Author : Robert M. May
Publisher :
Page : 265 pages
File Size : 30,95 MB
Release : 1974
Category : Science
ISBN : 9780691081304
The Description for this book, Stability and Complexity in Model Ecosystems. (MPB-6), will be forthcoming.
Author : Robert M May
Publisher : Princeton University Press
Page : 301 pages
File Size : 18,92 MB
Release : 2019-12-31
Category : Science
ISBN : 0691206910
What makes populations stabilize? What makes them fluctuate? Are populations in complex ecosystems more stable than populations in simple ecosystems? In 1973, Robert May addressed these questions in this classic book. May investigated the mathematical roots of population dynamics and argued-counter to most current biological thinking-that complex ecosystems in themselves do not lead to population stability. Stability and Complexity in Model Ecosystems played a key role in introducing nonlinear mathematical models and the study of deterministic chaos into ecology, a role chronicled in James Gleick's book Chaos. In the quarter century since its first publication, the book's message has grown in power. Nonlinear models are now at the center of ecological thinking, and current threats to biodiversity have made questions about the role of ecosystem complexity more crucial than ever. In a new introduction, the author addresses some of the changes that have swept biology and the biological world since the book's first publication.
Author :
Publisher : Princeton University Press
Page : 304 pages
File Size : 23,26 MB
Release : 2001-03-18
Category : Mathematics
ISBN : 9780691088617
What makes populations stabilize? What makes them fluctuate? Are populations in complex ecosystems more stable than populations in simple ecosystems? In 1973, Robert May addressed these questions in this classic book. May investigated the mathematical roots of population dynamics and argued-counter to most current biological thinking-that complex ecosystems in themselves do not lead to population stability. Stability and Complexity in Model Ecosystems played a key role in introducing nonlinear mathematical models and the study of deterministic chaos into ecology, a role chronicled in James Gleick's book Chaos. In the quarter century since its first publication, the book's message has grown in power. Nonlinear models are now at the center of ecological thinking, and current threats to biodiversity have made questions about the role of ecosystem complexity more crucial than ever. In a new introduction, the author addresses some of the changes that have swept biology and the biological world since the book's first publication.
Author : Kevin S. McCann
Publisher : Oxford University Press
Page : 352 pages
File Size : 40,17 MB
Release : 2020-05-11
Category : Science
ISBN : 0192557785
Theoretical Ecology: concepts and applications continues the authoritative and established sequence of theoretical ecology books initiated by Robert M. May which helped pave the way for ecology to become a more robust theoretical science, encouraging the modern biologist to better understand the mathematics behind their theories. This latest instalment builds on the legacy of its predecessors with a completely new set of contributions. Rather than placing emphasis on the historical ideas in theoretical ecology, the Editors have encouraged each contribution to: synthesize historical theoretical ideas within modern frameworks that have emerged in the last 10-20 years (e.g. bridging population interactions to whole food webs); describe novel theory that has emerged in the last 20 years from historical empirical areas (e.g. macro-ecology); and finally to cover the rapidly expanding area of theoretical ecological applications (e.g. disease theory and global change theory). The result is a forward-looking synthesis that will help guide the field through a further decade of discovery and development. It is written for upper level undergraduate students, graduate students, and researchers seeking synthesis and the state of the art in growing areas of interest in theoretical ecology, genetics, evolutionary ecology, and mathematical biology.
Author : Greg W. Anderson
Publisher : Cambridge University Press
Page : 507 pages
File Size : 49,82 MB
Release : 2010
Category : Mathematics
ISBN : 0521194520
A rigorous introduction to the basic theory of random matrices designed for graduate students with a background in probability theory.
Author : Alexei Borodin
Publisher : American Mathematical Soc.
Page : 513 pages
File Size : 19,10 MB
Release : 2019-10-30
Category : Education
ISBN : 1470452804
Random matrix theory has many roots and many branches in mathematics, statistics, physics, computer science, data science, numerical analysis, biology, ecology, engineering, and operations research. This book provides a snippet of this vast domain of study, with a particular focus on the notations of universality and integrability. Universality shows that many systems behave the same way in their large scale limit, while integrability provides a route to describe the nature of those universal limits. Many of the ten contributed chapters address these themes, while others touch on applications of tools and results from random matrix theory. This book is appropriate for graduate students and researchers interested in learning techniques and results in random matrix theory from different perspectives and viewpoints. It also captures a moment in the evolution of the theory, when the previous decade brought major break-throughs, prompting exciting new directions of research.
