Graph surface fire rate of spread by invasions status

fb %>%
  ggplot(aes(x = Status, y = S_ROS)) +
  geom_point() +
  geom_smooth(method = "lm", se = FALSE) +
  labs(title = "Surface Fire Rate of Spread by Invasion Status",
       x = "Status",
       y = "Rate of Spread (m/min)")
## `geom_smooth()` using formula = 'y ~ x'

Fuel Metrics

# Create plots for the surface fire rate of spread (Sur_ROS) and flame length (Sur_FL)
plot_ros <- ggplot(fb, aes(x = Status, y = S_ROS)) +
  geom_boxplot() +
  labs(title = "Surface Fire Rate of Spread", x = "Invasion Status", y = "Rate of Spread (m/min)") +
  theme_classic()

plot_fl <- ggplot(fb, aes(x = Status, y = S_FL)) +
  geom_boxplot() +
  labs(title = "Flame Length", x = "Invasion Status", y = "Flame Length (m)") +
  theme_classic()

# Print the plots
print(plot_ros)

print(plot_fl)

GLMM Surface Rate of Spread

Can’t use Gamma or Lognormal because of zero values in the data.

Rate of Spread Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: S_ROS ~ Status * Live_Fuel_Moisture + Status * Dead_Fuel_Moisture + Status * Live_Biomass + Status * Dead_Biomass + Status * Litter_Biomass 
##    Data: fb (Number of observations: 1458) 
##   Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
##          total post-warmup draws = 4000
## 
## Regression Coefficients:
##                                      Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                                2.51      0.02     2.47     2.55 1.00
## StatusInvaded                            1.03      0.04     0.94     1.10 1.00
## Live_Fuel_MoistureHigh                  -0.51      0.02    -0.54    -0.48 1.00
## Live_Fuel_MoistureLow                    0.71      0.02     0.68     0.74 1.00
## Dead_Fuel_MoistureHigh                  -0.46      0.02    -0.49    -0.42 1.00
## Dead_Fuel_MoistureLow                    0.49      0.02     0.46     0.52 1.00
## Live_BiomassHigh                        -0.19      0.02    -0.22    -0.15 1.00
## Live_BiomassLow                          0.26      0.02     0.23     0.29 1.00
## Dead_BiomassHigh                         0.10      0.02     0.07     0.13 1.00
## Dead_BiomassLow                         -0.07      0.02    -0.10    -0.04 1.00
## Litter_BiomassHigh                       0.30      0.02     0.27     0.33 1.00
## Litter_BiomassLow                       -0.69      0.02    -0.73    -0.66 1.00
## StatusInvaded:Live_Fuel_MoistureHigh     0.00      0.03    -0.07     0.07 1.00
## StatusInvaded:Live_Fuel_MoistureLow     -0.24      0.04    -0.31    -0.17 1.00
## StatusInvaded:Dead_Fuel_MoistureHigh    -0.65      0.05    -0.74    -0.56 1.00
## StatusInvaded:Dead_Fuel_MoistureLow      0.06      0.04    -0.01     0.13 1.00
## StatusInvaded:Live_BiomassHigh           0.22      0.04     0.14     0.30 1.00
## StatusInvaded:Live_BiomassLow           -0.46      0.03    -0.53    -0.40 1.00
## StatusInvaded:Dead_BiomassHigh           0.65      0.04     0.57     0.72 1.00
## StatusInvaded:Dead_BiomassLow           -0.48      0.04    -0.55    -0.40 1.00
## StatusInvaded:Litter_BiomassHigh         0.80      0.03     0.73     0.86 1.00
## StatusInvaded:Litter_BiomassLow         -0.38      0.05    -0.49    -0.27 1.00
##                                      Bulk_ESS Tail_ESS
## Intercept                                3228     3057
## StatusInvaded                            2577     2789
## Live_Fuel_MoistureHigh                   3820     3163
## Live_Fuel_MoistureLow                    4044     2938
## Dead_Fuel_MoistureHigh                   3773     3206
## Dead_Fuel_MoistureLow                    3884     2790
## Live_BiomassHigh                         3238     2817
## Live_BiomassLow                          3774     3248
## Dead_BiomassHigh                         3806     3224
## Dead_BiomassLow                          3847     2646
## Litter_BiomassHigh                       4380     3263
## Litter_BiomassLow                        3906     3091
## StatusInvaded:Live_Fuel_MoistureHigh     3226     2915
## StatusInvaded:Live_Fuel_MoistureLow      3539     2853
## StatusInvaded:Dead_Fuel_MoistureHigh     2497     2644
## StatusInvaded:Dead_Fuel_MoistureLow      2805     2395
## StatusInvaded:Live_BiomassHigh           3130     2915
## StatusInvaded:Live_BiomassLow            3374     3259
## StatusInvaded:Dead_BiomassHigh           3206     2996
## StatusInvaded:Dead_BiomassLow            2613     3043
## StatusInvaded:Litter_BiomassHigh         3398     3037
## StatusInvaded:Litter_BiomassLow          2819     3003
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     0.17      0.01     0.15     0.19 1.00     2391     2411
## nu        1.95      0.19     1.62     2.36 1.00     2363     2465
## 
## 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

