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"Ecology Mathematical models."
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Ecological niches and geographic distributions
This book provides a first synthetic view of an emerging area of ecology and biogeography, linking individual- and population-level processes to geographic distributions and biodiversity patterns. Problems in evolutionary ecology, macroecology, and biogeography are illuminated by this integrative view. The book focuses on correlative approaches known as ecological niche modeling, species distribution modeling, or habitat suitability modeling, which use associations between known occurrences of species and environmental variables to identify environmental conditions under which populations can be maintained. The spatial distribution of environments suitable for the species can then be estimated: a potential distribution for the species. This approach has broad applicability to ecology, evolution, biogeography, and conservation biology, as well as to understanding the geographic potential of invasive species and infectious diseases, and the biological implications of climate change.
The authors lay out conceptual foundations and general principles for understanding and interpreting species distributions with respect to geography and environment. Focus is on development of niche models. While serving as a guide for students and researchers, the book also provides a theoretical framework to support future progress in the field.
eBook
Modeling coastal and marine processes
\"Modeling is now an accepted part in the understanding, prediction and planning of environmental strategies. Perfect for undergraduate students and non-specialist readers, Modeling Coastal and Marine Processes (2nd Edition) offers an introduction into how coastal and marine models are constructed and used. The mathematics, statistics and numerical techniques used are explained in the first few chapters, making this book accessible to those without a high-level maths background. Later chapters cover modeling sea bed friction, tides, shallow sea dynamics, and ecosystem dynamics. Importantly, there is also a chapter on modeling the impact of climate change on coastal and near shore processes. New to this revised edition is a chapter on tides, tsunamis and the prediction of sea level, and additional material on the new application of the numerical techniques: flux corrected transport, finite volumes and adaptive grids to coastal and marine modeling\"-- Provided by publisher.
Book
The Physics of Foraging
Do the movements of animals, including humans, follow patterns that can be described quantitatively by simple laws of motion? If so, then why? These questions have attracted the attention of scientists in many disciplines, and stimulated debates ranging from ecological matters to queries such as 'how can there be free will if one follows a law of motion?' This is the first book on this rapidly evolving subject, introducing random searches and foraging in a way that can be understood by readers without a previous background on the subject. It reviews theory as well as experiment, addresses open problems and perspectives, and discusses applications ranging from the colonization of Madagascar by Austronesians to the diffusion of genetically modified crops. The book will interest physicists working in the field of anomalous diffusion and movement ecology as well as ecologists already familiar with the concepts and methods of statistical physics.
eBook
Simulation of Ecological and Environmental Models
This practical, classroom-tested guide to modeling methodology explains how to implement simulations and analyze the results using a free, open-source software platform. Based on the author's many years of teaching graduate and undergraduate students in several countries, this textbook brings together principles of modeling methods and theoretical foundations for a variety of ecological and environmental models. Theory is accompanied by practical hands-on computer exercises, progressing from easy to difficult. The text also presents a full review of mathematical methods, which makes the book self-contained.
eBook
Data analysis in vegetation ecology
Evolving from years of teaching experience by one of the top experts in vegetation ecology, Data Analysis in Vegetation Ecology aims to explain the background and basics of mathematical (mainly multivariate) analysis of vegetation data.
eBook
Population Ecology
Ecology is capturing the popular imagination like never before,
with issues such as climate change, species extinctions, and
habitat destruction becoming ever more prominent. At the same time,
the science of ecology has advanced dramatically, growing in
mathematical and theoretical sophistication. Here, two leading
experts present the fundamental quantitative principles of ecology
in an accessible yet rigorous way, introducing students to the most
basic of all ecological subjects, the structure and dynamics of
populations.
John Vandermeer and Deborah Goldberg show that populations are
more than simply collections of individuals. Complex variables such
as distribution and territory for expanding groups come into play
when mathematical models are applied. Vandermeer and Goldberg build
these models from the ground up, from first principles, using a
broad range of empirical examples, from animals and viruses to
plants and humans. They address a host of exciting topics along the
way, including age-structured populations, spatially distributed
populations, and metapopulations.
This second edition of Population Ecology is fully
updated and expanded, with additional exercises in virtually every
chapter, making it the most up-to-date and comprehensive textbook
of its kind.
Provides an accessible mathematical foundation for the latest
advances in ecology
Features numerous exercises and examples throughout
Introduces students to the key literature in the field
The essential textbook for advanced undergraduates and graduate
students
An online illustration package is available to professors
eBook