List of Textbooks on Ecological Modelling
updated Apr 5, 2014
In late 1994 I asked about recommendations for (text)books on mathematical
models in ecology. The following is a list of the books that have been
recommended by listreaders, ordered by author. Bibliographical data
is included whereever I could get in hold of them. I boiled down the various
comments that have been made on the books to a few keywords in order
to keep this list readable; also splitting them in pro's and con's
according to my personal judgement (this of course depends on what you
ask from a book, pro's can turn into con's and vice versa in a
different situation).
Many thanks to the people who contributed to this list:
Göran Agren, Mark Andersen, John Blood, Berty van
Hensbergen, Brian Fath,
Patrick Foley, Gordon Fox,
Volker Grimm,
Lou Gross,
*Brian Inouye, Szilveszter Juhos,
Jan L. Korrubel, Tarzan Legovic, Tom Martin, Michael
McCarthy, Dave McNeely, Jeff Miner, C. W. Ramm, Nigel Roulet, Ali Saysel, Erik Shepard, Dave
Smith, Ward B. Strong, Andy Taylor, *Steve Vail,
Frank Weiler, Jack Weiss, Jon Wortley (comments from people with a leading "*"
were
included from an earlier summary on recommended books that I have been
sent). Numbers [n] after the entry denote the number of people who
mentioned this reference, if it was mentioned more than once, in case
you want to go where the crowd goes :).
If you have any comments or updates regarding this list please let me
know by email to
michael.knorrenschild "at" hsbochum.de
 1

Göran I.
Ågren
and Ernesto Bosatta.
Theoretical Ecosystem Ecology  Understanding Element Cycles.
Cambridge Univ. Press,
252p., ISBN 9780521580229 (hardback, 1997, 1.ed.), ISBN 9780521646512
(paperback, 1998, 2nd ed.), 1998.
+ contains problems, some with solutions,
additional information provided by the publisher(paperback).
 2

Göran I.
Ågren
and Folke Andersson.
Terrestrial Ecosystem Ecology  Principles and Applications.
Cambridge Univ. Press,
2012.
additional information provided by the publisher.
 3

H. Resit
Akcakaya, Mark
A.
Burgman,
and Lev R. Ginzburg.
Applied Population Ecology: principles and computer exercises
using RAMAS EcoLab 2.0, 2nd Edition.
Sinauer, ISBN
0878930280, 280 p., incl. CDROM, 1999.
additional information provided by the author(s).
 4

Roy M. Anderson and Robert M.
May.
The Dynamics of Human HostParasite Systems.
Princeton Univ.
Press, 1986.
seems to be out of print.
 5

Mustafa M.
Aral.
Environmental Modeling and Health Risk Analysis (Acts/Risk).
Springer, 462p., 2010.
additional information provided by the publisher.
 6

Edward Beltrami.
Mathematical Models in the Social and Biological Sciences.
Jones & Bartlett, Boston, 197 p., 1993.
+ 3 (out of 6) chapters on ecological models (incl. a
fishery model, measles epidemics, red tide model, pollution model, gray
squirrel dispersal model, and a gametheoretical fishery model).
 7

Ernst Berg and Friedrich Kuhlmann.
Systemanalyse und Simulation für Agrarwissenschaftler und
Biologen.
Ulmer, 344p., ISBN
3800140616, 1993.
In German; incl. 1 disk; methods and PASCALprograms for
modelling dynamical systems
seems to be out of print.
 8

Howard C. Berg.
Random walks in biology.
Princeton Univ.
Press, 164p., new ed., ISBN 0691000646, 1993.
additional information provided by the publisher.
 9

Hartmut
Bossel.
Modeling and Simulation.
CRC Press, 504 p., 1994.
+ a systems dynamics approach to modeling; so most of the
applications are drawn from natural resource modeling; great catalog of
elementary systems models; comes with software (the SIMPAS simulator,
PCbased) as well as STELLA diagrams
 no exercises; limited
bibliography
additional information provided by the publisher.
 10

D. Brown and P. Rothery.
Models in Biology: mathematics, statistics and computing.
Wiley, 708 p., ISBN
0471933228, 1993.
[3]
+ lots of (ecological) models, statistics and data, many
exercises and references, computer supplement available
 ignores age
structure
seems to be out of print.
 11

