  -0.6423     1.76
## 
## Estres_c =  0.00571:
##  gen    emmean    SE    df lower.CL upper.CL
##  CNCH12  1.252 0.284  9.90   0.6189     1.89
##  CNCH13  1.457 0.284  9.90   0.8231     2.09
##  FBO1    1.296 0.284  9.90   0.6626     1.93
##  FCHI8   1.242 0.288 10.53   0.6039     1.88
##  FEAR5   1.516 0.284  9.90   0.8829     2.15
##  FGI4    1.375 0.284  9.90   0.7415     2.01
##  FMA7    1.140 0.284  9.90   0.5070     1.77
##  FSV1    1.220 0.286 10.17   0.5842     1.85
## 
## Estres_c =  0.09061:
##  gen    emmean    SE    df lower.CL upper.CL
##  CNCH12  1.567 0.533  9.90   0.3793     2.76
##  CNCH13  2.127 0.533  9.90   0.9392     3.32
##  FBO1    1.806 0.533  9.90   0.6175     2.99
##  FCHI8   1.632 0.533  9.91   0.4434     2.82
##  FEAR5   1.717 0.533  9.90   0.5293     2.91
##  FGI4    1.770 0.533  9.90   0.5821     2.96
##  FMA7    1.492 0.533  9.90   0.3038     2.68
##  FSV1    1.780 0.533  9.91   0.5918     2.97
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
## Estres_c = -0.09429:
##  contrast        estimate    SE  df t.ratio p.value
##  CNCH12 - CNCH13  0.21471 0.260 284   0.827  0.9915
##  CNCH12 - FBO1    0.18549 0.260 284   0.714  0.9965
##  CNCH12 - FCHI8   0.09819 0.283 284   0.347  1.0000
##  CNCH12 - FEAR5  -0.39821 0.260 284  -1.533  0.7887
##  CNCH12 - FGI4   -0.02813 0.260 284  -0.108  1.0000
##  CNCH12 - FMA7    0.15471 0.260 284   0.596  0.9989
##  CNCH12 - FSV1    0.32163 0.267 284   1.204  0.9303
##  CNCH13 - FBO1   -0.02922 0.260 284  -0.113  1.0000
##  CNCH13 - FCHI8  -0.11652 0.283 284  -0.412  0.9999
##  CNCH13 - FEAR5  -0.61292 0.260 284  -2.360  0.2652
##  CNCH13 - FGI4   -0.24284 0.260 284  -0.935  0.9824
##  CNCH13 - FMA7   -0.06000 0.260 284  -0.231  1.0000
##  CNCH13 - FSV1    0.10692 0.267 284   0.400  0.9999
##  FBO1 - FCHI8    -0.08730 0.283 284  -0.309  1.0000
##  FBO1 - FEAR5    -0.58370 0.260 284  -2.248  0.3267
##  FBO1 - FGI4     -0.21362 0.260 284  -0.823  0.9917
##  FBO1 - FMA7     -0.03078 0.260 284  -0.119  1.0000
##  FBO1 - FSV1      0.13614 0.267 284   0.510  0.9996
##  FCHI8 - FEAR5   -0.49640 0.283 284  -1.757  0.6499
##  FCHI8 - FGI4    -0.12632 0.283 284  -0.447  0.9998
##  FCHI8 - FMA7     0.05652 0.283 284   0.200  1.0000
##  FCHI8 - FSV1     0.22344 0.288 284   0.777  0.9942
##  FEAR5 - FGI4     0.37008 0.260 284   1.425  0.8450
##  FEAR5 - FMA7     0.55292 0.260 284   2.129  0.3987
##  FEAR5 - FSV1     0.71984 0.267 284   2.694  0.1285
##  FGI4 - FMA7      0.18284 0.260 284   0.704  0.9968
##  FGI4 - FSV1      0.34976 0.267 284   1.309  0.8949
##  FMA7 - FSV1      0.16692 0.267 284   0.625  0.9985
## 
## Estres_c =  0.00571:
##  contrast        estimate    SE  df t.ratio p.value
##  CNCH12 - CNCH13 -0.20420 0.137 284  -1.487  0.8138
##  CNCH12 - FBO1   -0.04364 0.137 284  -0.318  1.0000
##  CNCH12 - FCHI8   0.01036 0.146 284   0.071  1.0000
##  CNCH12 - FEAR5  -0.26394 0.137 284  -1.922  0.5366
##  CNCH12 - FGI4   -0.12257 0.137 284  -0.893  0.9865
##  CNCH12 - FMA7    0.11190 0.137 284   0.815  0.9922
##  CNCH12 - FSV1    0.03276 0.141 284   0.232  1.0000
##  CNCH13 - FBO1    