ROS Conditional Effects

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

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

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

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

## `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 Flame Length

Flame Length Model Comparison

## Warning: Parts of the model have not converged (some Rhats are > 1.05). Be
## careful when analysing the results! We recommend running more iterations and/or
## setting stronger priors.
##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: S_FL ~ Status * Live_Fuel_Moisture + Status * Dead_Fuel_Moisture + Status * Live_Biomass + Status * Dead_Biomass + Status * Litter_Biomass 
##    Data: fb (Number of observations: 1458) 
##   Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
##          total post-warmup draws = 4000
## 
## Regression Coefficients:
##                                      Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                                1.57      0.01     1.54     1.60 1.10
## StatusInvaded                            0.22      0.07     0.10     0.31 1.74
## Live_Fuel_MoistureLow                    0.25      0.02     0.22     0.29 1.71
## Live_Fuel_MoistureHigh                  -0.19      0.02    -0.23    -0.16 1.60
## Dead_Fuel_MoistureLow                    0.23      0.01     0.21     0.26 1.32
## Dead_Fuel_MoistureHigh                  -0.22      0.03    -0.27    -0.19 1.73
## Live_BiomassLow                          0.06      0.01     0.04     0.09 1.09
## Live_BiomassHigh                        -0.04      0.01    -0.06    -0.02 1.08
## Dead_BiomassLow                         -0.04      0.01    -0.06    -0.02 1.11
## Dead_BiomassHigh                         0.06      0.01     0.04     0.09 1.21
## Litter_BiomassLow                       -0.42      0.05    -0.48    -0.36 1.73
## Litter_BiomassHigh                       0.19      0.01     0.17     0.21 1.10
## StatusInvaded:Live_Fuel_MoistureLow     -0.11      0.02    -0.14    -0.07 1.09
## StatusInvaded:Live_Fuel_MoistureHigh     0.04      0.02    -0.01     0.07 1.25
## StatusInvaded:Dead_Fuel_MoistureLow      0.00      0.02    -0.03     0.05 1.44
## StatusInvaded:Dead_Fuel_MoistureHigh    -0.13      0.06    -0.23    -0.05 1.73
## StatusInvaded:Live_BiomassLow           -0.10      0.03    -0.14    -0.04 1.66
## StatusInvaded:Live_BiomassHigh           0.04      0.06    -0.06     0.12 1.74
## StatusInvaded:Dead_BiomassLow           -0.22      0.04    -0.29    -0.16 1.73
## StatusInvaded:Dead_BiomassHigh           0.27      0.08     0.17     0.38 1.73
## StatusInvaded:Litter_BiomassLow         -0.28      0.19    -0.50    -0.06 1.73
## StatusInvaded:Litter_BiomassHigh         0.33      0.08     0.24     0.44 1.73
##                                      Bulk_ESS Tail_ESS
## Intercept                                2530      251
## StatusInvaded                               6      150
## Live_Fuel_MoistureLow                       6      128
## Live_Fuel_MoistureHigh                      7      151
## Dead_Fuel_MoistureLow                      10      184
## Dead_Fuel_MoistureHigh                      6      129
## Live_BiomassLow                            30      176
## Live_BiomassHigh                           37      163
## Dead_BiomassLow                            79      211
## Dead_BiomassHigh                           13      139
## Litter_BiomassLow                           6      125
## Litter_BiomassHigh                         95      180
## StatusInvaded:Live_Fuel_MoistureLow        51      189
## StatusInvaded:Live_Fuel_MoistureHigh       11      129
## StatusInvaded:Dead_Fuel_MoistureLow         8      170
## StatusInvaded:Dead_Fuel_MoistureHigh        6      136
## StatusInvaded:Live_BiomassLow               6      167
## StatusInvaded:Live_BiomassHigh              6      110
## StatusInvaded:Dead_BiomassLow               6      139
## StatusInvaded:Dead_BiomassHigh              6      131
## StatusInvaded:Litter_BiomassLow             6      145
## StatusInvaded:Litter_BiomassHigh            6      153
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     0.10      0.05     0.05     0.15 1.73        6      117
## nu        9.51     10.97     1.01    37.13 1.74        6      149
## 
## 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

