Habitat Fragmentation Index Calculator Formula

Understand the math behind the habitat fragmentation index calculator. Each variable explained with a worked example.

Formulas Used

Mean Patch Size

mean_patch_size = avg_patch_size

Largest Patch Index

largest_patch_index = largest_patch_area / total_habitat_area * 100

Patch Density

patch_density = num_patches / total_habitat_area * 100

Variables

VariableDescriptionDefault
total_habitat_areaTotal Habitat Area(km²)1000
num_patchesNumber of Patches20
largest_patch_areaLargest Patch Area(km²)400
avg_patch_sizeDerived value= total_habitat_area / num_patchescalculated

How It Works

Measuring Habitat Fragmentation

Habitat fragmentation divides continuous ecosystems into smaller, isolated patches, reducing biodiversity and wildlife movement.

Key Metrics

Mean Patch Size = Total Habitat Area / Number of Patches

Largest Patch Index (LPI) = Largest Patch / Total Area x 100%

A high LPI indicates one dominant patch with good core habitat. Low mean patch size and high patch count indicate severe fragmentation. Species requiring large home ranges are most vulnerable to fragmentation.

Worked Example

1,000 km² of forest split into 20 patches, with the largest being 400 km².

total_habitat_area = 1000num_patches = 20largest_patch_area = 400
  1. 01Mean patch size = 1,000 / 20 = 50 km²
  2. 02Largest Patch Index = 400 / 1,000 x 100 = 40%
  3. 03Patch density = 20 / 1,000 x 100 = 2.0 patches per 100 km²