Fire Behavior Comparison

GLMM Surface Rate of Spread

Rate of Spread Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: S_ROS ~ Status * Season 
##    Data: fb (Number of observations: 4374) 
##   Draws: 4 chains, each with iter = 4000; warmup = 1000; thin = 1;
##          total post-warmup draws = 12000
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                      1.97      0.06     1.86     2.09 1.00     6625
## StatusInvaded                  1.14      0.09     0.97     1.31 1.00     5760
## SeasonSpring                   2.24      0.09     2.06     2.41 1.00     7000
## SeasonWinter                   0.91      0.09     0.73     1.09 1.00     6092
## StatusInvaded:SeasonSpring     1.45      0.15     1.17     1.74 1.00     5991
## StatusInvaded:SeasonWinter     0.67      0.13     0.41     0.93 1.00     5650
##                            Tail_ESS
## Intercept                      7684
## StatusInvaded                  7134
## SeasonSpring                   8055
## SeasonWinter                   7658
## StatusInvaded:SeasonSpring     6771
## StatusInvaded:SeasonWinter     6888
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.61      0.03     1.55     1.68 1.00     6468     7614
## nu        8.21      1.13     6.39    10.77 1.00     6000     7103
## 
## 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.

Surface Rate of Spread Table

## 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 Surface Rate of Spread</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%-HPDI-(Lower)">95% HPDI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-HPDI-(Upper)">95% HPDI (Upper)</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>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="R-hat">R-hat</th>
##     </tr>
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##   <tbody class="gt_table_body">
##     <tr><th id="stub_1_1" scope="row" class="gt_row gt_center gt_stub">Intercept</th>
## <td headers="stub_1_1 Estimate" class="gt_row gt_right" style="font-weight: bold;">1.97</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.06</td>
## <td headers="stub_1_1 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">1.86</td>
## <td headers="stub_1_1 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">2.09</td>
## <td headers="stub_1_1 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_1 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">6,612</td>
## <td headers="stub_1_1 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">7,658</td>
## <td headers="stub_1_1 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_center gt_stub">Season-Winter</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.91</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.09</td>
## <td headers="stub_1_2 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.73</td>
## <td headers="stub_1_2 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">1.09</td>
## <td headers="stub_1_2 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_2 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">6,084</td>
## <td headers="stub_1_2 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">7,635</td>
## <td headers="stub_1_2 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_center gt_stub">SeasonSpring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right" style="font-weight: bold;">2.24</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.09</td>
## <td headers="stub_1_3 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">2.07</td>
## <td headers="stub_1_3 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">2.41</td>
## <td headers="stub_1_3 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_3 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">6,981</td>
## <td headers="stub_1_3 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">8,028</td>
## <td headers="stub_1_3 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_center gt_stub">Status-Invaded</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right" style="font-weight: bold;">1.14</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.09</td>
## <td headers="stub_1_4 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.97</td>
## <td headers="stub_1_4 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">1.32</td>
## <td headers="stub_1_4 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_4 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">5,742</td>
## <td headers="stub_1_4 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">7,103</td>
## <td headers="stub_1_4 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_center gt_stub">Status-Invaded x Season-Winter</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.67</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.13</td>
## <td headers="stub_1_5 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.41</td>
## <td headers="stub_1_5 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.93</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;">5,632</td>
## <td headers="stub_1_5 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">6,865</td>
## <td headers="stub_1_5 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_center gt_stub">Status-Invaded x SeasonSpring</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right" style="font-weight: bold;">1.45</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.14</td>
## <td headers="stub_1_6 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">1.16</td>
## <td headers="stub_1_6 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">1.73</td>
## <td headers="stub_1_6 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_6 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">5,988</td>
## <td headers="stub_1_6 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">6,748</td>
## <td headers="stub_1_6 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

ROS Conditional Effects

## Warning: Using `size` aesthetic for lines was deprecated in ggplot2 3.4.0.
## ℹ Please use `linewidth` instead.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.

Estimated Marginal Means for Surface Rate of Spread

## Season = Summer:
##  Status      emmean lower.HPD upper.HPD
##  Non_Invaded   1.97      1.86      2.09
##  Invaded       3.12      2.99      3.24
## 
## Season = Spring:
##  Status      emmean lower.HPD upper.HPD
##  Non_Invaded   4.21      4.09      4.34
##  Invaded       6.81      6.62      6.99
## 
## Season = Winter:
##  Status      emmean lower.HPD upper.HPD
##  Non_Invaded   2.88      2.74      3.02
##  Invaded       4.69      4.56      4.82
## 
## Point estimate displayed: median 
## HPD interval probability: 0.95

## Season = Summer:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded     1.14     0.973      1.32
## 
## Season = Spring:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded     2.60     2.376      2.82
## 
## Season = Winter:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded     1.81     1.628      2.02
## 
## 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%

GLMM Flame Length

Flame Length Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: S_FL ~ Status * Season 
##    Data: fb (Number of observations: 4374) 
##   Draws: 4 chains, each with iter = 4000; warmup = 1000; thin = 1;
##          total post-warmup draws = 12000
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                      1.26      0.02     1.21     1.31 1.00     7335
## StatusInvaded                  0.34      0.03     0.27     0.41 1.00     6233
## SeasonSpring                   0.86      0.03     0.79     0.93 1.00     7355
## SeasonWinter                   0.33      0.04     0.26     0.40 1.00     7479
## StatusInvaded:SeasonSpring     0.45      0.05     0.36     0.55 1.00     6551
## StatusInvaded:SeasonWinter     0.22      0.05     0.12     0.32 1.00     6854
##                            Tail_ESS
## Intercept                      8815
## StatusInvaded                  7564
## SeasonSpring                   8152
## SeasonWinter                   8262
## StatusInvaded:SeasonSpring     8226
## StatusInvaded:SeasonWinter     8437
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     0.66      0.01     0.65     0.68 1.00    11988     7971
## nu       87.90     22.21    52.29   138.97 1.00    11950     8752
## 
## 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.

