Each of the 100 land patches has a habitat health value that rises toward 1 under restoration effort (replanting, soil repair, invasive removal) and slowly degrades without it. Each reintroduced species grows logistically toward a carrying capacity set by average habitat health and, if wildlife corridors are open, a connectivity bonus that lets populations use fragmented patches as one larger habitat.
dH/dt = k_r·effort·(1-H) - k_d·H
dN_i/dt = r·N_i·(1 - N_i/K_i)
K_i = K_max·H_avg·(1 + 0.3·corridor)
H_shannon = -Σ p_i·ln(p_i), p_i = N_i / ΣN
- Restoration effort — sets replanting/repair intensity k_r·effort driving patch health H upward.
- Reintroduced species — how many species pools are actively supported; species above this count decay toward local extinction.
- Corridors — links fragmented patches, raising each species' effective carrying capacity K_i.
The Shannon index H_shannon is the same metric ecologists use in the field: it rewards both more species and more even population sizes between them, which is why healthy, connected reserves score higher than degraded monocultures.