Lecture Notes on Mathematical Modelling in the Life Sciences

Data-driven Modelling of Structured Populations

A Practical Guide to the Integral Projection Model

Authors: Ellner, Stephen P., Childs, Dylan Z., Rees, Mark

  • The only comprehensive monograph on Integral Projection Models in ecology
  • Accessible to beginners with minimal math and statistics background, but also includes cutting-edge research
  • Presents a wide range of models, from simple to complex
  • All steps are illustrated in the text by code in the open-source R language
  • Complete code for all analyses and results provided online via GitHub
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eBook $64.99
price for USA (gross)
  • ISBN 978-3-319-28893-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $84.00
price for USA
  • ISBN 978-3-319-28891-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.


About the authors

Stephen Ellner is a Horace White Professor of EEB at Cornell University, Department of Ecology and Evolutionary Biology. His general interests are in theoretical population biology and evolutionary ecology.

Dylan Childs is an NERC Postdoctoral Fellow at the University of Sheffield. His key research interests include life history theory, evolutionary demography, structured population modeling, and host-parasite dynamics. 

Mark Rees is a Professor in the Department of Animal and Plant Sciences at the University of Sheffield. His key research interests include evolution of plant reproductive strategies, modeling and management strategies for weed populations, population biology of invasive plants, and modeling structured populations using integral projection models.

Table of contents (10 chapters)

  • Introduction

    Ellner, Stephen P. (et al.)

    Pages 1-8

  • Simple Deterministic IPM

    Ellner, Stephen P. (et al.)

    Pages 9-56

  • Basic Analyses 1: Demographic Measures and Events in the Life Cycle

    Ellner, Stephen P. (et al.)

    Pages 57-85

  • Basic Analyses 2: Prospective Perturbation Analysis

    Ellner, Stephen P. (et al.)

    Pages 87-109

  • Density Dependence

    Ellner, Stephen P. (et al.)

    Pages 111-138

Buy this book

eBook $64.99
price for USA (gross)
  • ISBN 978-3-319-28893-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $84.00
price for USA
  • ISBN 978-3-319-28891-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Data-driven Modelling of Structured Populations
Book Subtitle
A Practical Guide to the Integral Projection Model
Authors
Series Title
Lecture Notes on Mathematical Modelling in the Life Sciences
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s) 2018
eBook ISBN
978-3-319-28893-2
DOI
10.1007/978-3-319-28893-2
Softcover ISBN
978-3-319-28891-8
Series ISSN
2193-4789
Edition Number
1
Number of Pages
XIII, 329
Number of Illustrations and Tables
38 b/w illustrations, 29 illustrations in colour
Topics