Species–Area Relationship

S = cAz — power-law biodiversity and the fragmentation cost to ecosystems

SAR Parameters

Fragmentation

Predictions

Species (intact A₀)
Species (per fragment)
Total species (fragments)
Species lost
% biodiversity lost
z typically 0.25–0.30 for mainland. Fragmentation: same total area, but split into N patches each with area A₀/N, losing species to edge effects and isolation.