pacman::p_load(dplyr, readxl, tidyverse, raster, vegan, tigris, sf, sp, plotly, ggrepel, kableExtra, brms, parameters, gt)

## Set seed
set.seed(97)

# Tree PCQ Data
tree_data <- read_excel("C:/Users/DrewIvory/OneDrive - University of Florida/Desktop/School/PHD/01_Projects/05_SharedData/Field_Data_FL_AL_MS.xlsx",
                        sheet = "Tree_PCQ")
tree_data <- tree_data %>%
  filter(Authority %in% c("BRSF", "WSF", "Jay"))

# Soil Data
fuel_data <- read_excel("C:/Users/DrewIvory/OneDrive - University of Florida/Desktop/School/PHD/01_Projects/05_SharedData/Field_Data_FL_AL_MS.xlsx",
                        sheet = "Fuel_Sampling")
fuel_data <- fuel_data %>%
  filter(Authority %in% c("BRSF", "WSF", "Jay"))

Seasonal_Fuel_Sampling <- read_excel("C:/Users/DrewIvory/OneDrive - University of Florida/Desktop/School/PHD/01_Projects/01_FuelDynamics/02_Data/02_Fuel_Data/Seasonal_Fuel_Sampling.xlsx",
                                     sheet = "Fuel_Data")
Seasonal_Fuel_Sampling <- Seasonal_Fuel_Sampling %>%
  filter(Authority %in% c("BRSF", "WSF", "Jay"))

# Seasonal Sampling Locations
Seasonal_Sampling_Locations <- read_excel("C:/Users/DrewIvory/OneDrive - University of Florida/Desktop/School/PHD/01_Projects/01_FuelDynamics/02_Data/02_Fuel_Data/Seasonal_Fuel_Sampling.xlsx",
                                          sheet = "Sites")
Seasonal_Sampling_Locations <- Seasonal_Sampling_Locations %>%
  filter(Authority %in% c("BRSF", "WSF", "Jay"))

# Bag Weights
bag_weights <- read_excel("C:/Users/DrewIvory/OneDrive - University of Florida/Desktop/School/PHD/01_Projects/01_FuelDynamics/02_Data/02_Fuel_Data/Seasonal_Fuel_Sampling.xlsx",
                                          sheet = "Bag_Avg")
## New names:
## • `` -> `...6`
## • `` -> `...7`
## • `` -> `...8`
## • `` -> `...9`
## • `` -> `...10`
## • `` -> `...11`
# Site Data
CogonSites <- read_excel("C:/Users/DrewIvory/OneDrive - University of Florida/Desktop/School/PHD/01_Projects/05_SharedData/CogonSites_FL_AL_MS.xlsx")
CogonSites <- CogonSites %>%
  filter(Authority %in% c("BRSF", "WSF", "Jay"))

# Only include Florida/Alabama Sites
CogonSites <- CogonSites[CogonSites$Authority != "CNF" & CogonSites$Authority != "DSNF", ]

Filter All data to only include specified species (Per PLANTS database)

Filter all data to only include species found at 3% of all sites

#Fuel Dynamics ## Combine seasonal fuel data

Net Weight Method

Live

Comb_Live_Data_Net <- Combined_Data_Net %>%
  mutate(
    Live_Bag = as.numeric(Live_Bag),
    Live_Weight_Post = as.numeric(Live_Weight_Post),
    Live_Weight_Initial = as.numeric(Live_Weight_Initial),
    Live_Height = as.numeric(Height),
    Net_Live = as.numeric(Net_Live),
    Status = as.character(Status)  # Status as a character
  )
## Warning: There was 1 warning in `mutate()`.
## ℹ In argument: `Live_Height = as.numeric(Height)`.
## Caused by warning:
## ! NAs introduced by coercion
Comb_Live_Data_Net <- Comb_Live_Data_Net %>%
  mutate(biomass = Net_Live)

Comb_Live_Data_Net <- Comb_Live_Data_Net %>%
  filter(biomass >= 0)

Comb_Live_Data_Net <- Comb_Live_Data_Net %>%
  mutate(relative_moisture_content = ifelse(biomass > bioT, ((Live_Weight_Initial - Live_Bag) - Net_Live) / Net_Live * 100, NA))

avg_live_values_Net <- Comb_Live_Data_Net %>%
  group_by(Plot, Season, Status) %>%
  summarize(avg_live_biomass = mean(biomass, na.rm = TRUE),
            avg_live_moisture_content = mean(relative_moisture_content, na.rm = TRUE),
            avg_soil_moisture = mean(Soil_Moisture, na.rm = TRUE),
            avg_height = mean(Live_Height, na.rm = TRUE) / 100,
            .groups = "drop")

Dead

Comb_Dead_Data_Net <- Combined_Data_Net %>%
  mutate(
    Dead_Bag = as.numeric(Dead_Bag),
    Dead_Weight_Post = as.numeric(Dead_Weight_Post),
    Dead_Weight_Initial = as.numeric(Dead_Weight_Initial),
    Net_Dead = as.numeric(Net_Dead),
    Status = as.character(Status)  # Status as a character
  )

Comb_Dead_Data_Net <- Comb_Dead_Data_Net %>%
  mutate(biomass = Net_Dead)

Comb_Dead_Data_Net <- Comb_Dead_Data_Net %>%
  filter(biomass >= 0)

Comb_Dead_Data_Net <- Comb_Dead_Data_Net %>%
  mutate(relative_moisture_content = ifelse(biomass > bioT, ((Dead_Weight_Initial - Dead_Bag) - Net_Dead) / Net_Dead * 100, NA))

avg_dead_values_Net <- Comb_Dead_Data_Net %>%
  group_by(Plot, Season, Status) %>%
  summarize(avg_dead_biomass = mean(biomass, na.rm = TRUE),
            avg_dead_moisture_content = mean(relative_moisture_content, na.rm = TRUE),
            avg_soil_moisture = mean(Soil_Moisture, na.rm = TRUE),
            .groups = "drop")

Litter

Comb_Litter_Data_Net <- Combined_Data_Net %>%
  mutate(
    Litter_Bag = as.numeric(Litter_Bag),
    Litter_Weight_Post = as.numeric(Litter_Weight_Post),
    Litter_Weight_Initial = as.numeric(Litter_Weight_Initial),
    Net_Litter = as.numeric(Net_Litter),
    Status = as.character(Status)  # Status as a character
  )

Comb_Litter_Data_Net <- Comb_Litter_Data_Net %>%
  mutate(biomass = Net_Litter)

Comb_Litter_Data_Net <- Comb_Litter_Data_Net %>%
  filter(biomass >= 0)

Comb_Litter_Data_Net <- Comb_Litter_Data_Net %>%
  mutate(relative_moisture_content = ifelse(biomass > bioT, ((Litter_Weight_Initial - Litter_Bag) - Net_Litter) / Net_Litter * 100, NA))

avg_litter_values_Net <- Comb_Litter_Data_Net %>%
  group_by(Plot, Season, Status) %>%
  summarize(avg_litter_biomass = mean(biomass, na.rm = TRUE),
            avg_litter_moisture_content = mean(relative_moisture_content, na.rm = TRUE),
            avg_soil_moisture = mean(Soil_Moisture, na.rm = TRUE),
            .groups = "drop")

Average Bag Weight Method

Live

Comb_Live_Data_Avg <- Combined_Data_Avg %>%
  mutate(
    Live_Bag = as.numeric(Live_Bag),
    Live_Weight_Post = as.numeric(Live_Weight_Post),
    Live_Weight_Initial = as.numeric(Live_Weight_Initial),
    Live_Height = as.numeric(Height),
    Dry_LiveBag = as.numeric(Dry_LiveBag),
    Status = as.character(Status)  # Status as a character
  )
## Warning: There were 2 warnings in `mutate()`.
## The first warning was:
## ℹ In argument: `Live_Height = as.numeric(Height)`.
## Caused by warning:
## ! NAs introduced by coercion
## ℹ Run `dplyr::last_dplyr_warnings()` to see the 1 remaining warning.
Comb_Live_Data_Avg <- Comb_Live_Data_Avg %>%
  mutate(biomass = Live_Weight_Post - Dry_LiveBag)

Comb_Live_Data_Avg <- Comb_Live_Data_Avg %>%
  filter(biomass >= 0)

Comb_Live_Data_Avg <- Comb_Live_Data_Avg %>%
  mutate(relative_moisture_content = ifelse(biomass > bioT, (Live_Weight_Initial - Live_Weight_Post) / biomass * 100, NA))

avg_live_values_Avg <- Comb_Live_Data_Avg %>%
  group_by(Plot, Season, Status) %>%
  summarize(avg_live_biomass = mean(biomass, na.rm = TRUE),
            avg_live_moisture_content = mean(relative_moisture_content, na.rm = TRUE),
            avg_soil_moisture = mean(Soil_Moisture, na.rm = TRUE),
            avg_height = mean(Live_Height, na.rm = TRUE) / 100,
            .groups = "drop")

