From 6a67d6e82f392b4d592fdd805cbc61ab4545179f Mon Sep 17 00:00:00 2001 From: melina-leite Date: Thu, 28 Sep 2023 11:31:24 +0200 Subject: [PATCH] updating figure 1 --- 1_analysis_noTimeModels.html | 1075 +++++++++++------------ figures/FIG_1.jpeg | Bin 1325135 -> 2440972 bytes figures/FIG_3_VPC_notime_scales.png | Bin 44472 -> 44447 bytes figures/FIG_4_dirichlet_regressions.png | Bin 138309 -> 138032 bytes figures/FIG_S5.3_SDxRicnhess.png | Bin 48055 -> 48200 bytes figures/FIG_S5.4_SD_regressions.png | Bin 105910 -> 106031 bytes models_outputs/all_results_notime.Rdata | Bin 206914 -> 206916 bytes scripts/1_analysis_noTimeModels.Rmd | 2 +- 8 files changed, 537 insertions(+), 540 deletions(-) diff --git a/1_analysis_noTimeModels.html b/1_analysis_noTimeModels.html index 8ffe376..849378b 100644 --- a/1_analysis_noTimeModels.html +++ b/1_analysis_noTimeModels.html @@ -1633,8 +1633,8 @@

Organising principles among vital rates:

Melina Leite

-

15 -de Maio de 2023

+

28 +de Setembro de 2023

@@ -1652,29 +1652,29 @@

Data

Growth

Import results data to list

-
path = here("models_outputs/models_notime/all", "grow", "table")
-files = list.files(path)
-
-all = lapply(files, function(x) get(assign(x, load(paste0(path, "/", x)))))
-tudo <- bind_rows(all)
+
path = here("models_outputs/models_notime/all", "grow", "table")
+files = list.files(path)
+
+all = lapply(files, function(x) get(assign(x, load(paste0(path, "/", x)))))
+tudo <- bind_rows(all)

Remove intercept to include again as a separate column

-
intercepts <- tudo %>% filter(term == "intercept")
-names(intercepts)[8] = "intercept"
-
-grow <- tudo %>% filter(term != "intercept") %>%
-  left_join(intercepts[,c(1:4,8)], by= c("data", "fplot", "time", "q_size")) %>%
-  mutate(q_size = fct_relevel(q_size,"quad_5", "quad_10","quad_20", 
-                              "quad_50", "quad_100")) %>%
-  group_by(data, fplot, time, q_size) %>% 
-  mutate(VPC = variance/sum(variance))  %>%
-  as.data.frame()
+
intercepts <- tudo %>% filter(term == "intercept")
+names(intercepts)[8] = "intercept"
+
+grow <- tudo %>% filter(term != "intercept") %>%
+  left_join(intercepts[,c(1:4,8)], by= c("data", "fplot", "time", "q_size")) %>%
+  mutate(q_size = fct_relevel(q_size,"quad_5", "quad_10","quad_20", 
+                              "quad_50", "quad_100")) %>%
+  group_by(data, fplot, time, q_size) %>% 
+  mutate(VPC = variance/sum(variance))  %>%
+  as.data.frame()

Divide the sd of the terms by the mean growth (intercept) for each dataset.

-
grow$stdev = grow$Estimate/grow$intercept
+
grow$stdev = grow$Estimate/grow$intercept

Number of growth models per florest plot and quadrat scale.Some forest plots have more than 1 model because we ran one model per census interval.

-
table(grow$fplot,grow$q_size)/4
+
table(grow$fplot,grow$q_size)/4
##       
 ##        quad_5 quad_10 quad_20 quad_50 quad_100
 ##   ama       1       1       1       1        1
@@ -1702,28 +1702,28 @@ 

Growth

Mortality

Import results data to list

-
path = here("models_outputs/models_notime/all", "mort", "table")
-files = list.files(path)
-
-all = lapply(files, function(x) get(assign(x, load(paste0(path, "/", x)))))
-tudo <- bind_rows(all)
+
path = here("models_outputs/models_notime/all", "mort", "table")
+files = list.files(path)
+
+all = lapply(files, function(x) get(assign(x, load(paste0(path, "/", x)))))
+tudo <- bind_rows(all)

Remove intercept to include again as a separate column

-
intercepts <- tudo %>% filter(term == "intercept")
-names(intercepts)[8] = "intercept"
-
-mort <- tudo %>% filter(term != "intercept") %>%
-  left_join(intercepts[,c(1:4,8)], by= c("data", "fplot", "time", "q_size")) %>%
-  mutate(q_size = fct_relevel(q_size,"quad_5", "quad_10","quad_20", 
-                              "quad_50", "quad_100")) %>%
-  group_by(data, fplot, time, q_size) %>% 
-  mutate(VPC = variance/sum(variance))  %>%
-  as.data.frame()
-
-mort$stdev <- mort$Estimate
+
intercepts <- tudo %>% filter(term == "intercept")
+names(intercepts)[8] = "intercept"
+
+mort <- tudo %>% filter(term != "intercept") %>%
+  left_join(intercepts[,c(1:4,8)], by= c("data", "fplot", "time", "q_size")) %>%
+  mutate(q_size = fct_relevel(q_size,"quad_5", "quad_10","quad_20", 
+                              "quad_50", "quad_100")) %>%
+  group_by(data, fplot, time, q_size) %>% 
+  mutate(VPC = variance/sum(variance))  %>%
+  as.data.frame()
+
+mort$stdev <- mort$Estimate

Number of mortality models per florest plot and quadrat scale.Some forest plots have more than 1 modelo because we ran one model per census interval.

-
table(mort$fplot,mort$q_size)/4
+
table(mort$fplot,mort$q_size)/4
##       
 ##        quad_5 quad_10 quad_20 quad_50 quad_100
 ##   ama       1       1       1       1        1
@@ -1751,28 +1751,28 @@ 

Mortality

Recruitment

Import results data to list

-
path = here("models_outputs/models_notime/all", "rec", "table")
-files = list.files(path)
-
-all = lapply(files, function(x) get(assign(x, load(paste0(path, "/", x)))))
-tudo <- bind_rows(all)
+
path = here("models_outputs/models_notime/all", "rec", "table")
+files = list.files(path)
+
+all = lapply(files, function(x) get(assign(x, load(paste0(path, "/", x)))))
+tudo <- bind_rows(all)

Remove intercept to include again as a separate column

-
intercepts <- tudo %>% filter(term == "intercept")
-names(intercepts)[8] = "intercept"
-
-rec <- tudo %>% filter(term != "intercept") %>%
-  left_join(intercepts[,c(1:4,8)], by= c("data", "fplot", "time", "q_size")) %>%
-  mutate(q_size = fct_relevel(q_size,"quad_5", "quad_10","quad_20", 
-                              "quad_50", "quad_100")) %>%
-  group_by(data, fplot, time, q_size) %>% 
-  mutate(VPC = variance/sum(variance))  %>%
-  as.data.frame()
-
-rec$stdev <- rec$Estimate
+
intercepts <- tudo %>% filter(term == "intercept")
+names(intercepts)[8] = "intercept"
+
+rec <- tudo %>% filter(term != "intercept") %>%
+  left_join(intercepts[,c(1:4,8)], by= c("data", "fplot", "time", "q_size")) %>%
+  mutate(q_size = fct_relevel(q_size,"quad_5", "quad_10","quad_20", 
+                              "quad_50", "quad_100")) %>%
+  group_by(data, fplot, time, q_size) %>% 
+  mutate(VPC = variance/sum(variance))  %>%
+  as.data.frame()
+
+rec$stdev <- rec$Estimate

Number of recruitment models per florest plot and quadrat scale. Some forest plots have more than 1 modelo because we ran one model per census interval.

-
table(rec$fplot,rec$q_size)/4
+
table(rec$fplot,rec$q_size)/4
##       
 ##        quad_5 quad_10 quad_20 quad_50 quad_100
 ##   bci       7       7       7       7        7
@@ -1797,26 +1797,26 @@ 

Recruitment

## zof 1 1 1 1 1

Excluding WYW recruitment data because it has very low recruitment rates in all 3 intervals, 0.0001, 0.0004, 0.0007, respectivelly.

