Input Data

brood <- read_csv("brood.csv")
brood$colony <- as.factor(brood$colony)
brood$treatment <- as.factor(brood$treatment)
brood$block <- as.factor(brood$replicate)


pollen <- read_csv("pollen.csv")
pollen$colony <- as.factor(pollen$colony)
pollen$treatment <- as.factor(pollen$treatment)
pollen$block <- as.factor(pollen$block)

workers <- read_csv("workers.csv")
workers$colony <- as.factor(workers$colony)
workers$treatment <- as.factor(workers$treatment)
workers$block <- as.factor(workers$block)
workers$qro <- as.factor(workers$qro)
workers$inoculate <- as.logical(workers$inoculate)

workers_dry <- read_csv("workers_dry.csv")
workers_dry$colony <- as.factor(workers_dry$colony)
workers_dry$treatment <- as.factor(workers_dry$treatment)
workers_dry$block <- as.factor(workers_dry$block)
workers_dry$qro <- as.factor(workers_dry$qro)
workers_dry$inoculate <- as.logical(workers_dry$inoculate)


duration <- read_csv("duration.csv")
duration$treatment <- as.factor(duration$treatment)
duration$block <- as.factor(duration$block)
duration$colony <- as.factor(duration$colony)
duration$qro <- as.factor(duration$qro)

drones <- read_csv("drones.csv")
drones$treatment <- as.factor(drones$treatment)
drones$block <- as.factor(drones$block)
drones$colony <- as.factor(drones$colony)
drones$id <- as.factor(drones$id)
drones$abdomen_post_ethyl <- as.numeric(drones$abdomen_post_ethyl)

drones_rf <- read_csv("drones_rf.csv")
drones_rf$treatment <- as.factor(drones_rf$treatment)
drones_rf$block <- as.factor(drones_rf$block)
drones_rf$colony <- as.factor(drones_rf$colony)
drones_rf$id <- as.factor(drones_rf$id)
drones_rf$abdomen_post_ethyl <- as.numeric(drones_rf$abdomen_post_ethyl)

qro <- read_csv("qro.csv")
qro$colony <- as.factor(qro$colony)
qro$qro <- as.factor(qro$qro)
qro$fungicide <- as.logical(qro$fungicide)
qro$crithidia <- as.logical(qro$crithidia)
qro_simple <- qro[c('colony', 'qro', 'fungicide', 'crithidia')]
qro_pol <- qro[c('colony', 'qro')]

pollen <- merge(pollen, qro_pol, by = "colony", all = FALSE)

brood1 <- merge(brood, duration, by = "colony", all = FALSE)

custom_labels <- c("Control", "Fungicide",  "Fungicide + Crithidia", "Crithidia")

avg.pol <- pollen %>%
  group_by(colony) %>%
  summarise(avg.pol = mean(whole_dif))
  
duration <- merge(duration, avg.pol, by = "colony", all = FALSE)

new_dataframe <- duration[c('colony', 'days_active')]
brood <- merge(qro_simple, brood, by = "colony", all = FALSE)
workers <- merge(new_dataframe, workers, by = "colony", all = FALSE)

qpcr <- read_csv("qPCR results final.csv", 
    col_types = cols(treatment = col_factor(levels = c("3", 
        "4")), replicate = col_factor(levels = c("1", 
        "4", "6", "7", "8", "9", "10", "11", 
        "12")), start = col_date(format = "%m/%d/%Y"), 
        Innoculation_date = col_date(format = "%m/%d/%Y"), 
        date = col_date(format = "%m/%d/%Y"), 
        round = col_factor(levels = c("1", 
            "2", "3")), trial = col_skip()))

qpcr$colony <- as.factor(qpcr$colony)
qpcr$bee_id <- as.factor(qpcr$bee_id)
qpcr$spores <- as.double(qpcr$spores)
## Warning: NAs introduced by coercion

Collinearity

# brood cells
brood.col <- lm(brood_cells~ treatment.x + block.x + workers_alive.x + qro + days_active + avg_pollen, data = brood1)
Anova(brood.col)
## Anova Table (Type II tests)
## 
## Response: brood_cells
##                  Sum Sq Df F value    Pr(>F)    
## treatment.x      244.75  3  2.3913   0.09739 .  
## block.x           29.69  4  0.2175   0.92569    
## workers_alive.x  202.62  1  5.9392   0.02379 *  
## qro                      0                      
## days_active        0.53  1  0.0154   0.90241    
## avg_pollen      1696.95  1 49.7397 5.839e-07 ***
## Residuals        716.45 21                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
drop1(brood.col, test = "Chisq")
## Single term deletions
## 
## Model:
## brood_cells ~ treatment.x + block.x + workers_alive.x + qro + 
##     days_active + avg_pollen
##                 Df Sum of Sq     RSS    AIC  Pr(>Chi)    
## <none>                        716.45 137.67              
## treatment.x      3    244.75  961.20 142.25   0.01423 *  
## block.x          4     29.69  746.14 131.13   0.83343    
## workers_alive.x  1    202.62  919.07 144.63   0.00275 ** 
## qro              0      0.00  716.45 137.67              
## days_active      1      0.53  716.98 135.69   0.87094    
## avg_pollen       1   1696.95 2413.40 179.39 3.786e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
b1 <- update(brood.col, .~. -qro)
vif(b1)
##                     GVIF Df GVIF^(1/(2*Df))
## treatment.x     1.486219  3        1.068269
## block.x         8.358495  8        1.141913
## workers_alive.x 3.822801  1        1.955198
## days_active     3.191570  1        1.786497
## avg_pollen      5.733278  1        2.394426
b2 <- update(b1, .~. -block.x)
anova(brood.col, b1, b2)
## Analysis of Variance Table
## 
## Model 1: brood_cells ~ treatment.x + block.x + workers_alive.x + qro + 
##     days_active + avg_pollen
## Model 2: brood_cells ~ treatment.x + block.x + workers_alive.x + days_active + 
##     avg_pollen
## Model 3: brood_cells ~ treatment.x + workers_alive.x + days_active + avg_pollen
##   Res.Df     RSS Df Sum of Sq      F    Pr(>F)    
## 1     21  716.45                                  
## 2     21  716.45  0       0.0                     
## 3     29 2481.73 -8   -1765.3 6.4678 0.0002799 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
AIC(b1, b2)
##    df      AIC
## b1 16 241.8320
## b2  8 270.5585
vif(b2)
##                     GVIF Df GVIF^(1/(2*Df))
## treatment.x     1.238327  3        1.036269
## workers_alive.x 2.424156  1        1.556970
## days_active     1.734039  1        1.316829
## avg_pollen      2.116179  1        1.454709
drop1(b2, test = "Chisq")
## Single term deletions
## 
## Model:
## brood_cells ~ treatment.x + workers_alive.x + days_active + avg_pollen
##                 Df Sum of Sq    RSS    AIC  Pr(>Chi)    
## <none>                       2481.7 166.40              
## treatment.x      3     338.4 2820.2 165.00   0.20336    
## workers_alive.x  1     263.1 2744.9 168.02   0.05682 .  
## days_active      1     346.5 2828.3 169.10   0.03007 *  
## avg_pollen       1    7460.0 9941.7 214.35 1.569e-12 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
anova(b1, b2)
## Analysis of Variance Table
## 
## Model 1: brood_cells ~ treatment.x + block.x + workers_alive.x + days_active + 
##     avg_pollen
## Model 2: brood_cells ~ treatment.x + workers_alive.x + days_active + avg_pollen
##   Res.Df     RSS Df Sum of Sq      F    Pr(>F)    
## 1     21  716.45                                  
## 2     29 2481.73 -8   -1765.3 6.4678 0.0002799 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
anova(b1, brood.col)
## Analysis of Variance Table
## 
## Model 1: brood_cells ~ treatment.x + block.x + workers_alive.x + days_active + 
##     avg_pollen
## Model 2: brood_cells ~ treatment.x + block.x + workers_alive.x + qro + 
##     days_active + avg_pollen
##   Res.Df    RSS Df Sum of Sq F Pr(>F)
## 1     21 716.45                      
## 2     21 716.45  0         0
drop1(b1, test = "Chisq")
## Single term deletions
## 
## Model:
## brood_cells ~ treatment.x + block.x + workers_alive.x + days_active + 
##     avg_pollen
##                 Df Sum of Sq     RSS    AIC  Pr(>Chi)    
## <none>                        716.45 137.67              
## treatment.x      3    244.75  961.20 142.25   0.01423 *  
## block.x          8   1765.28 2481.73 166.40 4.146e-07 ***
## workers_alive.x  1    202.62  919.07 144.63   0.00275 ** 
## days_active      1      0.53  716.98 135.69   0.87094    
## avg_pollen       1   1696.95 2413.40 179.39 3.786e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
b2 <- update(b1, .~. -days_active)
vif(b2)
##                     GVIF Df GVIF^(1/(2*Df))
## treatment.x     1.362270  3        1.052876
## block.x         4.541324  8        1.099193
## workers_alive.x 3.361139  1        1.833341
## avg_pollen      5.615940  1        2.369797
AIC(b1, b2)
##    df      AIC
## b1 16 241.8320
## b2 15 239.8584
anova(b1, b2)
## Analysis of Variance Table
## 
## Model 1: brood_cells ~ treatment.x + block.x + workers_alive.x + days_active + 
##     avg_pollen
## Model 2: brood_cells ~ treatment.x + block.x + workers_alive.x + avg_pollen
##   Res.Df    RSS Df Sum of Sq      F Pr(>F)
## 1     21 716.45                           
## 2     22 716.98 -1  -0.52545 0.0154 0.9024
drop1(b2, test = "Chisq")
## Single term deletions
## 
## Model:
## brood_cells ~ treatment.x + block.x + workers_alive.x + avg_pollen
##                 Df Sum of Sq     RSS    AIC  Pr(>Chi)    
## <none>                        716.98 135.69              
## treatment.x      3    246.29  963.26 140.32  0.013902 *  
## block.x          8   2111.28 2828.26 169.10 5.316e-08 ***
## workers_alive.x  1    222.37  939.35 143.42  0.001818 ** 
## avg_pollen       1   1723.70 2440.67 177.79 3.121e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
#don't include qro

Average pollen consumed per colony

pol_consum_sum <- pollen %>%
  group_by(colony) %>%
  summarise(mean.pollen = mean(whole_dif))

pol_consum_sum <- as.data.frame(pol_consum_sum)

workers <- merge(workers, pol_consum_sum, by = "colony", all = FALSE)
#brood <- merge(brood, pol_consum_sum, by = "colony", all = FALSE)
duration <- merge(duration, pol_consum_sum, by = "colony", all = FALSE)
pollen$count <- as.factor(pollen$`pollen ball id`)


#drones <- na.omit(drones)
#brood <- na.omit(brood)

Pollen Consumption

shapiro.test(pollen$whole_dif)
## 
##  Shapiro-Wilk normality test
## 
## data:  pollen$whole_dif
## W = 0.77483, p-value < 2.2e-16
hist(pollen$whole_dif)

range(pollen$whole_dif)
## [1] 0.03316 1.39545
pollen$box <- bcPower(pollen$whole_dif, -4, gamma=1)
shapiro.test(pollen$box)
## 
##  Shapiro-Wilk normality test
## 
## data:  pollen$box
## W = 0.94829, p-value = 1.356e-15
hist(pollen$box)

pollen$log <- log(pollen$whole_dif)
shapiro.test(pollen$log)
## 
##  Shapiro-Wilk normality test
## 
## data:  pollen$log
## W = 0.93499, p-value < 2.2e-16
hist(pollen$log)

pollen$square <- pollen$whole_dif^2
shapiro.test(pollen$square)
## 
##  Shapiro-Wilk normality test
## 
## data:  pollen$square
## W = 0.62065, p-value < 2.2e-16
hist(pollen$square)

pollen$root <- sqrt(pollen$whole_dif)
shapiro.test(pollen$root)
## 
##  Shapiro-Wilk normality test
## 
## data:  pollen$root
## W = 0.86233, p-value < 2.2e-16
hist(pollen$root)

descdist(pollen$whole_dif, discrete = FALSE)

## summary statistics
## ------
## min:  0.03316   max:  1.39545 
## median:  0.27686 
## mean:  0.4042769 
## estimated sd:  0.3016975 
## estimated skewness:  1.532669 
## estimated kurtosis:  4.289505
ggplot(pollen, aes(x = box, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.01, col = I("black")) +
  scale_fill_viridis_d() +  # Use viridis_d() for the color-blind friendly palette
  ggtitle("Pollen Consumption(g)") +
  labs(y = "Count", x = "Pollen (g)")

pollen$count <- as.numeric(pollen$count)
pollen$fungicide <- as.logical(pollen$fungicide)
pollen$crithidia <- as.logical(pollen$crithidia)
pollen$id <- as.factor(pollen$`pollen ball id`)

pol.mod <- lmer(whole_dif ~ fungicide*crithidia + id + block + count + workers_alive + (1|colony), data = pollen)
drop1(pol.mod, test = "Chisq")
## Single term deletions
## 
## Model:
## whole_dif ~ fungicide * crithidia + id + block + count + workers_alive + 
##     (1 | colony)
##                     npar     AIC     LRT   Pr(Chi)    
## <none>                   -460.06                      
## id                    23 -286.07 219.985 < 2.2e-16 ***
## block                  8 -435.85  40.209 2.929e-06 ***
## count                  0 -460.06   0.000              
## workers_alive          1 -404.13  57.931 2.714e-14 ***
## fungicide:crithidia    1 -462.02   0.035     0.851    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
pm1 <- update(pol.mod, .~. -count)
drop1(pm1, test = "Chisq")
## Single term deletions
## 
## Model:
## whole_dif ~ fungicide + crithidia + id + block + workers_alive + 
##     (1 | colony) + fungicide:crithidia
##                     npar     AIC    LRT   Pr(Chi)    
## <none>                   -460.06                     
## id                    24  -86.35 421.71 < 2.2e-16 ***
## block                  8 -435.85  40.21 2.929e-06 ***
## workers_alive          1 -404.13  57.93 2.714e-14 ***
## fungicide:crithidia    1 -462.02   0.04     0.851    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
pol.mod1 <- lmer(whole_dif ~ fungicide + crithidia + block + id + workers_alive + (1|colony), data = pollen)
drop1(pol.mod1, test = "Chisq")
## Single term deletions
## 
## Model:
## whole_dif ~ fungicide + crithidia + block + id + workers_alive + 
##     (1 | colony)
##               npar     AIC    LRT   Pr(Chi)    
## <none>             -462.02                     
## fungicide        1 -462.21   1.82   0.17744    
## crithidia        1 -460.01   4.02   0.04506 *  
## block            8 -437.84  40.19 2.957e-06 ***
## id              24  -88.33 421.70 < 2.2e-16 ***
## workers_alive    1 -406.11  57.91 2.738e-14 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
qqnorm(resid(pol.mod1));qqline(resid(pol.mod1))

#this model says: average pollen consumed ~ yes/no Fung + yes/no Crit. + workers surviving when colony was frozen + time (id is pollen ball id, meaning it is the pollen ball number) + block + random effect of colony) 

pe <- emmeans(pol.mod1, pairwise ~ crithidia, type = "response")
pe
## $emmeans
##  crithidia emmean     SE   df lower.CL upper.CL
##  FALSE      0.464 0.0319 27.9    0.399    0.530
##   TRUE      0.388 0.0320 28.2    0.323    0.454
## 
## Results are averaged over the levels of: fungicide, block, id 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast     estimate    SE   df t.ratio p.value
##  FALSE - TRUE   0.0758 0.044 25.4   1.722  0.0973
## 
## Results are averaged over the levels of: fungicide, block, id 
## Degrees-of-freedom method: kenward-roger
library(glmmTMB)
pol.glmm1 <- glmmTMB(whole_dif ~ fungicide*crithidia + workers_alive + block + id + (1|colony), data = pollen)
summary(pol.glmm1)
##  Family: gaussian  ( identity )
## Formula:          
## whole_dif ~ fungicide * crithidia + workers_alive + block + id +  
##     (1 | colony)
## Data: pollen
## 
##      AIC      BIC   logLik deviance df.resid 
##   -460.1   -279.6    269.0   -538.1      716 
## 
## Random effects:
## 
## Conditional model:
##  Groups   Name        Variance Std.Dev.
##  colony   (Intercept) 0.01066  0.1032  
##  Residual             0.02577  0.1605  
## Number of obs: 755, groups:  colony, 36
## 
## Dispersion estimate for gaussian family (sigma^2): 0.0258 
## 
## Conditional model:
##                              Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                 -0.181489   0.090823  -1.998 0.045687 *  
## fungicideTRUE               -0.042846   0.051573  -0.831 0.406094    
## crithidiaTRUE               -0.068435   0.051804  -1.321 0.186489    
## workers_alive                0.083882   0.010786   7.777 7.42e-15 ***
## block4                       0.433802   0.077369   5.607 2.06e-08 ***
## block6                      -0.117723   0.076878  -1.531 0.125694    
## block7                       0.084247   0.077590   1.086 0.277572    
## block8                       0.164267   0.077256   2.126 0.033482 *  
## block9                       0.036582   0.077197   0.474 0.635589    
## block10                      0.266068   0.077299   3.442 0.000577 ***
## block11                     -0.027382   0.077413  -0.354 0.723553    
## block12                      0.099556   0.077150   1.290 0.196904    
## id3                         -0.038660   0.037864  -1.021 0.307244    
## id4                         -0.036851   0.038449  -0.958 0.337851    
## id5                         -0.040024   0.038150  -1.049 0.294131    
## id6                         -0.051089   0.038163  -1.339 0.180658    
## id7                         -0.007163   0.037940  -0.189 0.850253    
## id8                          0.042733   0.037974   1.125 0.260448    
## id9                          0.092730   0.038025   2.439 0.014742 *  
## id10                         0.202909   0.038054   5.332 9.71e-08 ***
## id11                         0.346610   0.038193   9.075  < 2e-16 ***
## id12                         0.389216   0.038040  10.232  < 2e-16 ***
## id13                         0.359250   0.038369   9.363  < 2e-16 ***
## id14                         0.309928   0.038582   8.033 9.51e-16 ***
## id15                         0.293200   0.038582   7.599 2.97e-14 ***
## id16                         0.293770   0.038641   7.603 2.90e-14 ***
## id17                         0.292566   0.038765   7.547 4.45e-14 ***
## id18                         0.314074   0.039040   8.045 8.63e-16 ***
## id19                         0.306038   0.039190   7.809 5.76e-15 ***
## id20                         0.288617   0.039517   7.304 2.80e-13 ***
## id21                         0.247867   0.043494   5.699 1.21e-08 ***
## id22                         0.263248   0.052692   4.996 5.85e-07 ***
## id23                         0.283535   0.057731   4.911 9.05e-07 ***
## id24                         0.298766   0.062538   4.777 1.78e-06 ***
## id25                         0.312301   0.065417   4.774 1.81e-06 ***
## id26                         0.161324   0.167332   0.964 0.334997    
## fungicideTRUE:crithidiaTRUE -0.013680   0.072800  -0.188 0.850941    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
drop1(pol.glmm1, test = "Chisq")
## Single term deletions
## 
## Model:
## whole_dif ~ fungicide * crithidia + workers_alive + block + id + 
##     (1 | colony)
##                     Df     AIC    LRT  Pr(>Chi)    
## <none>                 -460.06                     
## workers_alive        1 -404.13  57.93 2.714e-14 ***
## block                8 -435.85  40.21 2.929e-06 ***
## id                  24  -86.35 421.71 < 2.2e-16 ***
## fungicide:crithidia  1 -462.02   0.04     0.851    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
pol.glmm <- glmmTMB(whole_dif ~ fungicide + crithidia + workers_alive + block + id + (1|colony), data = pollen)
summary(pol.glmm)
##  Family: gaussian  ( identity )
## Formula:          
## whole_dif ~ fungicide + crithidia + workers_alive + block + id +  
##     (1 | colony)
## Data: pollen
## 
##      AIC      BIC   logLik deviance df.resid 
##   -462.0   -286.2    269.0   -538.0      717 
## 
## Random effects:
## 
## Conditional model:
##  Groups   Name        Variance Std.Dev.
##  colony   (Intercept) 0.01067  0.1033  
##  Residual             0.02577  0.1605  
## Number of obs: 755, groups:  colony, 36
## 
## Dispersion estimate for gaussian family (sigma^2): 0.0258 
## 
## Conditional model:
##                Estimate Std. Error z value Pr(>|z|)    
## (Intercept)   -0.177568   0.088424  -2.008 0.044628 *  
## fungicideTRUE -0.049708   0.036436  -1.364 0.172488    
## crithidiaTRUE -0.075321   0.036644  -2.055 0.039834 *  
## workers_alive  0.083791   0.010774   7.777 7.44e-15 ***
## block4         0.433844   0.077408   5.605 2.09e-08 ***
## block6        -0.117707   0.076918  -1.530 0.125943    
## block7         0.084195   0.077630   1.085 0.278111    
## block8         0.164291   0.077296   2.125 0.033547 *  
## block9         0.036601   0.077237   0.474 0.635592    
## block10        0.266073   0.077339   3.440 0.000581 ***
## block11       -0.027412   0.077453  -0.354 0.723404    
## block12        0.099555   0.077190   1.290 0.197140    
## id3           -0.038664   0.037864  -1.021 0.307189    
## id4           -0.036878   0.038449  -0.959 0.337494    
## id5           -0.040040   0.038150  -1.050 0.293939    
## id6           -0.051128   0.038162  -1.340 0.180322    
## id7           -0.007217   0.037939  -0.190 0.849135    
## id8            0.042690   0.037973   1.124 0.260924    
## id9            0.092682   0.038024   2.437 0.014791 *  
## id10           0.202858   0.038053   5.331 9.77e-08 ***
## id11           0.346550   0.038192   9.074  < 2e-16 ***
## id12           0.389160   0.038039  10.231  < 2e-16 ***
## id13           0.359180   0.038367   9.362  < 2e-16 ***
## id14           0.309847   0.038579   8.031 9.64e-16 ***
## id15           0.293119   0.038579   7.598 3.01e-14 ***
## id16           0.293687   0.038638   7.601 2.94e-14 ***
## id17           0.292479   0.038762   7.546 4.51e-14 ***
## id18           0.313975   0.039036   8.043 8.75e-16 ***
## id19           0.305936   0.039186   7.807 5.85e-15 ***
## id20           0.288504   0.039512   7.302 2.84e-13 ***
## id21           0.247715   0.043487   5.696 1.22e-08 ***
## id22           0.263106   0.052687   4.994 5.92e-07 ***
## id23           0.283290   0.057716   4.908 9.19e-07 ***
## id24           0.298489   0.062521   4.774 1.80e-06 ***
## id25           0.312040   0.065402   4.771 1.83e-06 ***
## id26           0.160790   0.167306   0.961 0.336524    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
drop1(pol.glmm, test = "Chisq")
## Single term deletions
## 
## Model:
## whole_dif ~ fungicide + crithidia + workers_alive + block + id + 
##     (1 | colony)
##               Df     AIC    LRT  Pr(>Chi)    
## <none>           -462.02                     
## fungicide      1 -462.21   1.82   0.17744    
## crithidia      1 -460.01   4.02   0.04506 *  
## workers_alive  1 -406.11  57.91 2.738e-14 ***
## block          8 -437.84  40.19 2.957e-06 ***
## id            24  -88.33 421.70 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
qqnorm(resid(pol.glmm));qqline(resid(pol.glmm))

pe <- emmeans(pol.glmm, pairwise ~ crithidia, type = "response")
pe
## $emmeans
##  crithidia emmean     SE  df lower.CL upper.CL
##  FALSE      0.464 0.0268 717    0.411    0.517
##   TRUE      0.389 0.0269 717    0.336    0.441
## 
## Results are averaged over the levels of: fungicide, block, id 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast     estimate     SE  df t.ratio p.value
##  FALSE - TRUE   0.0753 0.0366 717   2.055  0.0402
## 
## Results are averaged over the levels of: fungicide, block, id
AIC(pol.glmm, pol.glmm1)
##           df       AIC
## pol.glmm  38 -462.0243
## pol.glmm1 39 -460.0596
Anova(pol.glmm)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: whole_dif
##                  Chisq Df Pr(>Chisq)    
## fungicide       1.8612  1    0.17249    
## crithidia       4.2249  1    0.03983 *  
## workers_alive  60.4788  1  7.437e-15 ***
## block          73.4485  8  1.008e-12 ***
## id            566.6711 24  < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
ggplot(data = pollen, aes(x = count, y = whole_dif, fill = treatment)) +
  geom_smooth() +
  labs(x = "Time", y = "Mean Pollen Consumed (g)")

pollen_sum <- pollen %>%
  group_by(treatment) %>%
  summarise(mean = mean(whole_dif),
            sd = sd(whole_dif),
            n = length(whole_dif)) %>%
  mutate(se = sd/sqrt(n))

pollen_box_sum <- pollen %>%
  group_by(treatment) %>%
  summarise(mean = mean(box),
            sd = sd(box),
            n = length(box)) %>%
  mutate(se = sd/sqrt(n))

pollen_sum 
## # A tibble: 4 × 5
##   treatment  mean    sd     n     se
##   <fct>     <dbl> <dbl> <int>  <dbl>
## 1 1         0.493 0.333   184 0.0245
## 2 2         0.426 0.317   188 0.0231
## 3 3         0.327 0.250   195 0.0179
## 4 4         0.376 0.280   188 0.0204
pollen_box_sum
## # A tibble: 4 × 5
##   treatment  mean     sd     n      se
##   <fct>     <dbl>  <dbl> <int>   <dbl>
## 1 1         0.178 0.0430   184 0.00317
## 2 2         0.167 0.0428   188 0.00312
## 3 3         0.152 0.0380   195 0.00272
## 4 4         0.160 0.0418   188 0.00305
pollen_sum$plot <- pollen_sum$mean + pollen_sum$se
ggplot(data = pollen_sum, aes(x = treatment, y = mean, fill = treatment)) +
   geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0.4, 0),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) +
   coord_cartesian(ylim = c(0, 0.55)) +
  geom_errorbar(aes(ymin = mean - se, ymax = mean + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Average Pollen Consumed (g)") +
  annotate(
    geom = "text",
    x = 3,
    y = 0.55,
    label = "P = 0.04",
    size = 8
  ) + 
  theme_classic(base_size = 20) +
  scale_fill_manual(values = c("lightgreen", "lightblue", "lightblue", "grey")) +
  scale_pattern_manual(values = c("none", "none", "stripe", "none")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none") +
   geom_segment(x = 1, xend = 2, y = 0.54, yend = 0.54, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 1, xend = 1, y = 0.54, yend = 0.53, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 2, xend = 2, y = 0.54, yend = 0.53, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 3, xend = 4, y = 0.42, yend = 0.42, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 3, xend = 3, y = 0.42, yend = 0.41, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 4, xend = 4, y = 0.42, yend = 0.41, 
               lineend = "round", linejoin = "round") +
  geom_text(x = 1.5, y = 0.55, label = "a", size = 6, vjust = -0.5) +
  geom_text(x = 3.5, y = 0.43, label = "b", size = 6, vjust = -0.5)