Michael Bulmer.
Theoretical Evolutionary Ecology.
Sinauer, 352 p., ISBN
0878930787, 1994.
+ focus on basic population modeling, life history
evolution, game theory, and evolution of sex. Has exercises
 very little
classical population genetics
seems to be out of print.
 12

Mark
Burgman,
Scott Ferson, and
H. Resit
Akcakaya.
Risk assessment in conservation biology, volume 12 of Population and Community Biology Series.
Springer, 328p., ISBN
9780412350306, 1993.
+ does more than the title might suggest, application of
population models to wildlife management
Review in Natural Resource
Modeling 8(1): 99102, 1994
Review in Trends in Ecol. & Evol., mid 1993
additional information provided by the publisher.
 13

Hal
Caswell.
Matrix Population Models: Construction, Analysis, and
Interpretation.
Sinauer, 722 p., 2nd ed.,
2001.
[2]
comments on the 1st ed. (1989): + extensive references
 no
exercises
2nd revised ed. includes new material on sensitivity analysis,
statistics, demographic stochasticity, and applications in conservation
biology.
Review in Ecol. Model., Vol. 148, no. 3, 2002, p. 307 
310
additional information provided by the publisher.
 14

Steven C.
Chapra.
Surface Water Quality Modelling.
Waveland Press, 844 p., 1997.
additional information provided by the publisher.
 15

Colin W. Clark.
Mathematical Bioeconomics: The Mathematics of Conservation.
Wiley, 400p., 2010 (3rd
ed.).
additional information provided by the publisher.
 16

Colin W. Clark and Marc
Mangel.
Dynamic State Variable Models in Ecology.
Oxford Univ. Press,
302p., 2000.
additional information provided by the publisher
additional information provided by the author(s).
 17

P. Coquillard and David R. C.
Hill.
modelisation et simulation d'ecosystemes. Des modeles
deterministes aux simulations a evenement discrets.
Masson, 274 p., ISBN 2225853630, 1997.
 in French, no exercises
additional information provided by the publisher,
additional information provided by the author(s),
review.
 18

M. R. Cullen.
Linear Models in BiologyLinear Systems Analysis with
Biological Applications.
Chichester: Horwood, 213p., ISBN 0853128359, 0853129053,
0470202068, 047020205X, 1985.
+ all classic linear methods discussed, most examples from
ecology; exercises
out of print.
 19

Virginia H.
Dale
(Editor).
Ecological Modeling for Resource Management.
Springer, 328p., ISBN
9780387954936, 2003.
additional information provided by the author(s),
additional information provided by the publisher.
 20

Don L.
DeAngelis.
Dynamics of Nutrient Cycling and Food Webs.
Kluwer Academic Publishers, 288 p., ISBN 0412298406, 1992.
+ extensive collection of models, many references
 no
exercises
seems to be out of print.
 21

Don L.
DeAngelis.
IndividualBased Models and Approaches on Ecology: Concepts and
Models.
Springer, 1992.
seems to be out of print.
 22

Leah EdelsteinKeshet.
Mathematical Models in Biology.
SIAM, 586p., 1988/2005.
[8]
+ good at how and why models are used, assumes only modest math
background, good homework problems, good coverage of continuous models

not solely about models in ecology, not so good coverage of discrete models,
no stochastic models, no Leslie matrix models, many errors in the exercises
additional information provided by the publisher,
additional information provided by the author(s).
 23

Scott Ferson
and
Mark
Burgman
(editors).
Quantitative Methods for Conservation Biology.
Springer, 322p., ISBN
9780387954868, 2002 (2nd printing).
additional information provided by the publisher.
 24

Andrew Ford.
Modeling the Environment: An Introduction to System Dynamics
Modeling of Environmental Systems.
Island Press, 488p.,
2009 (2nd ed.).
additional information provided by the publisher,
additional information provided by the author(s).
 25

Jay Forrester.
(any of his system dynamics books).
 26

Michael Gillman.
An Introduction to Mathematical Models in Ecology and Evolution:
Time and Space.
WileyBlackwell, 168p., 2nd
ed., 2009.
additional information provided by the publisher.
 27