-
rec <- rec %>% filter(fplot!="wyw")
+
rec <- rec %>% filter(fplot!="wyw")

Combining models’ results

All vita rates

-
vital <- bind_rows(list(grow = grow, mort = mort, rec  = rec), 
-                   .id="vital") %>%
-  mutate(q_size = fct_recode(q_size,`5`="quad_5",`10`="quad_10",`20`="quad_20",
-                             `50`="quad_50", `100`="quad_100")) %>%
-  mutate(q_size = fct_relevel(q_size,"5", "10", "20", "50", "100"),
-         term = fct_relevel(term, "quadrat", "quadrat:sp", "sp", "Residual")) 
+
vital <- bind_rows(list(grow = grow, mort = mort, rec  = rec), 
+                   .id="vital") %>%
+  mutate(q_size = fct_recode(q_size,`5`="quad_5",`10`="quad_10",`20`="quad_20",
+                             `50`="quad_50", `100`="quad_100")) %>%
+  mutate(q_size = fct_relevel(q_size,"5", "10", "20", "50", "100"),
+         term = fct_relevel(term, "quadrat", "quadrat:sp", "sp", "Residual")) 

Plot information

Richness by rarefaction at the 6ha plot size (sampling unit 20x20m).

-
load(here("data", "rarefaction.curves.Rdata"))
-rich.rare <- rare[rare$sites ==150,2:3]
-colnames(rich.rare)[1] <- "richness.rarefaction"
-vital <- vital %>% left_join(rich.rare, by="fplot")
+
load(here("data", "rarefaction.curves.Rdata"))
+rich.rare <- rare[rare$sites ==150,2:3]
+colnames(rich.rare)[1] <- "richness.rarefaction"
+vital <- vital %>% left_join(rich.rare, by="fplot")

Averages

@@ -1824,155 +1824,152 @@

Averages

posterior variances for the plots >1 interval. Then I use this value as the Variance and calculate the Variance Partition Coefficient (VPC).

-
mvital <- vital %>% group_by(vital,fplot, term, q_size) %>% 
-                    summarise(variance = mean(variance),
-                              stdev = mean(stdev),
-                              richness.rarefaction = mean(richness.rarefaction),
-                              ntrees = mean(ntrees)) %>%
-  group_by(vital, fplot, q_size) %>%
-  mutate(VPC = variance/sum(variance))
+
mvital <- vital %>% group_by(vital,fplot, term, q_size) %>% 
+                    summarise(variance = mean(variance),
+                              stdev = mean(stdev),
+                              richness.rarefaction = mean(richness.rarefaction),
+                              ntrees = mean(ntrees)) %>%
+  group_by(vital, fplot, q_size) %>%
+  mutate(VPC = variance/sum(variance))

Mean VPC across all plots

-
avital <- mvital %>% group_by(vital, term, q_size) %>% 
-                    summarise(mean.stdev = mean(stdev),
-                              mean.var = mean(variance),
-                              mean.VPC = mean(VPC),
-                              sd.VPC = sd(VPC)) 
+
avital <- mvital %>% group_by(vital, term, q_size) %>% 
+                    summarise(mean.stdev = mean(stdev),
+                              mean.var = mean(variance),
+                              mean.VPC = mean(VPC),
+                              sd.VPC = sd(VPC)) 

TOTAL VPC across plots

-
tvital <- mvital %>% group_by(vital, term, q_size) %>% 
-                    summarise(variance = sum(variance),
-                              stdev = sqrt(variance)) %>%
-  group_by(vital, q_size) %>%
-  mutate(VPC = variance/sum(variance))
+
tvital <- mvital %>% group_by(vital, term, q_size) %>% 
+                    summarise(variance = sum(variance),
+                              stdev = sqrt(variance)) %>%
+  group_by(vital, q_size) %>%
+  mutate(VPC = variance/sum(variance))

Saving objects for models results

-
save(mvital, vital, file= here("models_outputs", "all_results_notime.Rdata"))
+
save(mvital, vital, file= here("models_outputs", "all_results_notime.Rdata"))

Standard deviations

Stacked SD for all forest plots

-
mvital %>%
-  ggplot(aes(x=fct_reorder(fplot,richness.rarefaction,max), y=stdev, fill=term,col=term)) +
-  geom_col(alpha=0.8) +
-  scale_fill_manual(values= cores)+ scale_color_manual(values= cores)+
-  facet_grid(q_size~vital, scales="free") +
-  xlab("Number of species -->") +
-  theme(legend.position="top",
-        axis.text.x = element_text(angle=45, hjust=1))
-

+
mvital %>%
+  ggplot(aes(x=fct_reorder(fplot,richness.rarefaction,max), y=stdev, fill=term,col=term)) +
+  geom_col(alpha=0.8) +
+  scale_fill_manual(values= cores)+ scale_color_manual(values= cores)+
+  facet_grid(q_size~vital, scales="free") +
+  xlab("Number of species -->") +
+  theme(legend.position="top",
+        axis.text.x = element_text(angle=45, hjust=1))
+

Standard deviations x species richness

5x5m quadrat scale

-
overallSD <- mvital %>% group_by(vital, fplot, q_size, term, richness.rarefaction) %>%
-  summarise(stdev = mean(stdev)) %>%
-  group_by(vital, fplot, q_size,richness.rarefaction) %>%
-  summarise(ALLstdev = sum(stdev))  %>%
-  filter(q_size=="5")
+
overallSD <- mvital %>% group_by(vital, fplot, q_size, term, richness.rarefaction) %>%
+  summarise(stdev = mean(stdev)) %>%
+  group_by(vital, fplot, q_size,richness.rarefaction) %>%
+  summarise(ALLstdev = sum(stdev))  %>%
+  filter(q_size=="5")

Models SD with log(richness) per vital rate

-
mg <- lm(ALLstdev ~ log(richness.rarefaction), 
-         data=overallSD[overallSD$vital == "grow", ])
-mm <- lm(ALLstdev ~ log(richness.rarefaction), 
-         data=overallSD[overallSD$vital == "mort", ])
-mr <- lm(ALLstdev ~ log(richness.rarefaction), 
-         data=overallSD[overallSD$vital == "rec", ])
-coefs <- bind_rows(list(grow=broom::tidy(mg), 
-               mort=broom::tidy(mm),
-               rec =broom::tidy(mr)), .id="vital")
-vals = c(paste0("beta = ", round(coefs[2,3],2), "; p = ", round(coefs[2,6],3)),
-paste0("beta = ", round(coefs[4,3],2), "; p = ", round(coefs[4,6],3)),
-paste0("beta = ", round(coefs[6,3],2), "; p = ", round(coefs[6,6],3)))
-anota <- data.frame(vital=c("grow", "mort", "rec"),
-                    x=10, y=8,
-                    lab = vals)
+
mg <- lm(ALLstdev ~ log(richness.rarefaction), 
+         data=overallSD[overallSD$vital == "grow", ])
+mm <- lm(ALLstdev ~ log(richness.rarefaction), 
+         data=overallSD[overallSD$vital == "mort", ])
+mr <- lm(ALLstdev ~ log(richness.rarefaction), 
+         data=overallSD[overallSD$vital == "rec", ])
+coefs <- bind_rows(list(grow=broom::tidy(mg), 
+               mort=broom::tidy(mm),
+               rec =broom::tidy(mr)), .id="vital")
+vals = c(paste0("beta = ", round(coefs[2,3],2), "; p = ", round(coefs[2,6],3)),
+paste0("beta = ", round(coefs[4,3],2), "; p = ", round(coefs[4,6],3)),
+paste0("beta = ", round(coefs[6,3],2), "; p = ", round(coefs[6,6],3)))
+anota <- data.frame(vital=c("grow", "mort", "rec"),
+                    x=10, y=8,
+                    lab = vals)

Overall standard deviations decreased with richness for recruitment.

-
over <- overallSD %>%
-ggplot(aes(x=richness.rarefaction, y=ALLstdev))+
-  geom_point() +
-  facet_grid(~vital, labeller = labvit) +
-  scale_x_log10() +
-  geom_smooth(method="lm", aes(linetype=vital)) +
-  scale_linetype_manual(values=c("dashed", "dashed", "solid"))+
-  theme(legend.position = "none",
-        panel.background = element_rect(colour="lightgray"))+
-  geom_text(data=anota, aes(x=x,y=y, label=lab), hjust=0) +
-  xlab("Rarefied species richness (log)") +
-  ylab("Standard deviation")
-over
-

-
png(here("figures", "FIG_S5.3_SDxRicnhess.png"), height = 350, width=900, res=100)
-over
-dev.off()
+
over <- overallSD %>%
+ggplot(aes(x=richness.rarefaction, y=ALLstdev))+
+  geom_point() +
+  facet_grid(~vital, labeller = labvit) +
+  scale_x_log10() +
+  geom_smooth(method="lm", aes(linetype=vital)) +
+  scale_linetype_manual(values=c("dashed", "dashed", "solid"))+
+  theme(legend.position = "none",
+        panel.background = element_rect(colour="lightgray"))+
+  geom_text(data=anota, aes(x=x,y=y, label=lab), hjust=0) +
+  xlab("Rarefied species richness (log)") +
+  ylab("Standard deviation")
+over
+

+
png(here("figures", "FIG_S5.3_SDxRicnhess.png"), height = 350, width=900, res=100)
+over
+dev.off()
## quartz_off_screen 
 ##                 2

Relationship between standard deviation for each term and species richness.

