Probabilistic analysis of a genealogical model of animal group patterns

摘要: Many social animals live in stable groups, and it has been argued that kinship plays a major role their group formation process. In this study we present the mathematical analysis of recent model which uses as main factor to explain observed patterns finite sample individuals. We describe average number groups probability distribution sizes predicted by model. Our method is based on recursive equations underlying these quantities. obtain asymptotic equivalents for distributions moments size increases, exhibit power-law behaviours. Computer simulations are also utilized measure extent approximation can be applied with confidence.