Michael Gillman and Rosemary Hails.
Introduction to Ecological Modelling: Putting Practice into
Theory.
WileyBlackwell, 216p.,
1997.
additional information provided by the publisher.
 28

Nicholas J.
Gotelli.
A primer of ecology.
Sinauer, 206 p., 4th Ed.,
2008.
+ basic updating of the Wilson and Bossert classic, at low
mathematical level (comment on earlier edition)
additional information provided by the publisher.
 29

William E.
Grant,
Ellen K. Pedersen, and Sandra L. Marin.
Ecology and Natural Resource Management: Systems Analysis and
Simulation.
Wiley, 373p., ISBN
0471137863, 1997.
incl. CDROM;
additional information provided by the publisher.
 30

William E.
Grant
and
Todd M. Swannack.
Ecological Modeling: A CommonSense Approach to Theory and
Practice.
WileyBlackwell, 176p.,
ISBN 9781405161688, 2007.
additional information provided by the publisher.
 31

Volker Grimm
and
S. F. Railsback.
Individualbased Modeling and Ecology.
Princeton Univ.
Press, ISBN 9780691096667, 2005.
additional information provided by the publisher.
 32

William S. C.
Gurney
and
Roger M.
Nisbet.
Ecological Dynamics.
Oxford Univ. Press,
350p., 1998.
additional information provided by the author(s)
additional information provided by the publisher.
 33

James W. Haefner.
Modeling Biological Systems: Principles and Applications.
Springer, 480 p., 2nd
Ed., 2005.
+ contains exercises for each chapter
review of 1st ed.
in Forest Ecology and Management 96(1997) 185187, 2nd ed. comes with
CD
additional information provided by the publisher.
 34

Thomas G. Hallam
and
S. A. Levin, editors.
Mathematical Ecology: an Introduction, volume 17 of Biomathematics.
Springer, 457p., ISBN
3540136312, 0387136312, 1986.
seems to be out of print.
 35

Bruce Hannon
and Matthias Ruth.
Dynamic Modeling.
Springer, 250p., 1994,
2nd ed: 2001.
systems approach to modeling; covers more than ecological
models; is a tutorial in STELLA; comes with software (Mac or
Windows)
additional information provided by the publisher.
 36

Bruce Hannon
and Matthias Ruth.
Modelling Dynamic Biological Systems.
Springer, 400p., 1997,
2nd printing 1999.
includes CDROM with STELLA runtime software (for Mac and Win)
review in Ecological Modelling 109 (1998), no.1,
additional information provided by the publisher.
 37

Ray Hilborn
and
Marc Mangel.
The Ecological Detective  Confronting Models with Data.
Monographs in Population Biology, no. 28.
Princeton Univ. Press, 330p.,
ISBN 0691034966 (cloth), 0691034974 (paperback), 1997.
additional information provided by the publisher
additional information provided by the author(s).
 38

Frank C. Hoppensteadt.
Mathematical methods of population biology, volume 4 of Cambridge studies in mathematical biology.
Cambridge Univ. Press,
149p., ISBN 0521238463, 052128256X, 1982.
+ good intro to topic
 population dynamics
only
additional information provided by the publisher.
 39

Clark Jeffries.
Mathematical Modeling in Ecologya Workbook for Students.
Springer, 193 p., ISBN
0817634216, 1989.
thin, eclectic book; easily covered in a semester; a
dynamical systems approach to ecosystem modeling; see review in Ecology Vol.
71:24002401 (1990)
+ exercises with solutions
 limited references for
each chapter
additional information provided by the publisher.
 40

S. E. Jørgensen and G. Bendoricchio.
Fundamentals of Ecological Modelling.
Elsevier, 544p., 3nd
edition, 2001.
additional information provided by the publisher
out of print, but available as eBook.
 41

Fred Jopp, Hauke
Reuter, and Broder Breckling
(Editors).
Modelling Complex Ecological Dynamics.
Springer, 413p., ISBN
9783642050282, 2011.
additional information provided by the author(s),
additional information provided by the publisher.
 42