-
mgrow <- lm(stdev ~ -1 + log(richness.rarefaction)*term, 
-            data=mvital[mvital$vital == "grow",])
-mmort <- lm(stdev ~ -1 + log(richness.rarefaction)*term, 
-            data=mvital[mvital$vital == "mort" ,])
-mrec <- lm(stdev ~ -1+log(richness.rarefaction)*term, 
-           data=mvital[mvital$vital == "rec"  ,])
-broom::glance(mgrow)
+
mgrow <- lm(stdev ~ -1 + log(richness.rarefaction)*term, 
+            data=mvital[mvital$vital == "grow",])
+mmort <- lm(stdev ~ -1 + log(richness.rarefaction)*term, 
+            data=mvital[mvital$vital == "mort" ,])
+mrec <- lm(stdev ~ -1+log(richness.rarefaction)*term, 
+           data=mvital[mvital$vital == "rec"  ,])
+broom::glance(mgrow)
## # A tibble: 1 Ă— 12
-##   r.squared adj.r.squ…¹ sigma stati…²   p.value    df logLik   AIC   BIC devia…³
-##       <dbl>       <dbl> <dbl>   <dbl>     <dbl> <dbl>  <dbl> <dbl> <dbl>   <dbl>
-## 1     0.933       0.932 0.204    722. 5.55e-237     8   75.6 -133. -96.9    17.2
-## # … with 2 more variables: df.residual <int>, nobs <int>, and abbreviated
-## #   variable names ¹​adj.r.squared, ²​statistic, ³​deviance
-
broom::glance(mmort)
+## r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC +## <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> +## 1 0.933 0.932 0.204 722. 5.55e-237 8 75.6 -133. -96.9 +## # â„ą 3 more variables: deviance <dbl>, df.residual <int>, nobs <int>
+
broom::glance(mmort)
## # A tibble: 1 Ă— 12
-##   r.squared adj.r.squ…¹ sigma stati…²   p.value    df logLik   AIC   BIC devia…³
-##       <dbl>       <dbl> <dbl>   <dbl>     <dbl> <dbl>  <dbl> <dbl> <dbl>   <dbl>
-## 1     0.946       0.945 0.207    909. 2.12e-256     8   69.0 -120. -83.6    17.7
-## # … with 2 more variables: df.residual <int>, nobs <int>, and abbreviated
-## #   variable names ¹​adj.r.squared, ²​statistic, ³​deviance
-
broom::glance(mrec)
+## r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC +## <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> +## 1 0.946 0.945 0.207 909. 2.12e-256 8 69.0 -120. -83.6 +## # â„ą 3 more variables: deviance <dbl>, df.residual <int>, nobs <int>
+
broom::glance(mrec)
## # A tibble: 1 Ă— 12
-##   r.squared adj.r.squ…¹ sigma stati…²   p.value    df logLik   AIC   BIC devia…³
-##       <dbl>       <dbl> <dbl>   <dbl>     <dbl> <dbl>  <dbl> <dbl> <dbl>   <dbl>
-## 1     0.942       0.941 0.269    756. 7.34e-225     8  -36.0  90.0  125.    26.9
-## # … with 2 more variables: df.residual <int>, nobs <int>, and abbreviated
-## #   variable names ¹​adj.r.squared, ²​statistic, ³​deviance
+## r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC +## <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> +## 1 0.942 0.941 0.269 756. 7.34e-225 8 -36.0 90.0 125. +## # â„ą 3 more variables: deviance <dbl>, df.residual <int>, nobs <int>

bonferroni correction -> 0.05/3 = 0.0166667

Taking coefficients for figure

-
coefs <- bind_rows(list(grow=broom::tidy(mgrow), 
-               mort=broom::tidy(mmort),
-               rec =broom::tidy(mrec)), .id="vital") %>%
-  filter(! term %in% c("termquadrat", "termquadrat:sp", "termsp", 
-                       "termResidual")) %>%
-  mutate(sig = ifelse(p.value<0.01666667, "yes", "no"),
-         beta = paste0("beta = ", round(estimate,2), "; p = ", round(p.value,4)),
-         xis = 150,
-         y= 3)
-
-coefs$term[coefs$term == "log(richness.rarefaction)"] <- "quadrat"
-coefs$term[coefs$term == "log(richness.rarefaction):termsp"] <- "sp"
-coefs$term[coefs$term == "log(richness.rarefaction):termquadrat:sp"] <- "quadrat:sp"
-coefs$term[coefs$term == "log(richness.rarefaction):termResidual"] <- "Residual"
-coefs <- coefs %>% mutate(term = fct_relevel(term, "quadrat","quadrat:sp", "sp", "Residual")) 
-
-coefs$beta[coefs$term=="Residual" & coefs$vital !="grow"] <- ""
+
coefs <- bind_rows(list(grow=broom::tidy(mgrow), 
+               mort=broom::tidy(mmort),
+               rec =broom::tidy(mrec)), .id="vital") %>%
+  filter(! term %in% c("termquadrat", "termquadrat:sp", "termsp", 
+                       "termResidual")) %>%
+  mutate(sig = ifelse(p.value<0.01666667, "yes", "no"),
+         beta = paste0("beta = ", round(estimate,2), "; p = ", round(p.value,4)),
+         xis = 150,
+         y= 3)
+
+coefs$term[coefs$term == "log(richness.rarefaction)"] <- "quadrat"
+coefs$term[coefs$term == "log(richness.rarefaction):termsp"] <- "sp"
+coefs$term[coefs$term == "log(richness.rarefaction):termquadrat:sp"] <- "quadrat:sp"
+coefs$term[coefs$term == "log(richness.rarefaction):termResidual"] <- "Residual"
+coefs <- coefs %>% mutate(term = fct_relevel(term, "quadrat","quadrat:sp", "sp", "Residual")) 
+
+coefs$beta[coefs$term=="Residual" & coefs$vital !="grow"] <- ""

Figure

-
mvital$line <- "dashed"
-mvital$line[mvital$vital %in% c("grow", "rec") & mvital$term == "sp" ] <- "solid"
-mvital$line[mvital$vital == "mort" & mvital$term == "quadrat:sp" ] <- "solid"
-  
-fig <- mvital %>% filter(q_size=="5") %>%
-ggplot(aes(x=richness.rarefaction, y=stdev))+
-  facet_grid(vital~term, labeller = grpvit) +
-  geom_point()+
-  scale_x_log10() +
-  geom_smooth(method="lm", aes(linetype=line)) +
-  scale_linetype_manual(values=c("dashed", "solid"))+
-  geom_text(data=coefs, aes(x=xis,y=y, label=beta))+
-  theme(legend.position = "none",
-        panel.background = element_rect(colour="lightgray")) +
-  xlab("Rarefied species richness (log)") + ylab("Standard deviation")
-fig
-

-
png(here("figures", "FIG_S5.4_SD_regressions.png"), height = 700, width=900, res=100)
-fig
-dev.off()
+
mvital$line <- "dashed"
+mvital$line[mvital$vital %in% c("grow", "rec") & mvital$term == "sp" ] <- "solid"
+mvital$line[mvital$vital == "mort" & mvital$term == "quadrat:sp" ] <- "solid"
+  
+fig <- mvital %>% filter(q_size=="5") %>%
+ggplot(aes(x=richness.rarefaction, y=stdev))+
+  facet_grid(vital~term, labeller = grpvit) +
+  geom_point()+
+  scale_x_log10() +
+  geom_smooth(method="lm", aes(linetype=line)) +
+  scale_linetype_manual(values=c("dashed", "solid"))+
+  geom_text(data=coefs, aes(x=xis,y=y, label=beta))+
+  theme(legend.position = "none",
+        panel.background = element_rect(colour="lightgray")) +
+  xlab("Rarefied species richness (log)") + ylab("Standard deviation")
+fig
+

+
png(here("figures", "FIG_S5.4_SD_regressions.png"), height = 700, width=900, res=100)
+fig
+dev.off()
## quartz_off_screen 
 ##                 2
@@ -1980,61 +1977,61 @@

Standard deviations x species richness

Variance Partition Coefficients VPC

Stacked VPC for all forest plots at the 5x5 m quadrat scale.

