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Modeling Behavior and Population Dynamics

Seabirds, Seals, and Marine Iguanas

  • Book
  • © 2023

Overview

  • Presents unique modeling of dynamical systems for animal behavior in vertebrates
  • Written in accessible style for both mathematicians and ecologists
  • Incorporates realistic models linked to field data

Part of the book series: Interdisciplinary Applied Mathematics (IAM, volume 57)

  • 4281 Accesses

  • 2 Citations

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About this book

This monograph summarizes several decades of collaborations between ecologists and mathematicians, presenting novel applications in biological modeling. The authors are among the first researchers to pioneer the use of dynamical systems models to successfully describe and predict animal behavior in relation to environmental changes. The text highlights the biological and mathematical techniques used in the research, including three main components: 1) large data sets on natural populations in the field; 2) mathematical models rigorously tied to data, which describe, explain, and predict behavioral dynamics in relation to environmental variables; and 3) simplified, proof-of-concept models to probe dynamic mechanisms, suggest testable hypotheses, and allow study of the consequences of environmental change and evolving traits. It is a suitable text for field ecologists interested in the modeling procedures and conclusions addressed therein, as well as mathematicians interested inapplications to population, ecological, and evolutionary dynamics.



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Table of contents (13 chapters)

  1. Part I

  2. Part II

  3. Part III

Reviews

"This outstanding monograph makes a forceful case that mathematical and empirical rigour can be successfully combined to explain complex behaviours of often fragile populations, impacted strongly by human industry. ... it should be of interest both to applied mathematicians looking to apply their work to more urgent hypothesis-driven science, and field ecologists who are looking for examples of how to build models of quantitative, accurate models of behaviour using relatively simple and deterministic mathematical tools.” (Chay Paterson, zbMATH 1554.92002, 2025)

Authors and Affiliations

  • Department of Mathematics, University of Arizona, Tucson, USA

    Jim M. Cushing

  • Department of Mathematics and Department of Biology, Andrews University, Berrien Springs, USA

    Shandelle M. Henson

  • Department of Biology, Andrews University, Berrien Springs, USA

    James L. Hayward

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Bibliographic Information

  • Book Title: Modeling Behavior and Population Dynamics

  • Book Subtitle: Seabirds, Seals, and Marine Iguanas

  • Authors: Jim M. Cushing, Shandelle M. Henson, James L. Hayward

  • Series Title: Interdisciplinary Applied Mathematics

  • DOI: https://doi.org/10.1007/978-3-031-34283-7

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Hardcover ISBN: 978-3-031-34282-0Published: 28 December 2023

  • Softcover ISBN: 978-3-031-34285-1Published: 29 December 2024

  • eBook ISBN: 978-3-031-34283-7Published: 27 December 2023

  • Series ISSN: 0939-6047

  • Series E-ISSN: 2196-9973

  • Edition Number: 1

  • Number of Pages: XX, 289

  • Number of Illustrations: 36 b/w illustrations

  • Topics: Mathematical and Computational Biology, Mathematics of Planet Earth

Keywords

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