Flame Length Conditional Effects

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

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

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

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

## `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 Surface Fireline Intensity

Fireline Intensity Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: S_Fin ~ Status * Live_Fuel_Moisture + Status * Dead_Fuel_Moisture + Status * Live_Biomass + Status * Dead_Biomass + Status * Litter_Biomass 
##    Data: fb (Number of observations: 1458) 
##   Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
##          total post-warmup draws = 4000
## 
## Regression Coefficients:
##                                      Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                              700.91      6.18   688.81   713.16 1.00
## StatusInvaded                          251.61     14.00   223.74   278.50 1.00
## Live_Fuel_MoistureLow                  221.32      5.29   211.09   231.74 1.00
## Live_Fuel_MoistureHigh                -160.62      4.35  -169.14  -152.11 1.00
## Dead_Fuel_MoistureLow                  224.28      4.75   215.07   233.68 1.00
## Dead_Fuel_MoistureHigh                -186.02      4.76  -195.30  -176.65 1.00
## Live_BiomassLow                         51.29      4.66    42.26    60.18 1.00
## Live_BiomassHigh                       -35.50      4.63   -44.47   -26.48 1.00
## Dead_BiomassLow                        -36.20      4.80   -45.81   -27.02 1.00
## Dead_BiomassHigh                        54.78      4.69    45.62    63.87 1.00
## Litter_BiomassLow                     -353.10      5.30  -363.79  -342.89 1.00
## Litter_BiomassHigh                     183.34      4.45   174.54   192.21 1.00
## StatusInvaded:Live_Fuel_MoistureLow    -43.80      9.94   -63.46   -24.35 1.00
## StatusInvaded:Live_Fuel_MoistureHigh   -27.78      9.71   -47.30    -9.02 1.00
## StatusInvaded:Dead_Fuel_MoistureLow     56.95     10.00    36.90    76.21 1.00
## StatusInvaded:Dead_Fuel_MoistureHigh  -283.85     10.77  -304.83  -262.77 1.00
## StatusInvaded:Live_BiomassLow         -120.94     12.62  -145.70   -96.40 1.00
## StatusInvaded:Live_BiomassHigh         133.78     11.20   111.06   155.49 1.00
## StatusInvaded:Dead_BiomassLow         -225.19     11.03  -247.64  -203.61 1.00
## StatusInvaded:Dead_BiomassHigh         373.66      9.81   354.38   393.28 1.00
## StatusInvaded:Litter_BiomassLow       -131.35     13.18  -157.75  -105.77 1.00
## StatusInvaded:Litter_BiomassHigh       479.54      9.73   460.45   498.88 1.00
##                                      Bulk_ESS Tail_ESS
## Intercept                                3445     3174
## StatusInvaded                            2420     2527
## Live_Fuel_MoistureLow                    3908     3143
## Live_Fuel_MoistureHigh                   4379     3397
## Dead_Fuel_MoistureLow                    3701     3144
## Dead_Fuel_MoistureHigh                   3703     2827
## Live_BiomassLow                          4121     3451
## Live_BiomassHigh                         4430     3298
## Dead_BiomassLow                          4025     3238
## Dead_BiomassHigh                         3818     2991
## Litter_BiomassLow                        4341     3045
## Litter_BiomassHigh                       4303     2988
## StatusInvaded:Live_Fuel_MoistureLow      3674     3152
## StatusInvaded:Live_Fuel_MoistureHigh     3500     3106
## StatusInvaded:Dead_Fuel_MoistureLow      2991     2987
## StatusInvaded:Dead_Fuel_MoistureHigh     3881     2987
## StatusInvaded:Live_BiomassLow            3090     3220
## StatusInvaded:Live_BiomassHigh           3528     3236
## StatusInvaded:Dead_BiomassLow            3579     3079
## StatusInvaded:Dead_BiomassHigh           3829     3100
## StatusInvaded:Litter_BiomassLow          3834     3318
## StatusInvaded:Litter_BiomassHigh         3553     3016
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma    47.32      2.38    42.88    52.16 1.00     3320     2985
## nu        1.35      0.09     1.19     1.53 1.00     3235     2387
## 
## 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