0.16056 0.137 284   1.169  0.9399
##  CNCH13 - FCHI8   0.21456 0.146 284   1.467  0.8241
##  CNCH13 - FEAR5  -0.05974 0.137 284  -0.435  0.9999
##  CNCH13 - FGI4    0.08163 0.137 284   0.595  0.9989
##  CNCH13 - FMA7    0.31610 0.137 284   2.302  0.2959
##  CNCH13 - FSV1    0.23696 0.141 284   1.678  0.7015
##  FBO1 - FCHI8     0.05400 0.146 284   0.369  1.0000
##  FBO1 - FEAR5    -0.22030 0.137 284  -1.605  0.7473
##  FBO1 - FGI4     -0.07893 0.137 284  -0.575  0.9991
##  FBO1 - FMA7      0.15554 0.137 284   1.133  0.9491
##  FBO1 - FSV1      0.07640 0.141 284   0.541  0.9994
##  FCHI8 - FEAR5   -0.27431 0.146 284  -1.876  0.5685
##  FCHI8 - FGI4    -0.13293 0.146 284  -0.909  0.9850
##  FCHI8 - FMA7     0.10154 0.146 284   0.694  0.9971
##  FCHI8 - FSV1     0.02239 0.149 284   0.150  1.0000
##  FEAR5 - FGI4     0.14137 0.137 284   1.030  0.9696
##  FEAR5 - FMA7     0.37584 0.137 284   2.738  0.1158
##  FEAR5 - FSV1     0.29670 0.141 284   2.101  0.4167
##  FGI4 - FMA7      0.23447 0.137 284   1.708  0.6822
##  FGI4 - FSV1      0.15533 0.141 284   1.100  0.9565
##  FMA7 - FSV1     -0.07914 0.141 284  -0.560  0.9993
## 
## Estres_c =  0.09061:
##  contrast        estimate    SE  df t.ratio p.value
##  CNCH12 - CNCH13 -0.55986 0.258 284  -2.174  0.3708
##  CNCH12 - FBO1   -0.23817 0.258 284  -0.925  0.9835
##  CNCH12 - FCHI8  -0.06421 0.258 284  -0.249  1.0000
##  CNCH12 - FEAR5  -0.14995 0.258 284  -0.582  0.9991
##  CNCH12 - FGI4   -0.20275 0.258 284  -0.787  0.9937
##  CNCH12 - FMA7    0.07555 0.258 284   0.293  1.0000
##  CNCH12 - FSV1   -0.21250 0.258 284  -0.825  0.9916
##  CNCH13 - FBO1    0.32169 0.258 284   1.249  0.9163
##  CNCH13 - FCHI8   0.49565 0.258 284   1.923  0.5364
##  CNCH13 - FEAR5   0.40990 0.258 284   1.592  0.7551
##  CNCH13 - FGI4    0.35710 0.258 284   1.387  0.8628
##  CNCH13 - FMA7    0.63541 0.258 284   2.467  0.2139
##  CNCH13 - FSV1    0.34736 0.258 284   1.348  0.8794
##  FBO1 - FCHI8     0.17397 0.258 284   0.675  0.9976
##  FBO1 - FEAR5     0.08822 0.258 284   0.343  1.0000
##  FBO1 - FGI4      0.03542 0.258 284   0.138  1.0000
##  FBO1 - FMA7      0.31372 0.258 284   1.218  0.9261
##  FBO1 - FSV1      0.02567 0.258 284   0.100  1.0000
##  FCHI8 - FEAR5   -0.08575 0.258 284  -0.333  1.0000
##  FCHI8 - FGI4    -0.13855 0.258 284  -0.537  0.9994
##  FCHI8 - FMA7     0.13976 0.258 284   0.542  0.9994
##  FCHI8 - FSV1    -0.14829 0.258 284  -0.575  0.9991
##  FEAR5 - FGI4    -0.05280 0.258 284  -0.205  1.0000
##  FEAR5 - FMA7     0.22550 0.258 284   0.876  0.9880
##  FEAR5 - FSV1    -0.06254 0.258 284  -0.243  1.0000
##  FGI4 - FMA7      0.27830 0.258 284   1.081  0.9604
##  FGI4 - FSV1     -0.00974 0.258 284  -0.038  1.0000
##  FMA7 - FSV1     -0.28805 0.258 284  -1.118  0.9525
## 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 8 estimates
# Visualización
library(ggplot2)
ggplot(carbon, aes(x = Estres_c, y = Mg.bg.diamalt,
                   color = gen)) +
  geom_smooth(method = "lm", se = FALSE) +
  labs(x = "Ambiente (E)", 
       y = expression(BS-t.C/ha)) +
  theme_bw()
## `geom_smooth()` using formula = 'y ~ x'