Worker Survival

duration$fungicide <- as.logical(duration$fungicide)
duration$crithidia <- as.logical(duration$crithidia)

cbw1 <- glm(cbind(workers_alive, workers_dead) ~ fungicide*crithidia + mean.pollen + block + days_active, data = duration, family = binomial("logit"))
Anova(cbw1)
## Analysis of Deviance Table (Type II tests)
## 
## Response: cbind(workers_alive, workers_dead)
##                     LR Chisq Df Pr(>Chisq)    
## fungicide             0.6516  1    0.41956    
## crithidia             2.9046  1    0.08832 .  
## mean.pollen          18.2550  1  1.932e-05 ***
## block                19.1268  8    0.01420 *  
## days_active           1.4265  1    0.23234    
## fungicide:crithidia   1.3554  1    0.24434    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
drop1(cbw1, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(workers_alive, workers_dead) ~ fungicide * crithidia + 
##     mean.pollen + block + days_active
##                     Df Deviance     AIC     LRT  Pr(>Chi)    
## <none>                   24.125  91.566                      
## mean.pollen          1   42.380 107.821 18.2550 1.932e-05 ***
## block                8   43.252  94.692 19.1268    0.0142 *  
## days_active          1   25.551  90.992  1.4265    0.2323    
## fungicide:crithidia  1   25.480  90.921  1.3554    0.2443    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
cbw1 <- glm(cbind(workers_alive, workers_dead) ~ fungicide + crithidia + mean.pollen + block + days_active, data = duration, family = binomial("logit"))
Anova(cbw1)
## Analysis of Deviance Table (Type II tests)
## 
## Response: cbind(workers_alive, workers_dead)
##             LR Chisq Df Pr(>Chisq)    
## fungicide     0.6516  1    0.41956    
## crithidia     2.9046  1    0.08832 .  
## mean.pollen  18.4715  1  1.725e-05 ***
## block        19.6722  8    0.01165 *  
## days_active   0.8626  1    0.35301    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
drop1(cbw1, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(workers_alive, workers_dead) ~ fungicide + crithidia + 
##     mean.pollen + block + days_active
##             Df Deviance     AIC     LRT  Pr(>Chi)    
## <none>           25.480  90.921                      
## fungicide    1   26.132  89.573  0.6516   0.41956    
## crithidia    1   28.385  91.826  2.9046   0.08832 .  
## mean.pollen  1   43.952 107.392 18.4715 1.725e-05 ***
## block        8   45.152  94.593 19.6722   0.01165 *  
## days_active  1   26.343  89.784  0.8626   0.35301    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
cbw2 <- update(cbw1, .~. -days_active)
drop1(cbw2, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(workers_alive, workers_dead) ~ fungicide + crithidia + 
##     mean.pollen + block
##             Df Deviance     AIC     LRT  Pr(>Chi)    
## <none>           26.343  89.784                      
## fungicide    1   27.282  88.723  0.9395  0.332394    
## crithidia    1   30.172  91.613  3.8291  0.050370 .  
## mean.pollen  1   52.833 114.274 26.4903 2.649e-07 ***
## block        8   47.521  94.962 21.1782  0.006689 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(cbw2)
## Analysis of Deviance Table (Type II tests)
## 
## Response: cbind(workers_alive, workers_dead)
##             LR Chisq Df Pr(>Chisq)    
## fungicide     0.9395  1   0.332394    
## crithidia     3.8291  1   0.050370 .  
## mean.pollen  26.4903  1  2.649e-07 ***
## block        21.1782  8   0.006689 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
qqnorm(resid(cbw2));qqline(resid(cbw2))

Anova(cbw2)
## Analysis of Deviance Table (Type II tests)
## 
## Response: cbind(workers_alive, workers_dead)
##             LR Chisq Df Pr(>Chisq)    
## fungicide     0.9395  1   0.332394    
## crithidia     3.8291  1   0.050370 .  
## mean.pollen  26.4903  1  2.649e-07 ***
## block        21.1782  8   0.006689 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(cbw2)
## 
## Call:
## glm(formula = cbind(workers_alive, workers_dead) ~ fungicide + 
##     crithidia + mean.pollen + block, family = binomial("logit"), 
##     data = duration)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -1.9252  -0.5366   0.1348   0.6577   1.5162  
## 
## Coefficients:
##                Estimate Std. Error z value Pr(>|z|)    
## (Intercept)     -2.1264     1.0823  -1.965   0.0495 *  
## fungicideTRUE    0.4218     0.4386   0.962   0.3362    
## crithidiaTRUE   -0.8727     0.4483  -1.947   0.0516 .  
## mean.pollen     10.4521     2.5014   4.179 2.93e-05 ***
## block4          14.8345  3600.7582   0.004   0.9967    
## block6           0.3860     0.7888   0.489   0.6246    
## block7          -1.1692     0.7926  -1.475   0.1402    
## block8           0.6117     0.8994   0.680   0.4965    
## block9           0.9506     0.9531   0.997   0.3186    
## block10         -2.3981     0.9979  -2.403   0.0163 *  
## block11         -0.1471     0.7723  -0.191   0.8489    
## block12         -1.9234     0.9288  -2.071   0.0384 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 104.128  on 35  degrees of freedom
## Residual deviance:  26.343  on 24  degrees of freedom
## AIC: 89.784
## 
## Number of Fisher Scoring iterations: 18
worker_sum <-duration %>%
  group_by(treatment) %>%
  summarise(m = mean(workers_alive),
            sd = sd(workers_alive))

worker_sum
## # A tibble: 4 × 3
##   treatment     m    sd
##   <fct>     <dbl> <dbl>
## 1 1          4.33 0.866
## 2 2          3.78 1.20 
## 3 3          2.78 1.86 
## 4 4          2.89 1.96
worker_sum <-duration %>%
  group_by(treatment) %>%
  summarise(m = mean(workers_alive),
            sd = sd(workers_alive),
            l = length(workers_alive)) %>%
  mutate(se = sd/sqrt(l))


worker_sum
## # A tibble: 4 × 5
##   treatment     m    sd     l    se
##   <fct>     <dbl> <dbl> <int> <dbl>
## 1 1          4.33 0.866     9 0.289
## 2 2          3.78 1.20      9 0.401
## 3 3          2.78 1.86      9 0.619
## 4 4          2.89 1.96      9 0.655
workers$prob <- workers$days_alive / workers$days_active

worker_prob_sum <-workers %>%
  group_by(treatment) %>%
  summarise(m = mean(prob),
            sd = sd(prob),
            l = length(prob)) %>%
  mutate(se = sd/sqrt(l))

worker_prob_sum$plot <- worker_prob_sum$m + worker_prob_sum$se

worker_prob_sum$treatment <- as.factor(worker_prob_sum$treatment)
ggplot(data = worker_prob_sum, aes(x = treatment, y = m, fill = treatment)) +
 geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0, 0.4),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)) +
   coord_cartesian(ylim = c(0.5, 1.05)) +
  geom_errorbar(aes(ymin = m - se, ymax = m + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Probability") +
  theme_classic(base_size = 20) +
  annotate(
    geom = "text",
    x = 1,
    y = 1.05,
    label = "P = 0.05",
    size = 7
  ) +  # Add stripes to the fourth column
  scale_fill_manual(values = c("lightgreen", "lightblue", "grey", "lightblue")) +
  scale_pattern_manual(values = c("none", "none", "none", "stripe")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none")

Days workers survive

workers$fungicide <- as.logical(workers$fungicide)
workers$crithidia <- as.logical(workers$crithidia)

dayswrk <- glmer.nb(days_alive ~ fungicide*crithidia + avg_pollen + inoculate + block + (1|colony), data = workers)
drop1(dayswrk, test = "Chisq")
## Single term deletions
## 
## Model:
## days_alive ~ fungicide * crithidia + avg_pollen + inoculate + 
##     block + (1 | colony)
##                     npar    AIC     LRT Pr(Chi)
## <none>                   1420.9                
## avg_pollen             1 1420.5  1.6542  0.1984
## inoculate              1 1418.9  0.0009  0.9755
## block                  8 1416.8 11.8861  0.1564
## fungicide:crithidia    1 1419.6  0.7004  0.4027
dayswrk <- glmer.nb(days_alive ~ fungicide + crithidia + block + inoculate + (1|colony), data = workers)
drop1(dayswrk, test = "Chisq")
## Single term deletions
## 
## Model:
## days_alive ~ fungicide + crithidia + block + inoculate + (1 | 
##     colony)
##           npar    AIC     LRT Pr(Chi)
## <none>         1419.2                
## fungicide    1 1417.3  0.1000  0.7518
## crithidia    1 1419.6  2.3437  0.1258
## block        8 1413.5 10.2617  0.2471
## inoculate    1 1417.2  0.0012  0.9719
dayswrk1 <- update(dayswrk, .~. -inoculate)
drop1(dayswrk1, test = "Chisq")
## Single term deletions
## 
## Model:
## days_alive ~ fungicide + crithidia + block + (1 | colony)
##           npar    AIC     LRT Pr(Chi)
## <none>         1417.2                
## fungicide    1 1415.3  0.1013  0.7503
## crithidia    1 1417.6  2.3458  0.1256
## block        8 1411.5 10.2611  0.2472
Anova(dayswrk1)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: days_alive
##             Chisq Df Pr(>Chisq)
## fungicide  0.1013  1     0.7503
## crithidia  2.3459  1     0.1256
## block     10.2518  8     0.2478
worker_days_sum <-workers %>%
  group_by(treatment) %>%
  summarise(m = mean(days_alive),
            sd = sd(days_alive),
            l = length(days_alive)) %>%
  mutate(se = sd/sqrt(l))

worker_days_sum$plot <- worker_days_sum$m + worker_days_sum$se

worker_days_sum$treatment <- as.factor(worker_days_sum$treatment)
ggplot(data = worker_days_sum, aes(x = treatment, y = m, fill = treatment, pattern = treatment)) +
  geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0, 0.4),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) +
   coord_cartesian(ylim = c(20, 45)) +
  geom_errorbar(aes(ymin = m - se, ymax = m + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Days") +
  theme_classic(base_size = 20) +
  annotate(
    geom = "text",
    x = 1,
    y = 45,
    label = "P > 0.05",
    size = 7
  ) + scale_fill_manual(values = c("lightgreen", "lightblue", "grey", "lightblue")) +
  scale_pattern_manual(values = c("none", "none", "none", "stripe")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none")

durmod <- glm.nb(days_active ~ fungicide + crithidia + mean.pollen + days_first_ov, data = duration)
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
drop1(durmod, test = "Chisq")
## Single term deletions
## 
## Model:
## days_active ~ fungicide + crithidia + mean.pollen + days_first_ov
##               Df Deviance    AIC     LRT Pr(>Chi)
## <none>             11.251 218.69                 
## fungicide      1   11.254 216.70 0.00314   0.9553
## crithidia      1   11.870 217.31 0.61882   0.4315
## mean.pollen    1   12.311 217.75 1.05948   0.3033
## days_first_ov  1   12.169 217.61 0.91814   0.3380
durmod <- glm.nb(days_active ~ fungicide + crithidia + mean.pollen, data = duration)
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
drop1(durmod, test = "Chisq")
## Single term deletions
## 
## Model:
## days_active ~ fungicide + crithidia + mean.pollen
##             Df Deviance    AIC    LRT Pr(>Chi)  
## <none>           12.230 223.43                  
## fungicide    1   12.233 221.43 0.0027  0.95862  
## crithidia    1   12.726 221.92 0.4959  0.48131  
## mean.pollen  1   16.626 225.82 4.3955  0.03603 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(durmod)
## 
## Call:
## glm.nb(formula = days_active ~ fungicide + crithidia + mean.pollen, 
##     data = duration, init.theta = 2545370.79, link = log)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.2314  -0.2677   0.1415   0.2977   1.1130  
## 
## Coefficients:
##                Estimate Std. Error z value Pr(>|z|)    
## (Intercept)    3.895011   0.073638  52.894   <2e-16 ***
## fungicideTRUE -0.002607   0.050247  -0.052   0.9586    
## crithidiaTRUE  0.036099   0.051271   0.704   0.4814    
## mean.pollen   -0.250560   0.120236  -2.084   0.0372 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(2545371) family taken to be 1)
## 
##     Null deviance: 18.303  on 35  degrees of freedom
## Residual deviance: 12.230  on 32  degrees of freedom
## AIC: 225.43
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  2545371 
##           Std. Err.:  66958888 
## Warning while fitting theta: iteration limit reached 
## 
##  2 x log-likelihood:  -215.427
Anova(durmod)
## Analysis of Deviance Table (Type II tests)
## 
## Response: days_active
##             LR Chisq Df Pr(>Chisq)  
## fungicide     0.0027  1    0.95862  
## crithidia     0.4959  1    0.48131  
## mean.pollen   4.3955  1    0.03603 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(duration$treatment, duration$days_active)

Worker dry weight

hist(workers_dry$dry)

shapiro.test(workers_dry$dry)
## 
##  Shapiro-Wilk normality test
## 
## data:  workers_dry$dry
## W = 0.96362, p-value = 0.0001443
workers_dry$logdry <- log(workers_dry$dry)


shapiro.test(workers_dry$logdry)
## 
##  Shapiro-Wilk normality test
## 
## data:  workers_dry$logdry
## W = 0.98991, p-value = 0.2444
hist(workers_dry$logdry)

wrkdry <- lmer(logdry ~ fungicide*crithidia + avg_pollen + inoculate +block + (1|colony), data = workers_dry)
drop1(wrkdry, test = "Chisq")
## Single term deletions
## 
## Model:
## logdry ~ fungicide * crithidia + avg_pollen + inoculate + block + 
##     (1 | colony)
##                     npar    AIC    LRT   Pr(Chi)    
## <none>                   66.754                     
## avg_pollen             1 84.670 19.916 8.092e-06 ***
## inoculate              1 64.992  0.238    0.6257    
## block                  8 86.760 36.006 1.752e-05 ***
## fungicide:crithidia    1 65.151  0.397    0.5289    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
wrkdry <- lmer(logdry ~ fungicide + crithidia + avg_pollen + inoculate +block + (1|colony), data = workers_dry)
drop1(wrkdry, test = "Chisq")
## Single term deletions
## 
## Model:
## logdry ~ fungicide + crithidia + avg_pollen + inoculate + block + 
##     (1 | colony)
##            npar    AIC    LRT   Pr(Chi)    
## <none>          65.151                     
## fungicide     1 65.866  2.715  0.099389 .  
## crithidia     1 70.823  7.672  0.005608 ** 
## avg_pollen    1 82.788 19.638 9.360e-06 ***
## inoculate     1 63.400  0.250  0.617267    
## block         8 84.831 35.680 2.009e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
wrkdry1 <- update(wrkdry, .~. -inoculate)
drop1(wrkdry1, test = "Chisq")
## Single term deletions
## 
## Model:
## logdry ~ fungicide + crithidia + avg_pollen + block + (1 | colony)
##            npar    AIC    LRT   Pr(Chi)    
## <none>          63.400                     
## fungicide     1 64.165  2.765  0.096363 .  
## crithidia     1 69.016  7.616  0.005786 ** 
## avg_pollen    1 81.172 19.772 8.725e-06 ***
## block         8 83.155 35.754 1.947e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(wrkdry1)
## Linear mixed model fit by REML ['lmerMod']
## Formula: logdry ~ fungicide + crithidia + avg_pollen + block + (1 | colony)
##    Data: workers_dry
## 
## REML criterion at convergence: 77.6
## 
## Scaled residuals: 
##      Min       1Q   Median       3Q      Max 
## -3.02299 -0.56652 -0.04535  0.61291  2.16906 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  colony   (Intercept) 0.008674 0.09313 
##  Residual             0.070615 0.26574 
## Number of obs: 177, groups:  colony, 36
## 
## Fixed effects:
##              Estimate Std. Error t value
## (Intercept) -3.133210   0.120772 -25.943
## fungicide   -0.072102   0.052330  -1.378
## crithidia   -0.130746   0.055229  -2.367
## avg_pollen   0.849884   0.203664   4.173
## block4      -0.293828   0.140549  -2.091
## block6       0.122021   0.112098   1.089
## block7      -0.126237   0.107821  -1.171
## block8       0.004312   0.110376   0.039
## block9      -0.418020   0.107027  -3.906
## block10     -0.329383   0.117314  -2.808
## block11     -0.297229   0.109508  -2.714
## block12     -0.212682   0.107617  -1.976
## 
## Correlation of Fixed Effects:
##            (Intr) fungcd crithd avg_pl block4 block6 block7 block8 block9
## fungicide  -0.386                                                        
## crithidia  -0.481  0.105                                                 
## avg_pollen -0.722  0.253  0.400                                          
## block4      0.134 -0.165 -0.260 -0.650                                   
## block6     -0.621  0.063  0.118  0.278  0.181                            
## block7     -0.399 -0.020 -0.027 -0.049  0.408  0.458                     
## block8     -0.244 -0.064 -0.101 -0.254  0.532  0.390  0.491              
## block9     -0.390 -0.018 -0.028 -0.070  0.424  0.456  0.497  0.500       
## block10    -0.103 -0.105 -0.166 -0.414  0.615  0.318  0.471  0.545  0.483
## block11    -0.565  0.054  0.080  0.181  0.252  0.515  0.474  0.425  0.474
## block12    -0.348 -0.032 -0.050 -0.126  0.459  0.438  0.497  0.512  0.504
##            blck10 blck11
## fungicide               
## crithidia               
## avg_pollen              
## block4                  
## block6                  
## block7                  
## block8                  
## block9                  
## block10                 
## block11     0.368       
## block12     0.504  0.461
Anova(wrkdry1)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: logdry
##              Chisq Df Pr(>Chisq)    
## fungicide   1.8984  1    0.16825    
## crithidia   5.6043  1    0.01792 *  
## avg_pollen 17.4136  1  3.007e-05 ***
## block      40.8700  8  2.205e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
qqnorm(resid(wrkdry1));qqline(resid(wrkdry1))

pe <- emmeans(wrkdry1, pairwise ~ crithidia, type = "response")
pe
## $emmeans
##  crithidia emmean     SE   df lower.CL upper.CL
##          0  -2.98 0.0372 23.8    -3.06    -2.91
##          1  -3.11 0.0377 24.1    -3.19    -3.04
## 
## Results are averaged over the levels of: fungicide, block 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                estimate     SE   df t.ratio p.value
##  crithidia0 - crithidia1    0.131 0.0552 23.9   2.367  0.0264
## 
## Results are averaged over the levels of: fungicide, block 
## Degrees-of-freedom method: kenward-roger
wrkdrysum <- workers_dry %>%
  group_by(treatment) %>%
  summarise(m = mean(dry),
            sd = sd(dry),
            n = length(dry)) %>%
  mutate(se = sd/sqrt(n))

wrkdrysum
## # A tibble: 4 × 5
##   treatment      m     sd     n      se
##   <fct>      <dbl>  <dbl> <int>   <dbl>
## 1 1         0.0586 0.0186    44 0.00280
## 2 2         0.0528 0.0169    45 0.00252
## 3 3         0.0416 0.0132    44 0.00199
## 4 4         0.0487 0.0182    44 0.00275
wtuk.means <- emmeans(object = wrkdry1,
                        specs = "crithidia",
                        adjust = "Tukey",
                        type = "response")

wtuk.means
##  crithidia emmean     SE   df lower.CL upper.CL
##          0  -2.98 0.0372 23.8    -3.07    -2.89
##          1  -3.11 0.0377 24.1    -3.20    -3.02
## 
## Results are averaged over the levels of: fungicide, block 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 2 estimates
w.cld.model <- cld(object = wtuk.means,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
w.cld.model
##  crithidia emmean     SE   df lower.CL upper.CL .group
##          1  -3.11 0.0377 24.1    -3.20    -3.02  a    
##          0  -2.98 0.0372 23.8    -3.07    -2.89   b   
## 
## Results are averaged over the levels of: fungicide, block 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 2 estimates 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
ggplot(data = wrkdrysum, aes(x = treatment, y = m, fill = treatment)) +
  geom_col(col = "black") +
  coord_cartesian(ylim = c(0, 0.08)) +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Worker Dry Weight (g)") +
  geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0.4, 0),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) + 
  geom_errorbar(aes(ymin = m - se, ymax = m + se), width = 0.2, position = position_dodge(0.9))  + 
  theme_classic(base_size = 20) +
  theme(legend.position = "none") +
  annotate(
    geom = "text",
    x = 4,
    y = 0.079,
    label = "P = 0.02",
    size = 7
  ) +
  theme(legend.position = "none")  +
  scale_x_discrete(labels = custom_labels) +
  scale_fill_manual(values = c("lightgreen", "lightblue", "lightblue", "grey")) +
  scale_pattern_manual(values = c("none", "none", "stripe", "none")) + 
   geom_segment(x = 1, xend = 2, y = 0.07, yend = 0.07, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 1, xend = 1, y = 0.07, yend = 0.069, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 2, xend = 2, y = 0.07, yend = 0.069, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 3, xend = 4, y = 0.06, yend = 0.06, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 3, xend = 3, y = 0.06, yend = 0.059, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 4, xend = 4, y = 0.06, yend = 0.059, 
               lineend = "round", linejoin = "round") +
  geom_text(x = 1.5, y = 0.071, label = "a", size = 6, vjust = -0.5) +
  geom_text(x = 3.5, y = 0.061, label = "b", size = 6, vjust = -0.5)

ggplot(data = wrkdrysum, aes(x = treatment, y = m, fill = treatment, pattern = treatment)) +
  geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0, 0.4),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) +
   coord_cartesian(ylim = c(0, 0.07)) +
  geom_errorbar(aes(ymin = m - se, ymax = m + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Worker Dry Weight (g)") +
  annotate(
    geom = "text",
    x = c(1, 2, 3, 4),
    y = wrkdrysum$m + wrkdrysum$se + 0.01,  # Adjust the y-position as needed
    label = c("a", "a", "b", "ab"),
    size = 8
  ) +
  theme_classic(base_size = 20) +
  annotate(
    geom = "text",
    x = 4,
    y = 0.07,
    label = "P = 0.05",
    size = 7
  ) +
  scale_fill_manual(values = c("lightgreen", "lightblue", "grey", "lightblue")) +
  scale_pattern_manual(values = c("none", "none", "none", "stripe")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none")

