Chapter1 Objective1

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

## 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(Site %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(Site %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(Site %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(Site %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(Site %in% c("BRSF", "WSF", "Jay"))

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

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

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

#Fuel Dynamics ## Combine seasonal fuel data

Net Weight Method

Live

Comb_Live_Data_Net <- Combined_Data_Net %>%
  mutate(
    Live_Bag = as.numeric(Live_Bag),
    Live_Weight_Post = as.numeric(Live_Weight_Post),
    Live_Weight_Initial = as.numeric(Live_Weight_Initial),
    Live_Height = as.numeric(Height),
    Net_Live = as.numeric(Net_Live),
    Status = as.character(Status)  # Status as a character
  )

## Warning: There was 1 warning in `mutate()`.
## ℹ In argument: `Live_Height = as.numeric(Height)`.
## Caused by warning:
## ! NAs introduced by coercion

Comb_Live_Data_Net <- Comb_Live_Data_Net %>%
  mutate(biomass = Net_Live)

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

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

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

Dead

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

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

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

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

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

Litter

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

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

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

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

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

Average Bag Weight Method

Live

Comb_Live_Data_Avg <- Combined_Data_Avg %>%
  mutate(
    Live_Bag = as.numeric(Live_Bag),
    Live_Weight_Post = as.numeric(Live_Weight_Post),
    Live_Weight_Initial = as.numeric(Live_Weight_Initial),
    Live_Height = as.numeric(Height),
    Dry_LiveBag = as.numeric(Dry_LiveBag),
    Status = as.character(Status)  # Status as a character
  )

## Warning: There were 2 warnings in `mutate()`.
## The first warning was:
## ℹ In argument: `Live_Height = as.numeric(Height)`.
## Caused by warning:
## ! NAs introduced by coercion
## ℹ Run `dplyr::last_dplyr_warnings()` to see the 1 remaining warning.

Comb_Live_Data_Avg <- Comb_Live_Data_Avg %>%
  mutate(biomass = Live_Weight_Post - Dry_LiveBag)

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

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

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

Dead

Comb_Dead_Data_Avg <- Combined_Data_Avg %>%
  mutate(
    Dead_Bag = as.numeric(Dead_Bag),
    Dead_Weight_Post = as.numeric(Dead_Weight_Post),
    Dead_Weight_Initial = as.numeric(Dead_Weight_Initial),
    Dry_DeadBag = as.numeric(Dry_DeadBag),
    Status = as.character(Status)  # Status as a character
  )

## Warning: There was 1 warning in `mutate()`.
## ℹ In argument: `Dry_DeadBag = as.numeric(Dry_DeadBag)`.
## Caused by warning:
## ! NAs introduced by coercion

Comb_Dead_Data_Avg <- Comb_Dead_Data_Avg %>%
  mutate(biomass = Dead_Weight_Post - Dry_DeadBag)

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

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

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

Litter

Comb_Litter_Data_Avg <- Combined_Data_Avg %>%
  mutate(
    Litter_Bag = as.numeric(Litter_Bag),
    Litter_Weight_Post = as.numeric(Litter_Weight_Post),
    Litter_Weight_Initial = as.numeric(Litter_Weight_Initial),
    Dry_LitterBag = as.numeric(Dry_LitterBag),
    Status = as.character(Status)  # Status as a character
  )

## Warning: There was 1 warning in `mutate()`.
## ℹ In argument: `Dry_LitterBag = as.numeric(Dry_LitterBag)`.
## Caused by warning:
## ! NAs introduced by coercion

Comb_Litter_Data_Avg <- Comb_Litter_Data_Avg %>%
  mutate(biomass = Litter_Weight_Post - Dry_LitterBag)

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

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

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

Fill in gaps within Net method with Avg method.

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

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

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

Combine summer sampling (CogonSites) locations with winter sampling locations

Merge avg_live_values, avg_dead_values, and avg_litter_values

Average Fuel Values by Invasion Status and Season

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

25th, 50th and 75 quantiles of fuel values

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

# Kable table of quantiles
kable(Fuel_model_quantiles)

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

Fuel Table

Fuel and Moisture Quantiles by Invasion Status and Season
Variable	Invaded - Spring	Invaded - Summer	Invaded - Winter	Non Invaded - Spring	Non Invaded - Summer	Non Invaded - Winter
Live Biomass (25%)	1.16	1.77	0.95	0.37	0.28	0.21
Live Biomass (50%)	2.16	2.45	1.50	0.51	0.59	0.27
Live Biomass (75%)	3.47	3.72	2.49	0.75	1.02	0.51
Dead Biomass (25%)	1.89	1.26	1.95	0.34	0.14	0.32
Dead Biomass (50%)	2.42	2.40	3.41	0.75	0.32	0.72
Dead Biomass (75%)	3.11	4.48	6.20	1.36	0.90	1.81
Litter Biomass (25%)	3.49	2.33	3.02	3.92	3.99	4.61
Litter Biomass (50%)	4.97	4.09	5.62	6.19	6.06	6.60
Litter Biomass (75%)	9.22	6.75	7.92	8.34	7.31	9.26
Live Moisture Content (25%)	54.67	133.22	95.77	51.68	133.27	30.65
Live Moisture Content (50%)	117.06	147.42	119.49	80.33	163.92	85.19
Live Moisture Content (75%)	133.05	168.25	151.14	146.20	191.77	184.43
Dead Moisture Content (25%)	9.20	13.45	13.79	9.75	8.80	11.68
Dead Moisture Content (50%)	10.40	18.01	19.72	15.47	15.42	16.25
Dead Moisture Content (75%)	16.58	27.30	36.74	17.59	29.73	49.33
Litter Moisture Content (25%)	9.49	11.68	15.98	7.29	10.01	15.91
Litter Moisture Content (50%)	11.45	21.21	27.86	12.30	21.21	42.65
Litter Moisture Content (75%)	14.92	35.50	47.96	17.28	47.67	56.81
Soil Moisture (25%)	4.83	6.32	5.93	3.07	3.74	6.23
Soil Moisture (50%)	5.77	10.90	10.92	4.03	5.50	9.57
Soil Moisture (75%)	7.10	12.96	13.89	9.30	11.66	12.38
Height (25%)	0.56	0.66	0.71	0.23	0.15	0.11
Height (50%)	0.75	0.80	0.85	0.33	0.24	0.24
Height (75%)	0.95	1.01	0.97	0.44	0.34	0.36

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

Objective 1- Cogongrass relationship with fuel dynamics

Data Cleaning

GLMM Live Fuel Biomass

Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: avg_live_biomass ~ Status * Season + Status * Latitude + (1 | Site) 
##    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:
## ~Site (Number of levels: 3) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     1.28      1.26     0.06     4.70 1.00      773     1539
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                    -19.12     28.36   -92.84    14.39 1.00      927
## StatusInvaded                 18.93      3.72    11.72    26.27 1.00     2527
## SeasonSpring                  -0.11      0.17    -0.45     0.22 1.00     2717
## SeasonWinter                  -0.23      0.15    -0.52     0.09 1.00     2941
## Latitude                       0.66      0.94    -0.46     3.11 1.00      930
## StatusInvaded:SeasonSpring    -0.70      0.31    -1.27    -0.06 1.00     2919
## StatusInvaded:SeasonWinter    -1.00      0.28    -1.57    -0.44 1.00     3141
## StatusInvaded:Latitude        -0.57      0.12    -0.81    -0.33 1.00     2548
##                            Tail_ESS
## Intercept                      1133
## StatusInvaded                  2328
## SeasonSpring                   2928
## SeasonWinter                   2336
## Latitude                       1209
## StatusInvaded:SeasonSpring     2596
## StatusInvaded:SeasonWinter     2642
## StatusInvaded:Latitude         2386
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     0.59      0.08     0.45     0.74 1.00     2343     1821
## nu        2.40      0.65     1.46     3.92 1.00     2480     1798
## 
## 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.

## Estimated marginal means

## Season = Summer:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded    1.960     1.611      2.30
## 
## Season = Spring:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded    1.254     0.779      1.77
## 
## Season = Winter:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded    0.954     0.562      1.45
## 
## Point estimate displayed: median 
## HPD interval probability: 0.95

## Probability of Direction
## 
## contrast              | Season |   pd
## -------------------------------------
## Invaded - Non_Invaded | Summer | 100%
## Invaded - Non_Invaded | Spring | 100%
## Invaded - Non_Invaded | Winter | 100%