Fireline Intensity Conditional Effects

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

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

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

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

## `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 Crown Transition Ratio

Crown Transition Ratio Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: C_TR ~ Status * Live_Fuel_Moisture + Status * Dead_Fuel_Moisture + Status * Live_Biomass + Status * Dead_Biomass + Status * Litter_Biomass + Status * TreeBH 
##    Data: fb (Number of observations: 1458) 
##   Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
##          total post-warmup draws = 4000
## 
## Regression Coefficients:
##                                      Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                                0.61      0.02     0.58     0.64 1.00
## StatusInvaded                           -0.08      0.02    -0.13    -0.03 1.00
## Live_Fuel_MoistureLow                    0.06      0.01     0.05     0.07 1.00
## Live_Fuel_MoistureHigh                  -0.04      0.01    -0.05    -0.03 1.00
## Dead_Fuel_MoistureLow                    0.06      0.00     0.05     0.06 1.00
## Dead_Fuel_MoistureHigh                  -0.05      0.01    -0.06    -0.04 1.00
## Live_BiomassLow                          0.01      0.01     0.00     0.02 1.00
## Live_BiomassHigh                        -0.01      0.01    -0.02     0.00 1.00
## Dead_BiomassLow                         -0.01      0.01    -0.02    -0.00 1.00
## Dead_BiomassHigh                         0.01      0.01     0.01     0.02 1.00
## Litter_BiomassLow                       -0.10      0.01    -0.11    -0.09 1.00
## Litter_BiomassHigh                       0.05      0.00     0.04     0.06 1.00
## TreeBH                                  -0.05      0.00    -0.05    -0.05 1.00
## StatusInvaded:Live_Fuel_MoistureLow     -0.02      0.01    -0.03    -0.00 1.00
## StatusInvaded:Live_Fuel_MoistureHigh     0.00      0.01    -0.02     0.02 1.00
## StatusInvaded:Dead_Fuel_MoistureLow      0.01      0.01    -0.01     0.02 1.00
## StatusInvaded:Dead_Fuel_MoistureHigh    -0.07      0.01    -0.08    -0.05 1.00
## StatusInvaded:Live_BiomassLow           -0.02      0.01    -0.04    -0.01 1.00
## StatusInvaded:Live_BiomassHigh          -0.01      0.01    -0.02     0.01 1.00
## StatusInvaded:Dead_BiomassLow           -0.06      0.01    -0.07    -0.04 1.00
## StatusInvaded:Dead_BiomassHigh           0.09      0.01     0.07     0.10 1.00
## StatusInvaded:Litter_BiomassLow         -0.02      0.01    -0.03    -0.00 1.00
## StatusInvaded:Litter_BiomassHigh         0.11      0.01     0.10     0.13 1.00
## StatusInvaded:TreeBH                     0.01      0.00     0.01     0.02 1.00
##                                      Bulk_ESS Tail_ESS
## Intercept                                2588     3224
## StatusInvaded                            2730     2811
## Live_Fuel_MoistureLow                    3240     3273
## Live_Fuel_MoistureHigh                   3214     2703
## Dead_Fuel_MoistureLow                    3449     2905
## Dead_Fuel_MoistureHigh                   3201     3143
## Live_BiomassLow                          3451     3089
## Live_BiomassHigh                         3465     3305
## Dead_BiomassLow                          3758     2960
## Dead_BiomassHigh                         4026     3347
## Litter_BiomassLow                        2668     2926
## Litter_BiomassHigh                       3630     3274
## TreeBH                                   2807     2904
## StatusInvaded:Live_Fuel_MoistureLow      3134     3336
## StatusInvaded:Live_Fuel_MoistureHigh     2779     3031
## StatusInvaded:Dead_Fuel_MoistureLow      3563     2826
## StatusInvaded:Dead_Fuel_MoistureHigh     2996     2948
## StatusInvaded:Live_BiomassLow            3288     2866
## StatusInvaded:Live_BiomassHigh           3272     2871
## StatusInvaded:Dead_BiomassLow            3458     2918
## StatusInvaded:Dead_BiomassHigh           3711     3046
## StatusInvaded:Litter_BiomassLow          2904     3044
## StatusInvaded:Litter_BiomassHigh         3684     3391
## StatusInvaded:TreeBH                     3224     2837
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     0.04      0.00     0.04     0.05 1.00     2665     2374
## nu        1.24      0.07     1.10     1.39 1.00     2484     2053
## 
## 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

