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", ]
#Fuel Dynamics ## Combine seasonal fuel data
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")
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")
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")
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")
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")
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")
# 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)
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.
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 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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## <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>
## 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()`).
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## <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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## </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;">0.64</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>
## 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?
## 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()`).
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## <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>
## `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?
## 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.
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## <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>
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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;">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>
## `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?
## 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()`).
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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>
## `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?
## 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()`).
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## text-indent: 25px;
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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>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>
## `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?
## 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.
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## <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 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>
## `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?
## 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.
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## <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 Soil 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;">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>
## `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?
## 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()`).
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## border-right-style: none;
## border-right-width: 2px;
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## }
##
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## font-size: 90%;
## padding-top: 4px;
## padding-bottom: 4px;
## padding-left: 5px;
## padding-right: 5px;
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## text-indent: 25px;
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## display: inline-flex !important;
## margin-bottom: 0.75em !important;
## }
##
## #aegioqboif div.Reactable > div.rt-table > div.rt-thead > div.rt-tr.rt-tr-group-header > div.rt-th-group:after {
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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>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>
## `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?