Live Biomass Summary Table

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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 Live Biomass</td>
##     </tr>
##     
##     <tr class="gt_col_headings">
##       <th class="gt_col_heading gt_columns_bottom_border gt_left" rowspan="1" colspan="1" scope="col" id="a::stub"></th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Estimate">Estimate</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Est.-Error">Est. Error</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Lower)">95% CI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Upper)">95% CI (Upper)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Rhat">Rhat</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="ESS">ESS</th>
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##   <tbody class="gt_table_body">
##     <tr><th id="stub_1_1" scope="row" class="gt_row gt_left gt_stub">(Intercept)</th>
## <td headers="stub_1_1 Estimate" class="gt_row gt_right">−8.60</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right">16.12</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right">−92.84</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right">14.39</td>
## <td headers="stub_1_1 Rhat" class="gt_row gt_right">1.0014934</td>
## <td headers="stub_1_1 ESS" class="gt_row gt_right">777.4442</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;">18.94</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right" style="font-weight: bold;">3.79</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">11.72</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">26.27</td>
## <td headers="stub_1_2 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.0021377</td>
## <td headers="stub_1_2 ESS" class="gt_row gt_right" style="font-weight: bold;">2509.9302</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">−0.10</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right">0.17</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right">−0.45</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right">0.22</td>
## <td headers="stub_1_3 Rhat" class="gt_row gt_right">0.9995754</td>
## <td headers="stub_1_3 ESS" class="gt_row gt_right">2680.1384</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">−0.23</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right">0.15</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">0.09</td>
## <td headers="stub_1_4 Rhat" class="gt_row gt_right">0.9996337</td>
## <td headers="stub_1_4 ESS" class="gt_row gt_right">2921.5877</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">Latitude</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">0.31</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">0.54</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−0.46</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">3.11</td>
## <td headers="stub_1_5 Rhat" class="gt_row gt_right">1.0014192</td>
## <td headers="stub_1_5 ESS" class="gt_row gt_right">781.1682</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;">−0.71</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;">−1.27</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−0.06</td>
## <td headers="stub_1_6 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.0005370</td>
## <td headers="stub_1_6 ESS" class="gt_row gt_right" style="font-weight: bold;">2872.2019</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;">−1.00</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.27</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−1.57</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−0.44</td>
## <td headers="stub_1_7 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.0010148</td>
## <td headers="stub_1_7 ESS" class="gt_row gt_right" style="font-weight: bold;">3115.6180</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:Latitude</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right" style="font-weight: bold;">−0.57</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.13</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−0.81</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−0.33</td>
## <td headers="stub_1_8 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.0020746</td>
## <td headers="stub_1_8 ESS" class="gt_row gt_right" style="font-weight: bold;">2530.6314</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;">0.08</td>
## <td headers="stub_1_9 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.45</td>
## <td headers="stub_1_9 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.74</td>
## <td headers="stub_1_9 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.0017090</td>
## <td headers="stub_1_9 ESS" class="gt_row gt_right" style="font-weight: bold;">2370.0330</td></tr>
##   </tbody>
##   
##   
## </table>
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## Warning: Dropping 'draws_df' class as required metadata was removed.

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##       <td colspan="9" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Live Biomass</td>
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##     <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">−8.60</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right">16.12</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right">−92.84</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right">14.39</td>
## <td headers="stub_1_1 R-hat" class="gt_row gt_right">1.003</td>
## <td headers="stub_1_1 Probability > 0" class="gt_row gt_right">0.234</td>
## <td headers="stub_1_1 Bulk ESS" class="gt_row gt_right">916</td>
## <td headers="stub_1_1 Tail ESS" class="gt_row gt_right">1,128</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_left gt_stub">Latitude</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right">0.31</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">0.54</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right">−0.46</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right">3.11</td>
## <td headers="stub_1_2 R-hat" class="gt_row gt_right">1.003</td>
## <td headers="stub_1_2 Probability > 0" class="gt_row gt_right">0.789</td>
## <td headers="stub_1_2 Bulk ESS" class="gt_row gt_right">919</td>
## <td headers="stub_1_2 Tail ESS" class="gt_row gt_right">1,207</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_left gt_stub">Season-Spring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right">−0.10</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right">0.17</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right">−0.45</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right">0.22</td>
## <td headers="stub_1_3 R-hat" class="gt_row gt_right">1.001</td>
## <td headers="stub_1_3 Probability > 0" class="gt_row gt_right">0.272</td>
## <td headers="stub_1_3 Bulk ESS" class="gt_row gt_right">2,688</td>
## <td headers="stub_1_3 Tail ESS" class="gt_row gt_right">2,891</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_left gt_stub">Season-Winter</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right">−0.23</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right">0.15</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">0.09</td>
## <td headers="stub_1_4 R-hat" class="gt_row gt_right">1.002</td>
## <td headers="stub_1_4 Probability > 0" class="gt_row gt_right">0.071</td>
## <td headers="stub_1_4 Bulk ESS" class="gt_row gt_right">2,866</td>
## <td headers="stub_1_4 Tail ESS" class="gt_row gt_right">2,294</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">Status-Invaded</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right" style="font-weight: bold;">18.94</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right" style="font-weight: bold;">3.79</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">11.72</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">26.27</td>
## <td headers="stub_1_5 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_5 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_5 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">2,511</td>
## <td headers="stub_1_5 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">2,308</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Latitude</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right" style="font-weight: bold;">−0.57</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.13</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−0.81</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−0.33</td>
## <td headers="stub_1_6 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_6 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">0.000</td>
## <td headers="stub_1_6 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">2,531</td>
## <td headers="stub_1_6 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">2,366</td></tr>
##     <tr><th id="stub_1_7" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Season-Spring</th>
## <td headers="stub_1_7 Estimate" class="gt_row gt_right" style="font-weight: bold;">−0.71</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;">−1.27</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−0.06</td>
## <td headers="stub_1_7 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_7 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">0.016</td>
## <td headers="stub_1_7 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">2,886</td>
## <td headers="stub_1_7 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">2,561</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Season-Winter</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right" style="font-weight: bold;">−1.00</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.27</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−1.57</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−0.44</td>
## <td headers="stub_1_8 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.003</td>
## <td headers="stub_1_8 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">0.000</td>
## <td headers="stub_1_8 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">3,076</td>
## <td headers="stub_1_8 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">2,585</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Conditional Effects Live Biomass

## Warning: The `size` argument of `element_line()` is deprecated as of ggplot2 3.4.0.
## ℹ Please use the `linewidth` argument instead.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.

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

Conditional Effects Live Biomass

GLMM Dead Fuel Biomass

Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: avg_dead_biomass ~ Status * Season + Status * Latitude + (1 | Site) 
##    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:
## ~Site (Number of levels: 3) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     0.87      1.11     0.01     3.98 1.00      698     1496
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                     -3.25     22.26   -63.86    30.31 1.00     1258
## StatusInvaded                 14.55      7.72    -0.22    29.81 1.00     1723
## SeasonSpring                   0.45      0.28    -0.10     1.00 1.00     2926
## SeasonWinter                   0.40      0.26    -0.07     0.92 1.00     3373
## Latitude                       0.12      0.74    -1.00     2.16 1.00     1262
## StatusInvaded:SeasonSpring    -0.26      0.45    -1.17     0.57 1.00     2551
## StatusInvaded:SeasonWinter     0.76      0.63    -0.53     1.94 1.00     2916
## StatusInvaded:Latitude        -0.42      0.25    -0.91     0.07 1.00     1754
##                            Tail_ESS
## Intercept                       881
## StatusInvaded                  2068
## SeasonSpring                   2826
## SeasonWinter                   2847
## Latitude                        920
## StatusInvaded:SeasonSpring     2636
## StatusInvaded:SeasonWinter     2601
## StatusInvaded:Latitude         2142
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     0.89      0.13     0.66     1.18 1.00     1976     2418
## nu        1.78      0.43     1.17     2.80 1.00     1928     1893
## 
## 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.

Estimated marginal means

## Season = Summer:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded     2.13      1.54      2.84
## 
## Season = Spring:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded     1.90      1.14      2.64
## 
## Season = Winter:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded     2.96      1.74      4.05
## 
## Point estimate displayed: median 
## HPD interval probability: 0.95

## Probability of Direction
## 
## contrast              | Season |   pd
## -------------------------------------
## Invaded - Non_Invaded | Summer | 100%
## Invaded - Non_Invaded | Spring | 100%
## Invaded - Non_Invaded | Winter | 100%

Dead Biomass Summary Table

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##   <thead>
##     <tr class="gt_heading">
##       <td colspan="7" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Dead Biomass</td>
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##     
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##       <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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##     <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">1.54</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right">8.39</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right">−63.86</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right">30.31</td>
## <td headers="stub_1_1 Rhat" class="gt_row gt_right">1.002556</td>
## <td headers="stub_1_1 ESS" class="gt_row gt_right">832.2882</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">14.31</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">7.87</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right">−0.22</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right">29.81</td>
## <td headers="stub_1_2 Rhat" class="gt_row gt_right">1.003467</td>
## <td headers="stub_1_2 ESS" class="gt_row gt_right">1671.3099</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">0.45</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">−0.10</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right">1.00</td>
## <td headers="stub_1_3 Rhat" class="gt_row gt_right">1.001080</td>
## <td headers="stub_1_3 ESS" class="gt_row gt_right">2929.0697</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">0.39</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right">0.25</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right">−0.07</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right">0.92</td>
## <td headers="stub_1_4 Rhat" class="gt_row gt_right">1.000792</td>
## <td headers="stub_1_4 ESS" class="gt_row gt_right">3233.5530</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">Latitude</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">−0.04</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">0.28</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−1.00</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">2.16</td>
## <td headers="stub_1_5 Rhat" class="gt_row gt_right">1.002403</td>
## <td headers="stub_1_5 ESS" class="gt_row gt_right">832.4961</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">−0.25</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">0.46</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right">−1.17</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right">0.57</td>
## <td headers="stub_1_6 Rhat" class="gt_row gt_right">1.002831</td>
## <td headers="stub_1_6 ESS" class="gt_row gt_right">2524.6427</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">0.79</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">0.63</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−0.53</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">1.000329</td>
## <td headers="stub_1_7 ESS" class="gt_row gt_right">2899.7907</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:Latitude</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right">−0.41</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right">0.26</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right">−0.91</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right">0.07</td>
## <td headers="stub_1_8 Rhat" class="gt_row gt_right">1.003268</td>
## <td headers="stub_1_8 ESS" class="gt_row gt_right">1693.6434</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;">0.88</td>
## <td headers="stub_1_9 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.13</td>
## <td headers="stub_1_9 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.66</td>
## <td headers="stub_1_9 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">1.18</td>
## <td headers="stub_1_9 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.002566</td>
## <td headers="stub_1_9 ESS" class="gt_row gt_right" style="font-weight: bold;">1972.7433</td></tr>
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## Warning: Dropping 'draws_df' class as required metadata was removed.