Dead

Comb_Dead_Data_Avg <- Combined_Data_Avg %>%
  mutate(
    Dead_Bag = as.numeric(Dead_Bag),
    Dead_Weight_Post = as.numeric(Dead_Weight_Post),
    Dead_Weight_Initial = as.numeric(Dead_Weight_Initial),
    Dry_DeadBag = as.numeric(Dry_DeadBag),
    Status = as.character(Status)  # Status as a character
  )
## Warning: There was 1 warning in `mutate()`.
## ℹ In argument: `Dry_DeadBag = as.numeric(Dry_DeadBag)`.
## Caused by warning:
## ! NAs introduced by coercion
Comb_Dead_Data_Avg <- Comb_Dead_Data_Avg %>%
  mutate(biomass = Dead_Weight_Post - Dry_DeadBag)

Comb_Dead_Data_Avg <- Comb_Dead_Data_Avg %>%
  filter(biomass >= 0)

Comb_Dead_Data_Avg <- Comb_Dead_Data_Avg %>%
  mutate(relative_moisture_content = ifelse(biomass > bioT, (Dead_Weight_Initial - Dead_Weight_Post) / biomass * 100, NA))

avg_dead_values_Avg <- Comb_Dead_Data_Avg %>%
  group_by(Plot, Season, Status) %>%
  summarize(avg_dead_biomass = mean(biomass, na.rm = TRUE),
            avg_dead_moisture_content = mean(relative_moisture_content, na.rm = TRUE),
            avg_soil_moisture = mean(Soil_Moisture, na.rm = TRUE),
            .groups = "drop")

Litter

Comb_Litter_Data_Avg <- Combined_Data_Avg %>%
  mutate(
    Litter_Bag = as.numeric(Litter_Bag),
    Litter_Weight_Post = as.numeric(Litter_Weight_Post),
    Litter_Weight_Initial = as.numeric(Litter_Weight_Initial),
    Dry_LitterBag = as.numeric(Dry_LitterBag),
    Status = as.character(Status)  # Status as a character
  )
## Warning: There was 1 warning in `mutate()`.
## ℹ In argument: `Dry_LitterBag = as.numeric(Dry_LitterBag)`.
## Caused by warning:
## ! NAs introduced by coercion
Comb_Litter_Data_Avg <- Comb_Litter_Data_Avg %>%
  mutate(biomass = Litter_Weight_Post - Dry_LitterBag)

Comb_Litter_Data_Avg <- Comb_Litter_Data_Avg %>%
  filter(biomass >= 0)

Comb_Litter_Data_Avg <- Comb_Litter_Data_Avg %>%
  mutate(relative_moisture_content = ifelse(biomass > bioT, (Litter_Weight_Initial - Litter_Weight_Post) / biomass * 100, NA))

avg_litter_values_Avg <- Comb_Litter_Data_Avg %>%
  group_by(Plot, Season, Status) %>%
  summarize(avg_litter_biomass = mean(biomass, na.rm = TRUE),
            avg_litter_moisture_content = mean(relative_moisture_content, na.rm = TRUE),
            avg_soil_moisture = mean(Soil_Moisture, na.rm = TRUE),
            .groups = "drop")

Fill in gaps within Net method with Avg method.

# Live
avg_live_values_Combined <- avg_live_values_Net %>%
  full_join(avg_live_values_Avg, by = "Plot", suffix = c("_Net", "_Avg")) %>%
  mutate(
    avg_live_biomass = coalesce(avg_live_biomass_Net, avg_live_biomass_Avg),
    avg_live_moisture_content = coalesce(avg_live_moisture_content_Net, avg_live_moisture_content_Avg),
    avg_soil_moisture = coalesce(avg_soil_moisture_Net, avg_soil_moisture_Avg),
    avg_height = coalesce(avg_height_Net, avg_height_Avg),
    Season = coalesce(Season_Net, Season_Avg),
    Status = coalesce(Status_Net, Status_Avg)
  ) %>%
  select(Plot, Season, Status, avg_live_biomass, avg_live_moisture_content, avg_soil_moisture, avg_height)

# Dead
avg_dead_values_Combined <- avg_dead_values_Net %>%
  full_join(avg_dead_values_Avg, by = "Plot", suffix = c("_Net", "_Avg")) %>%
  mutate(
    avg_dead_biomass = coalesce(avg_dead_biomass_Net, avg_dead_biomass_Avg),
    avg_dead_moisture_content = coalesce(avg_dead_moisture_content_Net, avg_dead_moisture_content_Avg),
    avg_soil_moisture = coalesce(avg_soil_moisture_Net, avg_soil_moisture_Avg),
    Season = coalesce(Season_Net, Season_Avg),
    Status = coalesce(Status_Net, Status_Avg)
  ) %>%
  select(Plot, Season, Status, avg_dead_biomass, avg_dead_moisture_content, avg_soil_moisture)

# Litter
avg_litter_values_Combined <- avg_litter_values_Net %>%
  full_join(avg_litter_values_Avg, by = "Plot", suffix = c("_Net", "_Avg")) %>%
  mutate(
    avg_litter_biomass = coalesce(avg_litter_biomass_Net, avg_litter_biomass_Avg),
    avg_litter_moisture_content = coalesce(avg_litter_moisture_content_Net, avg_litter_moisture_content_Avg),
    avg_soil_moisture = coalesce(avg_soil_moisture_Net, avg_soil_moisture_Avg),
    Season = coalesce(Season_Net, Season_Avg),
    Status = coalesce(Status_Net, Status_Avg)
  ) %>%
  select(Plot, Season, Status, avg_litter_biomass, avg_litter_moisture_content, avg_soil_moisture)

Combine summer sampling (CogonSites) locations with winter sampling locations

Merge avg_live_values, avg_dead_values, and avg_litter_values

Average Fuel Values by Invasion Status and Season

There are 10,000 square meters in a hectare. Biomass is from 25 cm by 25 cm quadrats, so we have 0.0625 square meters. Therefore, 10,000/0.0625 = 160,000. So biomass gets multiplied by 160,000 and divided by 1,000,000 to convert from grams to tonnes.

25th, 50th and 75 quantiles of fuel values

Fuel_model_quantiles <- avg_fuel_values %>%
  group_by(Status, Season) %>%
  summarize(avg_live_biomass_25 = quantile(avg_live_biomass, 0.25, na.rm = TRUE) * 0.16,
            avg_live_biomass_50 = quantile(avg_live_biomass, 0.50, na.rm = TRUE) * 0.16,
            avg_live_biomass_75 = quantile(avg_live_biomass, 0.75, na.rm = TRUE) * 0.16,
            avg_dead_biomass_25 = quantile(avg_dead_biomass, 0.25, na.rm = TRUE) * 0.16,
            avg_dead_biomass_50 = quantile(avg_dead_biomass, 0.50, na.rm = TRUE) * 0.16,
            avg_dead_biomass_75 = quantile(avg_dead_biomass, 0.75, na.rm = TRUE) * 0.16,
            avg_litter_biomass_25 = quantile(avg_litter_biomass, 0.25, na.rm = TRUE) * 0.16,
            avg_litter_biomass_50 = quantile(avg_litter_biomass, 0.50, na.rm = TRUE) * 0.16,
            avg_litter_biomass_75 = quantile(avg_litter_biomass, 0.75, na.rm = TRUE) * 0.16,
            avg_live_moisture_content_25 = quantile(avg_live_moisture_content, 0.25, na.rm = TRUE),
            avg_live_moisture_content_50 = quantile(avg_live_moisture_content, 0.50, na.rm = TRUE),
            avg_live_moisture_content_75 = quantile(avg_live_moisture_content, 0.75, na.rm = TRUE),
            avg_dead_moisture_content_25 = quantile(avg_dead_moisture_content, 0.25, na.rm = TRUE),
            avg_dead_moisture_content_50 = quantile(avg_dead_moisture_content, 0.50, na.rm = TRUE),
            avg_dead_moisture_content_75 = quantile(avg_dead_moisture_content, 0.75, na.rm = TRUE),
            avg_litter_moisture_content_25 = quantile(avg_litter_moisture_content, 0.25, na.rm = TRUE),
            avg_litter_moisture_content_50 = quantile(avg_litter_moisture_content, 0.50, na.rm = TRUE),
            avg_litter_moisture_content_75 = quantile(avg_litter_moisture_content, 0.75, na.rm = TRUE),
            avg_soil_moisture_25 = quantile(avg_soil_moisture, 0.25, na.rm = TRUE),
            avg_soil_moisture_50 = quantile(avg_soil_moisture, 0.50, na.rm = TRUE),
            avg_soil_moisture_75 = quantile(avg_soil_moisture, 0.75, na.rm = TRUE),
            avg_height_25 = quantile(avg_height, 0.25, na.rm = TRUE),
            avg_height_50 = quantile(avg_height, 0.50, na.rm = TRUE),
            avg_height_75 = quantile(avg_height, 0.75, na.rm = TRUE),
            .groups = "drop")