Robert E. Keen
and
James D. Spain.
Computer simulation in biology: a BASIC introduction.
Wiley, 516p., incl. disk,
ISBN 047150971X, 1992.
[3]
+ assumes only elementary knowledge of calculus and linear
algebra, goes from simple growth models to complex simulation models,
ecological examples, strong emphasis on programming
 examples are in
BASIC
seems to be out of print.
 43

Sharon E.
Kingsland.
Modeling Nature.
The Univ. of Chicago
Press, 2nd Ed., ISBN 0226437280 (paperback),
1995.
+ very nice history of ecological modelling with an accent
on contributions from USA
 not balanced
additional information provided by the publisher.
 44

Mark
Kot.
Elements of Mathematical Ecology.
Cambridge Univ. Press,
464p., ISBN13: 9780521001502 (paperback), ISBN13: 9780521802130 (hardback),
2001.
additional information provided by the publisher.
 45

S. A. Levin,
T. G. Hallam, and
L. J. Gross, editors.
Applied Mathematical Ecology, volume 18 of Biomathematics.
Springer, ISBN
3540194657, 1989.
 46

Dmitrii O. Logofet.
Matrices and GraphsStability Problems in Mathematical
Ecology.
CRC Press, 308p., ISBN
0849342465, 1993.
Deals only with issues of multicomponent and multispecies
assemblages with emphasis on Lyapunov stability. Topics include Leslie
models, graphtheoretical analysis, food webs, competition, spatial
distribution
 no exercises
seems to be out of print.
 47

H. MarcusRoberts and M. Thompson, editors.
Life Science Models.
Springer, 366p., ISBN
0387907394, 3540907394, 1983.
seems to be out of print.
 48

Robert M.
May.
Stability and Complexity in Model Ecosystems.
Monographs in Population Biology, no. 6. Princeton
Univ. Press, 292p., ISBN 0691088616
(paperback), 2001 (2nd ed.).
+ classic
 no exercises
additional information provided by the publisher.
 49

John Maynard Smith.
Mathematical Ideas in Biology.
Cambridge Univ. Press,
152p., 1968.
additional information provided by the publisher.
 50

John Maynard Smith.
Models in Ecology.
Cambridge Univ. Press,
146p., 1978.
[2]
+ old, but a classic, insightful text
 no exercises
additional information provided by the publisher.
 51

John Maynard Smith.
Evolution and the Theory of Games.
Cambridge Univ. Press,
224p., 1982.
additional information provided by the publisher.
 52

C. Müller.
Modelling Soil Biosphere Interactions.
Oxford Univ. Press,
360p., 2000.
 53

J. D.
Murray.
Mathematical Biology: I. An Introduction, volume 17 of Interdisciplinary Applied Mathematics.
Springer, 551p., ISBN
0387952233, 3rd ed., 2002.
additional information provided by the publisher.
 54

J. D.
Murray.
Mathematical Biology II: Spatial models and Medical
Applications, volume 18 of Interdisciplinary Applied Mathematics.
Springer, 811p., ISBN
0387952284, 3rd ed., 2003.
[2]
Review in SIAM Review 32(1990), 487489
additional information provided by the publisher.
 55

Roger M.
Nisbet
and
William S. C.
Gurney.
Modelling Fluctuating Populations.
Wiley, 379p., ISBN
0471280585, 1982.
+ good for discrete models
 out of date
seems to be
out of print.
 56

Howard T. Odum and Elizabeth C. Odum.
Modeling for All Scales.
Academic Press, eBook,
2000.
additional information provided by the publisher.
 57

Akira Okubo and S. A.
Levin.
Diffusion and ecological problems, volume 14 of Biomathematics.
Springer, 467p., ISBN
0387986766, 2nd ed., 2001.
additional information provided by the publisher.
 58

John
Pastor.
Mathematical Ecology of Population and Ecosystems.
WileyBlackwell, 344p.,
2008.
additional information provided by the publisher.
 59

Bernard C.
Patten
and Sven E.
Jørgensen, editors.
Complex Ecology: The PartWhole Relation in Ecosystems.
Prentice Hall, 736p.,
ISBN 0131615068, 1994.
+ from advanced to philosophical approaches to ecosystem
theory
 not for beginners
seems to be out of print.
 60