-
vital %>% group_by(vital, fplot, q_size, term) %>%
-  summarise(VPC = mean(VPC),
-            richness.rarefaction = mean(richness.rarefaction),
-            ntrees = mean(ntrees)) %>%
-  filter(q_size == "5") %>%
-  ggplot(aes(x=fct_reorder(fplot, richness.rarefaction,max ), 
-             y=VPC, fill=term, col=term)) +
-  geom_col(alpha=0.8) +
-  scale_fill_manual(values= cores)+ 
-  scale_color_manual(values= cores)+
-  facet_wrap(~vital,ncol=1, labeller = labvit) +
-  xlab("- Number of species +") +
-  theme(axis.text.x = element_text(angle=45, hjust=1),
-        legend.position="none")
-

-
ah <- mvital %>% filter(q_size == "5") %>% 
-  group_by(vital,term) %>%
-  summarise(VPC_mean = as.character(round(mean(VPC), 2))) %>%
-  mutate(x_val = as.numeric(VPC_mean), 
-         y_val = 0.7:3.7)
-ah[5,3] <-  c("0.10")
+
vital %>% group_by(vital, fplot, q_size, term) %>%
+  summarise(VPC = mean(VPC),
+            richness.rarefaction = mean(richness.rarefaction),
+            ntrees = mean(ntrees)) %>%
+  filter(q_size == "5") %>%
+  ggplot(aes(x=fct_reorder(fplot, richness.rarefaction,max ), 
+             y=VPC, fill=term, col=term)) +
+  geom_col(alpha=0.8) +
+  scale_fill_manual(values= cores)+ 
+  scale_color_manual(values= cores)+
+  facet_wrap(~vital,ncol=1, labeller = labvit) +
+  xlab("- Number of species +") +
+  theme(axis.text.x = element_text(angle=45, hjust=1),
+        legend.position="none")
+

+
ah <- mvital %>% filter(q_size == "5") %>% 
+  group_by(vital,term) %>%
+  summarise(VPC_mean = as.character(round(mean(VPC), 2))) %>%
+  mutate(x_val = as.numeric(VPC_mean), 
+         y_val = 0.7:3.7)
+ah[5,3] <-  c("0.10")

Figure 1b: VPCs for all forest plots and vital rates

At the 5x5m quadrat size scale.

-
vpc.fig1 <- mvital %>% filter(q_size == "5") %>%
-  ggplot(aes(x=VPC, y=rev(term), col=term)) + 
-    facet_grid(~vital, labeller = labvit) +
-  geom_jitter(height = 0.1, size=3, alpha=0.6) +
-  scale_fill_manual(values=cores, labels=grplab) +
-  scale_color_manual(values=cores, labels=grplab)  +
-  scale_y_discrete(labels = c( "Residual","Species","Species x Space",  "Space")) +
-  ylab("") +
-  stat_summary(fun=mean, fun.min=mean, fun.max=mean, fatten=1, col="black",
-                         geom="crossbar", width=0.4)+
-  geom_vline(xintercept=c(0,0.2,0.4,0.6), col='gray', linetype="dashed", alpha=0.6)+
-    geom_text(data=ah, aes(x=x_val, y=rev(y_val), label=VPC_mean),
-              hjust=0.5,size=5,
-              col="black")+
-    theme(legend.position = "none",
-          panel.background = element_rect(colour="lightgray"),
-        axis.text.x = element_text(angle=45, hjust=1, size=16)) 
-vpc.fig1
-

-
avitsum <- avital %>% 
-  filter(q_size == "5") %>%
-  select(vital,term,mean.VPC, sd.VPC) %>% 
-  pivot_wider(names_from = vital, values_from = c(mean.VPC, sd.VPC)) %>%
-  select(term, mean.VPC_grow, sd.VPC_grow, mean.VPC_mort, sd.VPC_mort,
-        mean.VPC_rec, sd.VPC_rec)
-
-avitsum %>% mutate_if(is.numeric, round, digits=2) %>%
-  htmlTable(header=c("" ,rep(c("Mean", "SD"), 3)),
-            cgroup = c("", "Growth", "Mortality", "Recruitment"),
-            n.cgroup =c(1,2,2,2),
-            caption = "Average VPC values for models at the 5x5m quadrat grain size.")
+
vpc.fig1 <- mvital %>% filter(q_size == "5") %>%
+  ggplot(aes(x=VPC, y=rev(term), col=term)) + 
+    facet_grid(~vital, labeller = labvit) +
+  geom_jitter(height = 0.1, size=3, alpha=0.6) +
+  scale_fill_manual(values=cores, labels=grplab) +
+  scale_color_manual(values=cores, labels=grplab)  +
+  scale_y_discrete(labels = c( "Residual","Species","Species x Space",  "Space")) +
+  ylab("") +
+  stat_summary(fun=mean, fun.min=mean, fun.max=mean, fatten=1, col="black",
+                         geom="crossbar", width=0.4)+
+  geom_vline(xintercept=c(0,0.2,0.4,0.6), col='gray', linetype="dashed", alpha=0.6)+
+    geom_text(data=ah, aes(x=x_val, y=rev(y_val), label=VPC_mean),
+              hjust=0.5,size=5,
+              col="black")+
+    theme(legend.position = "none",
+          panel.background = element_rect(colour="lightgray"),
+        axis.text.x = element_text(angle=45, hjust=1, size=16)) 
+vpc.fig1
+

+
avitsum <- avital %>% 
+  filter(q_size == "5") %>%
+  select(vital,term,mean.VPC, sd.VPC) %>% 
+  pivot_wider(names_from = vital, values_from = c(mean.VPC, sd.VPC)) %>%
+  select(term, mean.VPC_grow, sd.VPC_grow, mean.VPC_mort, sd.VPC_mort,
+        mean.VPC_rec, sd.VPC_rec)
+
+avitsum %>% mutate_if(is.numeric, round, digits=2) %>%
+  htmlTable(header=c("" ,rep(c("Mean", "SD"), 3)),
+            cgroup = c("", "Growth", "Mortality", "Recruitment"),
+            n.cgroup =c(1,2,2,2),
+            caption = "Average VPC values for models at the 5x5m quadrat grain size.")
@@ -2247,40 +2244,40 @@

Figure 1b: VPCs for all forest plots and vital rates

Figure 1c: Average VPCs

5x5 m quadrat size scale.

-
tot.vpc.fig <- tvital %>% filter(q_size == "5") %>%
-ggplot(aes(x=vital, fill=term, col=term, y=VPC)) + 
-  geom_col(alpha=0.7,width = 0.6) +
-  facet_grid(~vital, scales="free_x", labeller = labvit) +
-   xlab("") + ylab("Mean VPC") +
-    scale_fill_manual(values=cores, labels=grplab) +
-  scale_color_manual(values=cores, labels=grplab) +
-  theme(axis.text.x = element_blank(),
-        axis.ticks = element_blank())
-tot.vpc.fig
-

+
tot.vpc.fig <- tvital %>% filter(q_size == "5") %>%
+ggplot(aes(x=vital, fill=term, col=term, y=VPC)) + 
+  geom_col(alpha=0.7,width = 0.6) +
+  facet_grid(~vital, scales="free_x", labeller = labvit) +
+   xlab("") + ylab("Average VPC") +
+    scale_fill_manual(values=cores, labels=grplab) +
+  scale_color_manual(values=cores, labels=grplab) +
+  theme(axis.text.x = element_blank(),
+        axis.ticks = element_blank())
+tot.vpc.fig
+

Figure 3: Total VPC per vital rates across spatial grain sizes

-
barvpc <- tvital %>% 
-ggplot(aes(x=q_size, fill=term, col=term, y=VPC)) + 
-  geom_col(alpha=0.7) +
-  facet_grid(~vital, scales="free_x", labeller = labvit) +
-   xlab("Spatial grain (quadrat size)") + ylab("VPC") +
-    scale_fill_manual(values=cores, labels=grplab) +
-  scale_color_manual(values=cores, labels=grplab) +
-  theme(legend.position = "none") +
-  labs(tag="(a)")
-barvpc
-

