🦌 Antelope Herd Many-Eyes Vigilance: Group Size, Detection Distance and Foraging Trade-off Lab

A grazing antelope herd alternates between head-down feeding and head-up scanning while a stalking threat approaches. Group alarm probability 1-(1-b)^N, geometric detection delay and visibility set the expected warning distance, and holding the alarm rate fixed shows how each animal can scan less and eat more as the herd grows.