First Oviposition

duration$fungicide <- as.logical(duration$fungicide)
duration$crithidia <- as.logical(duration$crithidia)

ov <- glm.nb(days_first_ov ~ fungicide*crithidia + avg.pol + workers_alive + block, data = duration)
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
drop1(ov, test = "Chisq")
## Single term deletions
## 
## Model:
## days_first_ov ~ fungicide * crithidia + avg.pol + workers_alive + 
##     block
##                     Df Deviance    AIC    LRT Pr(>Chi)  
## <none>                   17.299 193.75                  
## avg.pol              1   20.216 194.67 2.9167  0.08767 .
## workers_alive        1   18.139 192.59 0.8399  0.35944  
## block                8   26.334 186.79 9.0353  0.33933  
## fungicide:crithidia  1   17.727 192.18 0.4283  0.51283  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
ov <- glm.nb(days_first_ov ~ fungicide + crithidia + avg.pol + workers_alive + block, data = duration)
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
drop1(ov, test = "Chisq")
## Single term deletions
## 
## Model:
## days_first_ov ~ fungicide + crithidia + avg.pol + workers_alive + 
##     block
##               Df Deviance    AIC    LRT Pr(>Chi)
## <none>             17.727 192.18                
## fungicide      1   17.835 190.29 0.1076   0.7429
## crithidia      1   19.227 191.68 1.4995   0.2208
## avg.pol        1   20.392 192.84 2.6647   0.1026
## workers_alive  1   18.797 191.25 1.0696   0.3010
## block          8   26.773 185.23 9.0457   0.3385
ov1 <- update(ov, .~. -block)
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
drop1(ov1, test = "Chisq")
## Single term deletions
## 
## Model:
## days_first_ov ~ fungicide + crithidia + avg.pol + workers_alive
##               Df Deviance    AIC    LRT Pr(>Chi)  
## <none>             26.772 185.23                  
## fungicide      1   26.878 183.33 0.1053  0.74551  
## crithidia      1   28.305 184.76 1.5327  0.21571  
## avg.pol        1   32.704 189.16 5.9317  0.01487 *
## workers_alive  1   28.931 185.38 2.1591  0.14173  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
ov2 <- update(ov1, .~. -workers_alive)
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
drop1(ov2, test = "Chisq")
## Single term deletions
## 
## Model:
## days_first_ov ~ fungicide + crithidia + avg.pol
##           Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>         28.931 185.39                      
## fungicide  1   29.045 183.50  0.1146    0.7350    
## crithidia  1   29.519 183.97  0.5882    0.4431    
## avg.pol    1   49.820 204.27 20.8889 4.867e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(ov2)
## Analysis of Deviance Table (Type II tests)
## 
## Response: days_first_ov
##           LR Chisq Df Pr(>Chisq)    
## fungicide   0.1146  1     0.7350    
## crithidia   0.5882  1     0.4431    
## avg.pol    20.8889  1  4.867e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(ov2)
## 
## Call:
## glm.nb(formula = days_first_ov ~ fungicide + crithidia + avg.pol, 
##     data = duration, init.theta = 151930.6281, link = log)
## 
## Deviance Residuals: 
##      Min        1Q    Median        3Q       Max  
## -1.71248  -0.65163  -0.07036   0.53669   1.82330  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)    2.95946    0.14611  20.255  < 2e-16 ***
## fungicideTRUE -0.03434    0.10142  -0.339    0.735    
## crithidiaTRUE -0.07821    0.10197  -0.767    0.443    
## avg.pol       -1.14088    0.25754  -4.430 9.43e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(151930.6) family taken to be 1)
## 
##     Null deviance: 50.159  on 34  degrees of freedom
## Residual deviance: 28.931  on 31  degrees of freedom
##   (1 observation deleted due to missingness)
## AIC: 187.39
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  151931 
##           Std. Err.:  5542697 
## Warning while fitting theta: iteration limit reached 
## 
##  2 x log-likelihood:  -177.386
plot(duration$treatment, duration$days_first_ov)

Brood cells

brood$fungicide <- as.logical(brood$fungicide)
brood$crithidia <- as.logical(brood$crithidia)

plot(brood$treatment, brood$brood_cells)

brood.mod <- glm.nb(brood_cells ~ fungicide*crithidia + block + workers_alive + duration + avg_pollen, data = brood)
## Warning in glm.nb(brood_cells ~ fungicide * crithidia + block + workers_alive +
## : alternation limit reached
Anova(brood.mod)
## Analysis of Deviance Table (Type II tests)
## 
## Response: brood_cells
##                     LR Chisq Df Pr(>Chisq)    
## fungicide              9.473  1   0.002085 ** 
## crithidia              0.483  1   0.487155    
## block                 87.471  8  1.515e-15 ***
## workers_alive         35.058  1  3.200e-09 ***
## duration               0.253  1   0.615167    
## avg_pollen            19.007  1  1.302e-05 ***
## fungicide:crithidia    0.286  1   0.592710    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
drop1(brood.mod, test = "Chisq")
## Single term deletions
## 
## Model:
## brood_cells ~ fungicide * crithidia + block + workers_alive + 
##     duration + avg_pollen
##                     Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>                   49.836 249.43                     
## block                8  137.307 320.90 87.471 1.515e-15 ***
## workers_alive        1   84.894 282.48 35.058 3.200e-09 ***
## duration             1   50.089 247.68  0.253    0.6152    
## avg_pollen           1   68.843 266.43 19.007 1.302e-05 ***
## fungicide:crithidia  1   50.122 247.71  0.286    0.5927    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
brood.mod <- glm.nb(brood_cells ~ fungicide + crithidia + block + workers_alive + duration, data = brood)
Anova(brood.mod)
## Analysis of Deviance Table (Type II tests)
## 
## Response: brood_cells
##               LR Chisq Df Pr(>Chisq)    
## fungicide        3.316  1    0.06862 .  
## crithidia        0.007  1    0.93175    
## block          102.672  8  < 2.2e-16 ***
## workers_alive   64.517  1  9.572e-16 ***
## duration         0.751  1    0.38607    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
drop1(brood.mod, test = "Chisq")
## Single term deletions
## 
## Model:
## brood_cells ~ fungicide + crithidia + block + workers_alive + 
##     duration
##               Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>             45.437 259.54                      
## fungicide      1   48.753 260.86   3.316   0.06862 .  
## crithidia      1   45.445 257.55   0.007   0.93175    
## block          8  148.110 346.22 102.672 < 2.2e-16 ***
## workers_alive  1  109.954 322.06  64.517 9.572e-16 ***
## duration       1   46.189 258.29   0.751   0.38607    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
bm1 <- update(brood.mod, .~. -duration)
drop1(bm1, test = "Chisq")
## Single term deletions
## 
## Model:
## brood_cells ~ fungicide + crithidia + block + workers_alive
##               Df Deviance    AIC     LRT Pr(>Chi)    
## <none>              46.20 258.29                     
## fungicide      1    49.27 259.36   3.070  0.07973 .  
## crithidia      1    46.21 256.30   0.010  0.91928    
## block          8   148.91 345.00 102.709  < 2e-16 ***
## workers_alive  1   139.03 349.13  92.831  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(bm1)
## 
## Call:
## glm.nb(formula = brood_cells ~ fungicide + crithidia + block + 
##     workers_alive, data = brood, init.theta = 10.1805701, link = log)
## 
## Deviance Residuals: 
##      Min        1Q    Median        3Q       Max  
## -2.61598  -1.10509   0.04918   0.40418   2.05004  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)    0.80904    0.38129   2.122 0.033852 *  
## fungicideTRUE  0.26020    0.14524   1.792 0.073211 .  
## crithidiaTRUE -0.01541    0.14808  -0.104 0.917136    
## block4        -0.23235    0.26721  -0.870 0.384542    
## block6        -1.78611    0.38966  -4.584 4.57e-06 ***
## block7        -0.63042    0.29537  -2.134 0.032816 *  
## block8        -1.01617    0.28261  -3.596 0.000324 ***
## block9        -1.04473    0.27873  -3.748 0.000178 ***
## block10        0.50706    0.25340   2.001 0.045390 *  
## block11       -1.70311    0.36066  -4.722 2.33e-06 ***
## block12        0.12012    0.29090   0.413 0.679659    
## workers_alive  0.68405    0.07325   9.339  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(10.1806) family taken to be 1)
## 
##     Null deviance: 305.7  on 35  degrees of freedom
## Residual deviance:  46.2  on 24  degrees of freedom
## AIC: 260.29
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  10.18 
##           Std. Err.:  4.15 
## 
##  2 x log-likelihood:  -234.294
bm2 <- update(bm1, .~. -crithidia)
drop1(bm2, test = "Chisq")
## Single term deletions
## 
## Model:
## brood_cells ~ fungicide + block + workers_alive
##               Df Deviance    AIC     LRT Pr(>Chi)    
## <none>             46.193 256.30                     
## fungicide      1   49.298 257.41   3.105  0.07806 .  
## block          8  149.523 343.63 103.330  < 2e-16 ***
## workers_alive  1  153.451 361.56 107.258  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(bm1)
## Analysis of Deviance Table (Type II tests)
## 
## Response: brood_cells
##               LR Chisq Df Pr(>Chisq)    
## fungicide        3.070  1    0.07973 .  
## crithidia        0.010  1    0.91928    
## block          102.709  8    < 2e-16 ***
## workers_alive   92.831  1    < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
qqnorm(resid(bm1));qqline(resid(bm1))

broodem <- emmeans(bm1, pairwise ~ crithidia, type = "response")

broodcld <-  cld(object = broodem,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
broodcld
##  crithidia response   SE  df asymp.LCL asymp.UCL .group
##   TRUE         13.7 1.58 Inf      10.6      17.7  a    
##  FALSE         13.9 1.54 Inf      10.9      17.8  a    
## 
## Results are averaged over the levels of: fungicide, block 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 2 estimates 
## Intervals are back-transformed from the log scale 
## Tests are performed on the log scale 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
brood_sum <- brood %>%
  group_by(treatment) %>%
  summarise(mb = mean(brood_cells),
            nb = length(brood_cells), 
            sdb = sd(brood_cells)) %>%
  mutate(seb = (sdb/sqrt(nb)))

brood_sum
## # A tibble: 4 × 5
##   treatment    mb    nb   sdb   seb
##   <fct>     <dbl> <int> <dbl> <dbl>
## 1 1          30.7     9  23.1  7.71
## 2 2          29.8     9  21.1  7.04
## 3 3          21.7     9  24.9  8.30
## 4 4          23.9     9  26.3  8.77
brood_sum$plot <- brood_sum$mb + brood_sum$seb

plot(brood$treatment, brood$brood_cells)

ggplot(data = brood_sum, aes(x = treatment, y = mb, fill = treatment, pattern = treatment)) +
  geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0, 0.4),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) +
   coord_cartesian(ylim = c(0, 42)) +
  geom_errorbar(aes(ymin = mb - seb, ymax = mb + seb), width = 0.2, position = position_dodge(0.9)) +
 labs(x = "Treatment", y = "Average Brood Cells") +
  theme_classic(base_size = 20) +
  annotate(
    geom = "text",
    x = 1,
    y = 41,
    label = "P > 0.05",
    size = 7
  ) +
  scale_fill_manual(values = c("lightgreen", "lightblue", "grey", "lightblue")) +
  scale_pattern_manual(values = c("none", "none", "none", "stripe")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none")

#live Pupae

plot(brood$treatment, brood$live_pupae)

livepup.mod.int <- glm(live_pupae ~ fungicide*crithidia + workers_alive + block + duration + avg_pollen, data = brood, family = "poisson")
drop1(livepup.mod.int, test = "Chisq")
## Single term deletions
## 
## Model:
## live_pupae ~ fungicide * crithidia + workers_alive + block + 
##     duration + avg_pollen
##                     Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>                   34.967 153.63                      
## workers_alive        1   47.737 164.40 12.7701 0.0003522 ***
## block                8   46.453 149.12 11.4865 0.1756262    
## duration             1   39.330 156.00  4.3633 0.0367209 *  
## avg_pollen           1   58.179 174.85 23.2126  1.45e-06 ***
## fungicide:crithidia  1   35.089 151.76  0.1227 0.7260822    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
livepup.mod <- glm.nb(live_pupae ~ fungicide*crithidia + workers_alive + block + duration + avg_pollen, data = brood)
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
## Warning in glm.nb(live_pupae ~ fungicide * crithidia + workers_alive + block +
## : alternation limit reached
Anova(livepup.mod)
## Analysis of Deviance Table (Type II tests)
## 
## Response: live_pupae
##                     LR Chisq Df Pr(>Chisq)    
## fungicide             0.2574  1   0.611898    
## crithidia             3.1498  1   0.075934 .  
## workers_alive        12.7658  1   0.000353 ***
## block                11.4846  8   0.175721    
## duration              4.3615  1   0.036760 *  
## avg_pollen           23.2025  1  1.458e-06 ***
## fungicide:crithidia   0.1222  1   0.726688    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
drop1(livepup.mod, test = "Chisq")
## Single term deletions
## 
## Model:
## live_pupae ~ fungicide * crithidia + workers_alive + block + 
##     duration + avg_pollen
##                     Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>                   34.959 153.64                      
## workers_alive        1   47.725 164.40 12.7658  0.000353 ***
## block                8   46.444 149.12 11.4846  0.175721    
## duration             1   39.321 156.00  4.3615  0.036760 *  
## avg_pollen           1   58.162 174.84 23.2025 1.458e-06 ***
## fungicide:crithidia  1   35.081 151.76  0.1222  0.726688    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
livepup.mod <- glm(live_pupae ~ fungicide + crithidia ++ workers_alive + block + duration + avg_pollen, data = brood, family = "poisson")
livepup.mod.nb <- glm.nb(live_pupae ~ fungicide + crithidia + + workers_alive + block + duration + avg_pollen, data = brood)
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

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## control$trace > : iteration limit reached

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## control$trace > : iteration limit reached

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## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
## Warning in glm.nb(live_pupae ~ fungicide + crithidia + +workers_alive + :
## alternation limit reached
summary(livepup.mod)
## 
## Call:
## glm(formula = live_pupae ~ fungicide + crithidia + +workers_alive + 
##     block + duration + avg_pollen, family = "poisson", data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.0545  -0.8359  -0.1715   0.4672   2.2654  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)   -6.56936    2.71700  -2.418 0.015612 *  
## fungicideTRUE -0.08776    0.17284  -0.508 0.611621    
## crithidiaTRUE -0.30903    0.17470  -1.769 0.076907 .  
## workers_alive  0.52057    0.15220   3.420 0.000625 ***
## block4        -0.65692    0.43189  -1.521 0.128253    
## block6        -2.18079    1.05286  -2.071 0.038330 *  
## block7        -0.12475    0.38798  -0.322 0.747807    
## block8        -0.61961    0.42220  -1.468 0.142222    
## block9        -0.34465    0.38437  -0.897 0.369898    
## block10       -0.81683    0.44468  -1.837 0.066226 .  
## block11       -0.80235    0.52146  -1.539 0.123887    
## block12       -0.49818    0.47864  -1.041 0.297956    
## duration       0.10408    0.05153   2.020 0.043413 *  
## avg_pollen     4.11880    0.90588   4.547 5.45e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 252.752  on 35  degrees of freedom
## Residual deviance:  35.089  on 22  degrees of freedom
## AIC: 151.76
## 
## Number of Fisher Scoring iterations: 6
qqnorm(resid(livepup.mod));qqline(resid(livepup.mod))

plot(livepup.mod)

AIC(livepup.mod, livepup.mod.nb)
##                df      AIC
## livepup.mod    14 151.7561
## livepup.mod.nb 15 153.7595
anova(livepup.mod, livepup.mod.nb, test = "Chisq")
## Analysis of Deviance Table
## 
## Model 1: live_pupae ~ fungicide + crithidia + +workers_alive + block + 
##     duration + avg_pollen
## Model 2: live_pupae ~ fungicide + crithidia + +workers_alive + block + 
##     duration + avg_pollen
##   Resid. Df Resid. Dev Df  Deviance Pr(>Chi)
## 1        22     35.089                      
## 2        22     35.081  0 0.0084061
drop1(livepup.mod, test = "Chisq")
## Single term deletions
## 
## Model:
## live_pupae ~ fungicide + crithidia + +workers_alive + block + 
##     duration + avg_pollen
##               Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>             35.089 151.76                      
## fungicide      1   35.347 150.01  0.2579 0.6115536    
## crithidia      1   38.243 152.91  3.1538 0.0757492 .  
## workers_alive  1   47.746 162.41 12.6561 0.0003743 ***
## block          8   46.667 147.33 11.5771 0.1710932    
## duration       1   39.519 154.19  4.4296 0.0353208 *  
## avg_pollen     1   58.189 172.85 23.0991 1.539e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
lp1 <- update(livepup.mod, .~. -block)
drop1(lp1, test = "Chisq")
## Single term deletions
## 
## Model:
## live_pupae ~ fungicide + crithidia + workers_alive + duration + 
##     avg_pollen
##               Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>             46.667 147.33                     
## fungicide      1   47.277 145.94  0.610    0.4347    
## crithidia      1   48.451 147.12  1.784    0.1816    
## workers_alive  1   67.688 166.35 21.021 4.542e-06 ***
## duration       1   51.610 150.28  4.943    0.0262 *  
## avg_pollen     1  104.321 202.99 57.655 3.124e-14 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(lp1)
## 
## Call:
## glm(formula = live_pupae ~ fungicide + crithidia + workers_alive + 
##     duration + avg_pollen, family = "poisson", data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.2883  -0.9998  -0.4256   0.4991   3.2325  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)   -4.82576    1.52462  -3.165  0.00155 ** 
## fungicideTRUE -0.11609    0.14903  -0.779  0.43599    
## crithidiaTRUE -0.20712    0.15674  -1.321  0.18634    
## workers_alive  0.51273    0.12063   4.251 2.13e-05 ***
## duration       0.06014    0.02677   2.247  0.02467 *  
## avg_pollen     3.44614    0.48583   7.093 1.31e-12 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 252.752  on 35  degrees of freedom
## Residual deviance:  46.667  on 30  degrees of freedom
## AIC: 147.33
## 
## Number of Fisher Scoring iterations: 5
Anova(lp1)
## Analysis of Deviance Table (Type II tests)
## 
## Response: live_pupae
##               LR Chisq Df Pr(>Chisq)    
## fungicide        0.610  1     0.4347    
## crithidia        1.784  1     0.1816    
## workers_alive   21.021  1  4.542e-06 ***
## duration         4.943  1     0.0262 *  
## avg_pollen      57.655  1  3.124e-14 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
qqnorm(resid(lp1));qqline(resid(lp1))

anova(livepup.mod, lp1, test = "Chisq")
## Analysis of Deviance Table
## 
## Model 1: live_pupae ~ fungicide + crithidia + +workers_alive + block + 
##     duration + avg_pollen
## Model 2: live_pupae ~ fungicide + crithidia + workers_alive + duration + 
##     avg_pollen
##   Resid. Df Resid. Dev Df Deviance Pr(>Chi)
## 1        22     35.089                     
## 2        30     46.667 -8  -11.577   0.1711
AIC(livepup.mod, lp1)
##             df      AIC
## livepup.mod 14 151.7561
## lp1          6 147.3332
be <- emmeans(lp1, "crithidia")
pairs(be)
##  contrast     estimate    SE  df z.ratio p.value
##  FALSE - TRUE    0.207 0.157 Inf   1.321  0.1863
## 
## Results are averaged over the levels of: fungicide 
## Results are given on the log (not the response) scale.
broodem <- emmeans(lp1, pairwise ~ crithidia, type = "response")

broodcld <-  cld(object = broodem,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
broodcld
##  crithidia rate    SE  df asymp.LCL asymp.UCL .group
##   TRUE     2.27 0.370 Inf      1.57      3.27  a    
##  FALSE     2.79 0.429 Inf      1.98      3.93  a    
## 
## Results are averaged over the levels of: fungicide 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 2 estimates 
## Intervals are back-transformed from the log scale 
## Tests are performed on the log scale 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
livepup_sum <- brood %>%
  group_by(treatment) %>%
  summarise(mb = mean(live_pupae),
            nb = length(live_pupae), 
            sdb = sd(live_pupae)) %>%
  mutate(seb = (sdb/sqrt(nb)))

livepup_sum
## # A tibble: 4 × 5
##   treatment    mb    nb   sdb   seb
##   <fct>     <dbl> <int> <dbl> <dbl>
## 1 1          8.22     9  7.58  2.53
## 2 2          5.89     9  7.54  2.51
## 3 3          2.89     9  3.30  1.10
## 4 4          4        9  5.17  1.72
livepup_sum$plot <- livepup_sum$mb + livepup_sum$seb

plot(brood$treatment, brood$live_pupae)

ggplot(data = livepup_sum, aes(x = treatment, y = mb, fill = treatment, pattern = treatment)) +
  geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0, 0.4),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) +
   coord_cartesian(ylim = c(0, 13)) +
  geom_errorbar(aes(ymin = mb - seb, ymax = mb + seb), width = 0.2, position = position_dodge(0.9)) +
 labs(x = "Treatment", y = "Average Live Pupae") +
  theme_classic(base_size = 20) +
  annotate(
    geom = "text",
    x = 1,
    y = 12.5,
    label = "P > 0.05",
    size = 7
  ) +
  scale_fill_manual(values = c("lightgreen", "lightblue", "grey", "lightblue")) +
  scale_pattern_manual(values = c("none", "none", "none", "stripe")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none")

plot(brood$treatment, brood$live_larvae)