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##   <thead>
##     <tr class="gt_heading">
##       <td colspan="9" 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="R-hat">R-hat</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Probability-&gt;-0">Probability &gt; 0</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Bulk-ESS">Bulk ESS</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Tail-ESS">Tail 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">1.54</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right">8.39</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right">−63.86</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right">30.31</td>
## <td headers="stub_1_1 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_1 Probability > 0" class="gt_row gt_right">0.580</td>
## <td headers="stub_1_1 Bulk ESS" class="gt_row gt_right">1,250</td>
## <td headers="stub_1_1 Tail ESS" class="gt_row gt_right">871</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_left gt_stub">Latitude</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right">−0.04</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">0.28</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right">−1.00</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right">2.16</td>
## <td headers="stub_1_2 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_2 Probability > 0" class="gt_row gt_right">0.440</td>
## <td headers="stub_1_2 Bulk ESS" class="gt_row gt_right">1,254</td>
## <td headers="stub_1_2 Tail ESS" class="gt_row gt_right">908</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_left gt_stub">Season-Spring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right">0.45</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">−0.10</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right">1.00</td>
## <td headers="stub_1_3 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_3 Probability > 0" class="gt_row gt_right">0.948</td>
## <td headers="stub_1_3 Bulk ESS" class="gt_row gt_right">2,917</td>
## <td headers="stub_1_3 Tail ESS" class="gt_row gt_right">2,785</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_left gt_stub">Season-Winter</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right">0.39</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right">0.25</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right">−0.07</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right">0.92</td>
## <td headers="stub_1_4 R-hat" class="gt_row gt_right">1.001</td>
## <td headers="stub_1_4 Probability > 0" class="gt_row gt_right">0.944</td>
## <td headers="stub_1_4 Bulk ESS" class="gt_row gt_right">3,241</td>
## <td headers="stub_1_4 Tail ESS" class="gt_row gt_right">2,806</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">Status-Invaded</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">14.31</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">7.87</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−0.22</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">29.81</td>
## <td headers="stub_1_5 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_5 Probability > 0" class="gt_row gt_right">0.973</td>
## <td headers="stub_1_5 Bulk ESS" class="gt_row gt_right">1,702</td>
## <td headers="stub_1_5 Tail ESS" class="gt_row gt_right">2,039</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Latitude</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right">−0.41</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">0.26</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right">−0.91</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right">0.07</td>
## <td headers="stub_1_6 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_6 Probability > 0" class="gt_row gt_right">0.048</td>
## <td headers="stub_1_6 Bulk ESS" class="gt_row gt_right">1,725</td>
## <td headers="stub_1_6 Tail ESS" class="gt_row gt_right">2,119</td></tr>
##     <tr><th id="stub_1_7" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Season-Spring</th>
## <td headers="stub_1_7 Estimate" class="gt_row gt_right">−0.25</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">0.46</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−1.17</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">0.57</td>
## <td headers="stub_1_7 R-hat" class="gt_row gt_right">1.001</td>
## <td headers="stub_1_7 Probability > 0" class="gt_row gt_right">0.290</td>
## <td headers="stub_1_7 Bulk ESS" class="gt_row gt_right">2,542</td>
## <td headers="stub_1_7 Tail ESS" class="gt_row gt_right">2,615</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Season-Winter</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right">0.79</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right">0.63</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right">−0.53</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right">1.94</td>
## <td headers="stub_1_8 R-hat" class="gt_row gt_right">1.001</td>
## <td headers="stub_1_8 Probability > 0" class="gt_row gt_right">0.885</td>
## <td headers="stub_1_8 Bulk ESS" class="gt_row gt_right">2,859</td>
## <td headers="stub_1_8 Tail ESS" class="gt_row gt_right">2,584</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Conditional Effects Dead Biomass

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

GLMM Litter Fuel Biomass

Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: avg_litter_biomass ~ Status * Season + Status * Latitude + (1 | Site) 
##    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:
## ~Site (Number of levels: 3) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     3.04      2.57     0.39    10.16 1.00     1354     1618
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                     49.48     78.76   -46.69   279.32 1.00     1520
## StatusInvaded                 -7.89     14.24   -35.19    20.27 1.00     2368
## SeasonSpring                   1.05      0.97    -0.76     2.94 1.00     2846
## SeasonWinter                   0.88      0.83    -0.76     2.50 1.00     2911
## Latitude                      -1.47      2.63    -9.14     1.68 1.00     1531
## StatusInvaded:SeasonSpring     0.76      1.32    -1.84     3.31 1.00     3290
## StatusInvaded:SeasonWinter     0.58      1.19    -1.76     2.99 1.00     2553
## StatusInvaded:Latitude         0.22      0.47    -0.72     1.13 1.00     2377
##                            Tail_ESS
## Intercept                      1227
## StatusInvaded                  2174
## SeasonSpring                   2633
## SeasonWinter                   2262
## Latitude                       1216
## StatusInvaded:SeasonSpring     2859
## StatusInvaded:SeasonWinter     2825
## StatusInvaded:Latitude         2347
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     2.82      0.31     2.23     3.46 1.00     2225     2475
## nu        5.42      3.10     2.42    13.94 1.00     2222     2251
## 
## 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.

Estimated marginal means

## Season = Summer:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded   -1.267     -2.49     0.124
## 
## Season = Spring:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded   -0.482     -2.62     1.718
## 
## Season = Winter:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded   -0.698     -2.51     1.237
## 
## Point estimate displayed: median 
## HPD interval probability: 0.95

## Probability of Direction
## 
## contrast              | Season |     pd
## ---------------------------------------
## Invaded - Non_Invaded | Summer | 96.58%
## Invaded - Non_Invaded | Spring | 66.62%
## Invaded - Non_Invaded | Winter | 75.20%

Litter Biomass Summary Table

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##   <thead>
##     <tr class="gt_heading">
##       <td colspan="7" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Litter Biomass</td>
##     </tr>
##     
##     <tr class="gt_col_headings">
##       <th class="gt_col_heading gt_columns_bottom_border gt_left" rowspan="1" colspan="1" scope="col" id="a::stub"></th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Estimate">Estimate</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Est.-Error">Est. Error</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Lower)">95% CI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Upper)">95% CI (Upper)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Rhat">Rhat</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="ESS">ESS</th>
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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">26.97</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right">45.78</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right">−46.69</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right">279.32</td>
## <td headers="stub_1_1 Rhat" class="gt_row gt_right">1.0032814</td>
## <td headers="stub_1_1 ESS" class="gt_row gt_right">1091.930</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">−8.06</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">14.39</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right">−35.19</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right">20.27</td>
## <td headers="stub_1_2 Rhat" class="gt_row gt_right">1.0019745</td>
## <td headers="stub_1_2 ESS" class="gt_row gt_right">2366.410</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">1.03</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right">0.99</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right">−0.76</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right">2.94</td>
## <td headers="stub_1_3 Rhat" class="gt_row gt_right">0.9999701</td>
## <td headers="stub_1_3 ESS" class="gt_row gt_right">2798.744</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">0.88</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right">0.83</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right">−0.76</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right">2.50</td>
## <td headers="stub_1_4 Rhat" class="gt_row gt_right">1.0007266</td>
## <td headers="stub_1_4 ESS" class="gt_row gt_right">2917.368</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">Latitude</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">−0.71</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">1.53</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−9.14</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">1.68</td>
## <td headers="stub_1_5 Rhat" class="gt_row gt_right">1.0032462</td>
## <td headers="stub_1_5 ESS" class="gt_row gt_right">1101.083</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">0.80</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">1.33</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right">−1.84</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right">3.31</td>
## <td headers="stub_1_6 Rhat" class="gt_row gt_right">0.9996587</td>
## <td headers="stub_1_6 ESS" class="gt_row gt_right">3244.822</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">0.56</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">1.20</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−1.76</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">2.99</td>
## <td headers="stub_1_7 Rhat" class="gt_row gt_right">1.0001802</td>
## <td headers="stub_1_7 ESS" class="gt_row gt_right">2565.987</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:Latitude</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right">0.23</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right">0.48</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right">−0.72</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right">1.13</td>
## <td headers="stub_1_8 Rhat" class="gt_row gt_right">1.0020540</td>
## <td headers="stub_1_8 ESS" class="gt_row gt_right">2375.778</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;">2.81</td>
## <td headers="stub_1_9 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.31</td>
## <td headers="stub_1_9 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">2.23</td>
## <td headers="stub_1_9 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">3.46</td>
## <td headers="stub_1_9 Rhat" class="gt_row gt_right" style="font-weight: bold;">0.9997522</td>
## <td headers="stub_1_9 ESS" class="gt_row gt_right" style="font-weight: bold;">2154.381</td></tr>
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##   
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## </div>