# Kable table of quantiles
kable(Fuel_model_quantiles)
Status Season avg_live_biomass_25 avg_live_biomass_50 avg_live_biomass_75 avg_dead_biomass_25 avg_dead_biomass_50 avg_dead_biomass_75 avg_litter_biomass_25 avg_litter_biomass_50 avg_litter_biomass_75 avg_live_moisture_content_25 avg_live_moisture_content_50 avg_live_moisture_content_75 avg_dead_moisture_content_25 avg_dead_moisture_content_50 avg_dead_moisture_content_75 avg_litter_moisture_content_25 avg_litter_moisture_content_50 avg_litter_moisture_content_75 avg_soil_moisture_25 avg_soil_moisture_50 avg_soil_moisture_75 avg_height_25 avg_height_50 avg_height_75
Invaded Green_Up 1.1562667 2.1616000 3.4720000 1.8922667 2.4192000 3.108267 3.486400 4.974400 9.215467 54.66557 117.06158 133.0470 9.195465 10.39843 16.57708 9.487179 11.44906 14.92138 4.833333 5.766667 7.10000 0.5600000 0.7533333 0.9500000
Invaded Summer 1.7720000 2.4472000 3.7221333 1.2645333 2.3952000 4.480933 2.325600 4.085333 6.754400 133.21727 147.42139 168.2493 13.454489 18.01118 27.29767 11.681481 21.20772 35.50451 6.316667 10.900000 12.95833 0.6633333 0.8050000 1.0100000
Invaded Winter 0.9458667 1.4976000 2.4898667 1.9476000 3.4101333 6.198267 3.023867 5.620267 7.916800 95.76815 119.49396 151.1411 13.788625 19.72430 36.73561 15.979345 27.86209 47.96388 5.933333 10.916667 13.89167 0.7116667 0.8500000 0.9733333
Non_Invaded Green_Up 0.3685333 0.5088000 0.7546667 0.3370667 0.7482667 1.361600 3.924267 6.187200 8.342933 51.67528 80.33146 146.1973 9.750584 15.46700 17.59368 7.290356 12.30107 17.27920 3.066667 4.033333 9.30000 0.2333333 0.3333333 0.4366667
Non_Invaded Summer 0.2821333 0.5946667 1.0218667 0.1384000 0.3152000 0.896000 3.992200 6.060000 7.308933 133.27391 163.91720 191.7656 8.801051 15.42178 29.73250 10.007541 21.21443 47.66848 3.741667 5.500000 11.65833 0.1533333 0.2366667 0.3366667
Non_Invaded Winter 0.2112000 0.2728000 0.5125333 0.3168000 0.7242667 1.806667 4.612133 6.603733 9.257733 30.64949 85.18529 184.4349 11.679660 16.25337 49.32975 15.910721 42.65335 56.80946 6.233333 9.566667 12.37500 0.1116667 0.2366667 0.3583333

Fuel Table

Fuel and Moisture Quantiles by Invasion Status and Season
Variable Invaded - Spring Invaded - Summer Invaded - Winter Non Invaded - Spring Non Invaded - Summer Non Invaded - Winter
Live Biomass (25%) 1.16 1.77 0.95 0.37 0.28 0.21
Live Biomass (50%) 2.16 2.45 1.50 0.51 0.59 0.27
Live Biomass (75%) 3.47 3.72 2.49 0.75 1.02 0.51
Dead Biomass (25%) 1.89 1.26 1.95 0.34 0.14 0.32
Dead Biomass (50%) 2.42 2.40 3.41 0.75 0.32 0.72
Dead Biomass (75%) 3.11 4.48 6.20 1.36 0.90 1.81
Litter Biomass (25%) 3.49 2.33 3.02 3.92 3.99 4.61
Litter Biomass (50%) 4.97 4.09 5.62 6.19 6.06 6.60
Litter Biomass (75%) 9.22 6.75 7.92 8.34 7.31 9.26
Live Moisture Content (25%) 54.67 133.22 95.77 51.68 133.27 30.65
Live Moisture Content (50%) 117.06 147.42 119.49 80.33 163.92 85.19
Live Moisture Content (75%) 133.05 168.25 151.14 146.20 191.77 184.43
Dead Moisture Content (25%) 9.20 13.45 13.79 9.75 8.80 11.68
Dead Moisture Content (50%) 10.40 18.01 19.72 15.47 15.42 16.25
Dead Moisture Content (75%) 16.58 27.30 36.74 17.59 29.73 49.33
Litter Moisture Content (25%) 9.49 11.68 15.98 7.29 10.01 15.91
Litter Moisture Content (50%) 11.45 21.21 27.86 12.30 21.21 42.65
Litter Moisture Content (75%) 14.92 35.50 47.96 17.28 47.67 56.81
Soil Moisture (25%) 4.83 6.32 5.93 3.07 3.74 6.23
Soil Moisture (50%) 5.77 10.90 10.92 4.03 5.50 9.57
Soil Moisture (75%) 7.10 12.96 13.89 9.30 11.66 12.38
Height (25%) 0.56 0.66 0.71 0.23 0.15 0.11
Height (50%) 0.75 0.80 0.85 0.33 0.24 0.24
Height (75%) 0.95 1.01 0.97 0.44 0.34 0.36
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## 
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##   margin: 0px;
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## </style>
##   <table class="gt_table" data-quarto-disable-processing="false" data-quarto-bootstrap="false">
##   <thead>
##     <tr class="gt_heading">
##       <td colspan="7" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Fuel and Moisture Quantiles by Invasion Status and Season</td>
##     </tr>
##     
##     <tr class="gt_col_headings">
##       <th class="gt_col_heading gt_columns_bottom_border gt_left" rowspan="1" colspan="1" scope="col" id="Variable">Variable</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Invaded---Spring">Invaded - Spring</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Invaded---Summer">Invaded - Summer</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Invaded---Winter">Invaded - Winter</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Non_Invaded---Spring">Non Invaded - Spring</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Non_Invaded---Summer">Non Invaded - Summer</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Non_Invaded---Winter">Non Invaded - Winter</th>
##     </tr>
##   </thead>
##   <tbody class="gt_table_body">
##     <tr><td headers="Variable" class="gt_row gt_left">Live Biomass (25%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">1.16</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">1.77</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">0.95</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">0.37</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">0.28</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">0.21</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Live Biomass (50%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">2.16</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">2.45</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">1.50</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">0.51</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">0.59</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">0.27</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Live Biomass (75%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">3.47</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">3.72</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">2.49</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">0.75</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">1.02</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">0.51</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Dead Biomass (25%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">1.89</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">1.26</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">1.95</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">0.34</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">0.14</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">0.32</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Dead Biomass (50%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">2.42</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">2.40</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">3.41</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">0.75</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">0.32</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">0.72</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Dead Biomass (75%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">3.11</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">4.48</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">6.20</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">1.36</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">0.90</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">1.81</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Litter Biomass (25%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">3.49</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">2.33</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">3.02</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">3.92</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">3.99</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">4.61</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Litter Biomass (50%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">4.97</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">4.09</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">5.62</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">6.19</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">6.06</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">6.60</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Litter Biomass (75%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">9.22</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">6.75</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">7.92</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">8.34</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">7.31</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">9.26</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Live Moisture Content (25%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">54.67</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">133.22</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">95.77</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">51.68</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">133.27</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">30.65</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Live Moisture Content (50%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">117.06</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">147.42</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">119.49</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">80.33</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">163.92</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">85.19</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Live Moisture Content (75%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">133.05</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">168.25</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">151.14</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">146.20</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">191.77</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">184.43</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Dead Moisture Content (25%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">9.20</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">13.45</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">13.79</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">9.75</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">8.80</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">11.68</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Dead Moisture Content (50%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">10.40</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">18.01</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">19.72</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">15.47</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">15.42</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">16.25</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Dead Moisture Content (75%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">16.58</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">27.30</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">36.74</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">17.59</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">29.73</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">49.33</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Litter Moisture Content (25%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">9.49</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">11.68</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">15.98</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">7.29</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">10.01</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">15.91</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Litter Moisture Content (50%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">11.45</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">21.21</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">27.86</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">12.30</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">21.21</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">42.65</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Litter Moisture Content (75%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">14.92</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">35.50</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">47.96</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">17.28</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">47.67</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">56.81</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Soil Moisture (25%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">4.83</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">6.32</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">5.93</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">3.07</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">3.74</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">6.23</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Soil Moisture (50%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">5.77</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">10.90</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">10.92</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">4.03</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">5.50</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">9.57</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Soil Moisture (75%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">7.10</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">12.96</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">13.89</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">9.30</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">11.66</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">12.38</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Height (25%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">0.56</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">0.66</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">0.71</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">0.23</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">0.15</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">0.11</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Height (50%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">0.75</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">0.80</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">0.85</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">0.33</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">0.24</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">0.24</td></tr>
##     <tr><td headers="Variable" class="gt_row gt_left">Height (75%)</td>
## <td headers="Invaded - Spring" class="gt_row gt_right">0.95</td>
## <td headers="Invaded - Summer" class="gt_row gt_right">1.01</td>
## <td headers="Invaded - Winter" class="gt_row gt_right">0.97</td>
## <td headers="Non_Invaded - Spring" class="gt_row gt_right">0.44</td>
## <td headers="Non_Invaded - Summer" class="gt_row gt_right">0.34</td>
## <td headers="Non_Invaded - Winter" class="gt_row gt_right">0.36</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Objective 1- Cogongrass relationship with fuel dynamics