Surface Flame Length Table

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

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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="9" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Surface Flame Length</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%-HPDI-(Lower)">95% HPDI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-HPDI-(Upper)">95% HPDI (Upper)</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>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="R-hat">R-hat</th>
##     </tr>
##   </thead>
##   <tbody class="gt_table_body">
##     <tr><th id="stub_1_1" scope="row" class="gt_row gt_center gt_stub">Intercept</th>
## <td headers="stub_1_1 Estimate" class="gt_row gt_right" style="font-weight: bold;">1.26</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.02</td>
## <td headers="stub_1_1 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">1.21</td>
## <td headers="stub_1_1 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">1.31</td>
## <td headers="stub_1_1 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_1 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">7,312</td>
## <td headers="stub_1_1 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">8,794</td>
## <td headers="stub_1_1 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_center gt_stub">Season-Winter</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.33</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.04</td>
## <td headers="stub_1_2 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.26</td>
## <td headers="stub_1_2 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.40</td>
## <td headers="stub_1_2 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_2 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">7,457</td>
## <td headers="stub_1_2 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">8,219</td>
## <td headers="stub_1_2 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_center gt_stub">SeasonSpring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.86</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% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.79</td>
## <td headers="stub_1_3 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.93</td>
## <td headers="stub_1_3 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_3 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">7,312</td>
## <td headers="stub_1_3 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">8,129</td>
## <td headers="stub_1_3 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_center gt_stub">Status-Invaded</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.34</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.04</td>
## <td headers="stub_1_4 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.27</td>
## <td headers="stub_1_4 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.41</td>
## <td headers="stub_1_4 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_4 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">6,209</td>
## <td headers="stub_1_4 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">7,509</td>
## <td headers="stub_1_4 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_center gt_stub">Status-Invaded x Season-Winter</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.22</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.05</td>
## <td headers="stub_1_5 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.12</td>
## <td headers="stub_1_5 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.32</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;">6,827</td>
## <td headers="stub_1_5 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">8,416</td>
## <td headers="stub_1_5 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_center gt_stub">Status-Invaded x SeasonSpring</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.45</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.05</td>
## <td headers="stub_1_6 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.36</td>
## <td headers="stub_1_6 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.55</td>
## <td headers="stub_1_6 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_6 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">6,530</td>
## <td headers="stub_1_6 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">8,173</td>
## <td headers="stub_1_6 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Flame Length Conditional Effects

Estimated Marginal Means for Surface Flame Length

## Season = Summer:
##  Status      emmean lower.HPD upper.HPD
##  Non_Invaded   1.26      1.21      1.31
##  Invaded       1.60      1.55      1.65
## 
## Season = Spring:
##  Status      emmean lower.HPD upper.HPD
##  Non_Invaded   2.12      2.07      2.17
##  Invaded       2.91      2.87      2.96
## 
## Season = Winter:
##  Status      emmean lower.HPD upper.HPD
##  Non_Invaded   1.59      1.54      1.64
##  Invaded       2.15      2.10      2.20
## 
## Point estimate displayed: median 
## HPD interval probability: 0.95

## Season = Summer:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded    0.342     0.272     0.410
## 
## Season = Spring:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded    0.796     0.726     0.862
## 
## Season = Winter:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded    0.558     0.489     0.628
## 
## 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%

GLMM Surface Fireline Intensity

Fireline Intensity Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: S_Fin ~ Status * Season 
##    Data: fb (Number of observations: 4374) 
##   Draws: 4 chains, each with iter = 4000; warmup = 1000; thin = 1;
##          total post-warmup draws = 12000
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                   1146.14     15.78  1115.16  1177.03 1.00    10082
## StatusInvaded                  0.74      1.00    -1.18     2.66 1.00    14282
## SeasonSpring                   0.92      1.00    -1.03     2.89 1.00    14318
## SeasonWinter                   0.02      1.00    -1.91     1.97 1.00    13456
## StatusInvaded:SeasonSpring     0.72      1.01    -1.26     2.69 1.00    13980
## StatusInvaded:SeasonWinter     0.28      0.99    -1.67     2.23 1.00    13589
##                            Tail_ESS
## Intercept                      9569
## StatusInvaded                  9923
## SeasonSpring                   8651
## SeasonWinter                   8988
## StatusInvaded:SeasonSpring     8945
## StatusInvaded:SeasonWinter     9051
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma   811.48     14.85   782.73   840.88 1.00     7335     9073
## nu        3.56      0.19     3.20     3.96 1.00     7026     7883
## 
## 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.

