Exploring the spatial patterns of Gaussian Path Sampling

Modified

May 8, 2025

File labeling structure

{site_name}_{depth|disch}_{resolution}_{particle density}_{seed}

Mean Value

The mean value shows the smoothed result of taking the mean output from 10 model runs. This in practice multiplies the number of particles used by 10 times.

Mean Depth

Clay-Center Output Step 5 min

Clay-Center Output Step 10 min

Clay-Center Output Step 15 min

Clay-Center Output Step 25 min

Clay-Center Output Step 30 min

Mean Discharge

Clay-Center Output Step 5 min

Clay-Center Output Step 10 min

Clay-Center Output Step 15 min

Clay-Center Output Step 25 min

Clay-Center Output Step 30 min

Median Value

The median smoothed results of taking the median output from 10 model runs. This in practice multiplies the number of particles used by 10 times.

Clay-Center Output Step 5 min

Clay-Center Output Step 10 min

Clay-Center Output Step 15 min

Clay-Center Output Step 25 min

Clay-Center Output Step 30 min

Maximum Value

Max Depth

Clay-Center Output Step 5 min

Clay-Center Output Step 10 min

Clay-Center Output Step 15 min

Clay-Center Output Step 25 min

Clay-Center Output Step 30 min

Max Discharge

Clay-Center Output Step 5 min

Clay-Center Output Step 10 min

Clay-Center Output Step 15 min

Clay-Center Output Step 20 min

Clay-Center Output Step 25 min

Clay-Center Output Step 30 min

Minimum

Clay-Center Output Step 5 min

Clay-Center Output Step 10 min

Clay-Center Output Step 15 min

Clay-Center Output Step 25 min

Clay-Center Output Step 30 min

Range

Clay-Center Output Step 5 min

Clay-Center Output Step 10 min

Clay-Center Output Step 15 min

Clay-Center Output Step 25 min

Clay-Center Output Step 30 min

Standard Deviation

Clay-Center Output Step 5 min

Clay-Center Output Step 10 min

Clay-Center Output Step 15 min

Clay-Center Output Step 25 min

Clay-Center Output Step 30 min

Max Raster

These visualizations represent each walkers vairablilty due to SIMWEs use of the gaussian path sampling method for particles. Each color represents the output raster that contained the maximum values for the cell.

All simulatation are run at \(1 m\) resolution:

10 Seeds

In this figure the output maximum depth rasters were created using r.series filtering the data based on the scheme 1_1_* where 1 represents 1 meter spatial resolution, the particle density is 1, so the number of paritcles is equal to the number of cells, and * is a wildcard for the seed that was used when executing r.sim.water.

Clay-Center Max Raster 2 Maximum Depth Output Variablity via Gaussian Path Sampling

Variablility based on Particle Density

Here the the outputs are all from the same seed with varibale particle density (1_*_1)

Clay-Center Max Raster 3