Data Cleaning

GLMM Live Fuel Biomass

Model Comparison

## Warning: Found 1 observations with a pareto_k > 0.7 in model
## 'LV_Bio_model_student'. We recommend to set 'moment_match = TRUE' in order to
## perform moment matching for problematic observations.
## Warning: There were 15 divergent transitions after warmup. Increasing
## adapt_delta above 0.8 may help. See
## http://mc-stan.org/misc/warnings.html#divergent-transitions-after-warmup
##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: avg_live_biomass ~ Status * Season + Status * Region + (1 | Plot) 
##    Data: merged_sites (Number of observations: 183) 
##   Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
##          total post-warmup draws = 4000
## 
## Multilevel Hyperparameters:
## ~Plot (Number of levels: 183) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     0.19      0.14     0.01     0.52 1.03      125       34
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                      0.64      0.12     0.41     0.89 1.00     1690
## StatusInvaded                  1.36      0.20     0.98     1.76 1.00     1048
## SeasonSpring                  -0.04      0.18    -0.38     0.32 1.01      673
## SeasonWinter                  -0.19      0.17    -0.52     0.15 1.01      456
## RegionCF                      -0.05      0.14    -0.32     0.23 1.01     1317
## StatusInvaded:SeasonSpring    -0.67      0.31    -1.24    -0.04 1.00     1450
## StatusInvaded:SeasonWinter    -0.91      0.29    -1.46    -0.33 1.00     1364
## StatusInvaded:RegionCF         1.21      0.26     0.70     1.72 1.01      892
##                            Tail_ESS
## Intercept                      1773
## StatusInvaded                   975
## SeasonSpring                    776
## SeasonWinter                    523
## RegionCF                       1611
## StatusInvaded:SeasonSpring     2365
## StatusInvaded:SeasonWinter     2394
## StatusInvaded:RegionCF         1616
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     0.58      0.09     0.36     0.76 1.03      125       34
## nu        2.48      0.74     1.44     4.28 1.01      278      176
## 
## Draws were sampled using sampling(NUTS). For each parameter, Bulk_ESS
## and Tail_ESS are effective sample size measures, and Rhat is the potential
## scale reduction factor on split chains (at convergence, Rhat = 1).
## Using 10 posterior draws for ppc type 'dens_overlay' by default.

## Warning: Removed 3 rows containing non-finite outside the scale range
## (`stat_boxplot()`).
## Warning: Removed 3 rows containing missing values or values outside the scale range
## (`geom_point()`).

Live Biomass Summary Table

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##   <thead>
##     <tr class="gt_heading">
##       <td colspan="7" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Live Biomass</td>
##     </tr>
##     
##     <tr class="gt_col_headings">
##       <th class="gt_col_heading gt_columns_bottom_border gt_left" rowspan="1" colspan="1" scope="col" id="a::stub"></th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Estimate">Estimate</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Est.-Error">Est. Error</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Lower)">95% CI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Upper)">95% CI (Upper)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Rhat">Rhat</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="ESS">ESS</th>
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##   <tbody class="gt_table_body">
##     <tr><th id="stub_1_1" scope="row" class="gt_row gt_left gt_stub">(Intercept)</th>
## <td headers="stub_1_1 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.64</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.12</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.41</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.89</td>
## <td headers="stub_1_1 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.000700</td>
## <td headers="stub_1_1 ESS" class="gt_row gt_right" style="font-weight: bold;">1670.6209</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_left gt_stub">StatusInvaded</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right" style="font-weight: bold;">1.35</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.20</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.98</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">1.76</td>
## <td headers="stub_1_2 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.001328</td>
## <td headers="stub_1_2 ESS" class="gt_row gt_right" style="font-weight: bold;">983.8020</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_left gt_stub">SeasonSpring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right">−0.05</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right">0.18</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right">−0.38</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right">0.32</td>
## <td headers="stub_1_3 Rhat" class="gt_row gt_right">1.005222</td>
## <td headers="stub_1_3 ESS" class="gt_row gt_right">692.0784</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_left gt_stub">SeasonWinter</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right">−0.19</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right">0.17</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right">−0.52</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right">0.15</td>
## <td headers="stub_1_4 Rhat" class="gt_row gt_right">1.009727</td>
## <td headers="stub_1_4 ESS" class="gt_row gt_right">492.7392</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">RegionCF</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">−0.05</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">0.14</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−0.32</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">0.23</td>
## <td headers="stub_1_5 Rhat" class="gt_row gt_right">1.006246</td>
## <td headers="stub_1_5 ESS" class="gt_row gt_right">1221.8110</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:SeasonSpring</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right" style="font-weight: bold;">−0.68</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.30</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−1.24</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−0.04</td>
## <td headers="stub_1_6 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.000005</td>
## <td headers="stub_1_6 ESS" class="gt_row gt_right" style="font-weight: bold;">1394.2063</td></tr>
##     <tr><th id="stub_1_7" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:SeasonWinter</th>
## <td headers="stub_1_7 Estimate" class="gt_row gt_right" style="font-weight: bold;">−0.91</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.30</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−1.46</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−0.33</td>
## <td headers="stub_1_7 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.003474</td>
## <td headers="stub_1_7 ESS" class="gt_row gt_right" style="font-weight: bold;">1382.5433</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:RegionCF</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right" style="font-weight: bold;">1.21</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.26</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.70</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">1.72</td>
## <td headers="stub_1_8 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.007264</td>
## <td headers="stub_1_8 ESS" class="gt_row gt_right" style="font-weight: bold;">874.8907</td></tr>
##     <tr><th id="stub_1_9" scope="row" class="gt_row gt_left gt_stub">sigma</th>
## <td headers="stub_1_9 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.58</td>
## <td headers="stub_1_9 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.09</td>
## <td headers="stub_1_9 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.36</td>
## <td headers="stub_1_9 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.76</td>
## <td headers="stub_1_9 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.030768</td>
## <td headers="stub_1_9 ESS" class="gt_row gt_right" style="font-weight: bold;">124.8930</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Conditional Effects Live Biomass

## Warning: The `size` argument of `element_line()` is deprecated as of ggplot2 3.4.0.
## ℹ Please use the `linewidth` argument instead.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

Conditional Effects Live Biomass

GLMM Dead Fuel Biomass

Model Comparison

## Warning: There were 1 divergent transitions after warmup. Increasing
## adapt_delta above 0.8 may help. See
## http://mc-stan.org/misc/warnings.html#divergent-transitions-after-warmup
##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: avg_dead_biomass ~ Status * Season + Status * Region + (1 | Plot) 
##    Data: merged_sites (Number of observations: 181) 
##   Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
##          total post-warmup draws = 4000
## 
## Multilevel Hyperparameters:
## ~Plot (Number of levels: 181) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     0.19      0.14     0.01     0.52 1.00      964     1229
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                      0.39      0.18     0.06     0.76 1.00     2407
## StatusInvaded                  1.69      0.30     1.11     2.30 1.00     1920
## SeasonSpring                   0.39      0.29    -0.16     0.96 1.00     2251
## SeasonWinter                   0.38      0.28    -0.14     0.97 1.00     2374
## RegionCF                       0.14      0.22    -0.29     0.58 1.00     2715
## StatusInvaded:SeasonSpring    -0.28      0.48    -1.28     0.61 1.00     1812
## StatusInvaded:SeasonWinter     0.71      0.63    -0.58     1.94 1.00     2259
## StatusInvaded:RegionCF         0.92      0.54    -0.13     1.97 1.00     2517
##                            Tail_ESS
## Intercept                      2427
## StatusInvaded                  2152
## SeasonSpring                   2533
## SeasonWinter                   2232
## RegionCF                       2241
## StatusInvaded:SeasonSpring     2121
## StatusInvaded:SeasonWinter     2128
## StatusInvaded:RegionCF         2703
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     0.94      0.15     0.67     1.24 1.00     1774     1958
## nu        1.89      0.49     1.16     3.09 1.00     1844     1657
## 
## Draws were sampled using sampling(NUTS). For each parameter, Bulk_ESS
## and Tail_ESS are effective sample size measures, and Rhat is the potential
## scale reduction factor on split chains (at convergence, Rhat = 1).
## Using 10 posterior draws for ppc type 'dens_overlay' by default.

## Warning: Removed 5 rows containing non-finite outside the scale range
## (`stat_boxplot()`).
## Warning: Removed 5 rows containing missing values or values outside the scale range
## (`geom_point()`).