livelar.mod <- glm(live_larvae ~ fungicide + crithidia + workers_alive + block + duration + avg_pollen, data = brood, family = "poisson")
summary(livelar.mod) #overdisp
## 
## Call:
## glm(formula = live_larvae ~ fungicide + crithidia + workers_alive + 
##     block + duration + avg_pollen, family = "poisson", data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -3.6068  -1.6238  -0.5069   1.0864   2.5547  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)    1.90936    1.11950   1.706 0.088094 .  
## fungicideTRUE  0.19053    0.09850   1.934 0.053080 .  
## crithidiaTRUE  0.18432    0.09419   1.957 0.050357 .  
## workers_alive  0.34362    0.07345   4.678 2.89e-06 ***
## block4        -0.35446    0.23717  -1.495 0.135039    
## block6        -1.82877    0.60694  -3.013 0.002586 ** 
## block7        -0.55917    0.23774  -2.352 0.018674 *  
## block8        -0.90571    0.24315  -3.725 0.000195 ***
## block9        -0.66470    0.22504  -2.954 0.003140 ** 
## block10        0.75755    0.22272   3.401 0.000671 ***
## block11       -1.31312    0.38511  -3.410 0.000650 ***
## block12        0.32055    0.23934   1.339 0.180472    
## duration      -0.03840    0.02207  -1.740 0.081935 .  
## avg_pollen     2.24259    0.48644   4.610 4.02e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 690.91  on 35  degrees of freedom
## Residual deviance:  91.83  on 22  degrees of freedom
## AIC: 237.57
## 
## Number of Fisher Scoring iterations: 5
livelar.mod.int <- glm(live_larvae ~ fungicide*crithidia + workers_alive + block + duration + avg_pollen, data = brood, family = "poisson")
summary(livelar.mod.int) #overdisp
## 
## Call:
## glm(formula = live_larvae ~ fungicide * crithidia + workers_alive + 
##     block + duration + avg_pollen, family = "poisson", data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -3.6955  -1.6402  -0.5423   1.1193   2.2554  
## 
## Coefficients:
##                             Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                  2.17431    1.15107   1.889 0.058898 .  
## fungicideTRUE                0.12449    0.12521   0.994 0.320099    
## crithidiaTRUE                0.11112    0.12715   0.874 0.382157    
## workers_alive                0.34537    0.07376   4.682 2.83e-06 ***
## block4                      -0.36849    0.23880  -1.543 0.122817    
## block6                      -1.83346    0.60674  -3.022 0.002513 ** 
## block7                      -0.56421    0.23834  -2.367 0.017924 *  
## block8                      -0.91356    0.24198  -3.775 0.000160 ***
## block9                      -0.70003    0.22921  -3.054 0.002257 ** 
## block10                      0.76821    0.22112   3.474 0.000512 ***
## block11                     -1.35595    0.38821  -3.493 0.000478 ***
## block12                      0.29780    0.24254   1.228 0.219513    
## duration                    -0.04277    0.02246  -1.904 0.056896 .  
## avg_pollen                   2.16957    0.49298   4.401 1.08e-05 ***
## fungicideTRUE:crithidiaTRUE  0.15563    0.18144   0.858 0.391032    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 690.912  on 35  degrees of freedom
## Residual deviance:  91.094  on 21  degrees of freedom
## AIC: 238.84
## 
## Number of Fisher Scoring iterations: 5
livelar.mod.nb.int <- glm.nb(live_larvae ~ fungicide*crithidia + workers_alive + block + duration + avg_pollen, data = brood)
## Warning in glm.nb(live_larvae ~ fungicide * crithidia + workers_alive + :
## alternation limit reached
summary(livelar.mod.nb.int)
## 
## Call:
## glm.nb(formula = live_larvae ~ fungicide * crithidia + workers_alive + 
##     block + duration + avg_pollen, data = brood, init.theta = 9.07466479, 
##     link = log)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.9298  -1.2359  -0.3805   0.5865   2.1165  
## 
## Coefficients:
##                             Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                  1.36901    1.86239   0.735 0.462291    
## fungicideTRUE                0.12018    0.22743   0.528 0.597224    
## crithidiaTRUE               -0.02186    0.24449  -0.089 0.928765    
## workers_alive                0.43366    0.12208   3.552 0.000382 ***
## block4                      -0.65537    0.43381  -1.511 0.130857    
## block6                      -1.75205    0.68248  -2.567 0.010252 *  
## block7                      -0.65454    0.39712  -1.648 0.099312 .  
## block8                      -1.20924    0.39409  -3.068 0.002152 ** 
## block9                      -0.75635    0.35561  -2.127 0.033425 *  
## block10                      0.70621    0.37204   1.898 0.057666 .  
## block11                     -1.48747    0.51072  -2.912 0.003586 ** 
## block12                      0.37671    0.39256   0.960 0.337239    
## duration                    -0.03602    0.03572  -1.009 0.313178    
## avg_pollen                   2.70545    0.87460   3.093 0.001979 ** 
## fungicideTRUE:crithidiaTRUE  0.27237    0.34618   0.787 0.431409    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(9.0747) family taken to be 1)
## 
##     Null deviance: 311.724  on 35  degrees of freedom
## Residual deviance:  51.376  on 21  degrees of freedom
## AIC: 229.7
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  9.07 
##           Std. Err.:  5.05 
## Warning while fitting theta: alternation limit reached 
## 
##  2 x log-likelihood:  -197.70
livelar.mod.nb <- glm.nb(live_larvae ~ fungicide + crithidia + workers_alive + block + duration + avg_pollen, data = brood)  #start with this one 
## Warning in glm.nb(live_larvae ~ fungicide + crithidia + workers_alive + :
## alternation limit reached
summary(livelar.mod.nb)
## 
## Call:
## glm.nb(formula = live_larvae ~ fungicide + crithidia + workers_alive + 
##     block + duration + avg_pollen, data = brood, init.theta = 8.987768981, 
##     link = log)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.8127  -1.1505  -0.4229   0.5430   2.1928  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)    0.98943    1.81342   0.546  0.58533    
## fungicideTRUE  0.23197    0.17923   1.294  0.19557    
## crithidiaTRUE  0.10121    0.18221   0.555  0.57858    
## workers_alive  0.42852    0.12171   3.521  0.00043 ***
## block4        -0.60665    0.43116  -1.407  0.15942    
## block6        -1.77937    0.68529  -2.597  0.00942 ** 
## block7        -0.63088    0.39774  -1.586  0.11270    
## block8        -1.16564    0.39233  -2.971  0.00297 ** 
## block9        -0.71906    0.35055  -2.051  0.04024 *  
## block10        0.70056    0.37496   1.868  0.06171 .  
## block11       -1.42670    0.50319  -2.835  0.00458 ** 
## block12        0.38682    0.39093   0.989  0.32243    
## duration      -0.02891    0.03499  -0.826  0.40872    
## avg_pollen     2.73864    0.87600   3.126  0.00177 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(8.9878) family taken to be 1)
## 
##     Null deviance: 310.310  on 35  degrees of freedom
## Residual deviance:  51.831  on 22  degrees of freedom
## AIC: 228.31
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  8.99 
##           Std. Err.:  5.08 
## Warning while fitting theta: alternation limit reached 
## 
##  2 x log-likelihood:  -198.31
drop1(livelar.mod.nb.int, test = "Chisq")
## Single term deletions
## 
## Model:
## live_larvae ~ fungicide * crithidia + workers_alive + block + 
##     duration + avg_pollen
##                     Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>                   51.376 227.70                     
## workers_alive        1   63.882 238.21 12.506 0.0004056 ***
## block                8  107.289 267.61 55.913 2.933e-09 ***
## duration             1   52.267 226.59  0.891 0.3452583    
## avg_pollen           1   60.587 234.91  9.211 0.0024050 ** 
## fungicide:crithidia  1   51.987 226.31  0.611 0.4344570    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
drop1(livelar.mod.nb, test = "Chisq")
## Single term deletions
## 
## Model:
## live_larvae ~ fungicide + crithidia + workers_alive + block + 
##     duration + avg_pollen
##               Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>             51.831 226.31                     
## fungicide      1   53.501 225.98  1.670 0.1961955    
## crithidia      1   52.126 224.60  0.295 0.5868366    
## workers_alive  1   64.093 236.57 12.262 0.0004623 ***
## block          8  107.087 265.57 55.256 3.936e-09 ***
## duration       1   52.440 224.92  0.609 0.4352187    
## avg_pollen     1   61.252 233.73  9.421 0.0021450 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
ll1 <- update(livelar.mod.nb, .~. -duration)
drop1(ll1, test = "Chisq")
## Single term deletions
## 
## Model:
## live_larvae ~ fungicide + crithidia + workers_alive + block + 
##     avg_pollen
##               Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>             51.138 224.90                     
## fungicide      1   52.618 224.38  1.480  0.223743    
## crithidia      1   51.325 223.09  0.188  0.664965    
## workers_alive  1   66.612 238.38 15.474 8.363e-05 ***
## block          8  107.238 265.00 56.100 2.697e-09 ***
## avg_pollen     1   60.958 232.72  9.820  0.001726 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(ll1)
## 
## Call:
## glm.nb(formula = live_larvae ~ fungicide + crithidia + workers_alive + 
##     block + avg_pollen, data = brood, init.theta = 8.31087449, 
##     link = log)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.8906  -1.0503  -0.3603   0.6087   2.1456  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)   -0.48898    0.50908  -0.961 0.336787    
## fungicideTRUE  0.22321    0.18244   1.224 0.221140    
## crithidiaTRUE  0.08251    0.18540   0.445 0.656290    
## workers_alive  0.46356    0.11923   3.888 0.000101 ***
## block4        -0.53894    0.43472  -1.240 0.215077    
## block6        -1.86957    0.68175  -2.742 0.006101 ** 
## block7        -0.52319    0.38118  -1.373 0.169885    
## block8        -1.11085    0.39494  -2.813 0.004913 ** 
## block9        -0.63959    0.35012  -1.827 0.067733 .  
## block10        0.62654    0.36247   1.729 0.083891 .  
## block11       -1.41876    0.50792  -2.793 0.005218 ** 
## block12        0.44021    0.39404   1.117 0.263929    
## avg_pollen     2.84629    0.88950   3.200 0.001375 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(8.3109) family taken to be 1)
## 
##     Null deviance: 298.876  on 35  degrees of freedom
## Residual deviance:  51.138  on 23  degrees of freedom
## AIC: 226.9
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  8.31 
##           Std. Err.:  4.54 
## 
##  2 x log-likelihood:  -198.903
Anova(ll1)
## Analysis of Deviance Table (Type II tests)
## 
## Response: live_larvae
##               LR Chisq Df Pr(>Chisq)    
## fungicide        1.480  1   0.223743    
## crithidia        0.188  1   0.664965    
## workers_alive   15.474  1  8.363e-05 ***
## block           56.100  8  2.697e-09 ***
## avg_pollen       9.820  1   0.001726 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
broodem <- emmeans(ll1, pairwise ~ crithidia, type = "response")

broodcld <-  cld(object = broodem,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
broodcld
##  crithidia response    SE  df asymp.LCL asymp.UCL .group
##  FALSE         6.31 0.956 Inf      4.49      8.85  a    
##   TRUE         6.85 1.057 Inf      4.85      9.67  a    
## 
## Results are averaged over the levels of: fungicide, block 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 2 estimates 
## Intervals are back-transformed from the log scale 
## Tests are performed on the log scale 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
livelarv_sum <- brood %>%
  group_by(treatment) %>%
  summarise(mb = mean(live_larvae),
            nb = length(live_larvae), 
            sdb = sd(live_larvae)) %>%
  mutate(seb = (sdb/sqrt(nb)))

livelarv_sum
## # A tibble: 4 × 5
##   treatment    mb    nb   sdb   seb
##   <fct>     <dbl> <int> <dbl> <dbl>
## 1 1          20.7     9  19.0  6.34
## 2 2          15.1     9  11.0  3.68
## 3 3          12.8     9  19.5  6.52
## 4 4          14.9     9  18.7  6.23
livelarv_sum$plot <- livelarv_sum$mb + livelarv_sum$seb

plot(brood$treatment, brood$live_larvae)

ggplot(data = livelarv_sum, aes(x = treatment, y = mb, fill = treatment)) +
  geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0, 0.4),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) +
   coord_cartesian(ylim = c(0, 35)) +
  geom_errorbar(aes(ymin = mb - seb, ymax = mb + seb), width = 0.2, position = position_dodge(0.9)) +
 labs(x = "Treatment", y = "Average Live Pupae") +
  theme_classic(base_size = 20) +
  annotate(
    geom = "text",
    x = 1,
    y = 34,
    label = "P > 0.5",
    size = 7
  ) +
  scale_fill_manual(values = c("lightgreen", "lightblue", "grey", "lightblue")) +
  scale_pattern_manual(values = c("none", "none", "none", "stripe")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none")

Dead larvae count

dl.mod <- glm.nb(dead_larvae ~ fungicide + crithidia + avg_pollen + workers_alive, data = brood)
drop1(dl.mod, test = "Chisq")
## Single term deletions
## 
## Model:
## dead_larvae ~ fungicide + crithidia + avg_pollen + workers_alive
##               Df Deviance    AIC     LRT Pr(>Chi)
## <none>             34.069 118.39                 
## fungicide      1   34.491 116.81 0.42200   0.5159
## crithidia      1   34.310 116.63 0.24113   0.6234
## avg_pollen     1   35.877 118.20 1.80740   0.1788
## workers_alive  1   34.709 117.03 0.63955   0.4239
dl1 <- update(dl.mod, .~. -workers_alive)
drop1(dl1, test = "Chisq")
## Single term deletions
## 
## Model:
## dead_larvae ~ fungicide + crithidia + avg_pollen
##            Df Deviance    AIC    LRT Pr(>Chi)  
## <none>          33.976 117.02                  
## fungicide   1   34.462 115.51 0.4862  0.48563  
## crithidia   1   34.007 115.06 0.0316  0.85896  
## avg_pollen  1   39.815 120.86 5.8390  0.01567 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(brood$treatment, brood$dead_larvae)

Anova(dl1)
## Analysis of Deviance Table (Type II tests)
## 
## Response: dead_larvae
##            LR Chisq Df Pr(>Chisq)  
## fungicide    0.4862  1    0.48563  
## crithidia    0.0316  1    0.85896  
## avg_pollen   5.8390  1    0.01567 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(dl1)
## 
## Call:
## glm.nb(formula = dead_larvae ~ fungicide + crithidia + avg_pollen, 
##     data = brood, init.theta = 0.694531903, link = log)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -1.5917  -1.0642  -0.8710   0.4214   1.5860  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)  
## (Intercept)    -1.2997     0.7873  -1.651   0.0988 .
## fungicideTRUE   0.3838     0.5182   0.741   0.4589  
## crithidiaTRUE   0.0926     0.5277   0.175   0.8607  
## avg_pollen      2.8820     1.1724   2.458   0.0140 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(0.6945) family taken to be 1)
## 
##     Null deviance: 39.938  on 35  degrees of freedom
## Residual deviance: 33.976  on 32  degrees of freedom
## AIC: 119.02
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  0.695 
##           Std. Err.:  0.331 
## 
##  2 x log-likelihood:  -109.023

dead pupae count

dp.mod <- glm.nb(dead_pupae ~ fungicide + crithidia + avg_pollen + workers_alive, data = brood)
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
drop1(dp.mod, test = "Chisq")
## Single term deletions
## 
## Model:
## dead_pupae ~ fungicide + crithidia + avg_pollen + workers_alive
##               Df Deviance    AIC    LRT Pr(>Chi)  
## <none>             13.256 33.256                  
## fungicide      1   13.489 31.490 0.2336  0.62883  
## crithidia      1   13.410 31.411 0.1541  0.69468  
## avg_pollen     1   19.183 37.183 5.9270  0.01491 *
## workers_alive  1   17.549 35.550 4.2932  0.03826 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(dp.mod)
## Analysis of Deviance Table (Type II tests)
## 
## Response: dead_pupae
##               LR Chisq Df Pr(>Chisq)  
## fungicide       0.2336  1    0.62883  
## crithidia       0.1541  1    0.69468  
## avg_pollen      5.9270  1    0.01491 *
## workers_alive   4.2932  1    0.03826 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(dp.mod)
## 
## Call:
## glm.nb(formula = dead_pupae ~ fungicide + crithidia + avg_pollen + 
##     workers_alive, data = brood, init.theta = 7846.438957, link = log)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -1.1378  -0.3987  -0.2465  -0.1208   1.3019  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)  
## (Intercept)    -3.2686     1.6092  -2.031   0.0422 *
## fungicideTRUE   0.4393     0.9185   0.478   0.6324  
## crithidiaTRUE   0.4173     1.0597   0.394   0.6938  
## avg_pollen      8.6462     4.4149   1.958   0.0502 .
## workers_alive  -1.0658     0.5938  -1.795   0.0726 .
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(7846.439) family taken to be 1)
## 
##     Null deviance: 19.740  on 35  degrees of freedom
## Residual deviance: 13.256  on 31  degrees of freedom
## AIC: 35.256
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  7846 
##           Std. Err.:  363749 
## Warning while fitting theta: iteration limit reached 
## 
##  2 x log-likelihood:  -23.256
plot(brood$treatment, brood$dead_pupae)

Anova(dp.mod)
## Analysis of Deviance Table (Type II tests)
## 
## Response: dead_pupae
##               LR Chisq Df Pr(>Chisq)  
## fungicide       0.2336  1    0.62883  
## crithidia       0.1541  1    0.69468  
## avg_pollen      5.9270  1    0.01491 *
## workers_alive   4.2932  1    0.03826 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

total larvae count

tl.mod <- glm.nb(total_larvae ~ fungicide + crithidia + avg_pollen + workers_alive, data = brood)
drop1(tl.mod, test = "Chisq")
## Single term deletions
## 
## Model:
## total_larvae ~ fungicide + crithidia + avg_pollen + workers_alive
##               Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>             43.843 247.76                      
## fungicide      1   47.281 249.20  3.4379   0.06372 .  
## crithidia      1   44.368 246.28  0.5250   0.46874    
## avg_pollen     1   67.532 269.45 23.6883 1.133e-06 ***
## workers_alive  1   46.292 248.21  2.4490   0.11760    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
tl.mod1 <- update(tl.mod, .~. -workers_alive)
drop1(tl.mod1, test = "Chisq")
## Single term deletions
## 
## Model:
## total_larvae ~ fungicide + crithidia + avg_pollen
##            Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>          43.813 248.13                     
## fungicide   1   46.281 248.60  2.468    0.1162    
## crithidia   1   43.817 246.14  0.004    0.9516    
## avg_pollen  1   92.798 295.12 48.985 2.579e-12 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(tl.mod1)
## Analysis of Deviance Table (Type II tests)
## 
## Response: total_larvae
##            LR Chisq Df Pr(>Chisq)    
## fungicide     2.468  1     0.1162    
## crithidia     0.004  1     0.9516    
## avg_pollen   48.985  1  2.579e-12 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(tl.mod1)
## 
## Call:
## glm.nb(formula = total_larvae ~ fungicide + crithidia + avg_pollen, 
##     data = brood, init.theta = 1.388643983, link = log)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -1.8612  -1.3451  -0.4270   0.4856   1.4306  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)   -0.52648    0.48115  -1.094   0.2739    
## fungicideTRUE  0.52458    0.31805   1.649   0.0991 .  
## crithidiaTRUE  0.01889    0.32256   0.059   0.9533    
## avg_pollen     6.06181    0.73581   8.238   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(1.3886) family taken to be 1)
## 
##     Null deviance: 94.065  on 35  degrees of freedom
## Residual deviance: 43.813  on 32  degrees of freedom
## AIC: 250.13
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  1.389 
##           Std. Err.:  0.448 
## 
##  2 x log-likelihood:  -240.133
plot(brood$treatment, brood$total_larvae)

total pupae

tp.mod <- glm.nb(total_pupae ~ fungicide + crithidia + avg_pollen + workers_alive, data = brood)
## Warning in glm.nb(total_pupae ~ fungicide + crithidia + avg_pollen +
## workers_alive, : alternation limit reached
drop1(tp.mod, test = "Chisq")
## Single term deletions
## 
## Model:
## total_pupae ~ fungicide + crithidia + avg_pollen + workers_alive
##               Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>             48.107 155.06                     
## fungicide      1   48.150 153.11  0.043  0.836032    
## crithidia      1   48.503 153.46  0.396  0.528996    
## avg_pollen     1   92.212 197.17 44.105 3.112e-11 ***
## workers_alive  1   58.022 162.98  9.915  0.001639 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(tp.mod)
## Analysis of Deviance Table (Type II tests)
## 
## Response: total_pupae
##               LR Chisq Df Pr(>Chisq)    
## fungicide        0.043  1   0.836032    
## crithidia        0.396  1   0.528996    
## avg_pollen      44.105  1  3.112e-11 ***
## workers_alive    9.915  1   0.001639 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(tp.mod)
## 
## Call:
## glm.nb(formula = total_pupae ~ fungicide + crithidia + avg_pollen + 
##     workers_alive, data = brood, init.theta = 22.77068534, link = log)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.1745  -1.1437  -0.2733   0.1067   3.1363  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)   -1.44348    0.45544  -3.169  0.00153 ** 
## fungicideTRUE -0.03668    0.17559  -0.209  0.83454    
## crithidiaTRUE -0.11590    0.18143  -0.639  0.52294    
## avg_pollen     3.31346    0.51336   6.454 1.09e-10 ***
## workers_alive  0.34404    0.11402   3.017  0.00255 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(22.7707) family taken to be 1)
## 
##     Null deviance: 206.184  on 35  degrees of freedom
## Residual deviance:  48.107  on 31  degrees of freedom
## AIC: 157.06
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  22.8 
##           Std. Err.:  27.9 
## Warning while fitting theta: alternation limit reached 
## 
##  2 x log-likelihood:  -145.064
plot(brood$treatment, brood$total_pupae)

total egg count

egg.mod <- glm.nb(eggs ~ fungicide + crithidia + avg_pollen + workers_alive, data = brood)
drop1(egg.mod, test = "Chisq")
## Single term deletions
## 
## Model:
## eggs ~ fungicide + crithidia + avg_pollen + workers_alive
##               Df Deviance    AIC    LRT Pr(>Chi)  
## <none>             43.916 281.18                  
## fungicide      1   45.286 280.55 1.3697  0.24186  
## crithidia      1   43.935 279.20 0.0191  0.89005  
## avg_pollen     1   46.478 281.74 2.5623  0.10944  
## workers_alive  1   48.379 283.64 4.4628  0.03464 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
em1 <- update(egg.mod, .~. -avg_pollen)
drop1(em1, test = "Chisq")
## Single term deletions
## 
## Model:
## eggs ~ fungicide + crithidia + workers_alive
##               Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>             43.367 281.62                      
## fungicide      1   43.939 280.19  0.5719    0.4495    
## crithidia      1   43.482 279.73  0.1144    0.7352    
## workers_alive  1   58.565 294.82 15.1974 9.684e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(em1)
## Analysis of Deviance Table (Type II tests)
## 
## Response: eggs
##               LR Chisq Df Pr(>Chisq)    
## fungicide       0.5719  1     0.4495    
## crithidia       0.1144  1     0.7352    
## workers_alive  15.1974  1  9.684e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(em1)
## 
## Call:
## glm.nb(formula = eggs ~ fungicide + crithidia + workers_alive, 
##     data = brood, init.theta = 0.9210361052, link = log)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.5071  -1.0676  -0.1225   0.3527   1.6103  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)     0.7006     0.6135   1.142    0.253    
## fungicideTRUE   0.2787     0.3643   0.765    0.444    
## crithidiaTRUE  -0.1241     0.3840  -0.323    0.747    
## workers_alive   0.5793     0.1265   4.579 4.67e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(0.921) family taken to be 1)
## 
##     Null deviance: 59.183  on 35  degrees of freedom
## Residual deviance: 43.367  on 32  degrees of freedom
## AIC: 283.62
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  0.921 
##           Std. Err.:  0.251 
## 
##  2 x log-likelihood:  -273.620
plot(brood$treatment, brood$eggs)