Crown Transition Ratio Conditional Effects

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

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

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

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

## `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 Crown Fire Active Ratio

Crown Fire Active Ratio Model Comparison

## Warning: Parts of the model have not converged (some Rhats are > 1.05). Be
## careful when analysing the results! We recommend running more iterations and/or
## setting stronger priors.
##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: C_AR ~ Status * Live_Fuel_Moisture + Status * Dead_Fuel_Moisture 
##    Data: fb (Number of observations: 1458) 
##   Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
##          total post-warmup draws = 4000
## 
## Regression Coefficients:
##                                      Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                                0.12      0.01     0.11     0.12 1.74
## StatusInvaded                           -0.04      0.01    -0.04    -0.03 1.74
## Live_Fuel_MoistureLow                    0.02      0.01     0.02     0.03 1.74
## Live_Fuel_MoistureHigh                  -0.03      0.01    -0.03    -0.02 1.74
## Dead_Fuel_MoistureLow                    0.03      0.00     0.03     0.03 1.11
## Dead_Fuel_MoistureHigh                  -0.12      0.01    -0.12    -0.11 1.74
## StatusInvaded:Live_Fuel_MoistureLow     -0.01      0.01    -0.02    -0.01 1.74
## StatusInvaded:Live_Fuel_MoistureHigh     0.02      0.01     0.01     0.02 1.74
## StatusInvaded:Dead_Fuel_MoistureLow      0.02      0.00     0.02     0.02 1.11
## StatusInvaded:Dead_Fuel_MoistureHigh     0.04      0.01     0.03     0.04 1.74
##                                      Bulk_ESS Tail_ESS
## Intercept                                   6       57
## StatusInvaded                               6       57
## Live_Fuel_MoistureLow                       6       52
## Live_Fuel_MoistureHigh                      6       59
## Dead_Fuel_MoistureLow                    3264      140
## Dead_Fuel_MoistureHigh                      6       52
## StatusInvaded:Live_Fuel_MoistureLow         6       46
## StatusInvaded:Live_Fuel_MoistureHigh        6       52
## StatusInvaded:Dead_Fuel_MoistureLow      3331      150
## StatusInvaded:Dead_Fuel_MoistureHigh        6       43
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     0.00      0.00     0.00     0.00 3.97        4       11
## nu        1.19      0.07     1.09     1.26 3.74        4       11
## 
## 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

