Validation
We validate all the implementation in MetaCommunityMetrics that have equvilant implementations in R to make sure the functions in MetaCommunityMetrics are correct and accurate as the equvilant functions in R. All validation results are presented to 4 decimal places (±0.0001) here. Floating-point differences between implementations smaller than 0.0001 were considered negligible for both statistical and ecological applications of these metrics.
Validation Result
Beta Diversity
*Absolute Differences between the results from MetaCommunityMetrics and the equvilant functions in R are shown here. All values *
| TestCase | BDtotal | Repl | RichDif |
|---|---|---|---|
| Beta Diversity (Abundance, quant=true) | 0.0000 | 0.0000 | 0.0000 |
| Beta Diversity (Abundance, quant=false) | 0.0000 | 0.0000 | 0.0000 |
| Beta Diversity (Presence, quant=false) | 0.0000 | 0.0000 | 0.0000 |
| Spatial Beta Diversity (Abundance, quant=true) | 0.0000 | 0.0000 | 0.0000 |
| Spatial Beta Diversity (Abundance, quant=false) | 0.0000 | 0.0000 | 0.0000 |
| Spatial Beta Diversity (Presence, quant=false) | 0.0000 | 0.0000 | 0.0000 |
| Temporal Beta Diversity (Abundance, quant=true) | 0.0000 | 0.0000 | 0.0000 |
| Temporal Beta Diversity (Abundance, quant=false) | 0.0000 | 0.0000 | 0.0000 |
| Temporal Beta Diversity (Presence, quant=false) | 0.0000 | 0.0000 | 0.0000 |
Dispersal-niche continuum index
*A plot showing the distribution of the DNCI values of diffent group pairs from R and Julia, each pair are ran for 100 times, with 1000 permutations each time. 
Occupied Patches Proportion
Absolute Differences between the results from MetaCommunityMetrics and the equvilant functions in R are shown here.
| minproppatches | meanproppatches | maxproppatches |
|---|---|---|
| 0.0000 | 0.0000 | 0.0000 |
Variability Metrics
Absolute Differences between the results from MetaCommunityMetrics and the equvilant functions in R are shown here.
| CVSL | CVCL | CVSR | CVCR |
|---|---|---|---|
| 0.0000 | 0.0000 | 0.0000 | 0.0000 |
Hypervolume
Absolute Differences between the results from MetaCommunityMetrics and the equvilant functions in R are shown here.
Volume
| total | correlation | Temperature | Precipitation |
|---|---|---|---|
| 0.0000 | 0.0000 | 0.0000 | 0.0000 |
Volume dissimilarity
| Metric | total | correlation | Temperature | Precipitation |
|---|---|---|---|---|
| Bhattacharyya_distance | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| Mahalanobis_distance | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| Determinant_ratio | 0.0000 | 0.0000 | 0.0000 | 0.0000 |