-
png(here("figures", "FIG_3_VPC_notime_scales.png"), height = 550, width=1080, res=130)
-barvpc
-dev.off()
+
barvpc <- tvital %>% 
+ggplot(aes(x=q_size, fill=term, col=term, y=VPC)) + 
+  geom_col(alpha=0.7) +
+  facet_grid(~vital, scales="free_x", labeller = labvit) +
+   xlab("Spatial grain (quadrat size)") + ylab("VPC") +
+    scale_fill_manual(values=cores, labels=grplab) +
+  scale_color_manual(values=cores, labels=grplab) +
+  theme(legend.position = "none") +
+  labs(tag="(a)")
+barvpc
+

+
png(here("figures", "FIG_3_VPC_notime_scales.png"), height = 550, width=1080, res=130)
+barvpc
+dev.off()
## quartz_off_screen 
 ##                 2
-
tvital %>% select(vital, term, q_size, VPC) %>%
-  pivot_wider(names_from = q_size, values_from = VPC) %>%
-  mutate_if(is.numeric, round, digits=2) %>%
-  htmlTable()
+
tvital %>% select(vital, term, q_size, VPC) %>%
+  pivot_wider(names_from = q_size, values_from = VPC) %>%
+  mutate_if(is.numeric, round, digits=2) %>%
+  htmlTable()
@@ -2629,100 +2626,100 @@

Figure 3: Total VPC per vital rates across spatial grain sizes

Figure 1 complete

map

-
###### xy locations ######
-forest <- read.table(here("data/plot_sites_information.csv"), sep=",",
-                     header=T)
-forest$long[forest$ID == "len"] <- forest$long[forest$ID == "len"] -2
-fxy <- st_as_sf(forest[,-27], coords = c("long", "lat"), crs = 4326) #WSG84
-fxy <- cbind(fxy, forest[,9:10])
-
-fxy$lat = st_coordinates(fxy)[,2]
-fxy$long = st_coordinates(fxy)[,1]
-fxy$site[fxy$site == "Smithsonian Environmental Research Center"] <- "SERC"
-fxy$site[fxy$site == "Smithsonian Conservation Biology Institute"] <- "SCBI"
-
-world <- ne_countries(scale = "medium", returnclass = "sf") %>%
-  filter(geounit != "Antarctica") 
-
set.seed(5)
-A <- ggplot(data = world) +
-  geom_sf(size=0.2) + 
-  geom_sf(data=fxy, aes(fill=abs(lat), size=n_census_intervals), 
-           shape=21, col="black") +
-  scale_size(name="# census \n intervals",range=c(2,10), breaks = c(1,2,3,5,7),
-            )+
-  scale_fill_gradientn(colours=pal) +
-  guides(fill = "none")+
-  geom_label_repel(data=fxy, aes(y=lat, x=long, label=site), size=5.5,
-                   label.size = 0,box.padding = 0.7,
-                  label.padding = 0.01) +
-  scale_x_continuous(expand = expansion(mult=c(-0.12, -0.15))) +
-  scale_y_continuous(expand = expansion(mult=-c(0.02, 0.15))) +
-  xlab("") + ylab("") +
-  theme_bw()+
-  theme(legend.position= c(0.05,0.18),
-        legend.text = element_text(size=12),
-        legend.title = element_text(size=15),
-        axis.text = element_blank(),
-        axis.ticks = element_blank(),
-        plot.margin =  margin(-0.5, 0.1, -1, -0.3, "cm")) +  labs(tag="(a)") +
-  geom_hline(yintercept=c(23.5,0,-23.5), linetype="dashed", col="gray") +#+
-  theme(plot.tag.position = c(0,1),
-        plot.tag = element_text(size=20, vjust = 1.2, hjust = 0, face="bold"))
-
-
-B <- vpc.fig1 + ggtitle("") + labs(tag = "(b)") +
-  theme_cowplot()+
-  theme(plot.margin =  margin(-0.5, 0.1, 0.2, 0, "cm"),
-        legend.position= "none",
-        #plot.tag.position = c(0,1),
-       # plot.tag = element_text(vjust = 3, hjust = -1.2),
-        text = element_text(size=20),
-        axis.text = element_text(size=16))
-
-
-C <- tot.vpc.fig + labs(tag = "(c)") + 
-  theme_cowplot()+
-  theme(plot.margin =  margin(0.3, 0, 0.2, 0.3, "cm"),
-        legend.position= "none",
-        #plot.tag.position = c(0,1),
-        panel.spacing.x = unit(0.01, "cm"),
-       # plot.tag = element_text(vjust = 3, hjust = 0),
-        text = element_text(size=20),
-        axis.ticks = element_blank(),
-        axis.text.y = element_text(size=18),
-        axis.text.x = element_blank())
-bot <- plot_spacer() + B + C + plot_layout(widths = c(0.00005,1,0.6))
-#ggsave("figs/FIG_1BC.jpeg", height = 5.5, width=15)
-
-
-A + wrap_plots(bot)+
-plot_layout(ncol=1,widths = c(0.1,1), heights = c(1,0.6))
-

-
ggsave(here("figures/FIG_1.jpeg"), height = 12, width=15)
+
###### xy locations ######
+forest <- read.table(here("data/plot_sites_information.csv"), sep=",",
+                     header=T)
+forest$long[forest$ID == "len"] <- forest$long[forest$ID == "len"] -2
+fxy <- st_as_sf(forest[,-27], coords = c("long", "lat"), crs = 4326) #WSG84
+fxy <- cbind(fxy, forest[,9:10])
+
+fxy$lat = st_coordinates(fxy)[,2]
+fxy$long = st_coordinates(fxy)[,1]
+fxy$site[fxy$site == "Smithsonian Environmental Research Center"] <- "SERC"
+fxy$site[fxy$site == "Smithsonian Conservation Biology Institute"] <- "SCBI"
+
+world <- ne_countries(scale = "medium", returnclass = "sf") %>%
+  filter(geounit != "Antarctica") 
+
set.seed(5)
+A <- ggplot(data = world) +
+  geom_sf(size=0.2) + 
+  geom_sf(data=fxy, aes(fill=abs(lat), size=n_census_intervals), 
+           shape=21, col="black") +
+  scale_size(name="# census \n intervals",range=c(2,10), breaks = c(1,2,3,5,7),
+            )+
+  scale_fill_gradientn(colours=pal) +
+  guides(fill = "none")+
+  geom_label_repel(data=fxy, aes(y=lat, x=long, label=site), size=5.5,
+                   label.size = 0,box.padding = 0.7,
+                  label.padding = 0.01) +
+  scale_x_continuous(expand = expansion(mult=c(-0.12, -0.15))) +
+  scale_y_continuous(expand = expansion(mult=-c(0.02, 0.15))) +
+  xlab("") + ylab("") +
+  theme_bw()+
+  theme(legend.position= c(0.05,0.18),
+        legend.text = element_text(size=12),
+        legend.title = element_text(size=15),
+        axis.text = element_blank(),
+        axis.ticks = element_blank(),
+        plot.margin =  margin(-0.5, 0.1, -1, -0.3, "cm")) +  labs(tag="(a)") +
+  geom_hline(yintercept=c(23.5,0,-23.5), linetype="dashed", col="gray") +#+
+  theme(plot.tag.position = c(0,1),
+        plot.tag = element_text(size=20, vjust = 1.2, hjust = 0, face="bold"))
+
+
+B <- vpc.fig1 + ggtitle("") + labs(tag = "(b)") +
+  theme_cowplot()+
+  theme(plot.margin =  margin(-0.5, 0.1, 0.2, 0, "cm"),
+        legend.position= "none",
+        #plot.tag.position = c(0,1),
+       # plot.tag = element_text(vjust = 3, hjust = -1.2),
+        text = element_text(size=20),
+        axis.text = element_text(size=16))
+
+
+C <- tot.vpc.fig + labs(tag = "(c)") + 
+  theme_cowplot()+
+  theme(plot.margin =  margin(0.3, 0, 0.2, 0.3, "cm"),
+        legend.position= "none",
+        #plot.tag.position = c(0,1),
+        panel.spacing.x = unit(0.01, "cm"),
+       # plot.tag = element_text(vjust = 3, hjust = 0),
+        text = element_text(size=20),
+        axis.ticks = element_blank(),
+        axis.text.y = element_text(size=18),
+        axis.text.x = element_blank())
+bot <- plot_spacer() + B + C + plot_layout(widths = c(0.00005,1,0.6))
+#ggsave("figs/FIG_1BC.jpeg", height = 5.5, width=15)
+
+
+A + wrap_plots(bot)+
+plot_layout(ncol=1,widths = c(0.1,1), heights = c(1,0.6))
+

