Handbook of Quantitative Ecology
by Justin Kitzes
University of Chicago Press, 2022
Cloth: 978-0-226-81832-0 | Paper: 978-0-226-81834-4 | Electronic: 978-0-226-81833-7
DOI: 10.7208/chicago/9780226818337.001.0001

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University of Chicago Press (cloth, paper, ebook)
ABOUT THIS BOOKAUTHOR BIOGRAPHYREVIEWSTABLE OF CONTENTS

ABOUT THIS BOOK

An essential guide to quantitative research methods in ecology and conservation biology, accessible for even the most math-averse student or professional.

Quantitative research techniques have become increasingly important in ecology and conservation biology, but the sheer breadth of methods that must be understood—from population modeling and probabilistic thinking to modern statistics, simulation, and data science—and a lack of computational or mathematics training have hindered quantitative literacy in these fields. In this book, ecologist Justin Kitzes addresses those challenges for students and practicing scientists alike.

Requiring only basic algebra and the ability to use a spreadsheet, Handbook of Quantitative Ecology is designed to provide a practical, intuitive, and integrated introduction to widely used quantitative methods. Kitzes builds each chapter around a specific ecological problem and arrives, step by step, at a general principle through the process of solving that problem. Grouped into five broad categories—difference equations, probability, matrix models, likelihood statistics, and other numerical methods—the book introduces basic concepts, starting with exponential and logistic growth, and helps readers to understand the field’s more advanced subjects, such as bootstrapping, stochastic optimization, and cellular automata. Complete with online solutions to all numerical problems, Kitzes’s Handbook of Quantitative Ecology is an ideal coursebook for both undergraduate and graduate students of ecology, as well as a useful and necessary resource for mathematically out-of-practice scientists.

AUTHOR BIOGRAPHY

Justin Kitzes is assistant professor of biological sciences at the University of Pittsburgh. He is coeditor of The Practice of Reproducible Research:Case Studies and Lessons from the Data-Intensive Sciences.

REVIEWS

“A stroke of genius. Kitzes does an excellent job of translating the properties of biological systems into mathematical models, using basic logic and without any advanced math. His approach is a powerful way to demystify these models and make them intuitive.”
— Corlett Wolfe Wood, University of Pennsylvania

“A low-threshold, high-ceiling introduction. Kitzes’s book will appeal to undergraduate and graduate students who wish to increase their quantitative understanding to be able to better engage with the literature (which has grown increasingly quantitative) and take the first step—a large leap, in fact—toward becoming practitioners of quantitative ecology.”
— Andrew Rominger, University of Maine

"Quantitative ecology is the application of mathematical modeling and probability theory to ecological concepts. Kitzes provides a short introduction to the quantitative methods most relevant to an introductory undergraduate course in ecology. In addition to short chapters introducing the methods of quantitative ecology, 20 chapters each present a simple example that can be studied through a quantitative method. Each chapter extends to four or five pages. After presenting the chapter's problem, the appropriate mathematical method is explained. Kitzes presents readers with specific instructions on setting up the mathematical model in a spreadsheet. His writing style is very clear, employing only minimal jargon. The mathematics is limited to algebra, presenting a low barrier to students without much mathematical background. The methods include difference equations, probability, matrix models, and several others. . . . Recommended."
— Choice

"Handbook of Quantitative Ecology is most valuable. The book clearly, briefly, and gently introduces readers to many quantitative approaches one can find used in ecology today. . . . This book can (and should) be given to the enthusiastic undergraduate with an interest in ecology, the master’s or PhD student with little to no mathematical training, or a professor looking to develop or reshape a course in quantitative biology. The author beautifully illustrates how effective quantitative analysis can be for solving ecological questions."
— Quarterly Review of Biology

TABLE OF CONTENTS

Introduction

Part I. Change over Time

1. Introducing Difference Equations

2. Duckweed on a Pond: Exponential Growth

3. Throwing Shade I: Logistic Growth

4. Throwing Shade II: Lotka-Volterra Competition

5. Rabies Removal: SIR Models

Part II. Understanding Uncertainty

6. Introducing Probability

7. A Bird in the Cam I: Single-Variable Probability

8. A Bird in the Cam II: Two-Variable Probability

9. Picking Ticks: Bayes’s Rule

10. Rabbit Rates: Probability Distributions

Part III. Modeling Multiple States

11. Introducing Matrix Models

12. Imagine All the Beetles: Age-Structured Models

13. The Road to Succession: Transition Matrices

14. A Pair of Populations: Absorption

15. Fish Finders: Diffusion

Part IV. Explaining Data

16. Introducing Statistics

17. Seedling Counts I: Maximum Likelihood

18. Seedling Counts II: Model Selection

19. Flattened Frogs I: Generalized Linear Models

20. Flattened Frogs II: Hypothesis Testing

Part V. Expanding the Toolbox

21. Other Techniques

22. Bird Islands: Graphical Thinking

23. Max Plant Institute: Optimization

24. Bears with Me: Stochastic Simulation

25. Natives in the Neighborhood: Cellular Automata

References

Index