## Warning: Dropping 'draws_df' class as required metadata was removed.

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##     <tr class="gt_heading">
##       <td colspan="9" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Litter Biomass</td>
##     </tr>
##     
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##       <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="R-hat">R-hat</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Probability-&gt;-0">Probability &gt; 0</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Bulk-ESS">Bulk ESS</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Tail-ESS">Tail 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">26.97</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right">45.78</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right">−46.69</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right">279.32</td>
## <td headers="stub_1_1 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_1 Probability > 0" class="gt_row gt_right">0.761</td>
## <td headers="stub_1_1 Bulk ESS" class="gt_row gt_right">1,508</td>
## <td headers="stub_1_1 Tail ESS" class="gt_row gt_right">1,233</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_left gt_stub">Latitude</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right">−0.71</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">1.53</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right">−9.14</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right">1.68</td>
## <td headers="stub_1_2 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_2 Probability > 0" class="gt_row gt_right">0.289</td>
## <td headers="stub_1_2 Bulk ESS" class="gt_row gt_right">1,519</td>
## <td headers="stub_1_2 Tail ESS" class="gt_row gt_right">1,223</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_left gt_stub">Season-Spring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right">1.03</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right">0.99</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right">−0.76</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right">2.94</td>
## <td headers="stub_1_3 R-hat" class="gt_row gt_right">1.001</td>
## <td headers="stub_1_3 Probability > 0" class="gt_row gt_right">0.860</td>
## <td headers="stub_1_3 Bulk ESS" class="gt_row gt_right">2,806</td>
## <td headers="stub_1_3 Tail ESS" class="gt_row gt_right">2,618</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_left gt_stub">Season-Winter</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right">0.88</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right">0.83</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right">−0.76</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right">2.50</td>
## <td headers="stub_1_4 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_4 Probability > 0" class="gt_row gt_right">0.854</td>
## <td headers="stub_1_4 Bulk ESS" class="gt_row gt_right">2,876</td>
## <td headers="stub_1_4 Tail ESS" class="gt_row gt_right">2,245</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">Status-Invaded</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">−8.06</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">14.39</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−35.19</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">20.27</td>
## <td headers="stub_1_5 R-hat" class="gt_row gt_right">1.001</td>
## <td headers="stub_1_5 Probability > 0" class="gt_row gt_right">0.293</td>
## <td headers="stub_1_5 Bulk ESS" class="gt_row gt_right">2,365</td>
## <td headers="stub_1_5 Tail ESS" class="gt_row gt_right">2,146</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Latitude</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right">0.23</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">0.48</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right">−0.72</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right">1.13</td>
## <td headers="stub_1_6 R-hat" class="gt_row gt_right">1.001</td>
## <td headers="stub_1_6 Probability > 0" class="gt_row gt_right">0.678</td>
## <td headers="stub_1_6 Bulk ESS" class="gt_row gt_right">2,373</td>
## <td headers="stub_1_6 Tail ESS" class="gt_row gt_right">2,330</td></tr>
##     <tr><th id="stub_1_7" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Season-Spring</th>
## <td headers="stub_1_7 Estimate" class="gt_row gt_right">0.80</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">1.33</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−1.84</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">3.31</td>
## <td headers="stub_1_7 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_7 Probability > 0" class="gt_row gt_right">0.717</td>
## <td headers="stub_1_7 Bulk ESS" class="gt_row gt_right">3,259</td>
## <td headers="stub_1_7 Tail ESS" class="gt_row gt_right">2,831</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Season-Winter</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right">0.56</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right">1.20</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right">−1.76</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right">2.99</td>
## <td headers="stub_1_8 R-hat" class="gt_row gt_right">1.002</td>
## <td headers="stub_1_8 Probability > 0" class="gt_row gt_right">0.694</td>
## <td headers="stub_1_8 Bulk ESS" class="gt_row gt_right">2,563</td>
## <td headers="stub_1_8 Tail ESS" class="gt_row gt_right">2,802</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Conditional Effects Litter Biomass

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

GLMM Live Moisture

Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: avg_live_moisture_content ~ Status * Season + Status * Latitude + (1 | Site) 
##    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:
## ~Site (Number of levels: 3) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)    17.80     19.62     0.42    69.77 1.00     1250     1505
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                    428.44    495.94  -405.82  1546.00 1.00     1465
## StatusInvaded               -209.64    277.02  -768.98   336.69 1.00     2196
## SeasonSpring                 -70.24     19.07  -108.07   -32.90 1.00     2780
## SeasonWinter                 -71.85     29.77  -129.88   -13.20 1.00     2434
## Latitude                      -8.79     16.54   -46.14    19.07 1.00     1473
## StatusInvaded:SeasonSpring    21.11     23.37   -26.51    66.56 1.00     2648
## StatusInvaded:SeasonWinter    41.45     32.51   -22.23   105.00 1.00     2395
## StatusInvaded:Latitude         6.56      9.25   -11.67    25.28 1.00     2208
##                            Tail_ESS
## Intercept                      1295
## StatusInvaded                  1937
## SeasonSpring                   2737
## SeasonWinter                   2342
## Latitude                       1292
## StatusInvaded:SeasonSpring     2585
## StatusInvaded:SeasonWinter     2445
## StatusInvaded:Latitude         1986
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma    44.31      4.32    35.55    52.53 1.00     2471     2039
## nu       15.23     11.61     3.50    47.06 1.00     2672     2290
## 
## 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()`).

Estimated marginal means

## Season = Summer:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded   -14.67     -36.4      7.71
## 
## Season = Spring:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded     6.71     -33.9     48.29
## 
## Season = Winter:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded    26.83     -31.6     87.24
## 
## Point estimate displayed: median 
## HPD interval probability: 0.95

## Probability of Direction
## 
## contrast              | Season |     pd
## ---------------------------------------
## Invaded - Non_Invaded | Summer | 90.60%
## Invaded - Non_Invaded | Spring | 62.32%
## Invaded - Non_Invaded | Winter | 81.38%

Live Moisture Summary Table

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##   <thead>
##     <tr class="gt_heading">
##       <td colspan="7" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Live 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>
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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">394.39</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right">352.33</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right">−405.82</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right">1,546.00</td>
## <td headers="stub_1_1 Rhat" class="gt_row gt_right">1.002165</td>
## <td headers="stub_1_1 ESS" class="gt_row gt_right">1284.083</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">−206.72</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">269.59</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right">−768.98</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right">336.69</td>
## <td headers="stub_1_2 Rhat" class="gt_row gt_right">1.001761</td>
## <td headers="stub_1_2 ESS" class="gt_row gt_right">2162.168</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;">−70.47</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right" style="font-weight: bold;">18.95</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−108.07</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−32.90</td>
## <td headers="stub_1_3 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.001157</td>
## <td headers="stub_1_3 ESS" class="gt_row gt_right" style="font-weight: bold;">2751.466</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;">−72.43</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right" style="font-weight: bold;">29.79</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−129.88</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−13.20</td>
## <td headers="stub_1_4 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.000480</td>
## <td headers="stub_1_4 ESS" class="gt_row gt_right" style="font-weight: bold;">2436.281</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">Latitude</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">−7.63</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">11.69</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−46.14</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">19.07</td>
## <td headers="stub_1_5 Rhat" class="gt_row gt_right">1.002074</td>
## <td headers="stub_1_5 ESS" class="gt_row gt_right">1290.689</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">21.53</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">23.62</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right">−26.51</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right">66.56</td>
## <td headers="stub_1_6 Rhat" class="gt_row gt_right">1.000587</td>
## <td headers="stub_1_6 ESS" class="gt_row gt_right">2607.986</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">42.08</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">32.17</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−22.23</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">105.00</td>
## <td headers="stub_1_7 Rhat" class="gt_row gt_right">1.001165</td>
## <td headers="stub_1_7 ESS" class="gt_row gt_right">2374.114</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:Latitude</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right">6.43</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right">8.96</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right">−11.67</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right">25.28</td>
## <td headers="stub_1_8 Rhat" class="gt_row gt_right">1.001680</td>
## <td headers="stub_1_8 ESS" class="gt_row gt_right">2177.388</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;">44.47</td>
## <td headers="stub_1_9 Est. Error" class="gt_row gt_right" style="font-weight: bold;">4.24</td>
## <td headers="stub_1_9 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">35.55</td>
## <td headers="stub_1_9 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">52.53</td>
## <td headers="stub_1_9 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.001032</td>
## <td headers="stub_1_9 ESS" class="gt_row gt_right" style="font-weight: bold;">2376.730</td></tr>
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## Warning: Dropping 'draws_df' class as required metadata was removed.