E. C. Pielou.
Population and Community Ecology: Principles and Methods.
Gordon and Breach, 424 p.,
ISBN 0677035802, 1974.
+ lowerlevel more widely ranging coverage of mathematical
ecology than her "Mathematical Ecology"; very clear development of
theory
 no exercises
seems to be out of print.
 61

E. C. Pielou.
Mathematical Ecology.
Wiley, 385 p., ISBN
0471019933, 1977.
[3]
covers stochastic and deterministic population models, spatial
models, predation, competition, diffusion models, diversity, as well as
multivariate statistical techniques such as ordination, CCA, and discriminant
analysis
+ a classic, good reference
 out of date, no exercises
seems
to be out of print.
 62 new Apr 5, 2014

S. F. Railsback
and
Volker Grimm.
AgentBased and IndividualBased Modeling: A Practical
Introduction.
Princeton Univ. Press
352 p,, 2011.
additional information provided by the publisher,
additional information provided by the author(s).
 63

Anu
Ramaswami,
Jana B.
Milford, and
Mitchell J.
Small.
Integrated Environmental Modeling: Pollutant Transport, Fate,
and Risk in the Environment.
Wiley, 688p., 2005.
additional information provided by the publisher.
 64

Eric
Renshaw.
Modelling biological populations in space and time, volume 11
of Cambridge studies in mathematical biology.
Cambridge Univ. Press,
403p., ISBN 0521448557, 1993.
[3]
An advanced book. Covers discrete and continuous, deterministic
and stochastic models. Covers all the standard topics (competition,
predatorprey, birthdeath processes, epidemics) plus population growth
models with time lags and spatial population models
 no
exercises
additional information provided by the publisher.
 65

Fred S. Roberts.
Discrete Mathematical Models, with applications to Social,
Biological and Environmental Problems.
Pearson Higher
Education, 559p., 1976.
additional information provided by the publisher.
 66

Michael R.
Rose.
Quantitative Ecological TheoryAn Introduction to Basic
Models.
Johns Hopkins University
Press, 203 p., ISBN 0709922892, 0709922884,
1987.
[2]
Essentially the lecture notes for a course in theoretical
ecology. Topics include population growth, competition, predation, simple
ecosystems, complex ecosystems, and migration.
+ very clear, intuitive
development of the mathematics
 no exercises, primitive typesetting
out
of print.
 67

Joan Roughgarden,
Robert M.
May, and
S. A. Levin
(Editors).
Perspectives in ecological theory.
Princeton Univ.
Press, 394p., ISBN 0691085072, 0691085080,
1989.
[2]
review
out of print
additional information provided by the publisher.
 68

T. Royama.
Analytical Population Dynamics.
Springer, 392p., ISBN
0412243202 (hardcover, 1992), ISBN 041275570X (paperback, 1996),
1992/1996.
hardcover:
additional information provided by the publisher.
 69

David C.
Schneider.
Quantitative Ecology: Spatial and Temporal Scaling.
Elsevier, 432p., 2009
(2nd ed.).
Focuses entirely on issues of scale in ecology, with very
basic models for allometry, spatial scaling and units and dimensionality
discussed
additional information provided by the publisher.
 70

Jerald
Schnoor.
Environmental Modeling: Fate and Transport of Pollutants in
Water, Air, and Soil.
Wiley, 704p., ISBN
9780471124368, 1996.
additional information provided by the publisher.
 71

Lee A. Segel.
Modeling Dynamic Phenomena in Molecular and Cellular Biology.
Cambridge Univ. Press,
1984.
additional information provided by the publisher.
 72

Alexei Sharov.
Quantitative Population Ecology.
OnLine
Course.
 73

Kristina Smitalova and Stefan Sujan.
A Mathematical Treatment of Dynamical Models in Biological
Science.
Ellis Horwood, 183p., ISBN 0132217716, 8022402451, 1991.
Deals exclusively with the mathematical theory of
community models  single species, twospecies, and nspecies ending with a
chapter on chaos theory in ecology.
+ many references
 no exercises.
 74

Jo Smith and Pete Smith.
Environmental Modelling  An Introduction.
Oxford Univ. Press,
190p., 2007.
additional information provided by the publisher.
 75