Surface Fireline Intensity Table

## 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 Surface Fireline Intensity</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%-HPDI-(Lower)">95% HPDI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-HPDI-(Upper)">95% HPDI (Upper)</th>
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##       <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>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="R-hat">R-hat</th>
##     </tr>
##   </thead>
##   <tbody class="gt_table_body">
##     <tr><th id="stub_1_1" scope="row" class="gt_row gt_center gt_stub">Intercept</th>
## <td headers="stub_1_1 Estimate" class="gt_row gt_right" style="font-weight: bold;">1,146.20</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right" style="font-weight: bold;">15.64</td>
## <td headers="stub_1_1 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">1,114.37</td>
## <td headers="stub_1_1 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">1,175.95</td>
## <td headers="stub_1_1 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_1 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">10,051</td>
## <td headers="stub_1_1 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">9,533</td>
## <td headers="stub_1_1 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_center gt_stub">Season-Winter</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right">0.02</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">0.99</td>
## <td headers="stub_1_2 95% HPDI (Lower)" class="gt_row gt_right">−1.92</td>
## <td headers="stub_1_2 95% HPDI (Upper)" class="gt_row gt_right">1.96</td>
## <td headers="stub_1_2 Probability > 0" class="gt_row gt_right">0.507</td>
## <td headers="stub_1_2 Bulk ESS" class="gt_row gt_right">13,486</td>
## <td headers="stub_1_2 Tail ESS" class="gt_row gt_right">8,964</td>
## <td headers="stub_1_2 R-hat" class="gt_row gt_right">1.000</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_center gt_stub">SeasonSpring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right">0.92</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right">1.00</td>
## <td headers="stub_1_3 95% HPDI (Lower)" class="gt_row gt_right">−1.00</td>
## <td headers="stub_1_3 95% HPDI (Upper)" class="gt_row gt_right">2.91</td>
## <td headers="stub_1_3 Probability > 0" class="gt_row gt_right">0.818</td>
## <td headers="stub_1_3 Bulk ESS" class="gt_row gt_right">14,261</td>
## <td headers="stub_1_3 Tail ESS" class="gt_row gt_right">8,603</td>
## <td headers="stub_1_3 R-hat" class="gt_row gt_right">1.000</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_center gt_stub">Status-Invaded</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right">0.73</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right">1.00</td>
## <td headers="stub_1_4 95% HPDI (Lower)" class="gt_row gt_right">−1.16</td>
## <td headers="stub_1_4 95% HPDI (Upper)" class="gt_row gt_right">2.67</td>
## <td headers="stub_1_4 Probability > 0" class="gt_row gt_right">0.771</td>
## <td headers="stub_1_4 Bulk ESS" class="gt_row gt_right">14,231</td>
## <td headers="stub_1_4 Tail ESS" class="gt_row gt_right">9,879</td>
## <td headers="stub_1_4 R-hat" class="gt_row gt_right">1.000</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_center gt_stub">Status-Invaded x Season-Winter</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">0.28</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">1.00</td>
## <td headers="stub_1_5 95% HPDI (Lower)" class="gt_row gt_right">−1.70</td>
## <td headers="stub_1_5 95% HPDI (Upper)" class="gt_row gt_right">2.18</td>
## <td headers="stub_1_5 Probability > 0" class="gt_row gt_right">0.611</td>
## <td headers="stub_1_5 Bulk ESS" class="gt_row gt_right">13,563</td>
## <td headers="stub_1_5 Tail ESS" class="gt_row gt_right">8,968</td>
## <td headers="stub_1_5 R-hat" class="gt_row gt_right">1.000</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_center gt_stub">Status-Invaded x SeasonSpring</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right">0.73</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">1.00</td>
## <td headers="stub_1_6 95% HPDI (Lower)" class="gt_row gt_right">−1.24</td>
## <td headers="stub_1_6 95% HPDI (Upper)" class="gt_row gt_right">2.69</td>
## <td headers="stub_1_6 Probability > 0" class="gt_row gt_right">0.763</td>
## <td headers="stub_1_6 Bulk ESS" class="gt_row gt_right">13,895</td>
## <td headers="stub_1_6 Tail ESS" class="gt_row gt_right">8,891</td>
## <td headers="stub_1_6 R-hat" class="gt_row gt_right">1.000</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Fireline Intensity Conditional Effects

Estimated Marginal Means for Surface Fireline Intensity

##        Status Season  emmean lower.HPD upper.HPD
## 1 Non_Invaded Summer 1146.20   1114.37   1175.95
## 2     Invaded Summer 1146.89   1115.26   1177.06
## 3 Non_Invaded Spring 1147.08   1116.19   1178.17
## 4     Invaded Spring 1148.51   1118.27   1180.55
## 5 Non_Invaded Winter 1146.14   1114.09   1175.92
## 6     Invaded Winter 1147.12   1114.64   1176.48

##                contrast Season estimate lower.HPD upper.HPD
## 1 Invaded - Non_Invaded Summer     0.73     -1.16      2.67
## 2 Invaded - Non_Invaded Spring     1.45     -1.35      4.19
## 3 Invaded - Non_Invaded Winter     1.01     -1.80      3.74

## Probability of Direction
## 
## contrast              | Season | Posterior Probability
## ------------------------------------------------------
## Invaded - Non_Invaded | Summer |                  0.77
## Invaded - Non_Invaded | Spring |                  0.85
## Invaded - Non_Invaded | Winter |                  0.77

GLMM Crown Transition Ratio

Crown Transition Ratio Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: C_TR ~ Status * Season 
##    Data: fb (Number of observations: 4374) 
##   Draws: 4 chains, each with iter = 4000; warmup = 1000; thin = 1;
##          total post-warmup draws = 12000
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                      0.14      0.01     0.13     0.16 1.00     8170
## StatusInvaded                  0.07      0.01     0.04     0.09 1.00     6265
## SeasonSpring                   0.22      0.01     0.20     0.25 1.00     7087
## SeasonWinter                   0.06      0.01     0.04     0.09 1.00     6634
## StatusInvaded:SeasonSpring     0.23      0.02     0.18     0.27 1.00     6770
## StatusInvaded:SeasonWinter     0.10      0.02     0.07     0.14 1.00     6024
##                            Tail_ESS
## Intercept                      8236
## StatusInvaded                  8035
## SeasonSpring                   8032
## SeasonWinter                   8112
## StatusInvaded:SeasonSpring     8985
## StatusInvaded:SeasonWinter     7370
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     0.20      0.00     0.19     0.21 1.00     6924     7297
## nu        1.73      0.07     1.61     1.86 1.00     6946     7597
## 
## 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.