+
ggsave(here("figures/FIG_1.jpeg"), height = 12, width=15)

DIRICHLET regression

Including latitude for color

-
load(here("data", "plots_structure.Rdata"))
-vital <- vital %>% left_join(plots.structure[,1:2], "fplot")
+
load(here("data", "plots_structure.Rdata"))
+vital <- vital %>% left_join(plots.structure[,1:2], "fplot")

Growth

-
predirig <-  vital %>% 
-  filter(vital == "grow", q_size == "5") %>%
-  select(fplot, time, term, VPC, richness.rarefaction, lat) %>%
-  ungroup() %>% select(-time) %>%
-  group_by(fplot, term) %>% summarise_all(mean)
-
-diridatag <- predirig %>%
-  pivot_wider(names_from = term, values_from = VPC) %>% ungroup() %>%
-  mutate(log.rich = log(richness.rarefaction),
-         log.rich.o=log.rich) %>%
-  mutate_at(vars(log.rich), scale)
-
-vpcg <- DR_data(diridatag[,c("quadrat", "sp", "quadrat:sp",  "Residual")])
-#plot(vpcg)
-
mgrow <- DirichReg(vpcg~log.rich, data=diridatag, model="alternative", base=4)
-summary(mgrow)
+
predirig <-  vital %>% 
+  filter(vital == "grow", q_size == "5") %>%
+  select(fplot, time, term, VPC, richness.rarefaction, lat) %>%
+  ungroup() %>% select(-time) %>%
+  group_by(fplot, term) %>% summarise_all(mean)
+
+diridatag <- predirig %>%
+  pivot_wider(names_from = term, values_from = VPC) %>% ungroup() %>%
+  mutate(log.rich = log(richness.rarefaction),
+         log.rich.o=log.rich) %>%
+  mutate_at(vars(log.rich), scale)
+
+vpcg <- DR_data(diridatag[,c("quadrat", "sp", "quadrat:sp",  "Residual")])
+#plot(vpcg)
+
mgrow <- DirichReg(vpcg~log.rich, data=diridatag, model="alternative", base=4)
+summary(mgrow)
## Call:
 ## DirichReg(formula = vpcg ~ log.rich, data = diridatag, model = "alternative",
 ## base = 4)
@@ -2762,55 +2759,55 @@ 

Growth

## ------------------------------------------------------------------ ## Significance codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 ## -## Log-likelihood: 102.9 on 7 df (45 BFGS + 1 NR Iterations) +## Log-likelihood: 102.9 on 7 df (44 BFGS + 1 NR Iterations) ## AIC: -191.7, BIC: -184.4 ## Number of Observations: 21 ## Links: Logit (Means) and Log (Precision) ## Parametrization: alternative

Predictions

-
newdata <- expand.grid(log.rich = seq(min(diridatag$log.rich),
-                                      max(diridatag$log.rich), length.out=10))
-pred <- predict(mgrow, newdata = newdata, se=T)
-colnames(pred) <- colnames(vpcg)
-newdata$log.rich.o <- newdata$log.rich*sd(diridatag$log.rich.o) +
-  mean(diridatag$log.rich.o)
-newdata$rich.o <- exp(newdata$log.rich.o)
-newpredg <- cbind(newdata,pred) %>% pivot_longer(`quadrat`:`Residual`, names_to="term", values_to="pred")
-
-newpredg %>% mutate(term = fct_relevel(term, "quadrat", "quadrat:sp", "sp",
-                                     "Residual")) %>%
-ggplot(aes(x=rich.o, y=pred, col=term)) +
-  geom_line() + facet_grid(~term) +
-  geom_point(data=predirig, aes(x=richness.rarefaction, y=VPC, col=term)) +
-  scale_x_log10() +
-  ggtitle("Mod log.rich")
+
newdata <- expand.grid(log.rich = seq(min(diridatag$log.rich),
+                                      max(diridatag$log.rich), length.out=10))
+pred <- predict(mgrow, newdata = newdata, se=T)
+colnames(pred) <- colnames(vpcg)
+newdata$log.rich.o <- newdata$log.rich*sd(diridatag$log.rich.o) +
+  mean(diridatag$log.rich.o)
+newdata$rich.o <- exp(newdata$log.rich.o)
+newpredg <- cbind(newdata,pred) %>% pivot_longer(`quadrat`:`Residual`, names_to="term", values_to="pred")
+
+newpredg %>% mutate(term = fct_relevel(term, "quadrat", "quadrat:sp", "sp",
+                                     "Residual")) %>%
+ggplot(aes(x=rich.o, y=pred, col=term)) +
+  geom_line() + facet_grid(~term) +
+  geom_point(data=predirig, aes(x=richness.rarefaction, y=VPC, col=term)) +
+  scale_x_log10() +
+  ggtitle("Mod log.rich")

Residuals

-
resid <- residuals(mgrow, type = "standardized")
-resid <-  data.frame(resid[,1:4])
-resid$log.rich <- diridatag$log.rich
-resid <- resid %>% pivot_longer(1:4, names_to="term", values_to="resid")
-
-ggplot(resid, aes(x=log.rich, y=resid)) + geom_point() +
-facet_grid(~term)
+
resid <- residuals(mgrow, type = "standardized")
+resid <-  data.frame(resid[,1:4])
+resid$log.rich <- diridatag$log.rich
+resid <- resid %>% pivot_longer(1:4, names_to="term", values_to="resid")
+
+ggplot(resid, aes(x=log.rich, y=resid)) + geom_point() +
+facet_grid(~term)

Mortality

-
predirim <-  vital %>% 
-  filter(vital == "mort", q_size == "5") %>%
-  select(fplot, time, term, VPC,richness.rarefaction, lat) %>%
-  ungroup() %>% select(-time) %>%
-  group_by(fplot, term) %>% summarise_all(mean)
-diridatam <- predirim %>%
-  pivot_wider(names_from = term, values_from = VPC) %>% ungroup() %>%
-  mutate(log.rich = log(richness.rarefaction),
-         log.rich.o=log.rich) %>%
-  mutate_at(vars(log.rich), scale)
-
-vpcm <- DR_data(diridatam[,c("quadrat", "sp", "quadrat:sp",  "Residual")])
-
mmort <- DirichReg(vpcm~log.rich,data=diridatam, model="alternative", base=4)
-summary(mmort)
+
predirim <-  vital %>% 
+  filter(vital == "mort", q_size == "5") %>%
+  select(fplot, time, term, VPC,richness.rarefaction, lat) %>%
+  ungroup() %>% select(-time) %>%
+  group_by(fplot, term) %>% summarise_all(mean)
+diridatam <- predirim %>%
+  pivot_wider(names_from = term, values_from = VPC) %>% ungroup() %>%
+  mutate(log.rich = log(richness.rarefaction),
+         log.rich.o=log.rich) %>%
+  mutate_at(vars(log.rich), scale)
+
+vpcm <- DR_data(diridatam[,c("quadrat", "sp", "quadrat:sp",  "Residual")])
+
mmort <- DirichReg(vpcm~log.rich,data=diridatam, model="alternative", base=4)
+summary(mmort)
## Call:
 ## DirichReg(formula = vpcm ~ log.rich, data = diridatam, model = "alternative",
 ## base = 4)
@@ -2850,15 +2847,15 @@ 

Mortality

## ------------------------------------------------------------------ ## Significance codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 ## -## Log-likelihood: 85.36 on 7 df (44 BFGS + 1 NR Iterations) +## Log-likelihood: 85.36 on 7 df (41 BFGS + 1 NR Iterations) ## AIC: -156.7, BIC: -149.4 ## Number of Observations: 21 ## Links: Logit (Means) and Log (Precision) ## Parametrization: alternative
-
newdata <- expand.grid(log.rich = seq(min(diridatam$log.rich),
-                                      max(diridatam$log.rich), length.out=10))
-pred <- predict(mmort, newdata = newdata, se=T)
-confint(mmort)
+
newdata <- expand.grid(log.rich = seq(min(diridatam$log.rich),
+                                      max(diridatam$log.rich), length.out=10))
+pred <- predict(mmort, newdata = newdata, se=T)
+confint(mmort)
## 
 ## 95% Confidence Intervals (original form)
 ## 
@@ -2884,46 +2881,46 @@ 