Active Ratio Conditional Effects

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

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

GLMM Crown Fire Rate of Spread

Crown Fire Rate of Spread Model Comparison

## Warning: Parts of the model have not converged (some Rhats are > 1.05). Be
## careful when analysing the results! We recommend running more iterations and/or
## setting stronger priors.
##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: C_ROS ~ Status * Live_Fuel_Moisture + Status * Dead_Fuel_Moisture 
##    Data: fb (Number of observations: 1458) 
##   Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
##          total post-warmup draws = 4000
## 
## Regression Coefficients:
##                                      Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                                1.33      0.03     1.30     1.37 1.74
## StatusInvaded                           -0.42      0.02    -0.46    -0.40 1.74
## Live_Fuel_MoistureLow                    0.32      0.08     0.22     0.40 1.74
## Live_Fuel_MoistureHigh                  -0.20      0.01    -0.22    -0.19 1.77
## Dead_Fuel_MoistureLow                    0.40      0.01     0.38     0.41 1.77
## Dead_Fuel_MoistureHigh                  -1.33      0.03    -1.38    -1.30 1.74
## StatusInvaded:Live_Fuel_MoistureLow     -0.25      0.15    -0.40    -0.08 1.74
## StatusInvaded:Live_Fuel_MoistureHigh     0.05      0.05    -0.00     0.13 1.73
## StatusInvaded:Dead_Fuel_MoistureLow      0.23      0.07     0.15     0.30 1.74
## StatusInvaded:Dead_Fuel_MoistureHigh     0.42      0.02     0.40     0.46 1.74
##                                      Bulk_ESS Tail_ESS
## Intercept                                   6       50
## StatusInvaded                               6       62
## Live_Fuel_MoistureLow                       6       47
## Live_Fuel_MoistureHigh                   1372      136
## Dead_Fuel_MoistureLow                    2893      109
## Dead_Fuel_MoistureHigh                      6       47
## StatusInvaded:Live_Fuel_MoistureLow         6       45
## StatusInvaded:Live_Fuel_MoistureHigh        6       93
## StatusInvaded:Dead_Fuel_MoistureLow         6       50
## StatusInvaded:Dead_Fuel_MoistureHigh        6       64
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     0.05      0.05     0.00     0.11 2.28        5       12
## nu       27.35     29.49     1.04    88.72 2.25        5       32
## 
## 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

Crown Fire Rate of Spread Conditional Effects

## `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: Removed 2 rows containing missing values or values outside the scale range
## (`geom_point()`).
## Warning: Removed 2 rows containing missing values or values outside the scale range
## (`geom_line()`).
## `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 Crown Fire Intensity