Transition Ratio Table

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

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##   <thead>
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##       <td colspan="9" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Crown Transition Ratio</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%-HPDI-(Lower)">95% HPDI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-HPDI-(Upper)">95% HPDI (Upper)</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>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="R-hat">R-hat</th>
##     </tr>
##   </thead>
##   <tbody class="gt_table_body">
##     <tr><th id="stub_1_1" scope="row" class="gt_row gt_center gt_stub">Intercept</th>
## <td headers="stub_1_1 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.14</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.01</td>
## <td headers="stub_1_1 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.13</td>
## <td headers="stub_1_1 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.16</td>
## <td headers="stub_1_1 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_1 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">8,128</td>
## <td headers="stub_1_1 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">8,175</td>
## <td headers="stub_1_1 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_center gt_stub">Season-Winter</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.06</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.01</td>
## <td headers="stub_1_2 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.04</td>
## <td headers="stub_1_2 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.09</td>
## <td headers="stub_1_2 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_2 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">6,603</td>
## <td headers="stub_1_2 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">8,079</td>
## <td headers="stub_1_2 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_center gt_stub">SeasonSpring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.22</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.01</td>
## <td headers="stub_1_3 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.20</td>
## <td headers="stub_1_3 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.25</td>
## <td headers="stub_1_3 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_3 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">7,051</td>
## <td headers="stub_1_3 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">7,978</td>
## <td headers="stub_1_3 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_center gt_stub">Status-Invaded</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.07</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.01</td>
## <td headers="stub_1_4 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.04</td>
## <td headers="stub_1_4 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.09</td>
## <td headers="stub_1_4 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_4 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">6,204</td>
## <td headers="stub_1_4 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">8,036</td>
## <td headers="stub_1_4 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.001</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_center gt_stub">Status-Invaded x Season-Winter</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.10</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.02</td>
## <td headers="stub_1_5 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.07</td>
## <td headers="stub_1_5 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.14</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;">5,994</td>
## <td headers="stub_1_5 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">7,315</td>
## <td headers="stub_1_5 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_center gt_stub">Status-Invaded x SeasonSpring</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.23</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% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.18</td>
## <td headers="stub_1_6 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.27</td>
## <td headers="stub_1_6 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_6 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">6,681</td>
## <td headers="stub_1_6 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">8,963</td>
## <td headers="stub_1_6 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Crown Transition Ratio Conditional Effects

Estimated Marginal Means for Crown Transition Ratio

## Season = Summer:
##  Status      emmean lower.HPD upper.HPD
##  Non_Invaded  0.144     0.129     0.159
##  Invaded      0.212     0.193     0.231
## 
## Season = Spring:
##  Status      emmean lower.HPD upper.HPD
##  Non_Invaded  0.367     0.348     0.387
##  Invaded      0.661     0.632     0.693
## 
## Season = Winter:
##  Status      emmean lower.HPD upper.HPD
##  Non_Invaded  0.206     0.187     0.226
##  Invaded      0.377     0.355     0.399
## 
## Point estimate displayed: median 
## HPD interval probability: 0.95

## Season = Summer:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded   0.0675    0.0431    0.0912
## 
## Season = Spring:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded   0.2942    0.2592    0.3309
## 
## Season = Winter:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded   0.1706    0.1422    0.2000
## 
## 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%

GLMM Crown Fire Active Ratio

Crown Fire Active Ratio Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: C_AR ~ Status * Season 
##    Data: fb (Number of observations: 4374) 
##   Draws: 4 chains, each with iter = 4000; warmup = 1000; thin = 1;
##          total post-warmup draws = 12000
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                      0.07      0.00     0.07     0.08 1.00     6011
## StatusInvaded                 -0.01      0.00    -0.02    -0.01 1.00     4958
## SeasonSpring                   0.10      0.00     0.10     0.11 1.00     5926
## SeasonWinter                  -0.03      0.00    -0.04    -0.02 1.00     4079
## StatusInvaded:SeasonSpring     0.01      0.00    -0.00     0.02 1.00     5231
## StatusInvaded:SeasonWinter     0.02      0.01     0.01     0.03 1.00     4181
##                            Tail_ESS
## Intercept                      7776
## StatusInvaded                  6597
## SeasonSpring                   7335
## SeasonWinter                   5814
## StatusInvaded:SeasonSpring     7128
## StatusInvaded:SeasonWinter     6043
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     0.06      0.00     0.06     0.06 1.00     4387     5643
## nu       11.78      1.88     8.80    16.16 1.00     4196     5449
## 
## 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.