Dead Biomass Summary Table

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##   <thead>
##     <tr class="gt_heading">
##       <td colspan="7" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Dead Biomass</td>
##     </tr>
##     
##     <tr class="gt_col_headings">
##       <th class="gt_col_heading gt_columns_bottom_border gt_left" rowspan="1" colspan="1" scope="col" id="a::stub"></th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Estimate">Estimate</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Est.-Error">Est. Error</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Lower)">95% CI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Upper)">95% CI (Upper)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Rhat">Rhat</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="ESS">ESS</th>
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##   <tbody class="gt_table_body">
##     <tr><th id="stub_1_1" scope="row" class="gt_row gt_left gt_stub">(Intercept)</th>
## <td headers="stub_1_1 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.39</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.17</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.06</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.76</td>
## <td headers="stub_1_1 Rhat" class="gt_row gt_right" style="font-weight: bold;">0.9998396</td>
## <td headers="stub_1_1 ESS" class="gt_row gt_right" style="font-weight: bold;">2348.924</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_left gt_stub">StatusInvaded</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right" style="font-weight: bold;">1.68</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.30</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">1.11</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">2.30</td>
## <td headers="stub_1_2 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.0002844</td>
## <td headers="stub_1_2 ESS" class="gt_row gt_right" style="font-weight: bold;">1892.038</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_left gt_stub">SeasonSpring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right">0.39</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right">0.28</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right">−0.16</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right">0.96</td>
## <td headers="stub_1_3 Rhat" class="gt_row gt_right">1.0005312</td>
## <td headers="stub_1_3 ESS" class="gt_row gt_right">2205.448</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_left gt_stub">SeasonWinter</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right">0.38</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right">0.27</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right">−0.14</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right">0.97</td>
## <td headers="stub_1_4 Rhat" class="gt_row gt_right">1.0010659</td>
## <td headers="stub_1_4 ESS" class="gt_row gt_right">2315.160</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">RegionCF</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">0.14</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">0.21</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−0.29</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">0.58</td>
## <td headers="stub_1_5 Rhat" class="gt_row gt_right">1.0003020</td>
## <td headers="stub_1_5 ESS" class="gt_row gt_right">2657.768</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:SeasonSpring</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right">−0.26</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">0.47</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right">−1.28</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right">0.61</td>
## <td headers="stub_1_6 Rhat" class="gt_row gt_right">1.0011507</td>
## <td headers="stub_1_6 ESS" class="gt_row gt_right">1767.946</td></tr>
##     <tr><th id="stub_1_7" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:SeasonWinter</th>
## <td headers="stub_1_7 Estimate" class="gt_row gt_right">0.73</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">0.62</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−0.58</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">1.94</td>
## <td headers="stub_1_7 Rhat" class="gt_row gt_right">1.0002910</td>
## <td headers="stub_1_7 ESS" class="gt_row gt_right">2214.267</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:RegionCF</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right">0.92</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right">0.55</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right">−0.13</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right">1.97</td>
## <td headers="stub_1_8 Rhat" class="gt_row gt_right">1.0003722</td>
## <td headers="stub_1_8 ESS" class="gt_row gt_right">2524.396</td></tr>
##     <tr><th id="stub_1_9" scope="row" class="gt_row gt_left gt_stub">sigma</th>
## <td headers="stub_1_9 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.93</td>
## <td headers="stub_1_9 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.14</td>
## <td headers="stub_1_9 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.67</td>
## <td headers="stub_1_9 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">1.24</td>
## <td headers="stub_1_9 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.0023806</td>
## <td headers="stub_1_9 ESS" class="gt_row gt_right" style="font-weight: bold;">1837.662</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Conditional Effects Dead Biomass

## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

GLMM Litter Fuel Biomass

Model Comparison

## Warning: Found 5 observations with a pareto_k > 0.7 in model
## 'LT_Bio_model_student'. We recommend to set 'moment_match = TRUE' in order to
## perform moment matching for problematic observations.
## Warning: There were 8 divergent transitions after warmup. Increasing
## adapt_delta above 0.8 may help. See
## http://mc-stan.org/misc/warnings.html#divergent-transitions-after-warmup
##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: avg_litter_biomass ~ Status * Season + Status * Region + (1 | Plot) 
##    Data: merged_sites (Number of observations: 186) 
##   Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
##          total post-warmup draws = 4000
## 
## Multilevel Hyperparameters:
## ~Plot (Number of levels: 186) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     1.05      0.67     0.05     2.41 1.02      126      172
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                      6.14      0.55     5.07     7.21 1.00     2371
## StatusInvaded                 -0.99      0.81    -2.57     0.57 1.00     1891
## SeasonSpring                   0.68      0.96    -1.17     2.52 1.00     2016
## SeasonWinter                   1.01      0.87    -0.64     2.80 1.00     1005
## RegionCF                      -0.72      0.71    -2.09     0.71 1.00     1478
## StatusInvaded:SeasonSpring     0.58      1.35    -2.20     3.10 1.00     1800
## StatusInvaded:SeasonWinter     0.29      1.26    -2.25     2.77 1.00     1204
## StatusInvaded:RegionCF        -0.25      1.05    -2.30     1.82 1.00     1449
##                            Tail_ESS
## Intercept                      2751
## StatusInvaded                  2801
## SeasonSpring                   1884
## SeasonWinter                    425
## RegionCF                       1411
## StatusInvaded:SeasonSpring     1150
## StatusInvaded:SeasonWinter      667
## StatusInvaded:RegionCF         1154
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     2.72      0.45     1.64     3.50 1.01      197      101
## nu        6.26      4.80     2.31    18.65 1.00      552      548
## 
## Draws were sampled using sampling(NUTS). For each parameter, Bulk_ESS
## and Tail_ESS are effective sample size measures, and Rhat is the potential
## scale reduction factor on split chains (at convergence, Rhat = 1).
## Using 10 posterior draws for ppc type 'dens_overlay' by default.

Litter Biomass Summary Table

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##   <thead>
##     <tr class="gt_heading">
##       <td colspan="7" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Litter Biomass</td>
##     </tr>
##     
##     <tr class="gt_col_headings">
##       <th class="gt_col_heading gt_columns_bottom_border gt_left" rowspan="1" colspan="1" scope="col" id="a::stub"></th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Estimate">Estimate</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Est.-Error">Est. Error</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Lower)">95% CI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Upper)">95% CI (Upper)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Rhat">Rhat</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="ESS">ESS</th>
##     </tr>
##   </thead>
##   <tbody class="gt_table_body">
##     <tr><th id="stub_1_1" scope="row" class="gt_row gt_left gt_stub">(Intercept)</th>
## <td headers="stub_1_1 Estimate" class="gt_row gt_right" style="font-weight: bold;">6.14</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.56</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">5.07</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">7.21</td>
## <td headers="stub_1_1 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.000478</td>
## <td headers="stub_1_1 ESS" class="gt_row gt_right" style="font-weight: bold;">2337.3962</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_left gt_stub">StatusInvaded</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right">−1.00</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">0.83</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right">−2.57</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right">0.57</td>
## <td headers="stub_1_2 Rhat" class="gt_row gt_right">1.001461</td>
## <td headers="stub_1_2 ESS" class="gt_row gt_right">1869.0574</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_left gt_stub">SeasonSpring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right">0.66</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right">0.97</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right">−1.17</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right">2.52</td>
## <td headers="stub_1_3 Rhat" class="gt_row gt_right">1.003457</td>
## <td headers="stub_1_3 ESS" class="gt_row gt_right">2038.2141</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_left gt_stub">SeasonWinter</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right">1.00</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right">0.86</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right">−0.64</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right">2.80</td>
## <td headers="stub_1_4 Rhat" class="gt_row gt_right">1.003536</td>
## <td headers="stub_1_4 ESS" class="gt_row gt_right">927.3441</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">RegionCF</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">−0.73</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">0.71</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−2.09</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">0.71</td>
## <td headers="stub_1_5 Rhat" class="gt_row gt_right">1.002746</td>
## <td headers="stub_1_5 ESS" class="gt_row gt_right">1472.7010</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:SeasonSpring</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right">0.61</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">1.35</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right">−2.20</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right">3.10</td>
## <td headers="stub_1_6 Rhat" class="gt_row gt_right">1.004288</td>
## <td headers="stub_1_6 ESS" class="gt_row gt_right">1751.6623</td></tr>
##     <tr><th id="stub_1_7" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:SeasonWinter</th>
## <td headers="stub_1_7 Estimate" class="gt_row gt_right">0.30</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">1.25</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−2.25</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">2.77</td>
## <td headers="stub_1_7 Rhat" class="gt_row gt_right">1.004658</td>
## <td headers="stub_1_7 ESS" class="gt_row gt_right">1190.9531</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:RegionCF</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right">−0.25</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right">1.05</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right">−2.30</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right">1.82</td>
## <td headers="stub_1_8 Rhat" class="gt_row gt_right">1.001843</td>
## <td headers="stub_1_8 ESS" class="gt_row gt_right">1413.6043</td></tr>
##     <tr><th id="stub_1_9" scope="row" class="gt_row gt_left gt_stub">sigma</th>
## <td headers="stub_1_9 Estimate" class="gt_row gt_right" style="font-weight: bold;">2.76</td>
## <td headers="stub_1_9 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.43</td>
## <td headers="stub_1_9 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">1.64</td>
## <td headers="stub_1_9 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">3.50</td>
## <td headers="stub_1_9 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.015961</td>
## <td headers="stub_1_9 ESS" class="gt_row gt_right" style="font-weight: bold;">151.2703</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Conditional Effects Litter Biomass

## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

GLMM Live Moisture

Model Comparison

## Warning: Found 19 observations with a pareto_k > 0.7 in model
## 'LV_Moisture_model_student'. We recommend to set 'moment_match = TRUE' in order
## to perform moment matching for problematic observations.
## Warning: There were 182 divergent transitions after warmup. Increasing
## adapt_delta above 0.8 may help. See
## http://mc-stan.org/misc/warnings.html#divergent-transitions-after-warmup
##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: avg_live_moisture_content ~ Status * Season + Status * Region + (1 | Plot) 
##    Data: merged_sites (Number of observations: 133) 
##   Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
##          total post-warmup draws = 4000
## 
## Multilevel Hyperparameters:
## ~Plot (Number of levels: 133) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)    18.01     11.37     0.97    39.50 1.03       92      251
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                    160.45     10.49   139.69   181.59 1.01     1467
## StatusInvaded                 -8.46     13.42   -35.35    17.75 1.01     1020
## SeasonSpring                 -69.61     18.45  -104.89   -33.27 1.01      723
## SeasonWinter                 -69.57     27.70  -122.60   -14.62 1.01      456
## RegionCF                      12.61     15.39   -18.46    41.54 1.01      932
## StatusInvaded:SeasonSpring    19.56     23.00   -24.53    64.84 1.01      670
## StatusInvaded:SeasonWinter    39.31     30.50   -20.04    96.41 1.01      492
## StatusInvaded:RegionCF       -11.84     18.16   -47.90    25.11 1.01     1067
##                            Tail_ESS
## Intercept                      2513
## StatusInvaded                   835
## SeasonSpring                   1459
## SeasonWinter                    962
## RegionCF                       1641
## StatusInvaded:SeasonSpring      451
## StatusInvaded:SeasonWinter     1145
## StatusInvaded:RegionCF         1442
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma    39.78      6.37    24.62    50.68 1.03      114       68
## nu       15.26     11.54     3.26    44.90 1.01      352      261
## 
## Draws were sampled using sampling(NUTS). For each parameter, Bulk_ESS
## and Tail_ESS are effective sample size measures, and Rhat is the potential
## scale reduction factor on split chains (at convergence, Rhat = 1).
## Using 10 posterior draws for ppc type 'dens_overlay' by default.