Mortality

## - Gamma-Parameters ## 2.5% Est. 97.5% ## (Intercept) 2.93 3.27 3.62
-
colnames(pred) <- colnames(vpcm)
-newdata$log.rich.o <- newdata$log.rich*sd(diridatam$log.rich.o) +
-  mean(diridatam$log.rich.o)
-newdata$rich.o <- exp(newdata$log.rich.o)
-newpredm <- cbind(newdata,pred) %>% pivot_longer(`quadrat`:`Residual`, names_to="term", values_to="pred")
-
-newpredm %>% mutate(term = fct_relevel(term, "quadrat", "quadrat:sp", "sp",
-                                      "Residual")) %>%
-  ggplot(aes(x=rich.o, y=pred, col=term)) +
-  geom_line() + facet_grid(~term) +
-  geom_point(data=predirim, aes(x=richness.rarefaction, y=VPC, col=term)) +
-  scale_x_log10() +
-  ggtitle("Mod log.rich")
+
colnames(pred) <- colnames(vpcm)
+newdata$log.rich.o <- newdata$log.rich*sd(diridatam$log.rich.o) +
+  mean(diridatam$log.rich.o)
+newdata$rich.o <- exp(newdata$log.rich.o)
+newpredm <- cbind(newdata,pred) %>% pivot_longer(`quadrat`:`Residual`, names_to="term", values_to="pred")
+
+newpredm %>% mutate(term = fct_relevel(term, "quadrat", "quadrat:sp", "sp",
+                                      "Residual")) %>%
+  ggplot(aes(x=rich.o, y=pred, col=term)) +
+  geom_line() + facet_grid(~term) +
+  geom_point(data=predirim, aes(x=richness.rarefaction, y=VPC, col=term)) +
+  scale_x_log10() +
+  ggtitle("Mod log.rich")

Residuals

-
resid <- residuals(mmort, type = "standardized")
-resid <-  data.frame(resid[,1:4])
-resid$log.rich <- diridatam$log.rich
-resid <- resid %>% pivot_longer(1:4, names_to="term", values_to="resid")
-
-ggplot(resid, aes(x=log.rich, y=resid)) + geom_point() +
-  facet_grid(~term)
+
resid <- residuals(mmort, type = "standardized")
+resid <-  data.frame(resid[,1:4])
+resid$log.rich <- diridatam$log.rich
+resid <- resid %>% pivot_longer(1:4, names_to="term", values_to="resid")
+
+ggplot(resid, aes(x=log.rich, y=resid)) + geom_point() +
+  facet_grid(~term)

Recruitment

-
predirir <-  vital %>% 
-  filter(vital == "rec", q_size == "5") %>%
-  select(fplot, time, term, VPC,richness.rarefaction, lat) %>%
-  ungroup() %>% select(-time) %>%
-  group_by(fplot, term) %>% summarise_all(mean)
-diridatar<- predirir %>%
-  pivot_wider(names_from = term, values_from = VPC) %>% ungroup() %>%
-  mutate(log.rich = log(richness.rarefaction),
-         log.rich.o=log.rich) %>%
-  mutate_at(vars(log.rich), scale)
-
-vpcr <- DR_data(diridatar[,c("quadrat", "sp", "quadrat:sp",  "Residual")])
-
mrec <- DirichReg(vpcr~log.rich,data=diridatar, model="alternative", base=4)
-summary(mrec)
+
predirir <-  vital %>% 
+  filter(vital == "rec", q_size == "5") %>%
+  select(fplot, time, term, VPC,richness.rarefaction, lat) %>%
+  ungroup() %>% select(-time) %>%
+  group_by(fplot, term) %>% summarise_all(mean)
+diridatar<- predirir %>%
+  pivot_wider(names_from = term, values_from = VPC) %>% ungroup() %>%
+  mutate(log.rich = log(richness.rarefaction),
+         log.rich.o=log.rich) %>%
+  mutate_at(vars(log.rich), scale)
+
+vpcr <- DR_data(diridatar[,c("quadrat", "sp", "quadrat:sp",  "Residual")])
+
mrec <- DirichReg(vpcr~log.rich,data=diridatar, model="alternative", base=4)
+summary(mrec)
## Call:
 ## DirichReg(formula = vpcr ~ log.rich, data = diridatar, model = "alternative",
 ## base = 4)
@@ -2969,31 +2966,31 @@ 

Recruitment

## Links: Logit (Means) and Log (Precision) ## Parametrization: alternative

Prediction

-
newdata <- expand.grid(log.rich = seq(min(diridatar$log.rich),
-                                      max(diridatar$log.rich), length.out=10))
-pred <- predict(mrec, newdata = newdata, se=T)
-colnames(pred) <- colnames(vpcr)
-newdata$log.rich.o <- newdata$log.rich*sd(diridatar$log.rich.o) +
-  mean(diridatar$log.rich.o)
-newdata$rich.o <- exp(newdata$log.rich.o)
-newpredr <- cbind(newdata,pred) %>% pivot_longer(`quadrat`:`Residual`, names_to="term", values_to="pred")
-
-newpredr %>% mutate(term = fct_relevel(term, "quadrat", "quadrat:sp", "sp",
-                                      "Residual")) %>%
-  ggplot(aes(x=rich.o, y=pred, col=term)) +
-  geom_line() + facet_grid(~term) +
-  geom_point(data=predirir, aes(x=richness.rarefaction, y=VPC, col=term)) +
-  scale_x_log10() +
-  ggtitle("Mod log.rich")
+
newdata <- expand.grid(log.rich = seq(min(diridatar$log.rich),
+                                      max(diridatar$log.rich), length.out=10))
+pred <- predict(mrec, newdata = newdata, se=T)
+colnames(pred) <- colnames(vpcr)
+newdata$log.rich.o <- newdata$log.rich*sd(diridatar$log.rich.o) +
+  mean(diridatar$log.rich.o)
+newdata$rich.o <- exp(newdata$log.rich.o)
+newpredr <- cbind(newdata,pred) %>% pivot_longer(`quadrat`:`Residual`, names_to="term", values_to="pred")
+
+newpredr %>% mutate(term = fct_relevel(term, "quadrat", "quadrat:sp", "sp",
+                                      "Residual")) %>%
+  ggplot(aes(x=rich.o, y=pred, col=term)) +
+  geom_line() + facet_grid(~term) +
+  geom_point(data=predirir, aes(x=richness.rarefaction, y=VPC, col=term)) +
+  scale_x_log10() +
+  ggtitle("Mod log.rich")

Residuals

-
resid <- residuals(mrec, type = "standardized")
-resid <-  data.frame(resid[,1:4])
-resid$log.rich <- diridatar$log.rich
-resid <- resid %>% pivot_longer(1:4, names_to="term", values_to="resid")
-
-ggplot(resid, aes(x=log.rich, y=resid)) + geom_point() +
-  facet_grid(~term)
+
resid <- residuals(mrec, type = "standardized")
+resid <-  data.frame(resid[,1:4])
+resid$log.rich <- diridatar$log.rich
+resid <- resid %>% pivot_longer(1:4, names_to="term", values_to="resid")
+
+ggplot(resid, aes(x=log.rich, y=resid)) + geom_point() +
+  facet_grid(~term)

@@ -3006,85 +3003,85 @@

Figure dirichlet

and Dirichlet regression. Methods in Ecology and Evolution, 10, 1412–1430. https://doi.org/10.1111/2041-210X.13234.