total honey pot

hp.mod <- glm.nb(honey_pots ~ fungicide + crithidia + avg_pollen + workers_alive, data = brood)
drop1(hp.mod, test = "Chisq")
## Single term deletions
## 
## Model:
## honey_pots ~ fungicide + crithidia + avg_pollen + workers_alive
##               Df Deviance    AIC    LRT Pr(>Chi)   
## <none>             35.669 141.06                   
## fungicide      1   39.320 142.71 3.6505 0.056053 . 
## crithidia      1   36.596 139.99 0.9269 0.335659   
## avg_pollen     1   43.770 147.16 8.1004 0.004425 **
## workers_alive  1   37.407 140.80 1.7372 0.187489   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
hp1 <- update(hp.mod, .~. -workers_alive)
drop1(hp1, test = "Chisq")
## Single term deletions
## 
## Model:
## honey_pots ~ fungicide + crithidia + avg_pollen
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          36.875 140.79                      
## fungicide   1   40.087 142.00  3.2115   0.07312 .  
## crithidia   1   38.392 140.31  1.5173   0.21803    
## avg_pollen  1   59.717 161.63 22.8423 1.758e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
anova(hp.mod, hp1)
## Likelihood ratio tests of Negative Binomial Models
## 
## Response: honey_pots
##                                                Model    theta Resid. df
## 1                 fungicide + crithidia + avg_pollen 17.57633        32
## 2 fungicide + crithidia + avg_pollen + workers_alive 19.67711        31
##      2 x log-lik.   Test    df LR stat.   Pr(Chi)
## 1       -132.7911                                
## 2       -131.0589 1 vs 2     1 1.732166 0.1881346
Anova(hp.mod)
## Analysis of Deviance Table (Type II tests)
## 
## Response: honey_pots
##               LR Chisq Df Pr(>Chisq)   
## fungicide       3.6505  1   0.056053 . 
## crithidia       0.9269  1   0.335659   
## avg_pollen      8.1004  1   0.004425 **
## workers_alive   1.7372  1   0.187489   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
AIC(hp.mod, hp1)
##        df      AIC
## hp.mod  6 143.0589
## hp1     5 142.7911
Anova(hp1)
## Analysis of Deviance Table (Type II tests)
## 
## Response: honey_pots
##            LR Chisq Df Pr(>Chisq)    
## fungicide    3.2115  1    0.07312 .  
## crithidia    1.5173  1    0.21803    
## avg_pollen  22.8423  1  1.758e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(hp1)
## 
## Call:
## glm.nb(formula = honey_pots ~ fungicide + crithidia + avg_pollen, 
##     data = brood, init.theta = 17.5763296, link = log)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.0615  -0.7252  -0.3248   0.4896   2.2243  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)   -0.08803    0.33089  -0.266   0.7902    
## fungicideTRUE  0.38631    0.21588   1.789   0.0735 .  
## crithidiaTRUE -0.27473    0.22410  -1.226   0.2202    
## avg_pollen     2.28998    0.46852   4.888 1.02e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(17.5763) family taken to be 1)
## 
##     Null deviance: 66.981  on 35  degrees of freedom
## Residual deviance: 36.875  on 32  degrees of freedom
## AIC: 142.79
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  17.6 
##           Std. Err.:  25.2 
## 
##  2 x log-likelihood:  -132.791
plot(brood$treatment, brood$honey_pots)

total drone count

plot(brood$treatment, brood$drones)

dronecount.mod <- glm(total_drones ~ fungicide + crithidia + workers_alive + block + duration + avg_pollen, data = brood, family = "poisson")
summary(dronecount.mod) #not overdisp -> Start with this one 
## 
## Call:
## glm(formula = total_drones ~ fungicide + crithidia + workers_alive + 
##     block + duration + avg_pollen, family = "poisson", data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -1.9548  -0.8831  -0.1200   0.2351   2.0003  
## 
## Coefficients:
##                 Estimate Std. Error z value Pr(>|z|)    
## (Intercept)    2.569e+00  1.411e+00   1.821   0.0686 .  
## fungicideTRUE  3.633e-02  1.374e-01   0.264   0.7915    
## crithidiaTRUE  2.629e-02  1.351e-01   0.195   0.8457    
## workers_alive  1.418e-01  1.005e-01   1.411   0.1583    
## block4        -2.358e-01  3.810e-01  -0.619   0.5360    
## block6        -1.760e+01  1.728e+03  -0.010   0.9919    
## block7         5.448e-02  3.538e-01   0.154   0.8776    
## block8        -3.568e-01  3.738e-01  -0.955   0.3398    
## block9         2.143e-01  3.289e-01   0.652   0.5146    
## block10        8.056e-01  3.505e-01   2.298   0.0215 *  
## block11        2.199e-01  3.944e-01   0.558   0.5771    
## block12       -9.284e-04  4.101e-01  -0.002   0.9982    
## duration      -6.552e-02  2.833e-02  -2.312   0.0208 *  
## avg_pollen     3.210e+00  6.942e-01   4.624 3.77e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 308.730  on 35  degrees of freedom
## Residual deviance:  42.559  on 22  degrees of freedom
## AIC: 171.75
## 
## Number of Fisher Scoring iterations: 15
dronecount.mod.nb <- glm.nb(total_drones ~ fungicide + crithidia + workers_alive + block + duration + avg_pollen, data = brood)
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
## Warning in glm.nb(total_drones ~ fungicide + crithidia + workers_alive + :
## alternation limit reached
qqnorm(resid(dronecount.mod));qqline(resid(dronecount.mod))

qqnorm(resid(dronecount.mod.nb));qqline(resid(dronecount.mod.nb))

anova(dronecount.mod, dronecount.mod.nb, test = "Chisq")
## Analysis of Deviance Table
## 
## Model 1: total_drones ~ fungicide + crithidia + workers_alive + block + 
##     duration + avg_pollen
## Model 2: total_drones ~ fungicide + crithidia + workers_alive + block + 
##     duration + avg_pollen
##   Resid. Df Resid. Dev Df  Deviance Pr(>Chi)
## 1        22     42.559                      
## 2        22     42.554  0 0.0050672
AIC(dronecount.mod, dronecount.mod.nb)
##                   df      AIC
## dronecount.mod    14 171.7458
## dronecount.mod.nb 15 173.7469
dronecount.mod.int <- glm(total_drones ~ fungicide*crithidia + workers_alive + block + duration + avg_pollen, data = brood, family = "poisson")
summary(dronecount.mod.int)
## 
## Call:
## glm(formula = total_drones ~ fungicide * crithidia + workers_alive + 
##     block + duration + avg_pollen, family = "poisson", data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -1.9851  -0.9658  -0.1502   0.4410   1.8628  
## 
## Coefficients:
##                               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                    2.89260    1.45933   1.982   0.0475 *  
## fungicideTRUE                 -0.05110    0.17463  -0.293   0.7698    
## crithidiaTRUE                 -0.06693    0.17700  -0.378   0.7053    
## workers_alive                  0.13297    0.10201   1.304   0.1924    
## block4                        -0.29041    0.39015  -0.744   0.4567    
## block6                       -18.60951 2848.99391  -0.007   0.9948    
## block7                         0.03311    0.35621   0.093   0.9259    
## block8                        -0.38187    0.37383  -1.022   0.3070    
## block9                         0.17892    0.33247   0.538   0.5905    
## block10                        0.79568    0.34810   2.286   0.0223 *  
## block11                        0.17341    0.39785   0.436   0.6629    
## block12                       -0.07470    0.42517  -0.176   0.8605    
## duration                      -0.07070    0.02889  -2.447   0.0144 *  
## avg_pollen                     3.22393    0.69718   4.624 3.76e-06 ***
## fungicideTRUE:crithidiaTRUE    0.21745    0.26553   0.819   0.4128    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 308.730  on 35  degrees of freedom
## Residual deviance:  41.887  on 21  degrees of freedom
## AIC: 173.07
## 
## Number of Fisher Scoring iterations: 16
drop1(dronecount.mod.int, test = "Chisq")
## Single term deletions
## 
## Model:
## total_drones ~ fungicide * crithidia + workers_alive + block + 
##     duration + avg_pollen
##                     Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>                   41.887 173.07                     
## workers_alive        1   43.607 172.79  1.720   0.18969    
## block                8   81.181 196.37 39.295 4.334e-06 ***
## duration             1   47.481 176.67  5.594   0.01802 *  
## avg_pollen           1   64.714 193.90 22.827 1.772e-06 ***
## fungicide:crithidia  1   42.559 171.75  0.672   0.41236    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(dronecount.mod.int)
## Analysis of Deviance Table (Type II tests)
## 
## Response: total_drones
##                     LR Chisq Df Pr(>Chisq)    
## fungicide              0.070  1    0.79135    
## crithidia              0.038  1    0.84573    
## workers_alive          1.720  1    0.18969    
## block                 39.295  8  4.334e-06 ***
## duration               5.594  1    0.01802 *  
## avg_pollen            22.827  1  1.772e-06 ***
## fungicide:crithidia    0.672  1    0.41236    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(brood$treatment, brood$total_drones)

drop1(dronecount.mod, test = "Chisq")
## Single term deletions
## 
## Model:
## total_drones ~ fungicide + crithidia + workers_alive + block + 
##     duration + avg_pollen
##               Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>             42.559 171.75                     
## fungicide      1   42.629 169.82  0.070   0.79135    
## crithidia      1   42.597 169.78  0.038   0.84573    
## workers_alive  1   44.584 171.77  2.025   0.15471    
## block          8   81.316 194.50 38.757 5.453e-06 ***
## duration       1   47.573 174.76  5.014   0.02515 *  
## avg_pollen     1   65.399 192.59 22.840 1.760e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dc1 <- update(dronecount.mod, .~. -workers_alive)
drop1(dc1, test = "Chisq")
## Single term deletions
## 
## Model:
## total_drones ~ fungicide + crithidia + block + duration + avg_pollen
##            Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>          44.584 171.77                     
## fungicide   1   44.586 169.77  0.002  0.968341    
## crithidia   1   44.587 169.77  0.003  0.953344    
## block       8   85.588 196.78 41.004 2.081e-06 ***
## duration    1   51.406 176.59  6.822  0.009002 ** 
## avg_pollen  1   94.536 219.72 49.952 1.576e-12 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(dc1)
## 
## Call:
## glm(formula = total_drones ~ fungicide + crithidia + block + 
##     duration + avg_pollen, family = "poisson", data = brood)
## 
## Deviance Residuals: 
##      Min        1Q    Median        3Q       Max  
## -1.91124  -0.96690  -0.04182   0.30982   2.00093  
## 
## Coefficients:
##                 Estimate Std. Error z value Pr(>|z|)    
## (Intercept)    3.254e+00  1.288e+00   2.526  0.01154 *  
## fungicideTRUE -5.302e-03  1.336e-01  -0.040  0.96834    
## crithidiaTRUE  7.863e-03  1.344e-01   0.059  0.95334    
## block4        -3.821e-01  3.708e-01  -1.031  0.30277    
## block6        -1.767e+01  1.733e+03  -0.010  0.99187    
## block7        -6.462e-02  3.471e-01  -0.186  0.85231    
## block8        -4.637e-01  3.712e-01  -1.249  0.21158    
## block9         2.513e-01  3.280e-01   0.766  0.44356    
## block10        6.737e-01  3.344e-01   2.015  0.04394 *  
## block11        1.909e-01  3.937e-01   0.485  0.62772    
## block12       -2.884e-01  3.654e-01  -0.789  0.42993    
## duration      -7.220e-02  2.697e-02  -2.677  0.00742 ** 
## avg_pollen     3.800e+00  5.659e-01   6.714 1.89e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 308.730  on 35  degrees of freedom
## Residual deviance:  44.584  on 23  degrees of freedom
## AIC: 171.77
## 
## Number of Fisher Scoring iterations: 15
Anova(dc1)
## Analysis of Deviance Table (Type II tests)
## 
## Response: total_drones
##            LR Chisq Df Pr(>Chisq)    
## fungicide     0.002  1   0.968341    
## crithidia     0.003  1   0.953344    
## block        41.004  8  2.081e-06 ***
## duration      6.822  1   0.009002 ** 
## avg_pollen   49.952  1  1.576e-12 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
drones_sum <- brood %>%
  group_by(treatment) %>%
  summarise(mb = mean(total_drones),
            nb = length(total_drones), 
            sdb = sd(total_drones)) %>%
  mutate(seb = (sdb/sqrt(nb)))

drones_sum
## # A tibble: 4 × 5
##   treatment    mb    nb   sdb   seb
##   <fct>     <dbl> <int> <dbl> <dbl>
## 1 1         11.3      9  7.84  2.61
## 2 2          7.67     9  7.37  2.46
## 3 3          5.44     9  8.16  2.72
## 4 4          6.89     9  7.18  2.39
drones_sum$plot <- drones_sum$mb + drones_sum$seb
ggplot(data = drones_sum, aes(x = treatment, y = mb, fill = treatment)) +
  geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0, 0.4),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) +
   coord_cartesian(ylim = c(0, 17)) +
  geom_errorbar(aes(ymin = mb - seb, ymax = mb + seb), width = 0.2, position = position_dodge(0.9)) +
 labs(x = "Treatment", y = "Average Live Pupae") +
  annotate(
    geom = "text",
    x = c(1, 2, 3, 4),
    y = drones_sum$plot + 1,  # Adjust the y-position as needed
    label = c("a", "a", "a", "a"),
    size = 8
  ) +
  theme_classic(base_size = 20) +
  annotate(
    geom = "text",
    x = 1,
    y = 16,
    label = "P > 0.5",
    size = 7
  ) +
  scale_fill_manual(values = c("lightgreen", "lightblue", "grey", "lightblue")) +
  scale_pattern_manual(values = c("none", "none", "none", "stripe")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none")

proportion larvae and pupae survival

proportion larvae

plmod <- glm(cbind(live_larvae, dead_larvae) ~ fungicide + crithidia + avg_pollen + block + duration + workers_alive, data = brood, family = binomial("logit"))
Anova(plmod)
## Analysis of Deviance Table (Type II tests)
## 
## Response: cbind(live_larvae, dead_larvae)
##               LR Chisq Df Pr(>Chisq)   
## fungicide       0.2335  1   0.628962   
## crithidia       0.0073  1   0.931992   
## avg_pollen      1.3257  1   0.249572   
## block          26.0519  8   0.001029 **
## duration        5.9041  1   0.015106 * 
## workers_alive   1.1226  1   0.289357   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
drop1(plmod, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(live_larvae, dead_larvae) ~ fungicide + crithidia + avg_pollen + 
##     block + duration + workers_alive
##               Df Deviance    AIC     LRT Pr(>Chi)   
## <none>             46.944 114.62                    
## fungicide      1   47.178 112.85  0.2335 0.628962   
## crithidia      1   46.952 112.62  0.0073 0.931992   
## avg_pollen     1   48.270 113.94  1.3257 0.249572   
## block          8   72.996 124.67 26.0519 0.001029 **
## duration       1   52.848 118.52  5.9041 0.015106 * 
## workers_alive  1   48.067 113.74  1.1226 0.289357   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plmod1 <- update(plmod, .~. -workers_alive)
drop1(plmod1, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(live_larvae, dead_larvae) ~ fungicide + crithidia + avg_pollen + 
##     block + duration
##            Df Deviance    AIC     LRT Pr(>Chi)   
## <none>          48.067 113.74                    
## fungicide   1   48.310 111.98  0.2435 0.621688   
## crithidia   1   48.119 111.79  0.0525 0.818706   
## avg_pollen  1   48.596 112.27  0.5290 0.467034   
## block       8   73.013 122.69 24.9462 0.001588 **
## duration    1   58.565 122.24 10.4982 0.001195 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plmod2 <- update(plmod1, .~. -avg_pollen)
drop1(plmod2, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(live_larvae, dead_larvae) ~ fungicide + crithidia + block + 
##     duration
##           Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>         48.596 112.27                      
## fungicide  1   48.829 110.50  0.2330 0.6292730    
## crithidia  1   48.616 110.29  0.0199 0.8877947    
## block      8   77.731 125.40 29.1347 0.0003003 ***
## duration   1   59.635 121.31 11.0388 0.0008922 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(plmod2)
## Analysis of Deviance Table (Type II tests)
## 
## Response: cbind(live_larvae, dead_larvae)
##           LR Chisq Df Pr(>Chisq)    
## fungicide   0.2330  1  0.6292730    
## crithidia   0.0199  1  0.8877947    
## block      29.1347  8  0.0003003 ***
## duration   11.0388  1  0.0008922 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(plmod2)
## 
## Call:
## glm(formula = cbind(live_larvae, dead_larvae) ~ fungicide + crithidia + 
##     block + duration, family = binomial("logit"), data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.3237  -0.5519   0.0000   0.7894   2.5069  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)   14.60178    3.97877   3.670 0.000243 ***
## fungicideTRUE  0.17912    0.37191   0.482 0.630077    
## crithidiaTRUE -0.04958    0.35142  -0.141 0.887792    
## block4        -1.42228    0.88102  -1.614 0.106452    
## block6        -1.56753    1.01330  -1.547 0.121875    
## block7        -1.97885    0.86417  -2.290 0.022028 *  
## block8        -1.37953    0.92912  -1.485 0.137603    
## block9        -2.07110    0.86256  -2.401 0.016345 *  
## block10        1.04134    0.65380   1.593 0.111216    
## block11       -1.44815    1.30648  -1.108 0.267675    
## block12       -0.08539    0.76238  -0.112 0.910824    
## duration      -0.26367    0.08352  -3.157 0.001595 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 79.536  on 27  degrees of freedom
## Residual deviance: 48.596  on 16  degrees of freedom
## AIC: 112.27
## 
## Number of Fisher Scoring iterations: 5

proportion pupae

ppmod <- glm(cbind(live_pupae, dead_pupae) ~ fungicide + crithidia + avg_pollen + block + duration + workers_alive, data = brood, family = binomial("logit"))
## Warning: glm.fit: algorithm did not converge
## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred
Anova(ppmod)
## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred
## Warning: glm.fit: algorithm did not converge
## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred
## Warning: glm.fit: algorithm did not converge
## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred
## Warning: glm.fit: algorithm did not converge
## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred
## Analysis of Deviance Table (Type II tests)
## 
## Response: cbind(live_pupae, dead_pupae)
##               LR Chisq Df Pr(>Chisq)    
## fungicide         0.47  1     0.4948    
## crithidia         0.00  1     1.0000    
## avg_pollen        0.00  1     1.0000    
## block             7.89  8     0.4447    
## duration        334.66  1     <2e-16 ***
## workers_alive     5.85  1     0.0156 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
drop1(ppmod, test = "Chisq")
## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred
## Warning: glm.fit: algorithm did not converge
## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred
## Warning: glm.fit: algorithm did not converge
## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred
## Warning: glm.fit: algorithm did not converge
## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred
## Single term deletions
## 
## Model:
## cbind(live_pupae, dead_pupae) ~ fungicide + crithidia + avg_pollen + 
##     block + duration + workers_alive
##               Df Deviance    AIC    LRT Pr(>Chi)    
## <none>               0.00  36.63                    
## fungicide      1     0.47  35.10   0.47   0.4948    
## crithidia      1     0.00  34.63   0.00   1.0000    
## avg_pollen     1     0.00  34.63   0.00   1.0000    
## block          8     7.89  28.52   7.89   0.4447    
## duration       1   334.66 369.29 334.66   <2e-16 ***
## workers_alive  1     5.85  40.48   5.85   0.0156 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
ppmod1 <- update(ppmod, .~. -block)
drop1(ppmod1, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(live_pupae, dead_pupae) ~ fungicide + crithidia + avg_pollen + 
##     duration + workers_alive
##               Df Deviance    AIC    LRT Pr(>Chi)  
## <none>             7.8857 28.518                  
## fungicide      1   8.5302 27.163 0.6445  0.42207  
## crithidia      1   9.3781 28.011 1.4925  0.22184  
## avg_pollen     1  11.8154 30.448 3.9298  0.04744 *
## duration       1  10.9993 29.632 3.1137  0.07764 .
## workers_alive  1  14.4788 33.112 6.5931  0.01024 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
ppmod2 <- update(ppmod1, .~. -duration)
drop1(ppmod2, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(live_pupae, dead_pupae) ~ fungicide + crithidia + avg_pollen + 
##     workers_alive
##               Df Deviance    AIC    LRT Pr(>Chi)   
## <none>             10.999 29.632                   
## fungicide      1   11.021 27.653 0.0211 0.884443   
## crithidia      1   11.486 28.119 0.4864 0.485529   
## avg_pollen     1   12.481 29.114 1.4817 0.223507   
## workers_alive  1   18.067 34.699 7.0672 0.007851 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
ppmod3 <- update(ppmod2, .~. -avg_pollen)
drop1(ppmod3, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(live_pupae, dead_pupae) ~ fungicide + crithidia + workers_alive
##               Df Deviance    AIC    LRT Pr(>Chi)  
## <none>             12.481 29.114                  
## fungicide      1   12.559 27.192 0.0779  0.78011  
## crithidia      1   12.525 27.158 0.0444  0.83313  
## workers_alive  1   18.536 33.169 6.0550  0.01387 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(ppmod3)
## Analysis of Deviance Table (Type II tests)
## 
## Response: cbind(live_pupae, dead_pupae)
##               LR Chisq Df Pr(>Chisq)  
## fungicide       0.0779  1    0.78011  
## crithidia       0.0444  1    0.83313  
## workers_alive   6.0550  1    0.01387 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(ppmod3)
## 
## Call:
## glm(formula = cbind(live_pupae, dead_pupae) ~ fungicide + crithidia + 
##     workers_alive, family = binomial("logit"), data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -1.7274   0.0000   0.2950   0.4739   0.9934  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)  
## (Intercept)    0.06189    2.02471   0.031    0.976  
## fungicideTRUE  0.32433    1.17111   0.277    0.782  
## crithidiaTRUE -0.23659    1.11658  -0.212    0.832  
## workers_alive  0.86841    0.36701   2.366    0.018 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 20.674  on 24  degrees of freedom
## Residual deviance: 12.481  on 21  degrees of freedom
## AIC: 29.114
## 
## Number of Fisher Scoring iterations: 6

proportion larvae and pupae

brood$live.lp <- brood$live_larvae + brood$live_pupae
brood$dead.lp <- brood$dead_larvae + brood$dead_pupae


lp.mod <- glm(cbind(live.lp, dead.lp) ~ fungicide + crithidia + block + duration, data = brood, family = binomial("logit"))
drop1(lp.mod, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(live.lp, dead.lp) ~ fungicide + crithidia + block + duration
##           Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>         49.967 117.75                      
## fungicide  1   50.195 115.98  0.2287 0.6324816    
## crithidia  1   50.106 115.89  0.1398 0.7085134    
## block      8   71.401 123.19 21.4348 0.0060778 ** 
## duration   1   60.986 126.78 11.0197 0.0009015 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(lp.mod)
## 
## Call:
## glm(formula = cbind(live.lp, dead.lp) ~ fungicide + crithidia + 
##     block + duration, family = binomial("logit"), data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.7214  -0.2108   0.0000   0.8444   2.4278  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)    14.4401     3.7762   3.824 0.000131 ***
## fungicideTRUE   0.1698     0.3558   0.477 0.633193    
## crithidiaTRUE  -0.1214     0.3245  -0.374 0.708384    
## block4         -1.5238     0.8558  -1.781 0.074988 .  
## block6         -1.7535     0.9540  -1.838 0.066072 .  
## block7         -1.9081     0.8343  -2.287 0.022188 *  
## block8         -1.2544     0.9113  -1.376 0.168680    
## block9         -1.9538     0.8137  -2.401 0.016340 *  
## block10         0.4782     0.6109   0.783 0.433707    
## block11        -1.3380     1.2701  -1.053 0.292157    
## block12        -0.5217     0.7178  -0.727 0.467398    
## duration       -0.2509     0.0791  -3.172 0.001516 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 76.309  on 27  degrees of freedom
## Residual deviance: 49.967  on 16  degrees of freedom
## AIC: 117.76
## 
## Number of Fisher Scoring iterations: 5
Anova(lp.mod)
## Analysis of Deviance Table (Type II tests)
## 
## Response: cbind(live.lp, dead.lp)
##           LR Chisq Df Pr(>Chisq)    
## fungicide   0.2287  1  0.6324816    
## crithidia   0.1398  1  0.7085134    
## block      21.4348  8  0.0060778 ** 
## duration   11.0197  1  0.0009015 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Drones health metric