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##   <thead>
##     <tr class="gt_heading">
##       <td colspan="9" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Live 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="R-hat">R-hat</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Probability-&gt;-0">Probability &gt; 0</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Bulk-ESS">Bulk ESS</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Tail-ESS">Tail ESS</th>
##     </tr>
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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">394.39</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right">352.33</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right">−405.82</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right">1,546.00</td>
## <td headers="stub_1_1 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_1 Probability > 0" class="gt_row gt_right">0.874</td>
## <td headers="stub_1_1 Bulk ESS" class="gt_row gt_right">1,477</td>
## <td headers="stub_1_1 Tail ESS" class="gt_row gt_right">1,287</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_left gt_stub">Latitude</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right">−7.63</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">11.69</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right">−46.14</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right">19.07</td>
## <td headers="stub_1_2 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_2 Probability > 0" class="gt_row gt_right">0.248</td>
## <td headers="stub_1_2 Bulk ESS" class="gt_row gt_right">1,484</td>
## <td headers="stub_1_2 Tail ESS" class="gt_row gt_right">1,279</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_left gt_stub">Season-Spring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right" style="font-weight: bold;">−70.47</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right" style="font-weight: bold;">18.95</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−108.07</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−32.90</td>
## <td headers="stub_1_3 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.001</td>
## <td headers="stub_1_3 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">0.000</td>
## <td headers="stub_1_3 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">2,763</td>
## <td headers="stub_1_3 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">2,714</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_left gt_stub">Season-Winter</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right" style="font-weight: bold;">−72.43</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right" style="font-weight: bold;">29.79</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−129.88</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−13.20</td>
## <td headers="stub_1_4 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.001</td>
## <td headers="stub_1_4 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">0.009</td>
## <td headers="stub_1_4 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">2,414</td>
## <td headers="stub_1_4 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">2,324</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">Status-Invaded</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">−206.72</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">269.59</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−768.98</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">336.69</td>
## <td headers="stub_1_5 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_5 Probability > 0" class="gt_row gt_right">0.224</td>
## <td headers="stub_1_5 Bulk ESS" class="gt_row gt_right">2,197</td>
## <td headers="stub_1_5 Tail ESS" class="gt_row gt_right">1,917</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Latitude</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right">6.43</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">8.96</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right">−11.67</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right">25.28</td>
## <td headers="stub_1_6 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_6 Probability > 0" class="gt_row gt_right">0.758</td>
## <td headers="stub_1_6 Bulk ESS" class="gt_row gt_right">2,208</td>
## <td headers="stub_1_6 Tail ESS" class="gt_row gt_right">1,964</td></tr>
##     <tr><th id="stub_1_7" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Season-Spring</th>
## <td headers="stub_1_7 Estimate" class="gt_row gt_right">21.53</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">23.62</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−26.51</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">66.56</td>
## <td headers="stub_1_7 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_7 Probability > 0" class="gt_row gt_right">0.812</td>
## <td headers="stub_1_7 Bulk ESS" class="gt_row gt_right">2,617</td>
## <td headers="stub_1_7 Tail ESS" class="gt_row gt_right">2,557</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Season-Winter</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right">42.08</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right">32.17</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right">−22.23</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right">105.00</td>
## <td headers="stub_1_8 R-hat" class="gt_row gt_right">1.002</td>
## <td headers="stub_1_8 Probability > 0" class="gt_row gt_right">0.895</td>
## <td headers="stub_1_8 Bulk ESS" class="gt_row gt_right">2,354</td>
## <td headers="stub_1_8 Tail ESS" class="gt_row gt_right">2,390</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Conditional Effects Live Moisture

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

GLMM Dead Moisture

Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: avg_dead_moisture_content ~ Status * Season + Status * Latitude + (1 | Site) 
##    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:
## ~Site (Number of levels: 3) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     5.66      4.47     0.56    17.85 1.00     1314     1438
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                      0.85    120.89  -262.89   239.51 1.00     1947
## StatusInvaded                 17.75     43.56   -66.32   101.94 1.00     2719
## SeasonSpring                   0.44      3.08    -5.81     6.34 1.00     2146
## SeasonWinter                   1.50      3.16    -4.85     7.59 1.00     2160
## Latitude                       0.40      4.03    -7.64     9.17 1.00     1942
## StatusInvaded:SeasonSpring    -4.29      3.59   -11.26     2.78 1.00     1985
## StatusInvaded:SeasonWinter     0.38      3.92    -7.16     8.22 1.00     2217
## StatusInvaded:Latitude        -0.49      1.47    -3.35     2.33 1.00     2720
##                            Tail_ESS
## Intercept                      1580
## StatusInvaded                  2490
## SeasonSpring                   2103
## SeasonWinter                   2106
## Latitude                       1604
## StatusInvaded:SeasonSpring     2227
## StatusInvaded:SeasonWinter     2003
## StatusInvaded:Latitude         2412
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     5.92      0.88     4.39     7.76 1.00     2457     2123
## nu        1.23      0.18     1.01     1.67 1.00     2044     1447
## 
## 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()`).

Estimated marginal means

## Season = Summer:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded     3.26     -2.03      8.97
## 
## Season = Spring:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded    -1.05     -5.47      3.41
## 
## Season = Winter:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded     3.62     -2.18      8.97
## 
## Point estimate displayed: median 
## HPD interval probability: 0.95

## Probability of Direction
## 
## contrast              | Season |     pd
## ---------------------------------------
## Invaded - Non_Invaded | Summer | 88.25%
## Invaded - Non_Invaded | Spring | 68.80%
## Invaded - Non_Invaded | Winter | 90.00%

Dead Moisture Summary Table

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##   <thead>
##     <tr class="gt_heading">
##       <td colspan="7" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Dead Moisture</td>
##     </tr>
##     
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##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Estimate">Estimate</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Est.-Error">Est. Error</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Lower)">95% CI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-CI-(Upper)">95% CI (Upper)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Rhat">Rhat</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="ESS">ESS</th>
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##     <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">3.10</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right">85.20</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right">−262.89</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right">239.51</td>
## <td headers="stub_1_1 Rhat" class="gt_row gt_right">1.001024</td>
## <td headers="stub_1_1 ESS" class="gt_row gt_right">1790.865</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">17.78</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">42.59</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right">−66.32</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right">101.94</td>
## <td headers="stub_1_2 Rhat" class="gt_row gt_right">1.001127</td>
## <td headers="stub_1_2 ESS" class="gt_row gt_right">2687.409</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">0.52</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right">2.99</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right">−5.81</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right">6.34</td>
## <td headers="stub_1_3 Rhat" class="gt_row gt_right">1.000785</td>
## <td headers="stub_1_3 ESS" class="gt_row gt_right">2083.813</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">1.53</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right">3.05</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right">−4.85</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right">7.59</td>
## <td headers="stub_1_4 Rhat" class="gt_row gt_right">1.001537</td>
## <td headers="stub_1_4 ESS" class="gt_row gt_right">2060.177</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">Latitude</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">0.33</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">2.85</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−7.64</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">9.17</td>
## <td headers="stub_1_5 Rhat" class="gt_row gt_right">1.001037</td>
## <td headers="stub_1_5 ESS" class="gt_row gt_right">1788.408</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">−4.27</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">3.49</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right">−11.26</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right">2.78</td>
## <td headers="stub_1_6 Rhat" class="gt_row gt_right">1.001179</td>
## <td headers="stub_1_6 ESS" class="gt_row gt_right">1947.488</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">0.34</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">3.87</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−7.16</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">8.22</td>
## <td headers="stub_1_7 Rhat" class="gt_row gt_right">1.001372</td>
## <td headers="stub_1_7 ESS" class="gt_row gt_right">2160.194</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:Latitude</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right">−0.48</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right">1.43</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right">−3.35</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right">2.33</td>
## <td headers="stub_1_8 Rhat" class="gt_row gt_right">1.001059</td>
## <td headers="stub_1_8 ESS" class="gt_row gt_right">2688.841</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;">5.85</td>
## <td headers="stub_1_9 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.86</td>
## <td headers="stub_1_9 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">4.39</td>
## <td headers="stub_1_9 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">7.76</td>
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## <td headers="stub_1_9 ESS" class="gt_row gt_right" style="font-weight: bold;">2443.716</td></tr>
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## Warning: Dropping 'draws_df' class as required metadata was removed.

