Geographical Genetics (MPB-38)

Geographical Genetics (MPB-38)
Author: Bryan K. Epperson
Publisher: Princeton University Press
Total Pages: 372
Release: 2003-08-31
Genre: Mathematics
ISBN: 0691086699

Population genetics has made great strides in applying statistical analysis and mathematical modeling to understand how genes mutate and spread through populations over time. But real populations also live in space. Streams, mountains, and other geographic features often divide populations, limit migration, or otherwise influence gene flow. This book rigorously examines the processes that determine geographic patterns of genetic variation, providing a comprehensive guide to their study and interpretation. Geographical Genetics has a unique focus on the mathematical relationships of spatial statistical measures of patterns to stochastic processes. It also develops the probability and distribution theory of various spatial statistics for analysis of population genetic data, detailing exact methods for using various spatial features to make precise inferences about migration, natural selection, and other dynamic forces. The book also reviews the experimental literature on the types of spatial patterns of genetic variation found within and among populations. And it makes an unprecedented strong connection between observed measures of spatial patterns and those predicted theoretically. Along the way, it introduces readers to the mathematics of spatial statistics, applications to specific population genetic systems, and the relationship between the mathematics of space-time processes and the formal theory of geographical genetics. Written by a leading authority, this is the first comprehensive treatment of geographical genetics. It is a much-needed guide to the theory, techniques, and applications of a field that will play an increasingly important role in population biology and ecology.

The Unified Neutral Theory of Biodiversity and Biogeography (MPB-32)

The Unified Neutral Theory of Biodiversity and Biogeography (MPB-32)
Author: Stephen P. Hubbell
Publisher: Princeton University Press
Total Pages: 394
Release: 2001-04-29
Genre: Mathematics
ISBN: 9780691021287

Despite its importance and the threat of its global crash, biodiversity is poorly understood both empirically and theoretically. This work presents a neutral, general theory to explain the origin, maintenance and loss of biodiversity in a biogeographical context.

Stability in Model Populations (MPB-31)

Stability in Model Populations (MPB-31)
Author: Laurence D. Mueller
Publisher: Princeton University Press
Total Pages: 334
Release: 2020-03-31
Genre: Science
ISBN: 0691209944

Throughout the twentieth century, biologists investigated the mechanisms that stabilize biological populations, populations which--if unchecked by such agencies as competition and predation--should grow geometrically. How is order in nature maintained in the face of the seemingly disorderly struggle for existence? In this book, Laurence Mueller and Amitabh Joshi examine current theories of population stability and show how recent laboratory research on model populations--particularly blowflies, Tribolium, and Drosophila--contributes to our understanding of population dynamics and the evolution of stability. The authors review the general theory of population stability and critically analyze techniques for inferring whether a given population is in balance or not. They then show how rigorous empirical research can reveal both the proximal causes of stability (how populations are regulated and maintained at an equilibrium, including the relative roles of biotic and abiotic factors) and its ultimate, mostly evolutionary causes. In the process, they describe experimental studies on model systems that address the effects of age-structure, inbreeding, resource levels, and population structure on the stability and persistence of populations. The discussion incorporates the authors' own findings on the evolution of population stability in Drosophila. They go on to relate laboratory work to studies of animals in the wild and to develop a general framework for relating the life history and ecology of a species to its population dynamics. This accessible, finely written illustration of how carefully designed experiments can improve theory will have tremendous value for all ecologists and evolutionary biologists.

Self-Organization in Complex Ecosystems. (MPB-42)

Self-Organization in Complex Ecosystems. (MPB-42)
Author: Ricard V. Solé
Publisher: Princeton University Press
Total Pages: 391
Release: 2006-03-26
Genre: Science
ISBN: 0691070407

Describing a theoretical view of ecosystems based on how they self-organise to produce complex patterns, this book focuses on very simple models that despite their simplicity encapsulate fundamental properties of how ecosystems work.

Food Webs (MPB-50)

Food Webs (MPB-50)
Author: Kevin S. McCann
Publisher: Princeton University Press
Total Pages: 255
Release: 2012
Genre: Science
ISBN: 0691134189

This book synthesizes and reconciles modern and classical perspectives into a general unified theory.

Population Ecology of Individuals. (MPB-25), Volume 25

Population Ecology of Individuals. (MPB-25), Volume 25
Author: Adam Lomnicki
Publisher: Princeton University Press
Total Pages: 242
Release: 2020-03-31
Genre: Science
ISBN: 0691209618

A common tendency in the field of population ecology has been to overlook individual differences by treating populations as homogeneous units; conversely, in behavioral ecology the tendency has been to concentrate on how individual behavior is shaped by evolutionary forces, but not on how this behavior affects population dynamics. Adam Lomnicki and others aim to remedy this one-sidedness by showing that the overall dynamical behavior of populations must ultimately be understood in terms of the behavior of individuals. Professor Lomnicki's wide-ranging presentation of this approach includes simple mathematical models aimed at describing both the origin and consequences of individual variation among plants and animals. The author contends that further progress in population ecology will require taking into account individual differences other than sex, age, and taxonomic affiliation--unequal access to resources, for instance. Population ecologists who adopt this viewpoint may discover new answers to classical questions of population ecology. Partly because it uses a variety of examples from many taxonomic groups, this work will appeal not only to population ecologists but to ecologists in general.

Consumer-Resource Dynamics

Consumer-Resource Dynamics
Author: William W. Murdoch
Publisher: Princeton University Press
Total Pages: 479
Release: 2013-02-15
Genre: Science
ISBN: 1400847257

Despite often violent fluctuations in nature, species extinction is rare. California red scale, a potentially devastating pest of citrus, has been suppressed for fifty years in California to extremely low yet stable densities by its controlling parasitoid. Some larch budmoth populations undergo extreme cycles; others never cycle. In Consumer-Resource Dynamics, William Murdoch, Cherie Briggs, and Roger Nisbet use these and numerous other biological examples to lay the groundwork for a unifying theory applicable to predator-prey, parasitoid-host, and other consumer-resource interactions. Throughout, the focus is on how the properties of real organisms affect population dynamics. The core of the book synthesizes and extends the authors' own models involving insect parasitoids and their hosts, and explores in depth how consumer species compete for a dynamic resource. The emerging general consumer-resource theory accounts for how consumers respond to differences among individuals in the resource population. From here the authors move to other models of consumer-resource dynamics and population dynamics in general. Consideration of empirical examples, key concepts, and a necessary review of simple models is followed by examination of spatial processes affecting dynamics, and of implications for biological control of pest organisms. The book establishes the coherence and broad applicability of consumer-resource theory and connects it to single-species dynamics. It closes by stressing the theory's value as a hierarchy of models that allows both generality and testability in the field.

Markov Chains and Stochastic Stability

Markov Chains and Stochastic Stability
Author: Sean Meyn
Publisher: Cambridge University Press
Total Pages: 623
Release: 2009-04-02
Genre: Mathematics
ISBN: 0521731828

New up-to-date edition of this influential classic on Markov chains in general state spaces. Proofs are rigorous and concise, the range of applications is broad and knowledgeable, and key ideas are accessible to practitioners with limited mathematical background. New commentary by Sean Meyn, including updated references, reflects developments since 1996.