Modeling Extinction
Modeling Extinction

Author: Mark E. J. Newman

Publisher: Oxford University Press, USA

Published: 2003

Total Pages: 126

ISBN-13: 9780195159462

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In the last decade or so, scientists have started to examine a new approach to the patterns of evolution and extinction in the fossil record. This approach may be called "statistical paleontology," since it looks at large-scale patterns in the record and attempts to understand and model their average statistical features, rather than their detailed structure. This book, developed after a meeting at the Santa Fe Institute on extinction modeling, comments critically on the various modeling approaches.

Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model
Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model

Author: Ingemar Nåsell

Publisher: Springer Science & Business Media

Published: 2011-07-06

Total Pages: 206

ISBN-13: 3642205291

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This volume presents explicit approximations of the quasi-stationary distribution and of the expected time to extinction from the state one and from quasi-stationarity for the stochastic logistic SIS model. The approximations are derived separately in three different parameter regions, and then combined into a uniform approximation across all three regions. Subsequently, the results are used to derive thresholds as functions of the population size N.

Saving a Million Species
Saving a Million Species

Author: Lee Hannah

Publisher: Island Press

Published: 2012-06-22

Total Pages: 433

ISBN-13: 1610911822

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The research paper "Extinction Risk from Climate Change" published in the journal Nature in January 2004 created front-page headlines around the world. The notion that climate change could drive more than a million species to extinction captured both the popular imagination and the attention of policy-makers, and provoked an unprecedented round of scientific critique. Saving a Million Species reconsiders the central question of that paper: How many species may perish as a result of climate change and associated threats? Leaders from a range of disciplines synthesize the literature, refine the original estimates, and elaborate the conservation and policy implications. The book: examines the initial extinction risk estimates of the original paper, subsequent critiques, and the media and policy impact of this unique study presents evidence of extinctions from climate change from different time frames in the past explores extinctions documented in the contemporary record sets forth new risk estimates for future climate change considers the conservation and policy implications of the estimates. Saving a Million Species offers a clear explanation of the science behind the headline-grabbing estimates for conservationists, researchers, teachers, students, and policy-makers. It is a critical resource for helping those working to conserve biodiversity take on the rapidly advancing and evolving global stressor of climate change-the most important issue in conservation biology today, and the one for which we are least prepared.

Conservation Biology
Conservation Biology

Author: Peggy L. Fiedler

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 523

ISBN-13: 1468464264

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• • • John Harper • • • Nature conservation has changed from an idealistic philosophy to a serious technology. Ecology, the science that underpins the technol ogy of conservation, is still too immature to provide all the wisdom that it must. It is arguable that the desire to conserve nature will in itself force the discipline of ecology to identify fundamental prob lems in its scientific goals and methods. In return, ecologists may be able to offer some insights that make conservation more practicable (Harper 1987). The idea that nature (species or communities) is worth preserv ing rests on several fundamental arguments, particularly the argu ment of nostalgia and the argument of human benefit and need. Nostalgia, of course, is a powerful emotion. With some notable ex ceptions, there is usually a feeling of dismay at a change in the sta tus quo, whether it be the loss of a place in the country for walking or rambling, the loss of a painting or architectural monument, or that one will never again have the chance to see a particular species of bird or plant.

Modeling Evolution of Heterogeneous Populations
Modeling Evolution of Heterogeneous Populations

Author: Irina Kareva

Publisher: Academic Press

Published: 2019-10-16

Total Pages: 354

ISBN-13: 0128144327

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Modeling Evolution of Heterogeneous Populations: Theory and Applications describes, develops and provides applications of a method that allows incorporating population heterogeneity into systems of ordinary and discrete differential equations without significantly increasing system dimensionality. The method additionally allows making use of results of bifurcation analysis performed on simplified homogeneous systems, thereby building on the existing body of tools and knowledge and expanding applicability and predictive power of many mathematical models. - Introduces Hidden Keystone Variable (HKV) method, which allows modeling evolution of heterogenous populations, while reducing multi-dimensional selection systems to low-dimensional systems of differential equations - Demonstrates that replicator dynamics is governed by the principle of maximal relative entropy that can be derived from the dynamics of selection systems instead of being postulated - Discusses mechanisms behind models of both Darwinian and non-Darwinian selection - Provides examples of applications to various fields, including cancer growth, global demography, population extinction, tragedy of the commons and resource sustainability, among others - Helps inform differences in underlying mechanisms of population growth from experimental observations, taking one from experiment to theory and back