Crown Fire Intensity Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: C_Fin ~ Status * Live_Fuel_Moisture + Status * Dead_Fuel_Moisture + Status * Live_Biomass + Status * Dead_Biomass + Status * Litter_Biomass + Status * TreeBH 
##    Data: fb (Number of observations: 1458) 
##   Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
##          total post-warmup draws = 4000
## 
## Regression Coefficients:
##                                      Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                              323.73     27.24   272.16   376.70 1.00
## StatusInvaded                         -158.47     39.60  -234.94   -80.50 1.00
## Live_Fuel_MoistureLow                  398.76     14.43   370.09   426.22 1.00
## Live_Fuel_MoistureHigh                -328.25     12.99  -352.60  -302.79 1.00
## Dead_Fuel_MoistureLow                  468.98     12.19   444.44   492.98 1.00
## Dead_Fuel_MoistureHigh               -1473.77     19.64 -1511.75 -1435.10 1.00
## Live_BiomassLow                        -10.54     13.32   -36.86    15.59 1.00
## Live_BiomassHigh                         8.27     13.59   -18.17    34.95 1.00
## Dead_BiomassLow                        -13.23     13.26   -39.24    12.45 1.00
## Dead_BiomassHigh                        17.27     13.00    -8.58    42.74 1.00
## Litter_BiomassLow                     -103.54     13.17  -129.18   -77.70 1.00
## Litter_BiomassHigh                      50.60     13.47    24.02    77.23 1.00
## TreeBH                                 150.46      2.69   145.16   155.75 1.00
## StatusInvaded:Live_Fuel_MoistureLow   -157.88     20.40  -198.27  -118.09 1.00
## StatusInvaded:Live_Fuel_MoistureHigh   153.19     19.58   114.83   191.60 1.00
## StatusInvaded:Dead_Fuel_MoistureLow    246.82     19.09   209.25   283.88 1.00
## StatusInvaded:Dead_Fuel_MoistureHigh   465.36     28.40   410.59   522.22 1.00
## StatusInvaded:Live_BiomassLow           16.69     20.10   -22.07    56.02 1.00
## StatusInvaded:Live_BiomassHigh         -19.26     20.24   -59.55    20.46 1.00
## StatusInvaded:Dead_BiomassLow          -41.80     19.71   -80.12    -2.80 1.00
## StatusInvaded:Dead_BiomassHigh          54.82     19.68    15.85    92.69 1.00
## StatusInvaded:Litter_BiomassLow         -2.31     19.51   -40.30    36.52 1.00
## StatusInvaded:Litter_BiomassHigh        38.53     20.07    -2.17    77.21 1.00
## StatusInvaded:TreeBH                   -44.69      4.10   -52.95   -36.80 1.00
##                                      Bulk_ESS Tail_ESS
## Intercept                                2574     2658
## StatusInvaded                            2520     2660
## Live_Fuel_MoistureLow                    3864     3434
## Live_Fuel_MoistureHigh                   4420     3257
## Dead_Fuel_MoistureLow                    3592     3118
## Dead_Fuel_MoistureHigh                   3466     3006
## Live_BiomassLow                          3233     3316
## Live_BiomassHigh                         3560     3107
## Dead_BiomassLow                          3804     3349
## Dead_BiomassHigh                         3699     3248
## Litter_BiomassLow                        3684     3175
## Litter_BiomassHigh                       3686     3266
## TreeBH                                   3014     2765
## StatusInvaded:Live_Fuel_MoistureLow      3788     3423
## StatusInvaded:Live_Fuel_MoistureHigh     3782     3321
## StatusInvaded:Dead_Fuel_MoistureLow      3783     3223
## StatusInvaded:Dead_Fuel_MoistureHigh     3863     2873
## StatusInvaded:Live_BiomassLow            3229     3443
## StatusInvaded:Live_BiomassHigh           3176     2804
## StatusInvaded:Dead_BiomassLow            3734     3177
## StatusInvaded:Dead_BiomassHigh           3799     3443
## StatusInvaded:Litter_BiomassLow          3569     3207
## StatusInvaded:Litter_BiomassHigh         3648     3452
## StatusInvaded:TreeBH                     3205     3268
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma   120.08      6.32   108.48   133.03 1.00     3039     2997
## nu        1.82      0.16     1.55     2.16 1.00     3402     2589
## 
## 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

Crown Fire Intensity Conditional Effects

## `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: Removed 2 rows containing missing values or values outside the scale range
## (`geom_point()`).
## Warning: Removed 2 rows containing missing values or values outside the scale range
## (`geom_line()`).
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