Dry Weight

plot(drones$treatment, drones$dry_weight)

plot(drones_rf$treatment, drones_rf$dry_weight)

plot(brood$treatment, brood$drones)

shapiro.test(drones$dry_weight)
## 
##  Shapiro-Wilk normality test
## 
## data:  drones$dry_weight
## W = 0.99166, p-value = 0.1135
hist(drones$dry_weight)

range(drones$dry_weight)
## [1] 0.0166 0.0541
dry <- lmer(dry_weight ~ fungicide + crithidia + workers_alive + block + emerge + (1|colony), data = drones)
drop1(dry, test = "Chisq")
## Single term deletions
## 
## Model:
## dry_weight ~ fungicide + crithidia + workers_alive + block + 
##     emerge + (1 | colony)
##               npar     AIC     LRT Pr(Chi)  
## <none>             -1999.9                  
## fungicide        1 -2001.7  0.1493 0.69923  
## crithidia        1 -1997.3  4.5582 0.03276 *
## workers_alive    1 -2000.1  1.7920 0.18069  
## block            7 -1997.3 16.6047 0.02013 *
## emerge           1 -1998.7  3.1875 0.07420 .
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dry1 <- update(dry, .~. -workers_alive)
drop1(dry1, test= "Chisq")
## Single term deletions
## 
## Model:
## dry_weight ~ fungicide + crithidia + block + emerge + (1 | colony)
##           npar     AIC     LRT Pr(Chi)  
## <none>         -2000.1                  
## fungicide    1 -2001.2  0.9199 0.33749  
## crithidia    1 -1998.5  3.5794 0.05850 .
## block        7 -1998.1 16.0008 0.02511 *
## emerge       1 -1998.1  3.9614 0.04656 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dry2 <- update(dry1, .~. -block)
drop1(dry2, test = "Chisq")
## Single term deletions
## 
## Model:
## dry_weight ~ fungicide + crithidia + emerge + (1 | colony)
##           npar     AIC    LRT Pr(Chi)  
## <none>         -1998.1                 
## fungicide    1 -1999.9 0.1553 0.69350  
## crithidia    1 -1999.3 0.7209 0.39585  
## emerge       1 -1993.8 6.2922 0.01213 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(dry2)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: dry_weight
##            Chisq Df Pr(>Chisq)  
## fungicide 0.1985  1    0.65596  
## crithidia 0.6241  1    0.42951  
## emerge    6.0119  1    0.01421 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(dry2)
## Linear mixed model fit by REML ['lmerMod']
## Formula: dry_weight ~ fungicide + crithidia + emerge + (1 | colony)
##    Data: drones
## 
## REML criterion at convergence: -1958.8
## 
## Scaled residuals: 
##      Min       1Q   Median       3Q      Max 
## -2.86701 -0.59248 -0.03622  0.60958  2.58281 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev.
##  colony   (Intercept) 6.923e-06 0.002631
##  Residual             4.271e-05 0.006535
## Number of obs: 281, groups:  colony, 24
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)  0.0522562  0.0059986   8.711
## fungicide   -0.0006294  0.0014127  -0.446
## crithidia    0.0011136  0.0014096   0.790
## emerge      -0.0003927  0.0001602  -2.452
## 
## Correlation of Fixed Effects:
##           (Intr) fungcd crithd
## fungicide  0.073              
## crithidia -0.072 -0.002       
## emerge    -0.983 -0.177 -0.023
sum_dry <- drones %>%
  group_by(treatment) %>%
  summarise(m = mean(dry_weight),
            sd = sd(dry_weight),
            n = length(dry_weight)) %>%
  mutate(se = sd/sqrt(n))

sum_dry
## # A tibble: 4 × 5
##   treatment      m      sd     n       se
##   <fct>      <dbl>   <dbl> <int>    <dbl>
## 1 1         0.0373 0.00752   102 0.000745
## 2 2         0.0376 0.00653    69 0.000786
## 3 3         0.0378 0.00706    49 0.00101 
## 4 4         0.0393 0.00665    61 0.000852

Radial Cell

shapiro.test(drones$radial_cell)
## 
##  Shapiro-Wilk normality test
## 
## data:  drones$radial_cell
## W = 0.97715, p-value = 0.0001916
hist(drones$radial_cell)

drones$log_rad <- log(drones$radial_cell)
shapiro.test(drones$log_rad)
## 
##  Shapiro-Wilk normality test
## 
## data:  drones$log_rad
## W = 0.96056, p-value = 6.877e-07
hist(drones$log_rad)

drones$square <- drones$radial_cell^3
shapiro.test(drones$square)
## 
##  Shapiro-Wilk normality test
## 
## data:  drones$square
## W = 0.99259, p-value = 0.1797
drones$box_rad <- bcPower(drones$radial_cell, lambda = 3, gamma = 1)
shapiro.test(drones$box_rad)
## 
##  Shapiro-Wilk normality test
## 
## data:  drones$box_rad
## W = 0.99259, p-value = 0.1795
hist(drones$box_rad)

plot(drones$treatment, drones$radial_cell)

plot(drones_rf$treatment, drones_rf$radial_cell)

drones_rf$square <-(drones_rf$radial_cell)^3
shapiro.test(drones_rf$square)
## 
##  Shapiro-Wilk normality test
## 
## data:  drones_rf$square
## W = 0.99215, p-value = 0.1516
drones_rf$mm <- (drones_rf$radial_cell)/1000
range(drones_rf$mm)
## [1] 2.073526 3.083439
shapiro.test(drones_rf$mm)
## 
##  Shapiro-Wilk normality test
## 
## data:  drones_rf$mm
## W = 0.97655, p-value = 0.0001662
rad_mod <- lmer(square ~ fungicide + crithidia + workers_alive + block + mean.pollen + emerge +  (1|colony), data = drones_rf)
drop1(rad_mod, test = "Chisq")
## Single term deletions
## 
## Model:
## square ~ fungicide + crithidia + workers_alive + block + mean.pollen + 
##     emerge + (1 | colony)
##               npar   AIC     LRT  Pr(Chi)   
## <none>             12933                    
## fungicide        1 12938  7.0625 0.007872 **
## crithidia        1 12933  1.6540 0.198421   
## workers_alive    1 12933  1.9253 0.165269   
## block            7 12930 11.1025 0.134210   
## mean.pollen      1 12934  3.1333 0.076707 . 
## emerge           1 12936  4.2611 0.038996 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
rm1 <- update(rad_mod, .~. -block)
drop1(rm1, test = "Chisq")
## Single term deletions
## 
## Model:
## square ~ fungicide + crithidia + workers_alive + mean.pollen + 
##     emerge + (1 | colony)
##               npar   AIC    LRT Pr(Chi)  
## <none>             12930                 
## fungicide        1 12931 3.0785 0.07933 .
## crithidia        1 12929 0.8953 0.34404  
## workers_alive    1 12929 0.2898 0.59035  
## mean.pollen      1 12929 0.2152 0.64270  
## emerge           1 12935 6.6204 0.01008 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
rm2 <- update(rm1, .~. -mean.pollen)
drop1(rm2, test = "Chisq")
## Single term deletions
## 
## Model:
## square ~ fungicide + crithidia + workers_alive + emerge + (1 | 
##     colony)
##               npar   AIC    LRT  Pr(Chi)   
## <none>             12929                   
## fungicide        1 12930 2.9609 0.085300 . 
## crithidia        1 12927 0.8763 0.349209   
## workers_alive    1 12927 0.7077 0.400224   
## emerge           1 12934 7.0805 0.007793 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
rm3 <- update(rm2, .~. -workers_alive)
drop1(rm3, test = "Chisq")
## Single term deletions
## 
## Model:
## square ~ fungicide + crithidia + emerge + (1 | colony)
##           npar   AIC    LRT  Pr(Chi)   
## <none>         12927                   
## fungicide    1 12929 3.8119 0.050889 . 
## crithidia    1 12926 0.6516 0.419537   
## emerge       1 12933 7.9923 0.004698 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(rm3)
## Linear mixed model fit by REML ['lmerMod']
## Formula: square ~ fungicide + crithidia + emerge + (1 | colony)
##    Data: drones_rf
## 
## REML criterion at convergence: 12752
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -2.9415 -0.5357  0.0455  0.5915  2.9574 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. 
##  colony   (Intercept) 8.620e+17 9.284e+08
##  Residual             1.189e+19 3.448e+09
## Number of obs: 276, groups:  colony, 24
## 
## Fixed effects:
##               Estimate Std. Error t value
## (Intercept)  2.858e+10  3.044e+09   9.388
## fungicide   -1.143e+09  6.022e+08  -1.898
## crithidia    4.190e+08  5.965e+08   0.703
## emerge      -2.274e+08  8.179e+07  -2.781
## 
## Correlation of Fixed Effects:
##           (Intr) fungcd crithd
## fungicide  0.123              
## crithidia -0.055 -0.009       
## emerge    -0.989 -0.206 -0.022
Anova(rm3)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: square
##            Chisq Df Pr(>Chisq)   
## fungicide 3.6022  1   0.057704 . 
## crithidia 0.4935  1   0.482353   
## emerge    7.7324  1   0.005424 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
qqnorm(resid(rad_mod));qqline(resid(rad_mod))

qqnorm(resid(rm1));qqline(resid(rm1))

qqnorm(resid(rm2));qqline(resid(rm2))

qqnorm(resid(rm3));qqline(resid(rm3))

Anova(rad_mod)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: square
##                Chisq Df Pr(>Chisq)  
## fungicide     4.9667  1    0.02584 *
## crithidia     0.3539  1    0.55189  
## workers_alive 0.7190  1    0.39646  
## block         6.3989  7    0.49402  
## mean.pollen   1.0793  1    0.29884  
## emerge        4.6697  1    0.03070 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
rem <- emmeans(rm3, pairwise ~ fungicide, type = "response")
rem
## $emmeans
##  fungicide   emmean       SE   df lower.CL upper.CL
##          0 2.03e+10 3.96e+08 17.1 1.94e+10 2.11e+10
##          1 1.91e+10 4.62e+08 20.5 1.82e+10 2.01e+10
## 
## Results are averaged over the levels of: crithidia 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                estimate       SE   df t.ratio p.value
##  fungicide0 - fungicide1 1.14e+09 6.08e+08 19.4   1.879  0.0754
## 
## Results are averaged over the levels of: crithidia 
## Degrees-of-freedom method: kenward-roger
re <-  setDT(as.data.frame(rem$emmeans))
cont_radial <- setDT(as.data.frame(rem$contrasts))
rad.cld <- cld(object =rem,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)

rad.cld
##  fungicide   emmean       SE   df lower.CL upper.CL .group
##          1 1.91e+10 4.62e+08 20.5 1.80e+10 2.03e+10  a    
##          0 2.03e+10 3.96e+08 17.1 1.93e+10 2.13e+10  a    
## 
## Results are averaged over the levels of: crithidia 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 2 estimates 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
sum_radial <- drones_rf %>%
  group_by(treatment) %>%
  summarise(m = mean(radial_cell),
            sd = sd(radial_cell),
            n = length(radial_cell)) %>%
  mutate(se = sd/sqrt(n))

sum_radial
## # A tibble: 4 × 5
##   treatment     m    sd     n    se
##   <fct>     <dbl> <dbl> <int> <dbl>
## 1 1         2699.  182.    99  18.3
## 2 2         2664.  174.    68  21.1
## 3 3         2660.  173.    49  24.7
## 4 4         2750.  136.    60  17.5
sum_radial$plot <- sum_radial$m + sum_radial$se

sum_radial.mm <- drones_rf %>%
  group_by(treatment) %>%
  summarise(m = mean(mm),
            sd = sd(mm),
            n = length(mm)) %>%
  mutate(se = sd/sqrt(n))

sum_radial.mm
## # A tibble: 4 × 5
##   treatment     m    sd     n     se
##   <fct>     <dbl> <dbl> <int>  <dbl>
## 1 1          2.70 0.182    99 0.0183
## 2 2          2.66 0.174    68 0.0211
## 3 3          2.66 0.173    49 0.0247
## 4 4          2.75 0.136    60 0.0175
sum_radial.mm$plot <- sum_radial.mm$m + sum_radial.mm$se
ggplot(sum_radial.mm, aes(x = treatment, y = m, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  scale_fill_viridis_d() +
  geom_errorbar(aes(ymin = m - se, ymax = m + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Radial Cell Length (mm)") +
   theme_classic(base_size = 20) +
    coord_cartesian(ylim=c(0,3)) +
  annotate(geom = "text", 
          x = 1, y = 3 ,
          label = "P > 0.05",
          size = 8) +
 theme(legend.position = "none",
 axis.text = element_text(size = 20),  # Set axis label font size
         axis.title = element_text(size = 20)) +  # Set axis title font size
     theme(text = element_text(size = 20))

Relative Fat (original units g/um)

shapiro.test(drones_rf$relative_fat)
## 
##  Shapiro-Wilk normality test
## 
## data:  drones_rf$relative_fat
## W = 0.97273, p-value = 4.049e-05
hist(drones_rf$relative_fat)

plot(drones_rf$treatment, drones_rf$relative_fat)

plot(drones_rf$treatment, drones_rf$fat_content)

range(drones_rf$relative_fat)
## [1] 0.0178 0.3400
drones_rf$log_ref <- log(drones_rf$relative_fat)
shapiro.test(drones_rf$log_ref)
## 
##  Shapiro-Wilk normality test
## 
## data:  drones_rf$log_ref
## W = 0.94339, p-value = 8.074e-09
drones_rf$box_rf <- bcPower(drones_rf$relative_fat, lambda = -5, gamma = 3)
shapiro.test(drones_rf$box_rf)
## 
##  Shapiro-Wilk normality test
## 
## data:  drones_rf$box_rf
## W = 0.98983, p-value = 0.05093
hist(drones_rf$box_rf)

rf_mod <- lmer(box_rf ~ fungicide + crithidia + block + mean.pollen + workers_alive + emerge + (1|colony), data = drones_rf)
drop1(rf_mod, test = "Chisq")
## Single term deletions
## 
## Model:
## box_rf ~ fungicide + crithidia + block + mean.pollen + workers_alive + 
##     emerge + (1 | colony)
##               npar     AIC     LRT   Pr(Chi)    
## <none>             -4745.1                      
## fungicide        1 -4745.4  1.6685 0.1964544    
## crithidia        1 -4744.6  2.4165 0.1200666    
## block            7 -4739.0 20.0043 0.0055605 ** 
## mean.pollen      1 -4745.9  1.1285 0.2880969    
## workers_alive    1 -4747.0  0.0185 0.8918694    
## emerge           1 -4733.6 13.4465 0.0002455 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
rf1 <- update(rf_mod, .~. -workers_alive)
drop1(rf1, test = "Chisq")
## Single term deletions
## 
## Model:
## box_rf ~ fungicide + crithidia + block + mean.pollen + emerge + 
##     (1 | colony)
##             npar     AIC     LRT   Pr(Chi)    
## <none>           -4747.0                      
## fungicide      1 -4747.3  1.7028 0.1919275    
## crithidia      1 -4746.5  2.5201 0.1124013    
## block          7 -4740.5 20.5477 0.0045006 ** 
## mean.pollen    1 -4747.5  1.5334 0.2156066    
## emerge         1 -4735.5 13.5735 0.0002294 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
rf2 <- update(rf1, .~. -mean.pollen)
drop1(rf2, test = "Chisq")
## Single term deletions
## 
## Model:
## box_rf ~ fungicide + crithidia + block + emerge + (1 | colony)
##           npar     AIC     LRT   Pr(Chi)    
## <none>         -4747.5                      
## fungicide    1 -4748.5  0.9992 0.3175155    
## crithidia    1 -4746.4  3.0840 0.0790674 .  
## block        7 -4741.3 20.1800 0.0051937 ** 
## emerge       1 -4736.4 13.0788 0.0002987 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
rf3 <- update(rf2, .~. -block)
drop1(rf3, test = "Chisq")
## Single term deletions
## 
## Model:
## box_rf ~ fungicide + crithidia + emerge + (1 | colony)
##           npar     AIC     LRT  Pr(Chi)    
## <none>         -4741.3                     
## fungicide    1 -4743.3  0.0000  0.99560    
## crithidia    1 -4738.8  4.5172  0.03356 *  
## emerge       1 -4724.5 18.7897 1.46e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
rf4 <- update(rf3, .~. -fungicide)
drop1(rf4, test = "Chisq")
## Single term deletions
## 
## Model:
## box_rf ~ crithidia + emerge + (1 | colony)
##           npar     AIC     LRT   Pr(Chi)    
## <none>         -4743.3                      
## crithidia    1 -4740.8  4.5197   0.03351 *  
## emerge       1 -4726.0 19.3533 1.086e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(rf4)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: box_rf
##             Chisq Df Pr(>Chisq)    
## crithidia  4.4038  1    0.03586 *  
## emerge    19.9613  1  7.903e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(rf3)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: box_rf
##             Chisq Df Pr(>Chisq)    
## fungicide  0.0028  1    0.95772    
## crithidia  4.2484  1    0.03929 *  
## emerge    19.3367  1  1.096e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(rf3)
## Linear mixed model fit by REML ['lmerMod']
## Formula: box_rf ~ fungicide + crithidia + emerge + (1 | colony)
##    Data: drones_rf
## 
## REML criterion at convergence: -4662.6
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.4419 -0.5485 -0.0038  0.5572  4.3343 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. 
##  colony   (Intercept) 4.178e-10 2.044e-05
##  Residual             1.771e-09 4.209e-05
## Number of obs: 276, groups:  colony, 24
## 
## Fixed effects:
##               Estimate Std. Error  t value
## (Intercept)  1.995e-01  4.024e-05 4957.603
## fungicide   -5.461e-07  1.030e-05   -0.053
## crithidia    2.126e-05  1.031e-05    2.061
## emerge      -4.716e-06  1.072e-06   -4.397
## 
## Correlation of Fixed Effects:
##           (Intr) fungcd crithd
## fungicide  0.046              
## crithidia -0.069  0.002       
## emerge    -0.980 -0.162 -0.035
qqnorm(resid(rf4));qqline(resid(rf4))

qqnorm(resid(rf3));qqline(resid(rf3))

anova(rf3, rf4, test = "Chisq")
## Data: drones_rf
## Models:
## rf4: box_rf ~ crithidia + emerge + (1 | colony)
## rf3: box_rf ~ fungicide + crithidia + emerge + (1 | colony)
##     npar     AIC     BIC logLik deviance Chisq Df Pr(>Chisq)
## rf4    5 -4743.3 -4725.2 2376.7  -4753.3                    
## rf3    6 -4741.3 -4719.6 2376.7  -4753.3     0  1     0.9956
AIC(rf3, rf4)
##     df       AIC
## rf3  6 -4650.563
## rf4  5 -4673.716
rf_em <- emmeans(rf3, pairwise ~ crithidia, type = "response")
rf_e <- setDT(as.data.frame(rf_em$emmeans))
rf_ce <- setDT(as.data.frame(rf_em$contrasts))

rf_em
## $emmeans
##  crithidia  emmean         SE    df lower.CL upper.CL
##          0 0.19931 6.6023e-06 19.34  0.19930  0.19932
##          1 0.19933 8.0124e-06 20.59  0.19931  0.19935
## 
## Results are averaged over the levels of: fungicide 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                 estimate       SE   df t.ratio p.value
##  crithidia0 - crithidia1 -2.13e-05 1.04e-05 19.8  -2.054  0.0534
## 
## Results are averaged over the levels of: fungicide 
## Degrees-of-freedom method: kenward-roger
rf_e
##    crithidia    emmean           SE       df  lower.CL  upper.CL
## 1:         0 0.1993103 6.602275e-06 19.34415 0.1992965 0.1993241
## 2:         1 0.1993316 8.012361e-06 20.59147 0.1993149 0.1993483
rf_ce
##                   contrast      estimate           SE       df   t.ratio
## 1: crithidia0 - crithidia1 -2.125763e-05 1.035116e-05 19.81501 -2.053647
##       p.value
## 1: 0.05344528
drones_rf$rfgmm <- (drones_rf$relative_fat_original)*1000

rf_sum <- drones_rf %>%
  group_by(treatment) %>%
  summarise(m = mean(relative_fat_original),
            sd = sd(relative_fat_original),
            n = length(relative_fat_original)) %>%
  mutate(se = sd/sqrt(n))

rf_sum <- drones_rf %>%
  group_by(treatment) %>%
  summarise(m = mean(rfgmm),
            sd = sd(rfgmm),
            n = length(rfgmm)) %>%
  mutate(se = sd/sqrt(n))

rf_sum
## # A tibble: 4 × 5
##   treatment       m       sd     n        se
##   <fct>       <dbl>    <dbl> <int>     <dbl>
## 1 1         0.00115 0.000438    99 0.0000440
## 2 2         0.00111 0.000408    68 0.0000495
## 3 3         0.00129 0.000508    49 0.0000726
## 4 4         0.00128 0.000435    60 0.0000561
rf_sum$plot <- rf_sum$m + rf_sum$se
ggplot(rf_sum, aes(x = treatment, y = m, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0, 0.4),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) +
  scale_fill_viridis_d() +
  geom_errorbar(aes(ymin = m - se, ymax = m + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Relative Fat (g/mm)") +
   theme_classic(base_size = 20) +
    coord_cartesian(ylim=c(0, 0.0015)) +
  annotate(geom = "text", 
          x = 1, y = 0.05,
          label = "P = 0.05",
          size = 8) +
 theme(legend.position = "none",
 axis.text = element_text(size = 20),  # Set axis label font size
         axis.title = element_text(size = 20)) +  # Set axis title font size
     theme(text = element_text(size = 20)) +
  scale_fill_manual(values = c("lightgreen", "lightblue", "grey", "lightblue")) +
  scale_pattern_manual(values = c("none", "none", "none", "stripe")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none")