## Warning: Removed 53 rows containing non-finite outside the scale range
## (`stat_boxplot()`).
## Warning: Removed 53 rows containing missing values or values outside the scale range
## (`geom_point()`).

Live Moisture Summary Table

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##   <thead>
##     <tr class="gt_heading">
##       <td colspan="7" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Live Fuel Moisture</td>
##     </tr>
##     
##     <tr class="gt_col_headings">
##       <th class="gt_col_heading gt_columns_bottom_border gt_left" rowspan="1" colspan="1" scope="col" id="a::stub"></th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Estimate">Estimate</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Est.-Error">Est. Error</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Lower)">95% CI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Upper)">95% CI (Upper)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Rhat">Rhat</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="ESS">ESS</th>
##     </tr>
##   </thead>
##   <tbody class="gt_table_body">
##     <tr><th id="stub_1_1" scope="row" class="gt_row gt_left gt_stub">(Intercept)</th>
## <td headers="stub_1_1 Estimate" class="gt_row gt_right" style="font-weight: bold;">160.49</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right" style="font-weight: bold;">10.20</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">139.69</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">181.59</td>
## <td headers="stub_1_1 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.002807</td>
## <td headers="stub_1_1 ESS" class="gt_row gt_right" style="font-weight: bold;">1431.88101</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_left gt_stub">StatusInvaded</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right">−8.69</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">13.54</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right">−35.35</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right">17.75</td>
## <td headers="stub_1_2 Rhat" class="gt_row gt_right">1.005341</td>
## <td headers="stub_1_2 ESS" class="gt_row gt_right">1007.60733</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_left gt_stub">SeasonSpring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right" style="font-weight: bold;">−70.01</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right" style="font-weight: bold;">18.23</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−104.89</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−33.27</td>
## <td headers="stub_1_3 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.008788</td>
## <td headers="stub_1_3 ESS" class="gt_row gt_right" style="font-weight: bold;">694.56939</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_left gt_stub">SeasonWinter</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right" style="font-weight: bold;">−69.71</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right" style="font-weight: bold;">27.46</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−122.60</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−14.62</td>
## <td headers="stub_1_4 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.013597</td>
## <td headers="stub_1_4 ESS" class="gt_row gt_right" style="font-weight: bold;">472.34373</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">RegionCF</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">12.90</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">14.60</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−18.46</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">41.54</td>
## <td headers="stub_1_5 Rhat" class="gt_row gt_right">1.006350</td>
## <td headers="stub_1_5 ESS" class="gt_row gt_right">890.10523</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:SeasonSpring</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right">19.27</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">23.16</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right">−24.53</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right">64.84</td>
## <td headers="stub_1_6 Rhat" class="gt_row gt_right">1.011417</td>
## <td headers="stub_1_6 ESS" class="gt_row gt_right">638.57101</td></tr>
##     <tr><th id="stub_1_7" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:SeasonWinter</th>
## <td headers="stub_1_7 Estimate" class="gt_row gt_right">39.44</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">30.65</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−20.04</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">96.41</td>
## <td headers="stub_1_7 Rhat" class="gt_row gt_right">1.011869</td>
## <td headers="stub_1_7 ESS" class="gt_row gt_right">469.72354</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:RegionCF</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right">−11.82</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right">17.29</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right">−47.90</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right">25.11</td>
## <td headers="stub_1_8 Rhat" class="gt_row gt_right">1.009900</td>
## <td headers="stub_1_8 ESS" class="gt_row gt_right">1088.74052</td></tr>
##     <tr><th id="stub_1_9" scope="row" class="gt_row gt_left gt_stub">sigma</th>
## <td headers="stub_1_9 Estimate" class="gt_row gt_right" style="font-weight: bold;">40.42</td>
## <td headers="stub_1_9 Est. Error" class="gt_row gt_right" style="font-weight: bold;">6.51</td>
## <td headers="stub_1_9 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">24.62</td>
## <td headers="stub_1_9 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">50.68</td>
## <td headers="stub_1_9 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.030804</td>
## <td headers="stub_1_9 ESS" class="gt_row gt_right" style="font-weight: bold;">88.02571</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Conditional Effects Live Moisture

## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

GLMM Dead Moisture

Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: avg_dead_moisture_content ~ Status * Season + Status * Region + (1 | Plot) 
##    Data: merged_sites (Number of observations: 135) 
##   Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
##          total post-warmup draws = 4000
## 
## Multilevel Hyperparameters:
## ~Plot (Number of levels: 135) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     1.66      1.24     0.06     4.48 1.00      956     1517
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                     14.73      3.53     7.98    22.13 1.00     1806
## StatusInvaded                  2.12      3.79    -5.65     9.52 1.00     1704
## SeasonSpring                  -0.62      3.57    -8.04     5.90 1.00     1733
## SeasonWinter                   0.86      3.54    -6.31     7.71 1.00     2270
## RegionCF                      -1.70      2.85    -7.56     3.80 1.00     2518
## StatusInvaded:SeasonSpring    -4.16      4.13   -11.81     4.17 1.00     1790
## StatusInvaded:SeasonWinter     0.59      4.39    -7.69     9.63 1.00     2144
## StatusInvaded:RegionCF         1.54      3.41    -4.97     8.47 1.00     2412
##                            Tail_ESS
## Intercept                      1630
## StatusInvaded                  2231
## SeasonSpring                   1921
## SeasonWinter                   2286
## RegionCF                       2084
## StatusInvaded:SeasonSpring     1724
## StatusInvaded:SeasonWinter     2151
## StatusInvaded:RegionCF         2345
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     6.00      0.97     4.28     8.11 1.00     2266     1873
## nu        1.25      0.18     1.02     1.70 1.00     2824     2448
## 
## Draws were sampled using sampling(NUTS). For each parameter, Bulk_ESS
## and Tail_ESS are effective sample size measures, and Rhat is the potential
## scale reduction factor on split chains (at convergence, Rhat = 1).
## Using 10 posterior draws for ppc type 'dens_overlay' by default.

## Warning: Removed 51 rows containing non-finite outside the scale range
## (`stat_boxplot()`).
## Warning: Removed 51 rows containing missing values or values outside the scale range
## (`geom_point()`).