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##       <td colspan="9" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Dead Moisture</td>
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##     
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##       <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>
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##     <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">3.10</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right">85.20</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right">−262.89</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right">239.51</td>
## <td headers="stub_1_1 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_1 Probability > 0" class="gt_row gt_right">0.516</td>
## <td headers="stub_1_1 Bulk ESS" class="gt_row gt_right">1,922</td>
## <td headers="stub_1_1 Tail ESS" class="gt_row gt_right">1,565</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_left gt_stub">Latitude</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right">0.33</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">2.85</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right">−7.64</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right">9.17</td>
## <td headers="stub_1_2 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_2 Probability > 0" class="gt_row gt_right">0.545</td>
## <td headers="stub_1_2 Bulk ESS" class="gt_row gt_right">1,917</td>
## <td headers="stub_1_2 Tail ESS" class="gt_row gt_right">1,591</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_left gt_stub">Season-Spring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right">0.52</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right">2.99</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right">−5.81</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right">6.34</td>
## <td headers="stub_1_3 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_3 Probability > 0" class="gt_row gt_right">0.569</td>
## <td headers="stub_1_3 Bulk ESS" class="gt_row gt_right">2,117</td>
## <td headers="stub_1_3 Tail ESS" class="gt_row gt_right">2,080</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_left gt_stub">Season-Winter</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right">1.53</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right">3.05</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right">−4.85</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right">7.59</td>
## <td headers="stub_1_4 R-hat" class="gt_row gt_right">1.002</td>
## <td headers="stub_1_4 Probability > 0" class="gt_row gt_right">0.688</td>
## <td headers="stub_1_4 Bulk ESS" class="gt_row gt_right">2,107</td>
## <td headers="stub_1_4 Tail ESS" class="gt_row gt_right">2,095</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">Status-Invaded</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">17.78</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">42.59</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−66.32</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">101.94</td>
## <td headers="stub_1_5 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_5 Probability > 0" class="gt_row gt_right">0.664</td>
## <td headers="stub_1_5 Bulk ESS" class="gt_row gt_right">2,684</td>
## <td headers="stub_1_5 Tail ESS" class="gt_row gt_right">2,474</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Latitude</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right">−0.48</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">1.43</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right">−3.35</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right">2.33</td>
## <td headers="stub_1_6 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_6 Probability > 0" class="gt_row gt_right">0.363</td>
## <td headers="stub_1_6 Bulk ESS" class="gt_row gt_right">2,684</td>
## <td headers="stub_1_6 Tail ESS" class="gt_row gt_right">2,397</td></tr>
##     <tr><th id="stub_1_7" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Season-Spring</th>
## <td headers="stub_1_7 Estimate" class="gt_row gt_right">−4.27</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">3.49</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−11.26</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">2.78</td>
## <td headers="stub_1_7 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_7 Probability > 0" class="gt_row gt_right">0.112</td>
## <td headers="stub_1_7 Bulk ESS" class="gt_row gt_right">1,964</td>
## <td headers="stub_1_7 Tail ESS" class="gt_row gt_right">2,209</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Season-Winter</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right">0.34</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right">3.87</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right">−7.16</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right">8.22</td>
## <td headers="stub_1_8 R-hat" class="gt_row gt_right">1.001</td>
## <td headers="stub_1_8 Probability > 0" class="gt_row gt_right">0.532</td>
## <td headers="stub_1_8 Bulk ESS" class="gt_row gt_right">2,177</td>
## <td headers="stub_1_8 Tail ESS" class="gt_row gt_right">1,985</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Conditional Effects Dead Moisture

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

GLMM Litter Moisture

Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: avg_litter_moisture_content ~ Status * Season + Status * Latitude + (1 | Site) 
##    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:
## ~Site (Number of levels: 3) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     7.54      7.93     0.21    29.45 1.00     1163     1943
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                    -13.89    196.21  -332.66   513.00 1.00     1723
## StatusInvaded                 40.58     81.63  -115.88   200.37 1.00     2007
## SeasonSpring                  -8.78      5.00   -19.35     0.39 1.00     1763
## SeasonWinter                  15.69      6.50     2.94    28.24 1.00     2278
## Latitude                       1.19      6.56   -16.41    11.77 1.00     1706
## StatusInvaded:SeasonSpring    -0.12      6.14   -11.86    12.36 1.00     2228
## StatusInvaded:SeasonWinter    -8.65      8.37   -24.30     8.47 1.00     2178
## StatusInvaded:Latitude        -1.38      2.74    -6.77     3.86 1.00     1980
##                            Tail_ESS
## Intercept                      1374
## StatusInvaded                  2001
## SeasonSpring                   2026
## SeasonWinter                   2248
## Latitude                       1448
## StatusInvaded:SeasonSpring     2450
## StatusInvaded:SeasonWinter     2142
## StatusInvaded:Latitude         2044
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma    14.63      1.91    11.10    18.65 1.00     1290      619
## nu        2.38      0.69     1.43     4.01 1.00     1366      611
## 
## 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.

Estimated marginal means

## Season = Summer:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded   -0.285     -8.61      7.46
## 
## Season = Spring:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded   -0.547     -9.21      8.73
## 
## Season = Winter:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded   -9.133    -23.15      4.56
## 
## Point estimate displayed: median 
## HPD interval probability: 0.95

## Probability of Direction
## 
## contrast              | Season |     pd
## ---------------------------------------
## Invaded - Non_Invaded | Summer | 52.75%
## Invaded - Non_Invaded | Spring | 54.85%
## Invaded - Non_Invaded | Winter | 89.65%

Litter Moisture Summary Table

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##   <thead>
##     <tr class="gt_heading">
##       <td colspan="7" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Litter 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>
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##     <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">−37.82</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right">115.31</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right">−332.66</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right">513.00</td>
## <td headers="stub_1_1 Rhat" class="gt_row gt_right">1.0024252</td>
## <td headers="stub_1_1 ESS" class="gt_row gt_right">1315.923</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">40.27</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">80.71</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right">−115.88</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right">200.37</td>
## <td headers="stub_1_2 Rhat" class="gt_row gt_right">0.9995060</td>
## <td headers="stub_1_2 ESS" class="gt_row gt_right">1991.483</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">−8.69</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right">4.93</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right">−19.35</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right">0.39</td>
## <td headers="stub_1_3 Rhat" class="gt_row gt_right">1.0019693</td>
## <td headers="stub_1_3 ESS" class="gt_row gt_right">1745.284</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;">15.92</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right" style="font-weight: bold;">6.59</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">2.94</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">28.24</td>
## <td headers="stub_1_4 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.0017080</td>
## <td headers="stub_1_4 ESS" class="gt_row gt_right" style="font-weight: bold;">2258.495</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">Latitude</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">1.97</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">3.90</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−16.41</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">11.77</td>
## <td headers="stub_1_5 Rhat" class="gt_row gt_right">1.0024118</td>
## <td headers="stub_1_5 ESS" class="gt_row gt_right">1309.367</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">−0.20</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">6.06</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right">−11.86</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right">12.36</td>
## <td headers="stub_1_6 Rhat" class="gt_row gt_right">1.0017241</td>
## <td headers="stub_1_6 ESS" class="gt_row gt_right">2199.849</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">−8.96</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">8.28</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−24.30</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">8.47</td>
## <td headers="stub_1_7 Rhat" class="gt_row gt_right">1.0014303</td>
## <td headers="stub_1_7 ESS" class="gt_row gt_right">2139.033</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:Latitude</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right">−1.36</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right">2.69</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right">−6.77</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right">3.86</td>
## <td headers="stub_1_8 Rhat" class="gt_row gt_right">0.9994904</td>
## <td headers="stub_1_8 ESS" class="gt_row gt_right">1967.180</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;">14.59</td>
## <td headers="stub_1_9 Est. Error" class="gt_row gt_right" style="font-weight: bold;">1.83</td>
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## <td headers="stub_1_9 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">18.65</td>
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## <td headers="stub_1_9 ESS" class="gt_row gt_right" style="font-weight: bold;">1313.493</td></tr>
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## </div>

## Warning: Dropping 'draws_df' class as required metadata was removed.

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##   <table class="gt_table" data-quarto-disable-processing="false" data-quarto-bootstrap="false">
##   <thead>
##     <tr class="gt_heading">
##       <td colspan="9" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Litter 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="R-hat">R-hat</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Probability-&gt;-0">Probability &gt; 0</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Bulk-ESS">Bulk ESS</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Tail-ESS">Tail 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">−37.82</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right">115.31</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right">−332.66</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right">513.00</td>
## <td headers="stub_1_1 R-hat" class="gt_row gt_right">1.001</td>
## <td headers="stub_1_1 Probability > 0" class="gt_row gt_right">0.365</td>
## <td headers="stub_1_1 Bulk ESS" class="gt_row gt_right">1,684</td>
## <td headers="stub_1_1 Tail ESS" class="gt_row gt_right">1,253</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_left gt_stub">Latitude</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right">1.97</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">3.90</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right">−16.41</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right">11.77</td>
## <td headers="stub_1_2 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_2 Probability > 0" class="gt_row gt_right">0.697</td>
## <td headers="stub_1_2 Bulk ESS" class="gt_row gt_right">1,669</td>
## <td headers="stub_1_2 Tail ESS" class="gt_row gt_right">1,336</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_left gt_stub">Season-Spring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right">−8.69</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right">4.93</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right">−19.35</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right">0.39</td>
## <td headers="stub_1_3 R-hat" class="gt_row gt_right">1.001</td>
## <td headers="stub_1_3 Probability > 0" class="gt_row gt_right">0.029</td>
## <td headers="stub_1_3 Bulk ESS" class="gt_row gt_right">1,711</td>
## <td headers="stub_1_3 Tail ESS" class="gt_row gt_right">1,998</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_left gt_stub">Season-Winter</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right" style="font-weight: bold;">15.92</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right" style="font-weight: bold;">6.59</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">2.94</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">28.24</td>
## <td headers="stub_1_4 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.002</td>
## <td headers="stub_1_4 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">0.990</td>
## <td headers="stub_1_4 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">2,268</td>
## <td headers="stub_1_4 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">2,196</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">Status-Invaded</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">40.27</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">80.71</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−115.88</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">200.37</td>
## <td headers="stub_1_5 R-hat" class="gt_row gt_right">1.001</td>
## <td headers="stub_1_5 Probability > 0" class="gt_row gt_right">0.691</td>
## <td headers="stub_1_5 Bulk ESS" class="gt_row gt_right">1,981</td>
## <td headers="stub_1_5 Tail ESS" class="gt_row gt_right">1,990</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Latitude</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right">−1.36</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">2.69</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right">−6.77</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right">3.86</td>
## <td headers="stub_1_6 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_6 Probability > 0" class="gt_row gt_right">0.309</td>
## <td headers="stub_1_6 Bulk ESS" class="gt_row gt_right">1,955</td>
## <td headers="stub_1_6 Tail ESS" class="gt_row gt_right">2,034</td></tr>
##     <tr><th id="stub_1_7" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Season-Spring</th>
## <td headers="stub_1_7 Estimate" class="gt_row gt_right">−0.20</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">6.06</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−11.86</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">12.36</td>
## <td headers="stub_1_7 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_7 Probability > 0" class="gt_row gt_right">0.487</td>
## <td headers="stub_1_7 Bulk ESS" class="gt_row gt_right">2,174</td>
## <td headers="stub_1_7 Tail ESS" class="gt_row gt_right">2,426</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Season-Winter</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right">−8.96</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right">8.28</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right">−24.30</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right">8.47</td>
## <td headers="stub_1_8 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_8 Probability > 0" class="gt_row gt_right">0.148</td>
## <td headers="stub_1_8 Bulk ESS" class="gt_row gt_right">2,164</td>
## <td headers="stub_1_8 Tail ESS" class="gt_row gt_right">2,113</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Conditional Effects Litter Moisture