Emerge days

drones$fungicide <- as.logical(drones$fungicide)
drones$crithidia <- as.logical(drones$crithidia)

em.mod <- glm.nb(emerge ~ fungicide + crithidia + dry_weight + live_weight + workers_alive + mean.pollen, data = drones)
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
drop1(em.mod, test = "Chisq")
## Single term deletions
## 
## Model:
## emerge ~ fungicide + crithidia + dry_weight + live_weight + workers_alive + 
##     mean.pollen
##               Df Deviance    AIC     LRT Pr(>Chi)  
## <none>             50.254 1598.9                   
## fungicide      1   53.127 1599.8 2.87292  0.09008 .
## crithidia      1   50.358 1597.0 0.10395  0.74714  
## dry_weight     1   51.685 1598.3 1.43124  0.23156  
## live_weight    1   50.753 1597.4 0.49862  0.48011  
## workers_alive  1   50.577 1597.2 0.32243  0.57015  
## mean.pollen    1   51.461 1598.1 1.20639  0.27205  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
em.mod <- glm.nb(emerge ~ fungicide + crithidia + mean.pollen, data = drones)
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
summary(em.mod)
## 
## Call:
## glm.nb(formula = emerge ~ fungicide + crithidia + mean.pollen, 
##     data = drones, init.theta = 3582640.712, link = log)
## 
## Deviance Residuals: 
##      Min        1Q    Median        3Q       Max  
## -1.03374  -0.37053  -0.04538   0.30199   1.82050  
## 
## Coefficients:
##                Estimate Std. Error z value Pr(>|z|)    
## (Intercept)    3.668832   0.037831  96.980   <2e-16 ***
## fungicideTRUE  0.038467   0.019723   1.950   0.0511 .  
## crithidiaTRUE -0.007431   0.020095  -0.370   0.7116    
## mean.pollen   -0.097250   0.054745  -1.776   0.0757 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(3582641) family taken to be 1)
## 
##     Null deviance: 59.662  on 280  degrees of freedom
## Residual deviance: 52.683  on 277  degrees of freedom
## AIC: 1597.3
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  3582641 
##           Std. Err.:  40058159 
## Warning while fitting theta: iteration limit reached 
## 
##  2 x log-likelihood:  -1587.309
drop1(em.mod, test = "Chisq")
## Single term deletions
## 
## Model:
## emerge ~ fungicide + crithidia + mean.pollen
##             Df Deviance    AIC    LRT Pr(>Chi)  
## <none>           52.683 1595.3                  
## fungicide    1   56.480 1597.1 3.7967  0.05135 .
## crithidia    1   52.820 1593.5 0.1368  0.71148  
## mean.pollen  1   55.833 1596.5 3.1506  0.07590 .
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(em.mod)
## Analysis of Deviance Table (Type II tests)
## 
## Response: emerge
##             LR Chisq Df Pr(>Chisq)  
## fungicide     3.7967  1    0.05135 .
## crithidia     0.1368  1    0.71148  
## mean.pollen   3.1506  1    0.07590 .
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
em_sum <- drones %>%
  group_by(treatment) %>%
  summarise(m = mean(emerge),
            sd = sd(emerge),
            n = length(emerge)) %>%
  mutate(se = sd/sqrt(n))

em_sum
## # A tibble: 4 × 5
##   treatment     m    sd     n    se
##   <fct>     <dbl> <dbl> <int> <dbl>
## 1 1          37.0  2.41   102 0.238
## 2 2          38.1  2.54    69 0.306
## 3 3          38.4  4.08    49 0.583
## 4 4          36.5  2.23    61 0.286
em_sum$plot <- em_sum$m + em_sum$se
ggplot(em_sum, aes(x = treatment, y = m, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0, 0.4),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) +
  scale_fill_viridis_d() +
  geom_errorbar(aes(ymin = m - se, ymax = m + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Days") +
   theme_classic(base_size = 20) +
    coord_cartesian(ylim=c(30, 40)) +
  annotate(geom = "text", 
          x = 1, y = 0.05,
          label = "P = 0.05",
          size = 8) +
 theme(legend.position = "none",
 axis.text = element_text(size = 20),  # Set axis label font size
         axis.title = element_text(size = 20)) +  # Set axis title font size
     theme(text = element_text(size = 20)) +
  scale_fill_manual(values = c("lightgreen", "lightblue", "grey", "lightblue")) +
  scale_pattern_manual(values = c("none", "none", "none", "stripe")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none")

qPCR

p <- ggplot(qpcr, aes(x = days_since_innoculation, y = spores, color = colony)) +
  geom_point() + 
  geom_line(aes(group = bee_id), alpha = 0.5) +
  labs(title = "Spores per Bee Over Time",
       x = "Time",
       y = "Number of Spores",
       color = "Colony") +
  facet_wrap(~bee_id)

interactive_plot <- ggplotly(p)

interactive_plot
---
title: "Bumble bee disease dynamics"
author: "Emily Runnion"
date: "Data Collected 2022"
output:
  html_document:
    toc: true
    toc_depth: 4
    number_sections: false
    toc_float: true
    theme: journal
    code_download: true
---

```{r setup, include=FALSE}
knitr::opts_chunk$set(message = FALSE)
```


```{r load libraries, include=FALSE}
library(readr)
library(viridisLite)
library(stats)
library(ggplot2)
library(car)
library(emmeans)
library(MASS)
library(lme4)
library(tidyverse)
library(dplyr)
library(ggpattern)
library(kableExtra)
library(blmeco)
library(tidyverse)
library(dplyr)
library(cowplot)
library(plotly)
library(agricolae) 
library(ggpubr)
library(glue)
library(multcomp)
library(multcompView)
library(glmmTMB)
library(rstatix)
library(fitdistrplus)
library(logspline)
library(GGally)
library(data.table)
```


# Input Data 

```{r}
brood <- read_csv("brood.csv")
brood$colony <- as.factor(brood$colony)
brood$treatment <- as.factor(brood$treatment)
brood$block <- as.factor(brood$replicate)


pollen <- read_csv("pollen.csv")
pollen$colony <- as.factor(pollen$colony)
pollen$treatment <- as.factor(pollen$treatment)
pollen$block <- as.factor(pollen$block)

workers <- read_csv("workers.csv")
workers$colony <- as.factor(workers$colony)
workers$treatment <- as.factor(workers$treatment)
workers$block <- as.factor(workers$block)
workers$qro <- as.factor(workers$qro)
workers$inoculate <- as.logical(workers$inoculate)

workers_dry <- read_csv("workers_dry.csv")
workers_dry$colony <- as.factor(workers_dry$colony)
workers_dry$treatment <- as.factor(workers_dry$treatment)
workers_dry$block <- as.factor(workers_dry$block)
workers_dry$qro <- as.factor(workers_dry$qro)
workers_dry$inoculate <- as.logical(workers_dry$inoculate)


duration <- read_csv("duration.csv")
duration$treatment <- as.factor(duration$treatment)
duration$block <- as.factor(duration$block)
duration$colony <- as.factor(duration$colony)
duration$qro <- as.factor(duration$qro)

drones <- read_csv("drones.csv")
drones$treatment <- as.factor(drones$treatment)
drones$block <- as.factor(drones$block)
drones$colony <- as.factor(drones$colony)
drones$id <- as.factor(drones$id)
drones$abdomen_post_ethyl <- as.numeric(drones$abdomen_post_ethyl)

drones_rf <- read_csv("drones_rf.csv")
drones_rf$treatment <- as.factor(drones_rf$treatment)
drones_rf$block <- as.factor(drones_rf$block)
drones_rf$colony <- as.factor(drones_rf$colony)
drones_rf$id <- as.factor(drones_rf$id)
drones_rf$abdomen_post_ethyl <- as.numeric(drones_rf$abdomen_post_ethyl)

qro <- read_csv("qro.csv")
qro$colony <- as.factor(qro$colony)
qro$qro <- as.factor(qro$qro)
qro$fungicide <- as.logical(qro$fungicide)
qro$crithidia <- as.logical(qro$crithidia)
qro_simple <- qro[c('colony', 'qro', 'fungicide', 'crithidia')]
qro_pol <- qro[c('colony', 'qro')]

pollen <- merge(pollen, qro_pol, by = "colony", all = FALSE)

brood1 <- merge(brood, duration, by = "colony", all = FALSE)

custom_labels <- c("Control", "Fungicide",  "Fungicide + Crithidia", "Crithidia")

avg.pol <- pollen %>%
  group_by(colony) %>%
  summarise(avg.pol = mean(whole_dif))
  
duration <- merge(duration, avg.pol, by = "colony", all = FALSE)

new_dataframe <- duration[c('colony', 'days_active')]
brood <- merge(qro_simple, brood, by = "colony", all = FALSE)
workers <- merge(new_dataframe, workers, by = "colony", all = FALSE)

qpcr <- read_csv("qPCR results final.csv", 
    col_types = cols(treatment = col_factor(levels = c("3", 
        "4")), replicate = col_factor(levels = c("1", 
        "4", "6", "7", "8", "9", "10", "11", 
        "12")), start = col_date(format = "%m/%d/%Y"), 
        Innoculation_date = col_date(format = "%m/%d/%Y"), 
        date = col_date(format = "%m/%d/%Y"), 
        round = col_factor(levels = c("1", 
            "2", "3")), trial = col_skip()))

qpcr$colony <- as.factor(qpcr$colony)
qpcr$bee_id <- as.factor(qpcr$bee_id)
qpcr$spores <- as.double(qpcr$spores)

```

# Collinearity 

```{r}
# brood cells
brood.col <- lm(brood_cells~ treatment.x + block.x + workers_alive.x + qro + days_active + avg_pollen, data = brood1)
Anova(brood.col)
drop1(brood.col, test = "Chisq")
b1 <- update(brood.col, .~. -qro)
vif(b1)
b2 <- update(b1, .~. -block.x)
anova(brood.col, b1, b2)
AIC(b1, b2)
vif(b2)
drop1(b2, test = "Chisq")
anova(b1, b2)

anova(b1, brood.col)
drop1(b1, test = "Chisq")
b2 <- update(b1, .~. -days_active)
vif(b2)
AIC(b1, b2)
anova(b1, b2)
drop1(b2, test = "Chisq")

#don't include qro

```



# Average pollen consumed per colony
```{r}

pol_consum_sum <- pollen %>%
  group_by(colony) %>%
  summarise(mean.pollen = mean(whole_dif))

pol_consum_sum <- as.data.frame(pol_consum_sum)

workers <- merge(workers, pol_consum_sum, by = "colony", all = FALSE)
#brood <- merge(brood, pol_consum_sum, by = "colony", all = FALSE)
duration <- merge(duration, pol_consum_sum, by = "colony", all = FALSE)
pollen$count <- as.factor(pollen$`pollen ball id`)


#drones <- na.omit(drones)
#brood <- na.omit(brood)

```


# Pollen Consumption

```{r}

shapiro.test(pollen$whole_dif)
hist(pollen$whole_dif)
range(pollen$whole_dif)

pollen$box <- bcPower(pollen$whole_dif, -4, gamma=1)
shapiro.test(pollen$box)
hist(pollen$box)

pollen$log <- log(pollen$whole_dif)
shapiro.test(pollen$log)
hist(pollen$log)

pollen$square <- pollen$whole_dif^2
shapiro.test(pollen$square)
hist(pollen$square)

pollen$root <- sqrt(pollen$whole_dif)
shapiro.test(pollen$root)
hist(pollen$root)

descdist(pollen$whole_dif, discrete = FALSE)

ggplot(pollen, aes(x = box, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.01, col = I("black")) +
  scale_fill_viridis_d() +  # Use viridis_d() for the color-blind friendly palette
  ggtitle("Pollen Consumption(g)") +
  labs(y = "Count", x = "Pollen (g)")


```



```{r}
pollen$count <- as.numeric(pollen$count)
pollen$fungicide <- as.logical(pollen$fungicide)
pollen$crithidia <- as.logical(pollen$crithidia)
pollen$id <- as.factor(pollen$`pollen ball id`)

pol.mod <- lmer(whole_dif ~ fungicide*crithidia + id + block + count + workers_alive + (1|colony), data = pollen)
drop1(pol.mod, test = "Chisq")
pm1 <- update(pol.mod, .~. -count)
drop1(pm1, test = "Chisq")

pol.mod1 <- lmer(whole_dif ~ fungicide + crithidia + block + id + workers_alive + (1|colony), data = pollen)
drop1(pol.mod1, test = "Chisq")
qqnorm(resid(pol.mod1));qqline(resid(pol.mod1))
#this model says: average pollen consumed ~ yes/no Fung + yes/no Crit. + workers surviving when colony was frozen + time (id is pollen ball id, meaning it is the pollen ball number) + block + random effect of colony) 

pe <- emmeans(pol.mod1, pairwise ~ crithidia, type = "response")
pe

library(glmmTMB)
pol.glmm1 <- glmmTMB(whole_dif ~ fungicide*crithidia + workers_alive + block + id + (1|colony), data = pollen)
summary(pol.glmm1)

drop1(pol.glmm1, test = "Chisq")

pol.glmm <- glmmTMB(whole_dif ~ fungicide + crithidia + workers_alive + block + id + (1|colony), data = pollen)
summary(pol.glmm)

drop1(pol.glmm, test = "Chisq")

qqnorm(resid(pol.glmm));qqline(resid(pol.glmm))

pe <- emmeans(pol.glmm, pairwise ~ crithidia, type = "response")
pe

AIC(pol.glmm, pol.glmm1)

Anova(pol.glmm)

ggplot(data = pollen, aes(x = count, y = whole_dif, fill = treatment)) +
  geom_smooth() +
  labs(x = "Time", y = "Mean Pollen Consumed (g)")

pollen_sum <- pollen %>%
  group_by(treatment) %>%
  summarise(mean = mean(whole_dif),
            sd = sd(whole_dif),
            n = length(whole_dif)) %>%
  mutate(se = sd/sqrt(n))

pollen_box_sum <- pollen %>%
  group_by(treatment) %>%
  summarise(mean = mean(box),
            sd = sd(box),
            n = length(box)) %>%
  mutate(se = sd/sqrt(n))

pollen_sum 
pollen_box_sum

pollen_sum$plot <- pollen_sum$mean + pollen_sum$se

```



```{r, fig.width= 10, fig.height= 8}
ggplot(data = pollen_sum, aes(x = treatment, y = mean, fill = treatment)) +
   geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0.4, 0),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) +
   coord_cartesian(ylim = c(0, 0.55)) +
  geom_errorbar(aes(ymin = mean - se, ymax = mean + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Average Pollen Consumed (g)") +
  annotate(
    geom = "text",
    x = 3,
    y = 0.55,
    label = "P = 0.04",
    size = 8
  ) + 
  theme_classic(base_size = 20) +
  scale_fill_manual(values = c("lightgreen", "lightblue", "lightblue", "grey")) +
  scale_pattern_manual(values = c("none", "none", "stripe", "none")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none") +
   geom_segment(x = 1, xend = 2, y = 0.54, yend = 0.54, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 1, xend = 1, y = 0.54, yend = 0.53, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 2, xend = 2, y = 0.54, yend = 0.53, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 3, xend = 4, y = 0.42, yend = 0.42, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 3, xend = 3, y = 0.42, yend = 0.41, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 4, xend = 4, y = 0.42, yend = 0.41, 
               lineend = "round", linejoin = "round") +
  geom_text(x = 1.5, y = 0.55, label = "a", size = 6, vjust = -0.5) +
  geom_text(x = 3.5, y = 0.43, label = "b", size = 6, vjust = -0.5)
```

# Worker Survival

```{r}
duration$fungicide <- as.logical(duration$fungicide)
duration$crithidia <- as.logical(duration$crithidia)

cbw1 <- glm(cbind(workers_alive, workers_dead) ~ fungicide*crithidia + mean.pollen + block + days_active, data = duration, family = binomial("logit"))
Anova(cbw1)
drop1(cbw1, test = "Chisq")

cbw1 <- glm(cbind(workers_alive, workers_dead) ~ fungicide + crithidia + mean.pollen + block + days_active, data = duration, family = binomial("logit"))
Anova(cbw1)
drop1(cbw1, test = "Chisq")
cbw2 <- update(cbw1, .~. -days_active)
drop1(cbw2, test = "Chisq")
Anova(cbw2)

qqnorm(resid(cbw2));qqline(resid(cbw2))

Anova(cbw2)

summary(cbw2)

worker_sum <-duration %>%
  group_by(treatment) %>%
  summarise(m = mean(workers_alive),
            sd = sd(workers_alive))

worker_sum

worker_sum <-duration %>%
  group_by(treatment) %>%
  summarise(m = mean(workers_alive),
            sd = sd(workers_alive),
            l = length(workers_alive)) %>%
  mutate(se = sd/sqrt(l))


worker_sum

workers$prob <- workers$days_alive / workers$days_active

worker_prob_sum <-workers %>%
  group_by(treatment) %>%
  summarise(m = mean(prob),
            sd = sd(prob),
            l = length(prob)) %>%
  mutate(se = sd/sqrt(l))

worker_prob_sum$plot <- worker_prob_sum$m + worker_prob_sum$se

worker_prob_sum$treatment <- as.factor(worker_prob_sum$treatment)

```


```{r, fig.width= 10, fig.height= 8}
ggplot(data = worker_prob_sum, aes(x = treatment, y = m, fill = treatment)) +
 geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0, 0.4),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)) +
   coord_cartesian(ylim = c(0.5, 1.05)) +
  geom_errorbar(aes(ymin = m - se, ymax = m + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Probability") +
  theme_classic(base_size = 20) +
  annotate(
    geom = "text",
    x = 1,
    y = 1.05,
    label = "P = 0.05",
    size = 7
  ) +  # Add stripes to the fourth column
  scale_fill_manual(values = c("lightgreen", "lightblue", "grey", "lightblue")) +
  scale_pattern_manual(values = c("none", "none", "none", "stripe")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none")

```


# Days workers survive

```{r}
workers$fungicide <- as.logical(workers$fungicide)
workers$crithidia <- as.logical(workers$crithidia)

dayswrk <- glmer.nb(days_alive ~ fungicide*crithidia + avg_pollen + inoculate + block + (1|colony), data = workers)
drop1(dayswrk, test = "Chisq")


dayswrk <- glmer.nb(days_alive ~ fungicide + crithidia + block + inoculate + (1|colony), data = workers)
drop1(dayswrk, test = "Chisq")
dayswrk1 <- update(dayswrk, .~. -inoculate)
drop1(dayswrk1, test = "Chisq")
Anova(dayswrk1)


worker_days_sum <-workers %>%
  group_by(treatment) %>%
  summarise(m = mean(days_alive),
            sd = sd(days_alive),
            l = length(days_alive)) %>%
  mutate(se = sd/sqrt(l))

worker_days_sum$plot <- worker_days_sum$m + worker_days_sum$se

worker_days_sum$treatment <- as.factor(worker_days_sum$treatment)

```

```{r, fig.width=10, fig.height=8}
ggplot(data = worker_days_sum, aes(x = treatment, y = m, fill = treatment, pattern = treatment)) +
  geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0, 0.4),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) +
   coord_cartesian(ylim = c(20, 45)) +
  geom_errorbar(aes(ymin = m - se, ymax = m + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Days") +
  theme_classic(base_size = 20) +
  annotate(
    geom = "text",
    x = 1,
    y = 45,
    label = "P > 0.05",
    size = 7
  ) + scale_fill_manual(values = c("lightgreen", "lightblue", "grey", "lightblue")) +
  scale_pattern_manual(values = c("none", "none", "none", "stripe")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none")
```



```{r}
durmod <- glm.nb(days_active ~ fungicide + crithidia + mean.pollen + days_first_ov, data = duration)
drop1(durmod, test = "Chisq")

durmod <- glm.nb(days_active ~ fungicide + crithidia + mean.pollen, data = duration)
drop1(durmod, test = "Chisq")
summary(durmod)

Anova(durmod)


plot(duration$treatment, duration$days_active)

```




# Worker dry weight

```{r}

hist(workers_dry$dry)

shapiro.test(workers_dry$dry)

workers_dry$logdry <- log(workers_dry$dry)


shapiro.test(workers_dry$logdry)

hist(workers_dry$logdry)

wrkdry <- lmer(logdry ~ fungicide*crithidia + avg_pollen + inoculate +block + (1|colony), data = workers_dry)
drop1(wrkdry, test = "Chisq")

wrkdry <- lmer(logdry ~ fungicide + crithidia + avg_pollen + inoculate +block + (1|colony), data = workers_dry)
drop1(wrkdry, test = "Chisq")
wrkdry1 <- update(wrkdry, .~. -inoculate)
drop1(wrkdry1, test = "Chisq")
summary(wrkdry1)
Anova(wrkdry1)

qqnorm(resid(wrkdry1));qqline(resid(wrkdry1))

pe <- emmeans(wrkdry1, pairwise ~ crithidia, type = "response")
pe

wrkdrysum <- workers_dry %>%
  group_by(treatment) %>%
  summarise(m = mean(dry),
            sd = sd(dry),
            n = length(dry)) %>%
  mutate(se = sd/sqrt(n))

wrkdrysum

wtuk.means <- emmeans(object = wrkdry1,
                        specs = "crithidia",
                        adjust = "Tukey",
                        type = "response")

wtuk.means

w.cld.model <- cld(object = wtuk.means,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
w.cld.model

```

```{r, fig.width= 10, fig.height= 8}
ggplot(data = wrkdrysum, aes(x = treatment, y = m, fill = treatment)) +
  geom_col(col = "black") +
  coord_cartesian(ylim = c(0, 0.08)) +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Worker Dry Weight (g)") +
  geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0.4, 0),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) + 
  geom_errorbar(aes(ymin = m - se, ymax = m + se), width = 0.2, position = position_dodge(0.9))  + 
  theme_classic(base_size = 20) +
  theme(legend.position = "none") +
  annotate(
    geom = "text",
    x = 4,
    y = 0.079,
    label = "P = 0.02",
    size = 7
  ) +
  theme(legend.position = "none")  +
  scale_x_discrete(labels = custom_labels) +
  scale_fill_manual(values = c("lightgreen", "lightblue", "lightblue", "grey")) +
  scale_pattern_manual(values = c("none", "none", "stripe", "none")) + 
   geom_segment(x = 1, xend = 2, y = 0.07, yend = 0.07, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 1, xend = 1, y = 0.07, yend = 0.069, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 2, xend = 2, y = 0.07, yend = 0.069, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 3, xend = 4, y = 0.06, yend = 0.06, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 3, xend = 3, y = 0.06, yend = 0.059, 
               lineend = "round", linejoin = "round") +
  geom_segment(x = 4, xend = 4, y = 0.06, yend = 0.059, 
               lineend = "round", linejoin = "round") +
  geom_text(x = 1.5, y = 0.071, label = "a", size = 6, vjust = -0.5) +
  geom_text(x = 3.5, y = 0.061, label = "b", size = 6, vjust = -0.5)


```


```{r, fig.width= 10, fig.height= 8}
ggplot(data = wrkdrysum, aes(x = treatment, y = m, fill = treatment, pattern = treatment)) +
  geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0, 0.4),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) +
   coord_cartesian(ylim = c(0, 0.07)) +
  geom_errorbar(aes(ymin = m - se, ymax = m + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Worker Dry Weight (g)") +
  annotate(
    geom = "text",
    x = c(1, 2, 3, 4),
    y = wrkdrysum$m + wrkdrysum$se + 0.01,  # Adjust the y-position as needed
    label = c("a", "a", "b", "ab"),
    size = 8
  ) +
  theme_classic(base_size = 20) +
  annotate(
    geom = "text",
    x = 4,
    y = 0.07,
    label = "P = 0.05",
    size = 7
  ) +
  scale_fill_manual(values = c("lightgreen", "lightblue", "grey", "lightblue")) +
  scale_pattern_manual(values = c("none", "none", "none", "stripe")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none")
```


# First Oviposition 

```{r}
duration$fungicide <- as.logical(duration$fungicide)
duration$crithidia <- as.logical(duration$crithidia)

ov <- glm.nb(days_first_ov ~ fungicide*crithidia + avg.pol + workers_alive + block, data = duration)
drop1(ov, test = "Chisq")

ov <- glm.nb(days_first_ov ~ fungicide + crithidia + avg.pol + workers_alive + block, data = duration)
drop1(ov, test = "Chisq")
ov1 <- update(ov, .~. -block)
drop1(ov1, test = "Chisq")
ov2 <- update(ov1, .~. -workers_alive)
drop1(ov2, test = "Chisq")
Anova(ov2)
summary(ov2)

plot(duration$treatment, duration$days_first_ov)