A. M.
Starfield
and A. L.
Bleloch.
Building models for conservation and wildlife management.
Burgess Intl., ISBN 0808777904, 2nd Ed. (paperback), 1991.
[2]
+ easy to read, plenty of good explanation.
 76

A. M.
Starfield, K. A.
Smith, and A. L. Bleloch.
How to model it: problem solving for the computer age.
McGrawHill, 206p., ISBN
0070058970, 1990.
+ good introduction to the modelling process in general,
comes (in the 2nd ed.) with a disk that contains the spreadsheet examples and
WinEXPERT (a small expert system).
 77

G. L. Swartzman and S. P. Kaluzny.
Ecological Simulation Primer.
New York: MacMillan, 370p., 1987.
out of print.
 78

G. W. Suter, editor.
Ecological Risk Assessment.
Lewis Publishers, ISBN 0873718755, 2006 (2nd ed.).
additional information provided by the publisher.
 79

Y. Takeuchi, Y. Iwasa, and K. Sato, editors.
Mathematics for Life Sciences and Medicine.
Biological and Medical Physics, Biomedical Engineering.
Springer, 227p., ISBN
9783540344254, 2007.
additional information provided by the publisher.
 80

Y. Takeuchi, Y. Iwasa, and K. Sato, editors.
Mathematics for Ecology and Environmental Sciences.
Biological and Medical Physics, Biomedical Engineering.
Springer, 183p., ISBN
9783540344278, 2007.
additional information provided by the publisher.
 81

John H. M.
Thornley
and J. France.
Mathematical Models in Agriculture: Quantitative Methods for the
Plant, Animal and Ecological Sciences.
CABI
Publishing, 2006 (2nd
ed.).
additional information provided by the publisher.
 82

John H. M.
Thornley
and Ian R. Johnson.
Plant and Crop Modelling: A Mathematical Approach to Plant and
Crop Physiology.
Blackburn Press,
2000.
first print 1990,
additional information provided by the publisher.
 83

Stefan
Trapp
and Michael
Matthies.
Chemodynamics and Environmental Modelling.
Springer, 285 p., ISBN
3540630961, 1998.
includes disk (for IBM PC).
 84

Stefan
Trapp
and Craig McFarlane.
Plant Contamination: Modeling and Simulation of Organic Chemical
Processes.
Lewis, 272 p., ISBN 9781566700788, 1994.
 85

Philip M. Tuchinsky.
Man in Competition with the Spruce BudwormAn Application of
Differential Equations.
Birkhäuser, 77 p., 1981.
+ careful derivation of one of the classic mathematical
models in ecology, exercises with solutions.
 86

S.
Tuljapurkar
and Hal
Caswell.
Structuredpopulation models in marine, terrestrial and
freshwater systems.
Springer, 656p., ISBN
0412072718, 1997.
additional information provided by the publisher.
 87

John H.
Vandermeer.
Elementary Mathematical Ecology.
Wiley, 294p. 1981; Malabar,
Fla: Krieger, 1990, 294p., ISBN 0894644653, 1981.
[3]
table of contents: Exponential and Logistic Equations,
Population Projection Matrices, Discrete Models of Population Changes, Life
Tables I and II, Analysis of Spatial Pattern, Interspecific Competition,
PredPrey Theory, Species Diversity, Dynamics of Multiple Species
Assemblages, programmed learning text
+ lots of exercises with solutions
 boils away a great deal of the biology in favor of the math, holes in
coverage
seems to be out of print.
 88

W. C. Walton.
Groundwater Modeling Utilities.
Lewis Publ., 649p., 1992.
Modflow, Modpath, Moc, Sutra, Intersat/Intertrans; 173p. text, plus
examples, exercises, source codes for utilities
additional information provided by the publisher.
 89

Ch. Wissel.
Theoretische Ökologie.
Springer, 299p., ISBN
3540508481, 1989.
In German; seems to be out of print.
 90

Peter Yodzis.
Introduction to theoretical ecology.
New York (etc.): Harper & Row, 384 p., ISBN 006047369X, 1989.
[4]
+ good intuitive development of the equations, many exercises
and references
seems to be out of print.
updated Apr 5, 2014
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