MATHEMATICAL ECOLOGY OF POPULATIONS AND ECOSYSTEMS

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Mathematical Ecology Of Populations And Ecosystems

Author : John Pastor
ISBN : 9781444358452
Genre : Science
File Size : 36.42 MB
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Population ecologists study how births and deaths affect the dynamics of populations and communities, while ecosystem ecologists study how species control the flux of energy and materials through food webs and ecosystems. Although all these processes occur simultaneously in nature, the mathematical frameworks bridging the two disciplines have developed independently. Consequently, this independent development of theory has impeded the cross-fertilization of population and ecosystem ecology. Using recent developments from dynamical systems theory, this advanced undergraduate/graduate level textbook shows how to bridge the two disciplines seamlessly. The book shows how bifurcations between the solutions of models can help understand regime shifts in natural populations and ecosystems once thresholds in rates of births, deaths, consumption, competition, nutrient inputs, and decay are crossed. Mathematical Ecology is essential reading for students of ecology who have had a first course in calculus and linear algebra or students in mathematics wishing to learn how dynamical systems theory can be applied to ecological problems.
Category: Science

Encyclopedia Of Theoretical Ecology

Author : Dr. Alan Hastings
ISBN : 9780520951785
Genre : Nature
File Size : 89.97 MB
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This major reference is an overview of the current state of theoretical ecology through a series of topical entries centered on both ecological and statistical themes. Coverage ranges across scales—from the physiological, to populations, landscapes, and ecosystems. Entries provide an introduction to broad fields such as Applied Ecology, Behavioral Ecology, Computational Ecology, Ecosystem Ecology, Epidemiology and Epidemic Modeling, Population Ecology, Spatial Ecology and Statistics in Ecology. Others provide greater specificity and depth, including discussions on the Allee effect, ordinary differential equations, and ecosystem services. Descriptions of modern statistical and modeling approaches and how they contributed to advances in theoretical ecology are also included. Succinct, uncompromising, and authoritative—a "must have" for those interested in the use of theory in the ecological sciences.
Category: Nature

The Background Of Ecology

Author : Robert P. McIntosh
ISBN : 0521270871
Genre : Nature
File Size : 71.88 MB
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The Background of Ecology is a critical and up-to-date review of the origins and development of ecology, with emphasis on the major concepts and theories shared in the ecological traditions of plant and animal ecology, limnology, and oceanography. The work traces developments in each of these somewhat isolated areas and identifies, where possible, parallels or convergences among them. Dr McIntosh describes how ecology emerged as a science in the context of nineteenth-century natural history.
Category: Nature

Applied Population Ecology

Author : A. P. Gutierrez
ISBN : 0471135860
Genre : Science
File Size : 76.60 MB
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This book provides applied biologists and ecologists with the mathematical tools they need to understand the ever increasingly mathematical and complex area of population ecology.
Category: Science

Stability And Complexity In Model Ecosystems

Author :
ISBN : 0691088616
Genre : Mathematics
File Size : 70.11 MB
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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.
Category: Mathematics

Progress In Mathematical Ecology

Author : Sergei Petrovskii
ISBN : 9783038973126
Genre : Science
File Size : 73.90 MB
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This book is a printed edition of the Special Issue "Progress in Mathematical Ecology" that was published in Mathematics
Category: Science

Matrices And Graphs Stability Problems In Mathematical Ecology

Author : D. Logofet
ISBN : 9781351082778
Genre : Science
File Size : 68.93 MB
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Intuitive ideas of stability in dynamics of a biological population, community, or ecosystem can be formalized in the framework of corresponding mathematical models. These are often represented by systems of ordinary differential equations or difference equations. Matrices and Graphs covers achievements in the field using concepts from matrix theory and graph theory. The book effectively surveys applications of mathematical results pertinent to issues of theoretical and applied ecology. The only mathematical prerequisite for using Matrices and Graphs is a working knowledge of linear algebra and matrices. The book is ideal for biomathematicians, ecologists, and applied mathematicians doing research on dynamic behavior of model populations and communities consisting of multi-component systems. It will also be valuable as a text for a graduate-level topics course in applied math or mathematical ecology.
Category: Science

Mathematical Ecology

Author : Thomas G. Hallam
ISBN : 9783642698880
Genre : Mathematics
File Size : 76.22 MB
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There isprobably no more appropriate location to hold a course on mathematical ecology than Italy, the countryofVito Volterra, a founding father ofthe subject. The Trieste 1982Autumn Course on Mathematical Ecology consisted of four weeksofvery concentrated scholasticism and aestheticism. The first weeks were devoted to fundamentals and principles ofmathematicalecology. A nucleusofthe material from the lectures presented during this period constitutes this book. The final week and a half of the Course was apportioned to the Trieste Research Conference on Mathematical Ecology whose proceedings have been published as Volume 54, Lecture Notes in Biomathematics, Springer-Verlag. The objectivesofthe first portionofthe course wereambitious and, probably, unattainable. Basic principles of the areas of physiological, population, com munitY, and ecosystem ecology that have solid ecological and mathematical foundations were to be presented. Classical terminology was to be introduced, important fundamental topics were to be developed, some past and some current problems of interest were to be presented, and directions for possible research were to be provided. Due to time constraints, the coverage could not be encyclopedic;many areas covered already have merited treatises of book length. Consequently, preliminary foundation material was covered in some detail, but subject overviewsand area syntheseswerepresented when research frontiers were being discussed. These lecture notes reflect this course philosophy.
Category: Mathematics

Encyclopedia Of Ecology

Author :
ISBN : 9780080914565
Genre : Science
File Size : 54.49 MB
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The groundbreaking Encyclopedia of Ecology provides an authoritative and comprehensive coverage of the complete field of ecology, from general to applied. It includes over 500 detailed entries, structured to provide the user with complete coverage of the core knowledge, accessed as intuitively as possible, and heavily cross-referenced. Written by an international team of leading experts, this revolutionary encyclopedia will serve as a one-stop-shop to concise, stand-alone articles to be used as a point of entry for undergraduate students, or as a tool for active researchers looking for the latest information in the field. Entries cover a range of topics, including: Behavioral Ecology Ecological Processes Ecological Modeling Ecological Engineering Ecological Indicators Ecological Informatics Ecosystems Ecotoxicology Evolutionary Ecology General Ecology Global Ecology Human Ecology System Ecology The first reference work to cover all aspects of ecology, from basic to applied Over 500 concise, stand-alone articles are written by prominent leaders in the field Article text is supported by full-color photos, drawings, tables, and other visual material Fully indexed and cross referenced with detailed references for further study Writing level is suited to both the expert and non-expert Available electronically on ScienceDirect shortly upon publication
Category: Science

Mathematical Models In Environmental Policy Analysis

Author : Leon Aganesovich Petrosi͡an
ISBN : 156072515X
Genre : Science
File Size : 63.57 MB
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Presents mathematical ideas and models that can be used to facilitate rational environmental policy making. Describes classical models for biological community performance, ecological system stability, and population dynamics, presents air pollution models and methods for solving emission problems, and highlights major results of the application of
Category: Science