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

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

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

GLMM Crown Fire Flame Length

Crown Fire Flame Length Model Comparison

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: C_FL ~ Status * Live_Fuel_Moisture + Status * Dead_Fuel_Moisture + Status * Live_Biomass + Status * Dead_Biomass + Status * Litter_Biomass + Status * TreeBH 
##    Data: fb (Number of observations: 1458) 
##   Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
##          total post-warmup draws = 4000
## 
## Regression Coefficients:
##                                      Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                                1.60      0.03     1.54     1.67 1.00
## StatusInvaded                           -0.41      0.05    -0.51    -0.31 1.00
## Live_Fuel_MoistureLow                    0.60      0.02     0.56     0.63 1.00
## Live_Fuel_MoistureHigh                  -0.51      0.02    -0.55    -0.48 1.00
## Dead_Fuel_MoistureLow                    0.71      0.01     0.69     0.74 1.00
## Dead_Fuel_MoistureHigh                  -3.40      0.03    -3.47    -3.35 1.00
## Live_BiomassLow                         -0.01      0.02    -0.05     0.02 1.00
## Live_BiomassHigh                         0.02      0.02    -0.01     0.05 1.00
## Dead_BiomassLow                         -0.02      0.02    -0.06     0.01 1.00
## Dead_BiomassHigh                         0.03      0.02    -0.01     0.06 1.00
## Litter_BiomassLow                       -0.16      0.02    -0.19    -0.13 1.00
## Litter_BiomassHigh                       0.08      0.02     0.05     0.12 1.00
## TreeBH                                   0.24      0.00     0.23     0.24 1.00
## StatusInvaded:Live_Fuel_MoistureLow     -0.21      0.03    -0.26    -0.16 1.00
## StatusInvaded:Live_Fuel_MoistureHigh     0.19      0.03     0.14     0.25 1.00
## StatusInvaded:Dead_Fuel_MoistureLow      0.44      0.02     0.39     0.49 1.00
## StatusInvaded:Dead_Fuel_MoistureHigh     0.75      0.05     0.66     0.84 1.00
## StatusInvaded:Live_BiomassLow            0.03      0.03    -0.02     0.08 1.00
## StatusInvaded:Live_BiomassHigh          -0.04      0.03    -0.09     0.01 1.00
## StatusInvaded:Dead_BiomassLow           -0.08      0.03    -0.13    -0.03 1.00
## StatusInvaded:Dead_BiomassHigh           0.09      0.03     0.04     0.15 1.00
## StatusInvaded:Litter_BiomassLow         -0.03      0.03    -0.08     0.03 1.00
## StatusInvaded:Litter_BiomassHigh         0.08      0.03     0.03     0.13 1.00
## StatusInvaded:TreeBH                    -0.05      0.01    -0.06    -0.04 1.00
##                                      Bulk_ESS Tail_ESS
## Intercept                                3077     2868
## StatusInvaded                            2876     3084
## Live_Fuel_MoistureLow                    4079     3424
## Live_Fuel_MoistureHigh                   3849     3274
## Dead_Fuel_MoistureLow                    4165     3608
## Dead_Fuel_MoistureHigh                   3781     2999
## Live_BiomassLow                          3337     3210
## Live_BiomassHigh                         3466     3392
## Dead_BiomassLow                          3571     2998
## Dead_BiomassHigh                         3422     3267
## Litter_BiomassLow                        3445     3331
## Litter_BiomassHigh                       3513     3058
## TreeBH                                   4098     2723
## StatusInvaded:Live_Fuel_MoistureLow      4099     3421
## StatusInvaded:Live_Fuel_MoistureHigh     3527     3358
## StatusInvaded:Dead_Fuel_MoistureLow      3731     2976
## StatusInvaded:Dead_Fuel_MoistureHigh     3878     3051
## StatusInvaded:Live_BiomassLow            3586     3075
## StatusInvaded:Live_BiomassHigh           3355     2982
## StatusInvaded:Dead_BiomassLow            3130     3031
## StatusInvaded:Dead_BiomassHigh           2945     2515
## StatusInvaded:Litter_BiomassLow          3807     3251
## StatusInvaded:Litter_BiomassHigh         3496     2999
## StatusInvaded:TreeBH                     3629     3058
## 
## Further Distributional Parameters:
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     0.15      0.01     0.14     0.17 1.00     3343     3056
## nu        1.48      0.10     1.30     1.71 1.00     3725     2927
## 
## 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

Crown Fire Flame Length Conditional Effects

## `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: Removed 2 rows containing missing values or values outside the scale range
## (`geom_point()`).
## Warning: Removed 2 rows containing missing values or values outside the scale range
## (`geom_line()`).
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

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

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

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