```


# Brood cells

```{r}

brood$fungicide <- as.logical(brood$fungicide)
brood$crithidia <- as.logical(brood$crithidia)

plot(brood$treatment, brood$brood_cells)

brood.mod <- glm.nb(brood_cells ~ fungicide*crithidia + block + workers_alive + duration + avg_pollen, data = brood)
Anova(brood.mod)
drop1(brood.mod, test = "Chisq")


brood.mod <- glm.nb(brood_cells ~ fungicide + crithidia + block + workers_alive + duration, data = brood)
Anova(brood.mod)
drop1(brood.mod, test = "Chisq")
bm1 <- update(brood.mod, .~. -duration)
drop1(bm1, test = "Chisq")
summary(bm1)
bm2 <- update(bm1, .~. -crithidia)
drop1(bm2, test = "Chisq")
Anova(bm1)

qqnorm(resid(bm1));qqline(resid(bm1))


broodem <- emmeans(bm1, pairwise ~ crithidia, type = "response")

broodcld <-  cld(object = broodem,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
broodcld

brood_sum <- brood %>%
  group_by(treatment) %>%
  summarise(mb = mean(brood_cells),
            nb = length(brood_cells), 
            sdb = sd(brood_cells)) %>%
  mutate(seb = (sdb/sqrt(nb)))

brood_sum

brood_sum$plot <- brood_sum$mb + brood_sum$seb

plot(brood$treatment, brood$brood_cells)


```

```{r, fig.width= 12, fig.height=9}

ggplot(data = brood_sum, aes(x = treatment, y = mb, fill = treatment, pattern = treatment)) +
  geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0, 0.4),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) +
   coord_cartesian(ylim = c(0, 42)) +
  geom_errorbar(aes(ymin = mb - seb, ymax = mb + seb), width = 0.2, position = position_dodge(0.9)) +
 labs(x = "Treatment", y = "Average Brood Cells") +
  theme_classic(base_size = 20) +
  annotate(
    geom = "text",
    x = 1,
    y = 41,
    label = "P > 0.05",
    size = 7
  ) +
  scale_fill_manual(values = c("lightgreen", "lightblue", "grey", "lightblue")) +
  scale_pattern_manual(values = c("none", "none", "none", "stripe")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none")
```


 #live Pupae
```{r}

plot(brood$treatment, brood$live_pupae)

livepup.mod.int <- glm(live_pupae ~ fungicide*crithidia + workers_alive + block + duration + avg_pollen, data = brood, family = "poisson")
drop1(livepup.mod.int, test = "Chisq")


livepup.mod <- glm.nb(live_pupae ~ fungicide*crithidia + workers_alive + block + duration + avg_pollen, data = brood)
Anova(livepup.mod)
drop1(livepup.mod, test = "Chisq")

livepup.mod <- glm(live_pupae ~ fungicide + crithidia ++ workers_alive + block + duration + avg_pollen, data = brood, family = "poisson")
livepup.mod.nb <- glm.nb(live_pupae ~ fungicide + crithidia + + workers_alive + block + duration + avg_pollen, data = brood)
summary(livepup.mod)
qqnorm(resid(livepup.mod));qqline(resid(livepup.mod))
plot(livepup.mod)

AIC(livepup.mod, livepup.mod.nb)

anova(livepup.mod, livepup.mod.nb, test = "Chisq")

drop1(livepup.mod, test = "Chisq")
lp1 <- update(livepup.mod, .~. -block)
drop1(lp1, test = "Chisq")

summary(lp1)
Anova(lp1)

qqnorm(resid(lp1));qqline(resid(lp1))

anova(livepup.mod, lp1, test = "Chisq")
AIC(livepup.mod, lp1)

be <- emmeans(lp1, "crithidia")
pairs(be)

broodem <- emmeans(lp1, pairwise ~ crithidia, type = "response")

broodcld <-  cld(object = broodem,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
broodcld

livepup_sum <- brood %>%
  group_by(treatment) %>%
  summarise(mb = mean(live_pupae),
            nb = length(live_pupae), 
            sdb = sd(live_pupae)) %>%
  mutate(seb = (sdb/sqrt(nb)))

livepup_sum

livepup_sum$plot <- livepup_sum$mb + livepup_sum$seb

plot(brood$treatment, brood$live_pupae)

```


```{r, fig.width= 12, fig.height=8}

ggplot(data = livepup_sum, aes(x = treatment, y = mb, fill = treatment, pattern = treatment)) +
  geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0, 0.4),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) +
   coord_cartesian(ylim = c(0, 13)) +
  geom_errorbar(aes(ymin = mb - seb, ymax = mb + seb), width = 0.2, position = position_dodge(0.9)) +
 labs(x = "Treatment", y = "Average Live Pupae") +
  theme_classic(base_size = 20) +
  annotate(
    geom = "text",
    x = 1,
    y = 12.5,
    label = "P > 0.05",
    size = 7
  ) +
  scale_fill_manual(values = c("lightgreen", "lightblue", "grey", "lightblue")) +
  scale_pattern_manual(values = c("none", "none", "none", "stripe")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none")
```


```{r}
plot(brood$treatment, brood$live_larvae)

livelar.mod <- glm(live_larvae ~ fungicide + crithidia + workers_alive + block + duration + avg_pollen, data = brood, family = "poisson")
summary(livelar.mod) #overdisp
livelar.mod.int <- glm(live_larvae ~ fungicide*crithidia + workers_alive + block + duration + avg_pollen, data = brood, family = "poisson")
summary(livelar.mod.int) #overdisp


livelar.mod.nb.int <- glm.nb(live_larvae ~ fungicide*crithidia + workers_alive + block + duration + avg_pollen, data = brood)
summary(livelar.mod.nb.int)
livelar.mod.nb <- glm.nb(live_larvae ~ fungicide + crithidia + workers_alive + block + duration + avg_pollen, data = brood)  #start with this one 
summary(livelar.mod.nb)


drop1(livelar.mod.nb.int, test = "Chisq")

drop1(livelar.mod.nb, test = "Chisq")
ll1 <- update(livelar.mod.nb, .~. -duration)
drop1(ll1, test = "Chisq")

summary(ll1)
Anova(ll1)

broodem <- emmeans(ll1, pairwise ~ crithidia, type = "response")

broodcld <-  cld(object = broodem,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
broodcld

livelarv_sum <- brood %>%
  group_by(treatment) %>%
  summarise(mb = mean(live_larvae),
            nb = length(live_larvae), 
            sdb = sd(live_larvae)) %>%
  mutate(seb = (sdb/sqrt(nb)))

livelarv_sum

livelarv_sum$plot <- livelarv_sum$mb + livelarv_sum$seb

plot(brood$treatment, brood$live_larvae)
```



```{r, fig.width= 12, fig.height=8}
ggplot(data = livelarv_sum, aes(x = treatment, y = mb, fill = treatment)) +
  geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0, 0.4),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) +
   coord_cartesian(ylim = c(0, 35)) +
  geom_errorbar(aes(ymin = mb - seb, ymax = mb + seb), width = 0.2, position = position_dodge(0.9)) +
 labs(x = "Treatment", y = "Average Live Pupae") +
  theme_classic(base_size = 20) +
  annotate(
    geom = "text",
    x = 1,
    y = 34,
    label = "P > 0.5",
    size = 7
  ) +
  scale_fill_manual(values = c("lightgreen", "lightblue", "grey", "lightblue")) +
  scale_pattern_manual(values = c("none", "none", "none", "stripe")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none")
```

# Dead larvae count 

```{r}

dl.mod <- glm.nb(dead_larvae ~ fungicide + crithidia + avg_pollen + workers_alive, data = brood)
drop1(dl.mod, test = "Chisq")
dl1 <- update(dl.mod, .~. -workers_alive)
drop1(dl1, test = "Chisq")

plot(brood$treatment, brood$dead_larvae)

Anova(dl1)

summary(dl1)

```


# dead pupae count

```{r}
dp.mod <- glm.nb(dead_pupae ~ fungicide + crithidia + avg_pollen + workers_alive, data = brood)
drop1(dp.mod, test = "Chisq")

Anova(dp.mod)
summary(dp.mod)

plot(brood$treatment, brood$dead_pupae)

Anova(dp.mod)

```

# total larvae count 

```{r}
tl.mod <- glm.nb(total_larvae ~ fungicide + crithidia + avg_pollen + workers_alive, data = brood)
drop1(tl.mod, test = "Chisq")
tl.mod1 <- update(tl.mod, .~. -workers_alive)
drop1(tl.mod1, test = "Chisq")

Anova(tl.mod1)
summary(tl.mod1)

plot(brood$treatment, brood$total_larvae)

```


# total pupae 

```{r}
tp.mod <- glm.nb(total_pupae ~ fungicide + crithidia + avg_pollen + workers_alive, data = brood)
drop1(tp.mod, test = "Chisq")

Anova(tp.mod)
summary(tp.mod)

plot(brood$treatment, brood$total_pupae)

```


# total egg count 

```{r}
egg.mod <- glm.nb(eggs ~ fungicide + crithidia + avg_pollen + workers_alive, data = brood)
drop1(egg.mod, test = "Chisq")
em1 <- update(egg.mod, .~. -avg_pollen)
drop1(em1, test = "Chisq")


Anova(em1)
summary(em1)

plot(brood$treatment, brood$eggs)
```

# total honey pot

```{r}
hp.mod <- glm.nb(honey_pots ~ fungicide + crithidia + avg_pollen + workers_alive, data = brood)
drop1(hp.mod, test = "Chisq")
hp1 <- update(hp.mod, .~. -workers_alive)
drop1(hp1, test = "Chisq")

anova(hp.mod, hp1)
Anova(hp.mod)
AIC(hp.mod, hp1)

Anova(hp1)
summary(hp1)

plot(brood$treatment, brood$honey_pots)
```


# total drone count 

```{r}
plot(brood$treatment, brood$drones)

dronecount.mod <- glm(total_drones ~ fungicide + crithidia + workers_alive + block + duration + avg_pollen, data = brood, family = "poisson")
summary(dronecount.mod) #not overdisp -> Start with this one 
dronecount.mod.nb <- glm.nb(total_drones ~ fungicide + crithidia + workers_alive + block + duration + avg_pollen, data = brood)
qqnorm(resid(dronecount.mod));qqline(resid(dronecount.mod))
qqnorm(resid(dronecount.mod.nb));qqline(resid(dronecount.mod.nb))

anova(dronecount.mod, dronecount.mod.nb, test = "Chisq")

AIC(dronecount.mod, dronecount.mod.nb)

dronecount.mod.int <- glm(total_drones ~ fungicide*crithidia + workers_alive + block + duration + avg_pollen, data = brood, family = "poisson")
summary(dronecount.mod.int)
drop1(dronecount.mod.int, test = "Chisq")
Anova(dronecount.mod.int)

plot(brood$treatment, brood$total_drones)


drop1(dronecount.mod, test = "Chisq")

dc1 <- update(dronecount.mod, .~. -workers_alive)
drop1(dc1, test = "Chisq")
summary(dc1)
Anova(dc1)

drones_sum <- brood %>%
  group_by(treatment) %>%
  summarise(mb = mean(total_drones),
            nb = length(total_drones), 
            sdb = sd(total_drones)) %>%
  mutate(seb = (sdb/sqrt(nb)))

drones_sum

drones_sum$plot <- drones_sum$mb + drones_sum$seb



```


```{r, fig.width= 12, fig.height= 8}
ggplot(data = drones_sum, aes(x = treatment, y = mb, fill = treatment)) +
  geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0, 0.4),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) +
   coord_cartesian(ylim = c(0, 17)) +
  geom_errorbar(aes(ymin = mb - seb, ymax = mb + seb), width = 0.2, position = position_dodge(0.9)) +
 labs(x = "Treatment", y = "Average Live Pupae") +
  annotate(
    geom = "text",
    x = c(1, 2, 3, 4),
    y = drones_sum$plot + 1,  # Adjust the y-position as needed
    label = c("a", "a", "a", "a"),
    size = 8
  ) +
  theme_classic(base_size = 20) +
  annotate(
    geom = "text",
    x = 1,
    y = 16,
    label = "P > 0.5",
    size = 7
  ) +
  scale_fill_manual(values = c("lightgreen", "lightblue", "grey", "lightblue")) +
  scale_pattern_manual(values = c("none", "none", "none", "stripe")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none")
```


### proportion larvae and pupae survival 


# proportion larvae

```{r}
plmod <- glm(cbind(live_larvae, dead_larvae) ~ fungicide + crithidia + avg_pollen + block + duration + workers_alive, data = brood, family = binomial("logit"))
Anova(plmod)
drop1(plmod, test = "Chisq")
plmod1 <- update(plmod, .~. -workers_alive)
drop1(plmod1, test = "Chisq")
plmod2 <- update(plmod1, .~. -avg_pollen)
drop1(plmod2, test = "Chisq")
Anova(plmod2)
summary(plmod2)
```


# proportion pupae 

```{r}

ppmod <- glm(cbind(live_pupae, dead_pupae) ~ fungicide + crithidia + avg_pollen + block + duration + workers_alive, data = brood, family = binomial("logit"))
Anova(ppmod)
drop1(ppmod, test = "Chisq")
ppmod1 <- update(ppmod, .~. -block)
drop1(ppmod1, test = "Chisq")
ppmod2 <- update(ppmod1, .~. -duration)
drop1(ppmod2, test = "Chisq")
ppmod3 <- update(ppmod2, .~. -avg_pollen)
drop1(ppmod3, test = "Chisq")

Anova(ppmod3)
summary(ppmod3)

```

# proportion larvae and pupae 

```{r}

brood$live.lp <- brood$live_larvae + brood$live_pupae
brood$dead.lp <- brood$dead_larvae + brood$dead_pupae


lp.mod <- glm(cbind(live.lp, dead.lp) ~ fungicide + crithidia + block + duration, data = brood, family = binomial("logit"))
drop1(lp.mod, test = "Chisq")

summary(lp.mod)
Anova(lp.mod)
```



# Drones health metric

### Dry Weight

```{r}

plot(drones$treatment, drones$dry_weight)

plot(drones_rf$treatment, drones_rf$dry_weight)

plot(brood$treatment, brood$drones)

shapiro.test(drones$dry_weight)
hist(drones$dry_weight)
range(drones$dry_weight)


dry <- lmer(dry_weight ~ fungicide + crithidia + workers_alive + block + emerge + (1|colony), data = drones)
drop1(dry, test = "Chisq")
dry1 <- update(dry, .~. -workers_alive)
drop1(dry1, test= "Chisq")
dry2 <- update(dry1, .~. -block)
drop1(dry2, test = "Chisq")

Anova(dry2)
summary(dry2)

sum_dry <- drones %>%
  group_by(treatment) %>%
  summarise(m = mean(dry_weight),
            sd = sd(dry_weight),
            n = length(dry_weight)) %>%
  mutate(se = sd/sqrt(n))

sum_dry

```



### Radial Cell 

```{r}

shapiro.test(drones$radial_cell)
hist(drones$radial_cell)
drones$log_rad <- log(drones$radial_cell)
shapiro.test(drones$log_rad)
hist(drones$log_rad)
drones$square <- drones$radial_cell^3
shapiro.test(drones$square)
drones$box_rad <- bcPower(drones$radial_cell, lambda = 3, gamma = 1)
shapiro.test(drones$box_rad)
hist(drones$box_rad)

plot(drones$treatment, drones$radial_cell)

plot(drones_rf$treatment, drones_rf$radial_cell)
drones_rf$square <-(drones_rf$radial_cell)^3
shapiro.test(drones_rf$square)

drones_rf$mm <- (drones_rf$radial_cell)/1000
range(drones_rf$mm)
shapiro.test(drones_rf$mm)

rad_mod <- lmer(square ~ fungicide + crithidia + workers_alive + block + mean.pollen + emerge +  (1|colony), data = drones_rf)
drop1(rad_mod, test = "Chisq")
rm1 <- update(rad_mod, .~. -block)
drop1(rm1, test = "Chisq")
rm2 <- update(rm1, .~. -mean.pollen)
drop1(rm2, test = "Chisq")
rm3 <- update(rm2, .~. -workers_alive)
drop1(rm3, test = "Chisq")
summary(rm3)
Anova(rm3)

qqnorm(resid(rad_mod));qqline(resid(rad_mod))
qqnorm(resid(rm1));qqline(resid(rm1))
qqnorm(resid(rm2));qqline(resid(rm2))
qqnorm(resid(rm3));qqline(resid(rm3))

Anova(rad_mod)


rem <- emmeans(rm3, pairwise ~ fungicide, type = "response")
rem

re <-  setDT(as.data.frame(rem$emmeans))
cont_radial <- setDT(as.data.frame(rem$contrasts))
rad.cld <- cld(object =rem,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)

rad.cld

sum_radial <- drones_rf %>%
  group_by(treatment) %>%
  summarise(m = mean(radial_cell),
            sd = sd(radial_cell),
            n = length(radial_cell)) %>%
  mutate(se = sd/sqrt(n))

sum_radial

sum_radial$plot <- sum_radial$m + sum_radial$se

sum_radial.mm <- drones_rf %>%
  group_by(treatment) %>%
  summarise(m = mean(mm),
            sd = sd(mm),
            n = length(mm)) %>%
  mutate(se = sd/sqrt(n))

sum_radial.mm

sum_radial.mm$plot <- sum_radial.mm$m + sum_radial.mm$se


```

```{r}
ggplot(sum_radial.mm, aes(x = treatment, y = m, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  scale_fill_viridis_d() +
  geom_errorbar(aes(ymin = m - se, ymax = m + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Radial Cell Length (mm)") +
   theme_classic(base_size = 20) +
    coord_cartesian(ylim=c(0,3)) +
  annotate(geom = "text", 
          x = 1, y = 3 ,
          label = "P > 0.05",
          size = 8) +
 theme(legend.position = "none",
 axis.text = element_text(size = 20),  # Set axis label font size
         axis.title = element_text(size = 20)) +  # Set axis title font size
     theme(text = element_text(size = 20))
```


### Relative Fat (original units g/um)

```{r}

shapiro.test(drones_rf$relative_fat)
hist(drones_rf$relative_fat)

plot(drones_rf$treatment, drones_rf$relative_fat)

plot(drones_rf$treatment, drones_rf$fat_content)

range(drones_rf$relative_fat)

drones_rf$log_ref <- log(drones_rf$relative_fat)
shapiro.test(drones_rf$log_ref)

drones_rf$box_rf <- bcPower(drones_rf$relative_fat, lambda = -5, gamma = 3)
shapiro.test(drones_rf$box_rf)
hist(drones_rf$box_rf)

rf_mod <- lmer(box_rf ~ fungicide + crithidia + block + mean.pollen + workers_alive + emerge + (1|colony), data = drones_rf)
drop1(rf_mod, test = "Chisq")
rf1 <- update(rf_mod, .~. -workers_alive)
drop1(rf1, test = "Chisq")
rf2 <- update(rf1, .~. -mean.pollen)
drop1(rf2, test = "Chisq")
rf3 <- update(rf2, .~. -block)
drop1(rf3, test = "Chisq")
rf4 <- update(rf3, .~. -fungicide)
drop1(rf4, test = "Chisq")

Anova(rf4)
Anova(rf3)
summary(rf3)

qqnorm(resid(rf4));qqline(resid(rf4))
qqnorm(resid(rf3));qqline(resid(rf3))
anova(rf3, rf4, test = "Chisq")

AIC(rf3, rf4)

rf_em <- emmeans(rf3, pairwise ~ crithidia, type = "response")
rf_e <- setDT(as.data.frame(rf_em$emmeans))
rf_ce <- setDT(as.data.frame(rf_em$contrasts))

rf_em
rf_e
rf_ce

drones_rf$rfgmm <- (drones_rf$relative_fat_original)*1000

rf_sum <- drones_rf %>%
  group_by(treatment) %>%
  summarise(m = mean(relative_fat_original),
            sd = sd(relative_fat_original),
            n = length(relative_fat_original)) %>%
  mutate(se = sd/sqrt(n))

rf_sum <- drones_rf %>%
  group_by(treatment) %>%
  summarise(m = mean(rfgmm),
            sd = sd(rfgmm),
            n = length(rfgmm)) %>%
  mutate(se = sd/sqrt(n))

rf_sum

rf_sum$plot <- rf_sum$m + rf_sum$se

```


```{r, fig.width=13, fig.height=15}
ggplot(rf_sum, aes(x = treatment, y = m, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0, 0.4),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) +
  scale_fill_viridis_d() +
  geom_errorbar(aes(ymin = m - se, ymax = m + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Relative Fat (g/mm)") +
   theme_classic(base_size = 20) +
    coord_cartesian(ylim=c(0, 0.0015)) +
  annotate(geom = "text", 
          x = 1, y = 0.05,
          label = "P = 0.05",
          size = 8) +
 theme(legend.position = "none",
 axis.text = element_text(size = 20),  # Set axis label font size
         axis.title = element_text(size = 20)) +  # Set axis title font size
     theme(text = element_text(size = 20)) +
  scale_fill_manual(values = c("lightgreen", "lightblue", "grey", "lightblue")) +
  scale_pattern_manual(values = c("none", "none", "none", "stripe")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none")
```


### Emerge days

```{r}
drones$fungicide <- as.logical(drones$fungicide)
drones$crithidia <- as.logical(drones$crithidia)

em.mod <- glm.nb(emerge ~ fungicide + crithidia + dry_weight + live_weight + workers_alive + mean.pollen, data = drones)
drop1(em.mod, test = "Chisq")

em.mod <- glm.nb(emerge ~ fungicide + crithidia + mean.pollen, data = drones)
summary(em.mod)
drop1(em.mod, test = "Chisq")
Anova(em.mod)

em_sum <- drones %>%
  group_by(treatment) %>%
  summarise(m = mean(emerge),
            sd = sd(emerge),
            n = length(emerge)) %>%
  mutate(se = sd/sqrt(n))

em_sum

em_sum$plot <- em_sum$m + em_sum$se

```

```{r, fig.width= 10, fig.height= 8}
ggplot(em_sum, aes(x = treatment, y = m, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  geom_col_pattern(
    aes(pattern = treatment),
    pattern_density = c(0, 0, 0, 0.4),  # Add density for the fourth column
    pattern_spacing = 0.03,
    position = position_dodge(0.9)
  ) +
  scale_fill_viridis_d() +
  geom_errorbar(aes(ymin = m - se, ymax = m + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Days") +
   theme_classic(base_size = 20) +
    coord_cartesian(ylim=c(30, 40)) +
  annotate(geom = "text", 
          x = 1, y = 0.05,
          label = "P = 0.05",
          size = 8) +
 theme(legend.position = "none",
 axis.text = element_text(size = 20),  # Set axis label font size
         axis.title = element_text(size = 20)) +  # Set axis title font size
     theme(text = element_text(size = 20)) +
  scale_fill_manual(values = c("lightgreen", "lightblue", "grey", "lightblue")) +
  scale_pattern_manual(values = c("none", "none", "none", "stripe")) +  # Add stripes to the fourth column
  scale_x_discrete(labels = custom_labels) +
   theme(legend.position = "none")

```


## qPCR

```{r}

p <- ggplot(qpcr, aes(x = days_since_innoculation, y = spores, color = colony)) +
  geom_point() + 
  geom_line(aes(group = bee_id), alpha = 0.5) +
  labs(title = "Spores per Bee Over Time",
       x = "Time",
       y = "Number of Spores",
       color = "Colony") +
  facet_wrap(~bee_id)

interactive_plot <- ggplotly(p)

interactive_plot

```