Conservation Biology
Conservation Biology

Author: Fred Van Dyke

Publisher: Springer Science & Business Media

Published: 2008-02-29

Total Pages: 491

ISBN-13: 1402068905

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Fred Van Dyke’s new textbook, Conservation Biology: Foundations, Concepts, Applications, 2nd Edition, represents a major new text for anyone interested in conservation. Drawing on his vast experience, Van Dyke’s organizational clarity and readable style make this book an invaluable resource for students in conservation around the globe. Presenting key information and well-selected examples, this student-friendly volume carefully integrates the science of conservation biology with its implications for ethics, law, policy and economics.

A Course in Mathematical Modeling
A Course in Mathematical Modeling

Author: Douglas D. Mooney

Publisher: American Mathematical Society

Published: 2021-11-15

Total Pages: 431

ISBN-13: 1470466163

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The emphasis of this book lies in the teaching of mathematical modeling rather than simply presenting models. To this end the book starts with the simple discrete exponential growth model as a building block, and successively refines it. This involves adding variable growth rates, multiple variables, fitting growth rates to data, including random elements, testing exactness of fit, using computer simulations and moving to a continuous setting. No advanced knowledge is assumed of the reader, making this book suitable for elementary modeling courses. The book can also be used to supplement courses in linear algebra, differential equations, probability theory and statistics.

Stochastic Population and Epidemic Models
Stochastic Population and Epidemic Models

Author: Linda J. S. Allen

Publisher: Springer

Published: 2015-08-20

Total Pages: 55

ISBN-13: 331921554X

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This monograph provides a summary of the basic theory of branching processes for single-type and multi-type processes. Classic examples of population and epidemic models illustrate the probability of population or epidemic extinction obtained from the theory of branching processes. The first chapter develops the branching process theory, while in the second chapter two applications to population and epidemic processes of single-type branching process theory are explored. The last two chapters present multi-type branching process applications to epidemic models, and then continuous-time and continuous-state branching processes with applications. In addition, several MATLAB programs for simulating stochastic sample paths are provided in an Appendix. These notes originated as part of a lecture series on Stochastics in Biological Systems at the Mathematical Biosciences Institute in Ohio, USA. Professor Linda Allen is a Paul Whitfield Horn Professor of Mathematics in the Department of Mathematics and Statistics at Texas Tech University, USA.

Metapopulation Biology
Metapopulation Biology

Author: Ilkka Hanski

Publisher: Morgan Kaufmann

Published: 1997

Total Pages: 536

ISBN-13:

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This volume presents a review of metapopulation biology. It describes key theories of study and applies the best field studies to the conservation of species in fragmented landscapes. The work explains and critically assess the value of the metapopulation concept for field studies and conservation.

Integrated Population Biology and Modeling Part B
Integrated Population Biology and Modeling Part B

Author:

Publisher: Elsevier

Published: 2019-02-05

Total Pages: 656

ISBN-13: 044464153X

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Integrated Population Biology and Modeling: Part B, Volume 40, offers very delicately complex and precise realities of quantifying modern and traditional methods of understanding populations and population dynamics, with this updated release focusing on Prey-predator animal models, Back projections, Evolutionary Biology computations, Population biology of collective behavior and bio patchiness, Collective behavior, Population biology through data science, Mathematical modeling of multi-species mutualism: new insights, remaining challenges and applications to ecology, Population Dynamics of Manipur, Stochastic Processes and Population Dynamics Models: The Mechanisms for Extinction, Persistence and Resonance, Theories of Stationary Populations and association with life lived and life left, and more. - Studies human and animal models that are studied both separately and throughout chapters - Presents a comprehensive and timely update on integrated population biology