Author : Fivos Papadimitriou
Publisher : Springer Nature
Page : 141 pages
File Size : 17,85 MB
Release : 2024-01-02
Category : Social Science
ISBN : 3658424966
This book offers a comprehensive exposition of the mathematical methods that can be used to model landscape dynamics. It is systematically shown how mathematical models of progressively higher complexity can be derived from ordinary landscape maps and related data in ways that enable researchers to predict future landscape transformations and to assess landscape stability, sustainability and resilience.These models are deterministic (i.e. linear or non-linear systems of differential equations), stochastic (i.e. Markovian), or combined deterministic-and-stochastic (using stochastic differential equations), whereas topics and challenging problems related to complexity (spatial randomness, chaotic behaviors, riddled systems etc) are also examined in the book.
Author : Joel E. Cohen
Publisher : Springer Science & Business Media
Page : 318 pages
File Size : 18,28 MB
Release : 2012-12-06
Category : Medical
ISBN : 3642837840
Food webs hold a central place in ecology. They describe which organisms feed on which others in natural habitats. This book describes recently discovered empirical regularities in real food webs: it proposes a novel theory unifying many of these regularities, as well as extensive empirical data. After a general introduction, reviewing the empirical and theoretical discoveries about food webs, the second portion of the book shows that community food webs obey several striking phenomenological regularities. Some of these unify, regardless of habitat. Others differentiate, showing that habitat significantly influences structure. The third portion of the book presents a theoretical analysis of some of the unifying empirical regularities. The fourth portion of the book presents 113 community food webs. Collected from scattered sources and carefully edited, they are the empirical basis for the results in the volume. The largest available set of data on community food webs provides a valuable foundation for future studies of community food webs. The book is intended for graduate students, teachers and researchers primarily in ecology. The theoretical portions of the book provide materials useful to teachers of applied combinatorics, in particular, random graphs. Researchers in random graphs will find here unsolved mathematical problems.
Author : Bernard C. Patten
Publisher : Elsevier
Page : 614 pages
File Size : 30,23 MB
Release : 2013-09-11
Category : Science
ISBN : 148326274X
Systems Analysis and Simulation in Ecology, Volume IV continues the organization begun in Volume III to document a meeting, Modeling and Analysis of Ecosystems, held at the University of Georgia on 1-3 March 1973. Several chapters are considerably expanded over their original concept, and several others are included which were not part of the symposium. The book is organized into five parts. Part I contains chapters on estuarine-marine ecosystems. Part II presents models of several terrestrial ecosystems. Part III has chapters devoted to human aspects of ecology. Part IV considers special problems of ecosystem modeling, namely linear versus nonlinear models, aggregation, and validation. Part V, the most extensive section, describes theory in ecosystem analysis. The book's chapters demonstrate the current scope of systems ecology—its past and present emphasis on parts and mechanisms in simulation modeling, and its movement toward systems analysis and new, more formal consideration of wholes in theory. They make clear that although the systems approach is young in ecology, it has substantially enriched the science both methodologically and conceptually.
Author : Thomas E. Miller
Publisher : University of Chicago Press
Page : 858 pages
File Size : 42,12 MB
Release : 2022-09-06
Category : Nature
ISBN : 022612536X
A sweeping overview of key advances in the field of ecology over the latter half of the twentieth century. For three decades, Foundations of Ecology, edited by Leslie A. Real and James H. Brown, has served as an essential primer for graduate students and practicing ecologists, giving them access to the classic papers that laid the foundations of modern ecology alongside commentaries by noted ecologists. Ecology has continued to evolve, and ecologists Thomas E. Miller and Joseph Travis offer here a freshly edited guide for a new generation of researchers. The period of 1970 to 1995 was a time of tremendous change in all areas of this discipline--from an increased rigor for experimental design and analysis and the reevaluation of paradigms to new models for understanding, to theoretical advances. Foundations of Ecology II includes facsimiles of forty-six papers from this period alongside expert commentaries that discuss a total of fifty-three key studies, addressing topics of diversity, predation, complexity, competition, coexistence, extinction, productivity, resources, distribution, and abundance. The result is more than a catalog of historic firsts; this book offers diverse perspectives on the foundational papers that led to today's ecological work.