Dead Moisture Summary Table

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##   <thead>
##     <tr class="gt_heading">
##       <td colspan="7" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Dead Fuel Moisture</td>
##     </tr>
##     
##     <tr class="gt_col_headings">
##       <th class="gt_col_heading gt_columns_bottom_border gt_left" rowspan="1" colspan="1" scope="col" id="a::stub"></th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Estimate">Estimate</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Est.-Error">Est. Error</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Lower)">95% CI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Upper)">95% CI (Upper)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Rhat">Rhat</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="ESS">ESS</th>
##     </tr>
##   </thead>
##   <tbody class="gt_table_body">
##     <tr><th id="stub_1_1" scope="row" class="gt_row gt_left gt_stub">(Intercept)</th>
## <td headers="stub_1_1 Estimate" class="gt_row gt_right" style="font-weight: bold;">14.66</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right" style="font-weight: bold;">3.30</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">7.98</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">22.13</td>
## <td headers="stub_1_1 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.001155</td>
## <td headers="stub_1_1 ESS" class="gt_row gt_right" style="font-weight: bold;">1697.545</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_left gt_stub">StatusInvaded</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right">2.15</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">3.64</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right">−5.65</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right">9.52</td>
## <td headers="stub_1_2 Rhat" class="gt_row gt_right">1.000751</td>
## <td headers="stub_1_2 ESS" class="gt_row gt_right">1619.569</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_left gt_stub">SeasonSpring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right">−0.51</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right">3.45</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right">−8.04</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right">5.90</td>
## <td headers="stub_1_3 Rhat" class="gt_row gt_right">1.001224</td>
## <td headers="stub_1_3 ESS" class="gt_row gt_right">1603.016</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_left gt_stub">SeasonWinter</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right">0.91</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right">3.46</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right">−6.31</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right">7.71</td>
## <td headers="stub_1_4 Rhat" class="gt_row gt_right">1.000692</td>
## <td headers="stub_1_4 ESS" class="gt_row gt_right">2200.330</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">RegionCF</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">−1.64</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">2.71</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−7.56</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">3.80</td>
## <td headers="stub_1_5 Rhat" class="gt_row gt_right">1.001060</td>
## <td headers="stub_1_5 ESS" class="gt_row gt_right">2384.313</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:SeasonSpring</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right">−4.32</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">4.04</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right">−11.81</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right">4.17</td>
## <td headers="stub_1_6 Rhat" class="gt_row gt_right">1.002112</td>
## <td headers="stub_1_6 ESS" class="gt_row gt_right">1650.369</td></tr>
##     <tr><th id="stub_1_7" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:SeasonWinter</th>
## <td headers="stub_1_7 Estimate" class="gt_row gt_right">0.37</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">4.17</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−7.69</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">9.63</td>
## <td headers="stub_1_7 Rhat" class="gt_row gt_right">1.001281</td>
## <td headers="stub_1_7 ESS" class="gt_row gt_right">2074.588</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:RegionCF</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right">1.43</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right">3.33</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right">−4.97</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right">8.47</td>
## <td headers="stub_1_8 Rhat" class="gt_row gt_right">1.000543</td>
## <td headers="stub_1_8 ESS" class="gt_row gt_right">2324.753</td></tr>
##     <tr><th id="stub_1_9" scope="row" class="gt_row gt_left gt_stub">sigma</th>
## <td headers="stub_1_9 Estimate" class="gt_row gt_right" style="font-weight: bold;">5.91</td>
## <td headers="stub_1_9 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.95</td>
## <td headers="stub_1_9 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">4.28</td>
## <td headers="stub_1_9 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">8.11</td>
## <td headers="stub_1_9 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.000106</td>
## <td headers="stub_1_9 ESS" class="gt_row gt_right" style="font-weight: bold;">2396.315</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Conditional Effects Dead Moisture

## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

GLMM Litter Moisture

Model Comparison

## Warning: There were 2 divergent transitions after warmup. Increasing
## adapt_delta above 0.8 may help. See
## http://mc-stan.org/misc/warnings.html#divergent-transitions-after-warmup
##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: avg_litter_moisture_content ~ Status * Season + Status * Region + (1 | Plot) 
##    Data: merged_sites (Number of observations: 186) 
##   Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
##          total post-warmup draws = 4000
## 
## Multilevel Hyperparameters:
## ~Plot (Number of levels: 186) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     4.25      2.86     0.24    10.25 1.01      386      338
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                     24.06      4.25    16.20    32.82 1.00     1413
## StatusInvaded                 -1.68      5.01   -12.14     7.63 1.00     1209
## SeasonSpring                  -8.49      4.82   -18.13     0.56 1.00     1472
## SeasonWinter                  15.44      6.31     2.30    27.46 1.00     1514
## RegionCF                      -5.38      4.24   -13.70     2.82 1.00     2389
## StatusInvaded:SeasonSpring    -0.18      6.30   -12.51    12.58 1.00     1566
## StatusInvaded:SeasonWinter    -8.21      8.09   -23.60     8.52 1.00     1632
## StatusInvaded:RegionCF         2.64      5.58    -8.32    13.50 1.00     1975
##                            Tail_ESS
## Intercept                      1490
## StatusInvaded                  1274
## SeasonSpring                   1647
## SeasonWinter                    662
## RegionCF                       2557
## StatusInvaded:SeasonSpring     1413
## StatusInvaded:SeasonWinter      987
## StatusInvaded:RegionCF         2375
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma    13.38      2.17     9.24    17.95 1.00      587      372
## nu        2.16      0.58     1.33     3.60 1.00     1084     1333
## 
## Draws were sampled using sampling(NUTS). For each parameter, Bulk_ESS
## and Tail_ESS are effective sample size measures, and Rhat is the potential
## scale reduction factor on split chains (at convergence, Rhat = 1).
## Using 10 posterior draws for ppc type 'dens_overlay' by default.

Litter Moisture Summary Table

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##   <thead>
##     <tr class="gt_heading">
##       <td colspan="7" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Litter Fuel Moisture</td>
##     </tr>
##     
##     <tr class="gt_col_headings">
##       <th class="gt_col_heading gt_columns_bottom_border gt_left" rowspan="1" colspan="1" scope="col" id="a::stub"></th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Estimate">Estimate</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Est.-Error">Est. Error</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Lower)">95% CI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Upper)">95% CI (Upper)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Rhat">Rhat</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="ESS">ESS</th>
##     </tr>
##   </thead>
##   <tbody class="gt_table_body">
##     <tr><th id="stub_1_1" scope="row" class="gt_row gt_left gt_stub">(Intercept)</th>
## <td headers="stub_1_1 Estimate" class="gt_row gt_right" style="font-weight: bold;">23.91</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right" style="font-weight: bold;">4.20</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">16.20</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">32.82</td>
## <td headers="stub_1_1 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.002260</td>
## <td headers="stub_1_1 ESS" class="gt_row gt_right" style="font-weight: bold;">1356.4127</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_left gt_stub">StatusInvaded</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right">−1.49</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">5.00</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right">−12.14</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right">7.63</td>
## <td headers="stub_1_2 Rhat" class="gt_row gt_right">1.003346</td>
## <td headers="stub_1_2 ESS" class="gt_row gt_right">1155.7078</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_left gt_stub">SeasonSpring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right">−8.38</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right">4.90</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right">−18.13</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right">0.56</td>
## <td headers="stub_1_3 Rhat" class="gt_row gt_right">1.001731</td>
## <td headers="stub_1_3 ESS" class="gt_row gt_right">1445.0201</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_left gt_stub">SeasonWinter</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right" style="font-weight: bold;">15.59</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right" style="font-weight: bold;">6.15</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">2.30</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">27.46</td>
## <td headers="stub_1_4 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.003354</td>
## <td headers="stub_1_4 ESS" class="gt_row gt_right" style="font-weight: bold;">1425.7383</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">RegionCF</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">−5.33</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">4.14</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−13.70</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">2.82</td>
## <td headers="stub_1_5 Rhat" class="gt_row gt_right">1.000034</td>
## <td headers="stub_1_5 ESS" class="gt_row gt_right">2341.5335</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:SeasonSpring</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right">−0.32</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">6.13</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right">−12.51</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right">12.58</td>
## <td headers="stub_1_6 Rhat" class="gt_row gt_right">1.001780</td>
## <td headers="stub_1_6 ESS" class="gt_row gt_right">1532.3328</td></tr>
##     <tr><th id="stub_1_7" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:SeasonWinter</th>
## <td headers="stub_1_7 Estimate" class="gt_row gt_right">−8.39</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">8.12</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−23.60</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">8.52</td>
## <td headers="stub_1_7 Rhat" class="gt_row gt_right">1.003828</td>
## <td headers="stub_1_7 ESS" class="gt_row gt_right">1569.1002</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:RegionCF</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right">2.59</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right">5.44</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right">−8.32</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right">13.50</td>
## <td headers="stub_1_8 Rhat" class="gt_row gt_right">1.000421</td>
## <td headers="stub_1_8 ESS" class="gt_row gt_right">1949.4117</td></tr>
##     <tr><th id="stub_1_9" scope="row" class="gt_row gt_left gt_stub">sigma</th>
## <td headers="stub_1_9 Estimate" class="gt_row gt_right" style="font-weight: bold;">13.33</td>
## <td headers="stub_1_9 Est. Error" class="gt_row gt_right" style="font-weight: bold;">2.18</td>
## <td headers="stub_1_9 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">9.24</td>
## <td headers="stub_1_9 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">17.95</td>
## <td headers="stub_1_9 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.002857</td>
## <td headers="stub_1_9 ESS" class="gt_row gt_right" style="font-weight: bold;">573.1407</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Conditional Effects Litter Moisture

## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

GLMM Soil Moisture

Model Comparison

## Warning: Found 1 observations with a pareto_k > 0.7 in model
## 'Soil_Moisture_model_student'. We recommend to set 'moment_match = TRUE' in
## order to perform moment matching for problematic observations.
## Warning: Parts of the model have not converged (some Rhats are > 1.05). Be
## careful when analysing the results! We recommend running more iterations and/or
## setting stronger priors.
## Warning: There were 1 divergent transitions after warmup. Increasing
## adapt_delta above 0.8 may help. See
## http://mc-stan.org/misc/warnings.html#divergent-transitions-after-warmup
##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: avg_soil_moisture ~ Status * Season + Region + (1 | Plot) 
##    Data: merged_sites (Number of observations: 186) 
##   Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
##          total post-warmup draws = 4000
## 
## Multilevel Hyperparameters:
## ~Plot (Number of levels: 186) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     2.02      0.82     0.16     3.22 1.08       46       74
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                      9.01      0.67     7.70    10.37 1.02      836
## StatusInvaded                  2.23      0.91     0.50     4.04 1.01      419
## SeasonSpring                  -0.67      1.33    -3.11     2.78 1.02      128
## SeasonWinter                   2.10      0.99     0.18     4.01 1.00      957
## RegionCF                      -4.96      0.72    -6.39    -3.60 1.02      200
## StatusInvaded:SeasonSpring    -2.64      1.65    -5.86     0.45 1.01      403
## StatusInvaded:SeasonWinter    -1.91      1.49    -4.73     1.10 1.01      798
##                            Tail_ESS
## Intercept                      1710
## StatusInvaded                   563
## SeasonSpring                     29
## SeasonWinter                   2224
## RegionCF                        154
## StatusInvaded:SeasonSpring      555
## StatusInvaded:SeasonWinter     1249
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     2.30      0.63     1.24     3.51 1.11       29       21
## nu        1.60      0.38     1.06     2.49 1.06       51       57
## 
## Draws were sampled using sampling(NUTS). For each parameter, Bulk_ESS
## and Tail_ESS are effective sample size measures, and Rhat is the potential
## scale reduction factor on split chains (at convergence, Rhat = 1).
## Using 10 posterior draws for ppc type 'dens_overlay' by default.