Active Ratio Table

## 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 Crown Active Ratio</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%-HPDI-(Lower)">95% HPDI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-HPDI-(Upper)">95% HPDI (Upper)</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>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="R-hat">R-hat</th>
##     </tr>
##   </thead>
##   <tbody class="gt_table_body">
##     <tr><th id="stub_1_1" scope="row" class="gt_row gt_center gt_stub">Intercept</th>
## <td headers="stub_1_1 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.07</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.00</td>
## <td headers="stub_1_1 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.07</td>
## <td headers="stub_1_1 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.08</td>
## <td headers="stub_1_1 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_1 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">5,985</td>
## <td headers="stub_1_1 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">7,778</td>
## <td headers="stub_1_1 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_center gt_stub">Season-Winter</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right" style="font-weight: bold;">−0.03</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.00</td>
## <td headers="stub_1_2 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−0.04</td>
## <td headers="stub_1_2 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−0.02</td>
## <td headers="stub_1_2 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">0.000</td>
## <td headers="stub_1_2 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">4,052</td>
## <td headers="stub_1_2 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">5,780</td>
## <td headers="stub_1_2 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_center gt_stub">SeasonSpring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.10</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.00</td>
## <td headers="stub_1_3 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.10</td>
## <td headers="stub_1_3 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.11</td>
## <td headers="stub_1_3 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_3 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">5,884</td>
## <td headers="stub_1_3 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">7,267</td>
## <td headers="stub_1_3 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_center gt_stub">Status-Invaded</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right" style="font-weight: bold;">−0.01</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.00</td>
## <td headers="stub_1_4 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−0.02</td>
## <td headers="stub_1_4 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−0.01</td>
## <td headers="stub_1_4 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">0.000</td>
## <td headers="stub_1_4 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">4,932</td>
## <td headers="stub_1_4 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">6,563</td>
## <td headers="stub_1_4 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_center gt_stub">Status-Invaded x Season-Winter</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.02</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.01</td>
## <td headers="stub_1_5 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.01</td>
## <td headers="stub_1_5 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.03</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;">4,160</td>
## <td headers="stub_1_5 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">6,043</td>
## <td headers="stub_1_5 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_center gt_stub">Status-Invaded x SeasonSpring</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right">0.01</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">0.00</td>
## <td headers="stub_1_6 95% HPDI (Lower)" class="gt_row gt_right">0.00</td>
## <td headers="stub_1_6 95% HPDI (Upper)" class="gt_row gt_right">0.02</td>
## <td headers="stub_1_6 Probability > 0" class="gt_row gt_right">0.944</td>
## <td headers="stub_1_6 Bulk ESS" class="gt_row gt_right">5,198</td>
## <td headers="stub_1_6 Tail ESS" class="gt_row gt_right">7,122</td>
## <td headers="stub_1_6 R-hat" class="gt_row gt_right">1.000</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Active Ratio Conditional Effects

Estimated Marginal Means for Crown Fire Active Ratio

## Season = Summer:
##  Status      emmean lower.HPD upper.HPD
##  Non_Invaded 0.0741    0.0695    0.0785
##  Invaded     0.0615    0.0567    0.0656
## 
## Season = Spring:
##  Status      emmean lower.HPD upper.HPD
##  Non_Invaded 0.1782    0.1740    0.1828
##  Invaded     0.1728    0.1685    0.1772
## 
## Season = Winter:
##  Status      emmean lower.HPD upper.HPD
##  Non_Invaded 0.0429    0.0362    0.0494
##  Invaded     0.0487    0.0438    0.0535
## 
## Point estimate displayed: median 
## HPD interval probability: 0.95

## Season = Summer:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded -0.01264  -0.01872 -0.006069
## 
## Season = Spring:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded -0.00543  -0.01170  0.000493
## 
## Season = Winter:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded  0.00579  -0.00164  0.012874
## 
## Point estimate displayed: median 
## HPD interval probability: 0.95

## Probability of Direction
## 
## contrast              | Season |     pd
## ---------------------------------------
## Invaded - Non_Invaded | Summer |   100%
## Invaded - Non_Invaded | Spring | 95.98%
## Invaded - Non_Invaded | Winter | 93.81%

GLMM Crown Fire Rate of Spread

Crown Fire Rate of Spread Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: C_ROS ~ Status * Season 
##    Data: fb (Number of observations: 4374) 
##   Draws: 4 chains, each with iter = 4000; warmup = 1000; thin = 1;
##          total post-warmup draws = 12000
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                      0.90      0.03     0.85     0.96 1.00     5492
## StatusInvaded                 -0.19      0.04    -0.26    -0.11 1.00     4845
## SeasonSpring                   1.23      0.04     1.16     1.31 1.00     5534
## SeasonWinter                  -0.43      0.05    -0.53    -0.33 1.00     4812
## StatusInvaded:SeasonSpring     0.13      0.05     0.03     0.23 1.00     5110
## StatusInvaded:SeasonWinter     0.26      0.06     0.15     0.38 1.00     4958
##                            Tail_ESS
## Intercept                      7748
## StatusInvaded                  6681
## SeasonSpring                   7457
## SeasonWinter                   6292
## StatusInvaded:SeasonSpring     6585
## StatusInvaded:SeasonWinter     6514
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     0.67      0.01     0.65     0.70 1.00     5790     7474
## nu        9.55      1.31     7.41    12.50 1.00     5297     6544
## 
## 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.