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

GLMM Soil Moisture

Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: avg_soil_moisture ~ Status * Season + Status * Latitude + (1 | Site) 
##    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:
## ~Site (Number of levels: 3) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     2.78      2.97     0.09    10.51 1.01      751     1019
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                    -45.40     74.31  -159.29   169.10 1.01     1338
## StatusInvaded                  8.27     21.05   -30.63    50.74 1.00     2288
## SeasonSpring                  -0.65      1.20    -2.97     1.72 1.00     2678
## SeasonWinter                   2.03      1.01     0.06     4.06 1.00     3225
## Latitude                       1.75      2.48    -5.53     5.54 1.01     1332
## StatusInvaded:SeasonSpring    -2.73      1.63    -6.00     0.44 1.00     2752
## StatusInvaded:SeasonWinter    -1.81      1.57    -4.95     1.28 1.00     3227
## StatusInvaded:Latitude        -0.20      0.70    -1.61     1.09 1.00     2307
##                            Tail_ESS
## Intercept                       673
## StatusInvaded                  1978
## SeasonSpring                   2715
## SeasonWinter                   2852
## Latitude                        669
## StatusInvaded:SeasonSpring     2533
## StatusInvaded:SeasonWinter     2502
## StatusInvaded:Latitude         2007
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     3.23      0.35     2.58     3.97 1.00     3132     2890
## nu        2.02      0.38     1.41     2.88 1.00     3192     1946
## 
## 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.

Estimated marginal means

## Season = Summer:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded    2.201     0.284      4.09
## 
## Season = Spring:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded   -0.503    -3.094      2.16
## 
## Season = Winter:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded    0.429    -1.880      2.90
## 
## Point estimate displayed: median 
## HPD interval probability: 0.95

## Probability of Direction
## 
## contrast              | Season |     pd
## ---------------------------------------
## Invaded - Non_Invaded | Summer | 99.08%
## Invaded - Non_Invaded | Spring | 63.65%
## Invaded - Non_Invaded | Winter | 63.82%

Soil Moisture Summary Table

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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">−58.68</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right">35.33</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right">−159.29</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right">169.10</td>
## <td headers="stub_1_1 Rhat" class="gt_row gt_right">1.009588</td>
## <td headers="stub_1_1 ESS" class="gt_row gt_right">700.8705</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">7.74</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">21.56</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right">−30.63</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right">50.74</td>
## <td headers="stub_1_2 Rhat" class="gt_row gt_right">1.000931</td>
## <td headers="stub_1_2 ESS" class="gt_row gt_right">2276.0326</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">−0.65</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right">1.18</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right">−2.97</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right">1.72</td>
## <td headers="stub_1_3 Rhat" class="gt_row gt_right">1.000270</td>
## <td headers="stub_1_3 ESS" class="gt_row gt_right">2641.4749</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;">2.01</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.98</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.06</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">4.06</td>
## <td headers="stub_1_4 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.000543</td>
## <td headers="stub_1_4 ESS" class="gt_row gt_right" style="font-weight: bold;">3185.7552</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">Latitude</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">2.18</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">1.18</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−5.53</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">5.54</td>
## <td headers="stub_1_5 Rhat" class="gt_row gt_right">1.009669</td>
## <td headers="stub_1_5 ESS" class="gt_row gt_right">695.5331</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">−2.73</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">1.64</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right">−6.00</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right">0.44</td>
## <td headers="stub_1_6 Rhat" class="gt_row gt_right">1.000009</td>
## <td headers="stub_1_6 ESS" class="gt_row gt_right">2727.1829</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">−1.77</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">1.52</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−4.95</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">1.28</td>
## <td headers="stub_1_7 Rhat" class="gt_row gt_right">1.001557</td>
## <td headers="stub_1_7 ESS" class="gt_row gt_right">3194.9224</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:Latitude</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right">−0.18</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right">0.72</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right">−1.61</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right">1.09</td>
## <td headers="stub_1_8 Rhat" class="gt_row gt_right">1.000913</td>
## <td headers="stub_1_8 ESS" class="gt_row gt_right">2299.4095</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;">3.22</td>
## <td headers="stub_1_9 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.34</td>
## <td headers="stub_1_9 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">2.58</td>
## <td headers="stub_1_9 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">3.97</td>
## <td headers="stub_1_9 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.000459</td>
## <td headers="stub_1_9 ESS" class="gt_row gt_right" style="font-weight: bold;">3117.8818</td></tr>
##   </tbody>
##   
##   
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##   <table class="gt_table" data-quarto-disable-processing="false" data-quarto-bootstrap="false">
##   <thead>
##     <tr class="gt_heading">
##       <td colspan="9" 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="R-hat">R-hat</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Probability-&gt;-0">Probability &gt; 0</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Bulk-ESS">Bulk ESS</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Tail-ESS">Tail 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">−58.68</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right">35.33</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right">−159.29</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right">169.10</td>
## <td headers="stub_1_1 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_1 Probability > 0" class="gt_row gt_right">0.150</td>
## <td headers="stub_1_1 Bulk ESS" class="gt_row gt_right">1,336</td>
## <td headers="stub_1_1 Tail ESS" class="gt_row gt_right">683</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_left gt_stub">Latitude</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right">2.18</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">1.18</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right">−5.53</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right">5.54</td>
## <td headers="stub_1_2 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_2 Probability > 0" class="gt_row gt_right">0.868</td>
## <td headers="stub_1_2 Bulk ESS" class="gt_row gt_right">1,330</td>
## <td headers="stub_1_2 Tail ESS" class="gt_row gt_right">679</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_left gt_stub">Season-Spring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right">−0.65</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right">1.18</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right">−2.97</td>
## <td headers="stub_1_3 95% CI (Upper)" class="gt_row gt_right">1.72</td>
## <td headers="stub_1_3 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_3 Probability > 0" class="gt_row gt_right">0.294</td>
## <td headers="stub_1_3 Bulk ESS" class="gt_row gt_right">2,635</td>
## <td headers="stub_1_3 Tail ESS" class="gt_row gt_right">2,660</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_left gt_stub">Season-Winter</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right" style="font-weight: bold;">2.01</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.98</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.06</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">4.06</td>
## <td headers="stub_1_4 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_4 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">0.978</td>
## <td headers="stub_1_4 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">3,197</td>
## <td headers="stub_1_4 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">2,814</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">Status-Invaded</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">7.74</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">21.56</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−30.63</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">50.74</td>
## <td headers="stub_1_5 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_5 Probability > 0" class="gt_row gt_right">0.639</td>
## <td headers="stub_1_5 Bulk ESS" class="gt_row gt_right">2,272</td>
## <td headers="stub_1_5 Tail ESS" class="gt_row gt_right">1,962</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Latitude</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right">−0.18</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">0.72</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right">−1.61</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right">1.09</td>
## <td headers="stub_1_6 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_6 Probability > 0" class="gt_row gt_right">0.396</td>
## <td headers="stub_1_6 Bulk ESS" class="gt_row gt_right">2,290</td>
## <td headers="stub_1_6 Tail ESS" class="gt_row gt_right">1,992</td></tr>
##     <tr><th id="stub_1_7" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Season-Spring</th>
## <td headers="stub_1_7 Estimate" class="gt_row gt_right">−2.73</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">1.64</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−6.00</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">0.44</td>
## <td headers="stub_1_7 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_7 Probability > 0" class="gt_row gt_right">0.046</td>
## <td headers="stub_1_7 Bulk ESS" class="gt_row gt_right">2,700</td>
## <td headers="stub_1_7 Tail ESS" class="gt_row gt_right">2,506</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Season-Winter</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right">−1.77</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right">1.52</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right">−4.95</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right">1.28</td>
## <td headers="stub_1_8 R-hat" class="gt_row gt_right">1.001</td>
## <td headers="stub_1_8 Probability > 0" class="gt_row gt_right">0.117</td>
## <td headers="stub_1_8 Bulk ESS" class="gt_row gt_right">3,191</td>
## <td headers="stub_1_8 Tail ESS" class="gt_row gt_right">2,469</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Conditional Effects Soil Moisture

