Data-driven Modelling of Structured Populations

A Practical Guide to the Integral Projection Model

  • Stephen P. Ellner
  • Dylan Z. Childs
  • Mark Rees

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Stephen P. Ellner, Dylan Z. Childs, Mark Rees
    Pages 1-8
  3. Stephen P. Ellner, Dylan Z. Childs, Mark Rees
    Pages 9-56
  4. Stephen P. Ellner, Dylan Z. Childs, Mark Rees
    Pages 57-85
  5. Stephen P. Ellner, Dylan Z. Childs, Mark Rees
    Pages 87-109
  6. Stephen P. Ellner, Dylan Z. Childs, Mark Rees
    Pages 111-138
  7. Stephen P. Ellner, Dylan Z. Childs, Mark Rees
    Pages 139-185
  8. Stephen P. Ellner, Dylan Z. Childs, Mark Rees
    Pages 187-227
  9. Stephen P. Ellner, Dylan Z. Childs, Mark Rees
    Pages 229-254
  10. Stephen P. Ellner, Dylan Z. Childs, Mark Rees
    Pages 255-282
  11. Stephen P. Ellner, Dylan Z. Childs, Mark Rees
    Pages 283-314
  12. Back Matter
    Pages 315-329

About this book

Introduction

This book is a “How To” guide for modeling population dynamics using Integral Projection Models (IPM) starting from observational data. It is written by a leading research team in this area and includes code in the R language (in the text and online) to carry out all computations. The intended audience are ecologists, evolutionary biologists, and mathematical biologists interested in developing data-driven models for animal and plant populations. IPMs may seem hard as they involve integrals. The aim of this book is to demystify IPMs, so they become the model of choice for populations structured by size or other continuously varying traits. The book uses real examples of increasing complexity to show how the life-cycle of the study organism naturally leads to the appropriate statistical analysis, which leads directly to the IPM itself. A wide range of model types and analyses are presented, including model construction, computational methods, and the underlying theory, with the more technical material in Boxes and Appendices. Self-contained R code which replicates all of the figures and calculations within the text is available to readers on GitHub.

Stephen P. Ellner is Horace White Professor of Ecology and Evolutionary Biology at Cornell University, USA; Dylan Z. Childs is Lecturer and NERC Postdoctoral Fellow in the Department of Animal and Plant Sciences at The University of Sheffield, UK; Mark Rees is Professor in the Department of Animal and Plant Sciences at The University of Sheffield, UK.

Keywords

Demographic measures Deterministic IPM using R Environmental Stochasticity Integral Projection Models Perturbation Analysis Structured Populations Population Dynamics Integral Operators Mathematical Ecology

Authors and affiliations

  • Stephen P. Ellner
    • 1
  • Dylan Z. Childs
    • 2
  • Mark Rees
    • 3
  1. 1.Ecology & Evolutionary BiologyCornell University, Corson HallIthacaUSA
  2. 2.Animal and Plant SciencesUniversity of SheffieldYorkshireUnited Kingdom
  3. 3.Animal Plant and SciencesUniversity of SheffieldYorkshireUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-28893-2
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-28891-8
  • Online ISBN 978-3-319-28893-2
  • Series Print ISSN 2193-4789
  • Series Online ISSN 2193-4797
  • About this book