-
source(here("scripts", "prediction_intervals_dirichlet.R"), local=T)
-
predis <- bind_rows(list(grow=newpredg, mort=newpredm, rec=newpredr),
-                    .id="vital") %>% 
-  mutate(term = fct_relevel(term, "quadrat", "quadrat:sp", "sp","Residual"))
-
-pontos <- bind_rows(list(grow=predirig, mort= predirim, rec=predirir), .id="vital")%>% 
-  mutate(term = fct_relevel(term, "quadrat", "quadrat:sp", "sp", "Residual"))
-quants <- bind_rows(list(grow=quantg,mort=quantm, rec=quantr), .id="vital")%>% 
-  mutate(term = fct_relevel(term, "quadrat", "quadrat:sp", "sp", "Residual"))
-
# pvalues
-res <- data.frame(vital = c("grow", "mort", "rec"),
-                  P = NA,
-                  term = "Residual")
-
-test <- summary(mgrow)
-vals <- as.data.frame(test$coef.mat)[1:6,]
-vals$coef <- names(test$coefficients)[1:6]
-valsg <- vals[ grep("log.rich", vals$coef),] %>% 
-  mutate(term=c("quadrat", "sp", "quadrat:sp"))
-test <- summary(mmort)
-vals <- as.data.frame(test$coef.mat)[1:6,]
-vals$coef <- names(test$coefficients)[1:6]
-valsm <- vals[ grep("log.rich", vals$coef),] %>% 
-  mutate(term=c("quadrat", "sp", "quadrat:sp"))
-test <- summary(mrec)
-vals <- as.data.frame(test$coef.mat)[1:6,]
-vals$coef <- names(test$coefficients)[1:6]
-valsr <- vals[ grep("log.rich", vals$coef),] %>% 
-  mutate(term=c("quadrat", "sp", "quadrat:sp")) 
-
-pvals <- bind_rows(list(grow=valsg,mort=valsm,rec=valsr), .id="vital") %>%
-  dplyr::select(vital,`Pr(>|z|)`, term) %>% rename(P = `Pr(>|z|)`)
-pvals <- rbind(pvals,res) %>% 
-  mutate(term = fct_relevel(term, "quadrat", "quadrat:sp", "sp", "Residual"))
-
-pvals$x <- 300
-pvals$y <- 0.70
-pvals$sig <- "ns"
-pvals$sig[which(pvals$P < 0.016667)] <- paste0("p = ", round(pvals$P[which(pvals$P < 0.016667)],3))
-pvals$sig[pvals$term=="Residual"] <- ""
-pvals$sig[pvals$sig=="p = 0"] <- "p < 0.001"
-
cfs <- bind_rows(list(grow=valsg,mort=valsm,rec=valsr), .id="vital") %>%
-  select(vital, coef,term, Estimate, `Std. Error`,`Pr(>|z|)`)
-ggplot(cfs, aes(x=Estimate, y=term, col=term)) +
-  facet_grid(~vital) +
-  geom_point() + 
-  geom_linerange(aes(xmin=Estimate-`Std. Error`, xmax=Estimate+`Std. Error`))+
-  geom_vline(xintercept = 0, linetype="dashed") +
-  ggtitle("Log.Rich Estimates + Std.Error")
-

-
library(wesanderson) #better colour palette
-# Gradient color para latitutde
-pal <- wes_palette("Zissou1",21, type = "continuous")[21:1] # azul frio-temperado
-
fdiri_lat <-ggplot(predis, aes(x=rich.o, y=pred)) +
-  geom_line(size=1) +
-  facet_grid(vital~term, labeller=grpvit) +
-  geom_smooth(data=quants,aes(x=rich.o, y=lower), se=F, size=0.1)+
-  geom_smooth(data=quants,aes(x=rich.o, y=upper), se=F, size=0.1)  +
-  geom_ribbon(data=quants,aes(x=rich.o, ymin=lower, ymax=upper,
-                              y=mean), alpha=0.05, fill="blue",
-              size=0)+
-  geom_point(data=pontos, aes(x=richness.rarefaction, y=VPC, fill=abs(lat)),
-             col="black", size=2.5, pch=21)+
-  scale_fill_gradientn(colors=pal) +
-  scale_y_continuous(minor_breaks = NULL) +
-  scale_x_log10() +
-  geom_text(data=pvals, aes(x=x,y=y, label=sig), size=3, hjust=1,vjust=0,
-            col="black")+
-  
-  xlab("Species richness")+
-  ylab("VPC") +
-  theme_cowplot() +
-  theme(panel.background = element_rect(colour="lightgray"),
-        legend.position = "none")
-fdiri_lat
-

-
png(here("figures", "FIG_4_dirichlet_regressions.png"), height = 600, width=800, res=100)
-fdiri_lat
-dev.off()
+
source(here("scripts", "prediction_intervals_dirichlet.R"), local=T)
+
predis <- bind_rows(list(grow=newpredg, mort=newpredm, rec=newpredr),
+                    .id="vital") %>% 
+  mutate(term = fct_relevel(term, "quadrat", "quadrat:sp", "sp","Residual"))
+
+pontos <- bind_rows(list(grow=predirig, mort= predirim, rec=predirir), .id="vital")%>% 
+  mutate(term = fct_relevel(term, "quadrat", "quadrat:sp", "sp", "Residual"))
+quants <- bind_rows(list(grow=quantg,mort=quantm, rec=quantr), .id="vital")%>% 
+  mutate(term = fct_relevel(term, "quadrat", "quadrat:sp", "sp", "Residual"))
+
# pvalues
+res <- data.frame(vital = c("grow", "mort", "rec"),
+                  P = NA,
+                  term = "Residual")
+
+test <- summary(mgrow)
+vals <- as.data.frame(test$coef.mat)[1:6,]
+vals$coef <- names(test$coefficients)[1:6]
+valsg <- vals[ grep("log.rich", vals$coef),] %>% 
+  mutate(term=c("quadrat", "sp", "quadrat:sp"))
+test <- summary(mmort)
+vals <- as.data.frame(test$coef.mat)[1:6,]
+vals$coef <- names(test$coefficients)[1:6]
+valsm <- vals[ grep("log.rich", vals$coef),] %>% 
+  mutate(term=c("quadrat", "sp", "quadrat:sp"))
+test <- summary(mrec)
+vals <- as.data.frame(test$coef.mat)[1:6,]
+vals$coef <- names(test$coefficients)[1:6]
+valsr <- vals[ grep("log.rich", vals$coef),] %>% 
+  mutate(term=c("quadrat", "sp", "quadrat:sp")) 
+
+pvals <- bind_rows(list(grow=valsg,mort=valsm,rec=valsr), .id="vital") %>%
+  dplyr::select(vital,`Pr(>|z|)`, term) %>% rename(P = `Pr(>|z|)`)
+pvals <- rbind(pvals,res) %>% 
+  mutate(term = fct_relevel(term, "quadrat", "quadrat:sp", "sp", "Residual"))
+
+pvals$x <- 300
+pvals$y <- 0.70
+pvals$sig <- "ns"
+pvals$sig[which(pvals$P < 0.016667)] <- paste0("p = ", round(pvals$P[which(pvals$P < 0.016667)],3))
+pvals$sig[pvals$term=="Residual"] <- ""
+pvals$sig[pvals$sig=="p = 0"] <- "p < 0.001"
+
cfs <- bind_rows(list(grow=valsg,mort=valsm,rec=valsr), .id="vital") %>%
+  select(vital, coef,term, Estimate, `Std. Error`,`Pr(>|z|)`)
+ggplot(cfs, aes(x=Estimate, y=term, col=term)) +
+  facet_grid(~vital) +
+  geom_point() + 
+  geom_linerange(aes(xmin=Estimate-`Std. Error`, xmax=Estimate+`Std. Error`))+
+  geom_vline(xintercept = 0, linetype="dashed") +
+  ggtitle("Log.Rich Estimates + Std.Error")
+

+
library(wesanderson) #better colour palette
+# Gradient color para latitutde
+pal <- wes_palette("Zissou1",21, type = "continuous")[21:1] # azul frio-temperado
+
fdiri_lat <-ggplot(predis, aes(x=rich.o, y=pred)) +
+  geom_line(size=1) +
+  facet_grid(vital~term, labeller=grpvit) +
+  geom_smooth(data=quants,aes(x=rich.o, y=lower), se=F, size=0.1)+
+  geom_smooth(data=quants,aes(x=rich.o, y=upper), se=F, size=0.1)  +
+  geom_ribbon(data=quants,aes(x=rich.o, ymin=lower, ymax=upper,
+                              y=mean), alpha=0.05, fill="blue",
+              size=0)+
+  geom_point(data=pontos, aes(x=richness.rarefaction, y=VPC, fill=abs(lat)),
+             col="black", size=2.5, pch=21)+
+  scale_fill_gradientn(colors=pal) +
+  scale_y_continuous(minor_breaks = NULL) +
+  scale_x_log10() +
+  geom_text(data=pvals, aes(x=x,y=y, label=sig), size=3, hjust=1,vjust=0,
+            col="black")+
+  
+  xlab("Species richness")+
+  ylab("VPC") +
+  theme_cowplot() +
+  theme(panel.background = element_rect(colour="lightgray"),
+        legend.position = "none")
+fdiri_lat
+

+
png(here("figures", "FIG_4_dirichlet_regressions.png"), height = 600, width=800, res=100)
+fdiri_lat
+dev.off()
## quartz_off_screen 
 ##                 2
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