Crown Fire Rate of Spread Table

## 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 Crown Rate of Spread</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%-HPDI-(Lower)">95% HPDI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-HPDI-(Upper)">95% HPDI (Upper)</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>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="R-hat">R-hat</th>
##     </tr>
##   </thead>
##   <tbody class="gt_table_body">
##     <tr><th id="stub_1_1" scope="row" class="gt_row gt_center gt_stub">Intercept</th>
## <td headers="stub_1_1 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.90</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.03</td>
## <td headers="stub_1_1 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.85</td>
## <td headers="stub_1_1 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.96</td>
## <td headers="stub_1_1 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_1 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">5,479</td>
## <td headers="stub_1_1 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">7,724</td>
## <td headers="stub_1_1 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_center gt_stub">Season-Winter</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right" style="font-weight: bold;">−0.43</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.05</td>
## <td headers="stub_1_2 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−0.53</td>
## <td headers="stub_1_2 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−0.33</td>
## <td headers="stub_1_2 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">0.000</td>
## <td headers="stub_1_2 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">4,804</td>
## <td headers="stub_1_2 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">6,243</td>
## <td headers="stub_1_2 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_center gt_stub">SeasonSpring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right" style="font-weight: bold;">1.23</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% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">1.16</td>
## <td headers="stub_1_3 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">1.31</td>
## <td headers="stub_1_3 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_3 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">5,516</td>
## <td headers="stub_1_3 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">7,430</td>
## <td headers="stub_1_3 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_center gt_stub">Status-Invaded</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right" style="font-weight: bold;">−0.19</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.04</td>
## <td headers="stub_1_4 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−0.26</td>
## <td headers="stub_1_4 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−0.11</td>
## <td headers="stub_1_4 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">0.000</td>
## <td headers="stub_1_4 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">4,832</td>
## <td headers="stub_1_4 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">6,660</td>
## <td headers="stub_1_4 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_center gt_stub">Status-Invaded x Season-Winter</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.26</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.06</td>
## <td headers="stub_1_5 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.14</td>
## <td headers="stub_1_5 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.37</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;">4,950</td>
## <td headers="stub_1_5 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">6,492</td>
## <td headers="stub_1_5 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_center gt_stub">Status-Invaded x SeasonSpring</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.13</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.05</td>
## <td headers="stub_1_6 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.03</td>
## <td headers="stub_1_6 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.23</td>
## <td headers="stub_1_6 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">0.994</td>
## <td headers="stub_1_6 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">5,093</td>
## <td headers="stub_1_6 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">6,579</td>
## <td headers="stub_1_6 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Crown Fire Rate of Spread Conditional Effects

Estimated Marginal Means for Crown Fire Rate of Spread

## Season = Summer:
##  Status      emmean lower.HPD upper.HPD
##  Non_Invaded  0.902     0.848     0.956
##  Invaded      0.714     0.663     0.769
## 
## Season = Spring:
##  Status      emmean lower.HPD upper.HPD
##  Non_Invaded  2.134     2.085     2.187
##  Invaded      2.076     2.027     2.130
## 
## Season = Winter:
##  Status      emmean lower.HPD upper.HPD
##  Non_Invaded  0.473     0.393     0.551
##  Invaded      0.547     0.489     0.608
## 
## Point estimate displayed: median 
## HPD interval probability: 0.95

## Season = Summer:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded  -0.1875  -0.26381   -0.1119
## 
## Season = Spring:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded  -0.0580  -0.12921    0.0139
## 
## Season = Winter:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded   0.0741  -0.00911    0.1596
## 
## Point estimate displayed: median 
## HPD interval probability: 0.95

## Probability of Direction
## 
## contrast              | Season |     pd
## ---------------------------------------
## Invaded - Non_Invaded | Summer |   100%
## Invaded - Non_Invaded | Spring | 94.37%
## Invaded - Non_Invaded | Winter | 95.58%

GLMM Crown Fire Intensity

Crown Fire Intensity Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: C_Fin ~ Status * Season 
##    Data: fb (Number of observations: 4374) 
##   Draws: 4 chains, each with iter = 4000; warmup = 1000; thin = 1;
##          total post-warmup draws = 12000
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                   1360.37     18.82  1323.37  1397.38 1.00    16292
## StatusInvaded                 -0.06      1.00    -2.00     1.91 1.00    17843
## SeasonSpring                   1.03      1.00    -0.92     2.99 1.00    15747
## SeasonWinter                  -0.56      0.99    -2.50     1.36 1.00    17189
## StatusInvaded:SeasonSpring     0.53      1.00    -1.44     2.49 1.00    16822
## StatusInvaded:SeasonWinter    -0.32      0.99    -2.29     1.59 1.00    17869
##                            Tail_ESS
## Intercept                      9163
## StatusInvaded                 10016
## SeasonSpring                   9488
## SeasonWinter                   9576
## StatusInvaded:SeasonSpring     9096
## StatusInvaded:SeasonWinter     9151
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma  1220.31     13.96  1193.20  1247.86 1.00    16119     9405
## nu       75.00     20.28    43.06   122.26 1.00    13665     9542
## 
## 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.

