Animal population social structure models
Publisher DOI
Abstract
We develop a new class of mathematical ranking models for the purpose of quantifying the social structure in animal populations. Our approach is based on taking into account both the interaction between single individuals as well as their role within their community as a whole. From a mathematical point of view, these models are (possibly nonlinear) eigenvalue problems for column stochastic matrices. In order to provide a procedure for their computational treatment, we derive a suitable Newton iteration method on simplexes.
Date Issued
2017
Publication Type
Article
Subject(s)
Language(s)
en
Author(s)
Additional Credits
Journal
IMA journal of applied mathematics
Publisher
Oxford University Press
ISSN
0272-4960
Access(Rights)
open.access