Soil Moisture Summary Table

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##   <thead>
##     <tr class="gt_heading">
##       <td colspan="7" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Soil Moisture</td>
##     </tr>
##     
##     <tr class="gt_col_headings">
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##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Estimate">Estimate</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Est.-Error">Est. Error</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Lower)">95% CI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Upper)">95% CI (Upper)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Rhat">Rhat</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="ESS">ESS</th>
##     </tr>
##   </thead>
##   <tbody class="gt_table_body">
##     <tr><th id="stub_1_1" scope="row" class="gt_row gt_left gt_stub">(Intercept)</th>
## <td headers="stub_1_1 Estimate" class="gt_row gt_right" style="font-weight: bold;">8.99</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.65</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">7.70</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">10.37</td>
## <td headers="stub_1_1 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.005034</td>
## <td headers="stub_1_1 ESS" class="gt_row gt_right" style="font-weight: bold;">856.14363</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_left gt_stub">StatusInvaded</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right" style="font-weight: bold;">2.24</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.91</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.50</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">4.04</td>
## <td headers="stub_1_2 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.012994</td>
## <td headers="stub_1_2 ESS" class="gt_row gt_right" style="font-weight: bold;">545.41092</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_left gt_stub">SeasonSpring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right">−0.72</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right">1.23</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right">−3.11</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right">2.78</td>
## <td headers="stub_1_3 Rhat" class="gt_row gt_right">1.034831</td>
## <td headers="stub_1_3 ESS" class="gt_row gt_right">95.44011</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_left gt_stub">SeasonWinter</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right" style="font-weight: bold;">2.12</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.97</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.18</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">4.01</td>
## <td headers="stub_1_4 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.004831</td>
## <td headers="stub_1_4 ESS" class="gt_row gt_right" style="font-weight: bold;">918.25398</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">RegionCF</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right" style="font-weight: bold;">−4.95</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.72</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−6.39</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−3.60</td>
## <td headers="stub_1_5 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.002498</td>
## <td headers="stub_1_5 ESS" class="gt_row gt_right" style="font-weight: bold;">185.17038</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:SeasonSpring</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right">−2.64</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">1.71</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right">−5.86</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right">0.45</td>
## <td headers="stub_1_6 Rhat" class="gt_row gt_right">1.008243</td>
## <td headers="stub_1_6 ESS" class="gt_row gt_right">379.03984</td></tr>
##     <tr><th id="stub_1_7" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:SeasonWinter</th>
## <td headers="stub_1_7 Estimate" class="gt_row gt_right">−1.92</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">1.49</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−4.73</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">1.10</td>
## <td headers="stub_1_7 Rhat" class="gt_row gt_right">1.001563</td>
## <td headers="stub_1_7 ESS" class="gt_row gt_right">784.31905</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">sigma</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right" style="font-weight: bold;">2.26</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.73</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">1.24</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">3.51</td>
## <td headers="stub_1_8 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.088701</td>
## <td headers="stub_1_8 ESS" class="gt_row gt_right" style="font-weight: bold;">69.70737</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Conditional Effects Soil Moisture

## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

GLMM Veg Height

Model Comparison

## Warning: Found 8 observations with a pareto_k > 0.7 in model
## 'Veg_Height_model_student'. We recommend to set 'moment_match = TRUE' in order
## to perform moment matching for problematic observations.
## Warning: There were 98 divergent transitions after warmup. Increasing
## adapt_delta above 0.8 may help. See
## http://mc-stan.org/misc/warnings.html#divergent-transitions-after-warmup
##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: avg_height ~ Status * Season + Region + (1 | Plot) 
##    Data: merged_sites (Number of observations: 183) 
##   Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
##          total post-warmup draws = 4000
## 
## Multilevel Hyperparameters:
## ~Plot (Number of levels: 183) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     0.05      0.03     0.00     0.11 1.02      171      307
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                      0.19      0.03     0.14     0.25 1.01      561
## StatusInvaded                  0.56      0.04     0.49     0.64 1.01      745
## SeasonSpring                   0.09      0.05     0.00     0.18 1.01     1698
## SeasonWinter                  -0.03      0.05    -0.12     0.07 1.01      470
## RegionCF                       0.14      0.03     0.09     0.20 1.00     1088
## StatusInvaded:SeasonSpring    -0.15      0.07    -0.28    -0.02 1.00     1316
## StatusInvaded:SeasonWinter     0.04      0.07    -0.09     0.18 1.01      455
##                            Tail_ESS
## Intercept                       368
## StatusInvaded                   850
## SeasonSpring                   2231
## SeasonWinter                    395
## RegionCF                       1420
## StatusInvaded:SeasonSpring     1692
## StatusInvaded:SeasonWinter      230
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     0.15      0.02     0.10     0.18 1.01      252      239
## nu        8.47      6.44     2.81    29.03 1.01      416      303
## 
## Draws were sampled using sampling(NUTS). For each parameter, Bulk_ESS
## and Tail_ESS are effective sample size measures, and Rhat is the potential
## scale reduction factor on split chains (at convergence, Rhat = 1).
## Using 10 posterior draws for ppc type 'dens_overlay' by default.

## Warning: Removed 3 rows containing non-finite outside the scale range
## (`stat_boxplot()`).
## Warning: Removed 3 rows containing missing values or values outside the scale range
## (`geom_point()`).

Veg Height Summary Table

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##   height: 0px !important;
## }
## </style>
##   <table class="gt_table" data-quarto-disable-processing="false" data-quarto-bootstrap="false">
##   <thead>
##     <tr class="gt_heading">
##       <td colspan="7" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Vegetation Height</td>
##     </tr>
##     
##     <tr class="gt_col_headings">
##       <th class="gt_col_heading gt_columns_bottom_border gt_left" rowspan="1" colspan="1" scope="col" id="a::stub"></th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Estimate">Estimate</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Est.-Error">Est. Error</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Lower)">95% CI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Upper)">95% CI (Upper)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Rhat">Rhat</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="ESS">ESS</th>
##     </tr>
##   </thead>
##   <tbody class="gt_table_body">
##     <tr><th id="stub_1_1" scope="row" class="gt_row gt_left gt_stub">(Intercept)</th>
## <td headers="stub_1_1 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.19</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.03</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.14</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.25</td>
## <td headers="stub_1_1 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.009294</td>
## <td headers="stub_1_1 ESS" class="gt_row gt_right" style="font-weight: bold;">498.6091</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_left gt_stub">StatusInvaded</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.57</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.04</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.49</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.64</td>
## <td headers="stub_1_2 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.004509</td>
## <td headers="stub_1_2 ESS" class="gt_row gt_right" style="font-weight: bold;">694.4677</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_left gt_stub">SeasonSpring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.09</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.05</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.00</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.18</td>
## <td headers="stub_1_3 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.000978</td>
## <td headers="stub_1_3 ESS" class="gt_row gt_right" style="font-weight: bold;">1695.7748</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_left gt_stub">SeasonWinter</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right">−0.03</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right">0.05</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right">−0.12</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right">0.07</td>
## <td headers="stub_1_4 Rhat" class="gt_row gt_right">1.009810</td>
## <td headers="stub_1_4 ESS" class="gt_row gt_right">442.2836</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">RegionCF</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.14</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.03</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.09</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.20</td>
## <td headers="stub_1_5 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.000572</td>
## <td headers="stub_1_5 ESS" class="gt_row gt_right" style="font-weight: bold;">1046.9688</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:SeasonSpring</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right" style="font-weight: bold;">−0.15</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.07</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−0.28</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−0.02</td>
## <td headers="stub_1_6 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.001748</td>
## <td headers="stub_1_6 ESS" class="gt_row gt_right" style="font-weight: bold;">1312.9018</td></tr>
##     <tr><th id="stub_1_7" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:SeasonWinter</th>
## <td headers="stub_1_7 Estimate" class="gt_row gt_right">0.04</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">0.07</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−0.09</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">0.18</td>
## <td headers="stub_1_7 Rhat" class="gt_row gt_right">1.009567</td>
## <td headers="stub_1_7 ESS" class="gt_row gt_right">423.7265</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">sigma</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.15</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.02</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.10</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.18</td>
## <td headers="stub_1_8 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.010691</td>
## <td headers="stub_1_8 ESS" class="gt_row gt_right" style="font-weight: bold;">234.8764</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Conditional Effects Veg Height

## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?