Crown Fire Intensity Table

## 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 Crown Fire Intensity</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%-HPDI-(Lower)">95% HPDI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-HPDI-(Upper)">95% HPDI (Upper)</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>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="R-hat">R-hat</th>
##     </tr>
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##   <tbody class="gt_table_body">
##     <tr><th id="stub_1_1" scope="row" class="gt_row gt_center gt_stub">Intercept</th>
## <td headers="stub_1_1 Estimate" class="gt_row gt_right" style="font-weight: bold;">1,360.30</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right" style="font-weight: bold;">18.81</td>
## <td headers="stub_1_1 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">1,323.04</td>
## <td headers="stub_1_1 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">1,396.79</td>
## <td headers="stub_1_1 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_1 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">16,167</td>
## <td headers="stub_1_1 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">9,128</td>
## <td headers="stub_1_1 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_center gt_stub">Season-Winter</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right">−0.56</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right">0.99</td>
## <td headers="stub_1_2 95% HPDI (Lower)" class="gt_row gt_right">−2.47</td>
## <td headers="stub_1_2 95% HPDI (Upper)" class="gt_row gt_right">1.38</td>
## <td headers="stub_1_2 Probability > 0" class="gt_row gt_right">0.285</td>
## <td headers="stub_1_2 Bulk ESS" class="gt_row gt_right">17,065</td>
## <td headers="stub_1_2 Tail ESS" class="gt_row gt_right">9,508</td>
## <td headers="stub_1_2 R-hat" class="gt_row gt_right">1.000</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_center gt_stub">SeasonSpring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right">1.04</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right">1.01</td>
## <td headers="stub_1_3 95% HPDI (Lower)" class="gt_row gt_right">−0.96</td>
## <td headers="stub_1_3 95% HPDI (Upper)" class="gt_row gt_right">2.93</td>
## <td headers="stub_1_3 Probability > 0" class="gt_row gt_right">0.853</td>
## <td headers="stub_1_3 Bulk ESS" class="gt_row gt_right">15,443</td>
## <td headers="stub_1_3 Tail ESS" class="gt_row gt_right">9,469</td>
## <td headers="stub_1_3 R-hat" class="gt_row gt_right">1.000</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_center gt_stub">Status-Invaded</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right">−0.06</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right">1.00</td>
## <td headers="stub_1_4 95% HPDI (Lower)" class="gt_row gt_right">−1.95</td>
## <td headers="stub_1_4 95% HPDI (Upper)" class="gt_row gt_right">1.96</td>
## <td headers="stub_1_4 Probability > 0" class="gt_row gt_right">0.473</td>
## <td headers="stub_1_4 Bulk ESS" class="gt_row gt_right">17,638</td>
## <td headers="stub_1_4 Tail ESS" class="gt_row gt_right">9,982</td>
## <td headers="stub_1_4 R-hat" class="gt_row gt_right">1.000</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_center gt_stub">Status-Invaded x Season-Winter</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right">−0.30</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right">0.99</td>
## <td headers="stub_1_5 95% HPDI (Lower)" class="gt_row gt_right">−2.33</td>
## <td headers="stub_1_5 95% HPDI (Upper)" class="gt_row gt_right">1.53</td>
## <td headers="stub_1_5 Probability > 0" class="gt_row gt_right">0.376</td>
## <td headers="stub_1_5 Bulk ESS" class="gt_row gt_right">17,497</td>
## <td headers="stub_1_5 Tail ESS" class="gt_row gt_right">9,119</td>
## <td headers="stub_1_5 R-hat" class="gt_row gt_right">1.000</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_center gt_stub">Status-Invaded x SeasonSpring</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right">0.52</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right">0.99</td>
## <td headers="stub_1_6 95% HPDI (Lower)" class="gt_row gt_right">−1.38</td>
## <td headers="stub_1_6 95% HPDI (Upper)" class="gt_row gt_right">2.55</td>
## <td headers="stub_1_6 Probability > 0" class="gt_row gt_right">0.702</td>
## <td headers="stub_1_6 Bulk ESS" class="gt_row gt_right">16,861</td>
## <td headers="stub_1_6 Tail ESS" class="gt_row gt_right">9,077</td>
## <td headers="stub_1_6 R-hat" class="gt_row gt_right">1.000</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Crown Fire Intensity Conditional Effects

Estimated Marginal Means for Crown Fire Intensity

##        Status Season  emmean lower.HPD upper.HPD
## 1 Non_Invaded Summer 1360.30   1323.04   1396.79
## 2     Invaded Summer 1360.29   1322.68   1396.52
## 3 Non_Invaded Spring 1361.32   1323.75   1397.53
## 4     Invaded Spring 1361.81   1323.41   1397.55
## 5 Non_Invaded Winter 1359.70   1322.01   1395.90
## 6     Invaded Winter 1359.34   1321.80   1395.54

##                contrast Season estimate lower.HPD upper.HPD
## 1 Invaded - Non_Invaded Summer    -0.06     -1.95      1.96
## 2 Invaded - Non_Invaded Spring     0.45     -2.21      3.29
## 3 Invaded - Non_Invaded Winter    -0.38     -3.16      2.27

## Probability of Direction
## 
## contrast              | Season | Posterior Probability
## ------------------------------------------------------
## Invaded - Non_Invaded | Summer |                  0.53
## Invaded - Non_Invaded | Spring |                  0.63
## Invaded - Non_Invaded | Winter |                  0.60

GLMM Crown Fire Flame Length

Crown Fire Flame Length Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: C_FL ~ Status * Season 
##    Data: fb (Number of observations: 4374) 
##   Draws: 4 chains, each with iter = 4000; warmup = 1000; thin = 1;
##          total post-warmup draws = 12000
## 
## Regression Coefficients:
##                            Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
## Intercept                      2.22      0.06     2.10     2.35 1.00     6628
## StatusInvaded                 -0.29      0.09    -0.47    -0.12 1.00     5689
## SeasonSpring                   2.49      0.09     2.31     2.66 1.00     6323
## SeasonWinter                  -0.74      0.10    -0.95    -0.53 1.00     5618
## StatusInvaded:SeasonSpring     0.37      0.12     0.12     0.61 1.00     5745
## StatusInvaded:SeasonWinter     0.48      0.13     0.21     0.74 1.00     5451
##                            Tail_ESS
## Intercept                      8160
## StatusInvaded                  7343
## SeasonSpring                   7753
## SeasonWinter                   7716
## StatusInvaded:SeasonSpring     6842
## StatusInvaded:SeasonWinter     7418
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.67      0.02     1.62     1.71 1.00     8346     7859
## nu       39.46     13.68    20.38    72.94 1.00     7134     8381
## 
## 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.