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

GLMM Veg Height

Model Comparison

## Warning: There were 1 divergent transitions after warmup. Increasing
## adapt_delta above 0.8 may help. See
## http://mc-stan.org/misc/warnings.html#divergent-transitions-after-warmup

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: avg_height ~ Status * Season + Status * Latitude + (1 | Site) 
##    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:
## ~Site (Number of levels: 3) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     0.22      0.27     0.00     1.03 1.01      522     1235
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                     -0.31      3.98   -11.53     6.67 1.01      966
## StatusInvaded                  3.76      0.72     2.36     5.16 1.00     2205
## SeasonSpring                   0.09      0.04     0.01     0.18 1.00     2130
## SeasonWinter                  -0.02      0.04    -0.10     0.06 1.00     2651
## Latitude                       0.02      0.13    -0.21     0.39 1.01      973
## StatusInvaded:SeasonSpring    -0.16      0.06    -0.27    -0.04 1.00     1860
## StatusInvaded:SeasonWinter     0.01      0.06    -0.10     0.12 1.00     2440
## StatusInvaded:Latitude        -0.11      0.02    -0.15    -0.06 1.00     2228
##                            Tail_ESS
## Intercept                       573
## StatusInvaded                  1865
## SeasonSpring                   2321
## SeasonWinter                   2752
## Latitude                        580
## StatusInvaded:SeasonSpring     2266
## StatusInvaded:SeasonWinter     2893
## StatusInvaded:Latitude         1806
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     0.14      0.01     0.11     0.17 1.00     2221     2388
## nu        4.97      2.15     2.50    10.71 1.00     2461     2740
## 
## 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()`).

Estimated marginal means

## Season = Summer:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded    0.587     0.523     0.652
## 
## Season = Spring:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded    0.429     0.331     0.524
## 
## Season = Winter:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded    0.594     0.504     0.684
## 
## Point estimate displayed: median 
## HPD interval probability: 0.95

## Probability of Direction
## 
## contrast              | Season |   pd
## -------------------------------------
## Invaded - Non_Invaded | Summer | 100%
## Invaded - Non_Invaded | Spring | 100%
## Invaded - Non_Invaded | Winter | 100%

Veg Height Summary Table

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##   <thead>
##     <tr class="gt_heading">
##       <td colspan="7" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for 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>
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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">0.49</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right">1.78</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right">−11.53</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right">6.67</td>
## <td headers="stub_1_1 Rhat" class="gt_row gt_right">1.0042310</td>
## <td headers="stub_1_1 ESS" class="gt_row gt_right">682.2536</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;">3.75</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.73</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">2.36</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">5.16</td>
## <td headers="stub_1_2 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.0003342</td>
## <td headers="stub_1_2 ESS" class="gt_row gt_right" style="font-weight: bold;">2192.9793</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;">0.04</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.01</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;">1.0006775</td>
## <td headers="stub_1_3 ESS" class="gt_row gt_right" style="font-weight: bold;">2080.2349</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">−0.02</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right">0.04</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right">−0.10</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right">0.06</td>
## <td headers="stub_1_4 Rhat" class="gt_row gt_right">0.9994389</td>
## <td headers="stub_1_4 ESS" class="gt_row gt_right">2584.9810</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">Latitude</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">−0.01</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">0.06</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right">−0.21</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right">0.39</td>
## <td headers="stub_1_5 Rhat" class="gt_row gt_right">1.0039826</td>
## <td headers="stub_1_5 ESS" class="gt_row gt_right">689.9994</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;">−0.16</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.06</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−0.27</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;">1.0009861</td>
## <td headers="stub_1_6 ESS" class="gt_row gt_right" style="font-weight: bold;">1806.0919</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">0.01</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right">0.06</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right">−0.10</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right">0.12</td>
## <td headers="stub_1_7 Rhat" class="gt_row gt_right">0.9993913</td>
## <td headers="stub_1_7 ESS" class="gt_row gt_right">2414.2869</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">StatusInvaded:Latitude</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right" style="font-weight: bold;">−0.11</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;">−0.15</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−0.06</td>
## <td headers="stub_1_8 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.0004225</td>
## <td headers="stub_1_8 ESS" class="gt_row gt_right" style="font-weight: bold;">2212.0536</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;">0.14</td>
## <td headers="stub_1_9 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.01</td>
## <td headers="stub_1_9 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.11</td>
## <td headers="stub_1_9 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.17</td>
## <td headers="stub_1_9 Rhat" class="gt_row gt_right" style="font-weight: bold;">1.0011631</td>
## <td headers="stub_1_9 ESS" class="gt_row gt_right" style="font-weight: bold;">2177.4374</td></tr>
##   </tbody>
##   
##   
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## Warning: Dropping 'draws_df' class as required metadata was removed.

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##       <td colspan="9" 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="R-hat">R-hat</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Probability-&gt;-0">Probability &gt; 0</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Bulk-ESS">Bulk ESS</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="Tail-ESS">Tail 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">0.49</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right">1.78</td>
## <td headers="stub_1_1 95% CI (Lower)" class="gt_row gt_right">−11.53</td>
## <td headers="stub_1_1 95% CI (Upper)" class="gt_row gt_right">6.67</td>
## <td headers="stub_1_1 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_1 Probability > 0" class="gt_row gt_right">0.615</td>
## <td headers="stub_1_1 Bulk ESS" class="gt_row gt_right">965</td>
## <td headers="stub_1_1 Tail ESS" class="gt_row gt_right">573</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_left gt_stub">Latitude</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right">−0.01</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">0.06</td>
## <td headers="stub_1_2 95% CI (Lower)" class="gt_row gt_right">−0.21</td>
## <td headers="stub_1_2 95% CI (Upper)" class="gt_row gt_right">0.39</td>
## <td headers="stub_1_2 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_2 Probability > 0" class="gt_row gt_right">0.439</td>
## <td headers="stub_1_2 Bulk ESS" class="gt_row gt_right">970</td>
## <td headers="stub_1_2 Tail ESS" class="gt_row gt_right">581</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_left gt_stub">Season-Spring</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;">0.04</td>
## <td headers="stub_1_3 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.01</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 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_3 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">0.981</td>
## <td headers="stub_1_3 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">2,095</td>
## <td headers="stub_1_3 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">2,304</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_left gt_stub">Season-Winter</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right">−0.02</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right">0.04</td>
## <td headers="stub_1_4 95% CI (Lower)" class="gt_row gt_right">−0.10</td>
## <td headers="stub_1_4 95% CI (Upper)" class="gt_row gt_right">0.06</td>
## <td headers="stub_1_4 R-hat" class="gt_row gt_right">1.002</td>
## <td headers="stub_1_4 Probability > 0" class="gt_row gt_right">0.304</td>
## <td headers="stub_1_4 Bulk ESS" class="gt_row gt_right">2,562</td>
## <td headers="stub_1_4 Tail ESS" class="gt_row gt_right">2,731</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_left gt_stub">Status-Invaded</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right" style="font-weight: bold;">3.75</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.73</td>
## <td headers="stub_1_5 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">2.36</td>
## <td headers="stub_1_5 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">5.16</td>
## <td headers="stub_1_5 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_5 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_5 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">2,183</td>
## <td headers="stub_1_5 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">1,826</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Latitude</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right" style="font-weight: bold;">−0.11</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.02</td>
## <td headers="stub_1_6 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−0.15</td>
## <td headers="stub_1_6 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−0.06</td>
## <td headers="stub_1_6 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_6 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">0.000</td>
## <td headers="stub_1_6 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">2,208</td>
## <td headers="stub_1_6 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">1,780</td></tr>
##     <tr><th id="stub_1_7" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Season-Spring</th>
## <td headers="stub_1_7 Estimate" class="gt_row gt_right" style="font-weight: bold;">−0.16</td>
## <td headers="stub_1_7 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.06</td>
## <td headers="stub_1_7 95% CI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−0.27</td>
## <td headers="stub_1_7 95% CI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−0.04</td>
## <td headers="stub_1_7 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_7 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">0.005</td>
## <td headers="stub_1_7 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">1,859</td>
## <td headers="stub_1_7 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">2,208</td></tr>
##     <tr><th id="stub_1_8" scope="row" class="gt_row gt_left gt_stub">Status-Invaded × Season-Winter</th>
## <td headers="stub_1_8 Estimate" class="gt_row gt_right">0.01</td>
## <td headers="stub_1_8 Est. Error" class="gt_row gt_right">0.06</td>
## <td headers="stub_1_8 95% CI (Lower)" class="gt_row gt_right">−0.10</td>
## <td headers="stub_1_8 95% CI (Upper)" class="gt_row gt_right">0.12</td>
## <td headers="stub_1_8 R-hat" class="gt_row gt_right">1.000</td>
## <td headers="stub_1_8 Probability > 0" class="gt_row gt_right">0.546</td>
## <td headers="stub_1_8 Bulk ESS" class="gt_row gt_right">2,406</td>
## <td headers="stub_1_8 Tail ESS" class="gt_row gt_right">2,838</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Conditional Effects Veg Height

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

## Warning in max(ids, na.rm = TRUE): no non-missing arguments to max; returning
## -Inf