Academic Journal

A periodic Markov model to formalize animal migration on a network

Bibliographic Details
Title: A periodic Markov model to formalize animal migration on a network
Authors: Andrea Kölzsch, Erik Kleyheeg, Helmut Kruckenberg, Michael Kaatz, Bernd Blasius
Source: Royal Society Open Science, Vol 5, Iss 6 (2018)
Publisher Information: The Royal Society, 2018.
Publication Year: 2018
Collection: LCC:Science
Subject Terms: spatial migration network, graph theory, periodic markov process, white stork, greater white-fronted goose, Science
Description: Regular, long-distance migrations of thousands of animal species have consequences for the ecosystems that they visit, modifying trophic interactions and transporting many non-pathogenic and pathogenic organisms. The spatial structure and dynamic properties of animal migrations and population flyways largely determine those trophic and transport effects, but are yet poorly studied. As a basis, we propose a periodic Markov model on the spatial migration network of breeding, stopover and wintering sites to formally describe the process of animal migration on the population level. From seasonally changing transition rates we derived stable, seasonal densities of animals at the network nodes. We parametrized the model with high-quality GPS and satellite telemetry tracks of white storks (Ciconia ciconia) and greater white-fronted geese (Anser a. albifrons). Topological and network flow properties of the two derived networks conform to migration properties like seasonally changing connectivity and shared, directed movement. Thus, the model realistically describes the migration movement of complete populations and can become an important tool to study the effects of climate and habitat change and pathogen spread on migratory animals. Furthermore, the property of periodically changing transition rates makes it a new type of complex model and we need to understand its dynamic properties.
Document Type: article
File Description: electronic resource
Language: English
ISSN: 2054-5703
Relation: https://doaj.org/toc/2054-5703
DOI: 10.1098/rsos.180438
Access URL: https://doaj.org/article/e4976bafaa7f417aba409d1bb5f53375
Accession Number: edsdoj.4976bafaa7f417aba409d1bb5f53375
Database: Directory of Open Access Journals
Description
ISSN:20545703
DOI:10.1098/rsos.180438