Crown Flame Length Table

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

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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="9" class="gt_heading gt_title gt_font_normal gt_bottom_border" style>Posterior Estimates for Crown Flame Length</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%-HPDI-(Lower)">95% HPDI (Lower)</th>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="a95%-HPDI-(Upper)">95% HPDI (Upper)</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>
##       <th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" scope="col" id="R-hat">R-hat</th>
##     </tr>
##   </thead>
##   <tbody class="gt_table_body">
##     <tr><th id="stub_1_1" scope="row" class="gt_row gt_center gt_stub">Intercept</th>
## <td headers="stub_1_1 Estimate" class="gt_row gt_right" style="font-weight: bold;">2.22</td>
## <td headers="stub_1_1 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.06</td>
## <td headers="stub_1_1 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">2.11</td>
## <td headers="stub_1_1 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">2.36</td>
## <td headers="stub_1_1 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_1 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">6,615</td>
## <td headers="stub_1_1 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">8,134</td>
## <td headers="stub_1_1 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.001</td></tr>
##     <tr><th id="stub_1_2" scope="row" class="gt_row gt_center gt_stub">Season-Winter</th>
## <td headers="stub_1_2 Estimate" class="gt_row gt_right" style="font-weight: bold;">−0.74</td>
## <td headers="stub_1_2 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.10</td>
## <td headers="stub_1_2 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−0.95</td>
## <td headers="stub_1_2 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−0.54</td>
## <td headers="stub_1_2 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">0.000</td>
## <td headers="stub_1_2 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">5,603</td>
## <td headers="stub_1_2 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">7,704</td>
## <td headers="stub_1_2 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_3" scope="row" class="gt_row gt_center gt_stub">SeasonSpring</th>
## <td headers="stub_1_3 Estimate" class="gt_row gt_right" style="font-weight: bold;">2.49</td>
## <td headers="stub_1_3 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.09</td>
## <td headers="stub_1_3 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">2.32</td>
## <td headers="stub_1_3 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">2.66</td>
## <td headers="stub_1_3 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">1.000</td>
## <td headers="stub_1_3 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">6,294</td>
## <td headers="stub_1_3 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">7,735</td>
## <td headers="stub_1_3 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_4" scope="row" class="gt_row gt_center gt_stub">Status-Invaded</th>
## <td headers="stub_1_4 Estimate" class="gt_row gt_right" style="font-weight: bold;">−0.29</td>
## <td headers="stub_1_4 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.09</td>
## <td headers="stub_1_4 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">−0.47</td>
## <td headers="stub_1_4 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">−0.12</td>
## <td headers="stub_1_4 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">0.000</td>
## <td headers="stub_1_4 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">5,674</td>
## <td headers="stub_1_4 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">7,317</td>
## <td headers="stub_1_4 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_5" scope="row" class="gt_row gt_center gt_stub">Status-Invaded x Season-Winter</th>
## <td headers="stub_1_5 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.48</td>
## <td headers="stub_1_5 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.13</td>
## <td headers="stub_1_5 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.22</td>
## <td headers="stub_1_5 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.74</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;">5,437</td>
## <td headers="stub_1_5 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">7,395</td>
## <td headers="stub_1_5 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##     <tr><th id="stub_1_6" scope="row" class="gt_row gt_center gt_stub">Status-Invaded x SeasonSpring</th>
## <td headers="stub_1_6 Estimate" class="gt_row gt_right" style="font-weight: bold;">0.37</td>
## <td headers="stub_1_6 Est. Error" class="gt_row gt_right" style="font-weight: bold;">0.12</td>
## <td headers="stub_1_6 95% HPDI (Lower)" class="gt_row gt_right" style="font-weight: bold;">0.12</td>
## <td headers="stub_1_6 95% HPDI (Upper)" class="gt_row gt_right" style="font-weight: bold;">0.61</td>
## <td headers="stub_1_6 Probability > 0" class="gt_row gt_right" style="font-weight: bold;">0.998</td>
## <td headers="stub_1_6 Bulk ESS" class="gt_row gt_right" style="font-weight: bold;">5,722</td>
## <td headers="stub_1_6 Tail ESS" class="gt_row gt_right" style="font-weight: bold;">6,819</td>
## <td headers="stub_1_6 R-hat" class="gt_row gt_right" style="font-weight: bold;">1.000</td></tr>
##   </tbody>
##   
##   
## </table>
## </div>

Crown Fire Flame Length Conditional Effects

Estimated Marginal Means for Crown Fire Flame Length

## Season = Summer:
##  Status      emmean lower.HPD upper.HPD
##  Non_Invaded   2.22      2.11      2.36
##  Invaded       1.93      1.81      2.05
## 
## Season = Spring:
##  Status      emmean lower.HPD upper.HPD
##  Non_Invaded   4.71      4.60      4.84
##  Invaded       4.79      4.67      4.91
## 
## Season = Winter:
##  Status      emmean lower.HPD upper.HPD
##  Non_Invaded   1.49      1.33      1.65
##  Invaded       1.67      1.54      1.80
## 
## Point estimate displayed: median 
## HPD interval probability: 0.95

## Season = Summer:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded  -0.2939 -0.467599    -0.120
## 
## Season = Spring:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded   0.0773 -0.093653     0.247
## 
## Season = Winter:
##  contrast              estimate lower.HPD upper.HPD
##  Invaded - Non_Invaded   0.1865 -0.000555     0.381
## 
## Point estimate displayed: median 
## HPD interval probability: 0.95

## Probability of Direction
## 
## contrast              | Season |     pd
## ---------------------------------------
## Invaded - Non_Invaded | Summer | 99.95%
## Invaded - Non_Invaded | Spring | 81.08%
## Invaded - Non_Invaded | Winter | 97.11%