Modeling Extinction


Modeling Extinction
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Modeling Extinction


Modeling Extinction
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Author : Mark E. J. Newman
language : en
Publisher: Oxford University Press on Demand
Release Date : 2003

Modeling Extinction written by Mark E. J. Newman and has been published by Oxford University Press on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.


Preface. 1. Extinction in the Fossil Record. 2. Fitness Landscape Model. 3. Self-Organized Critical Models. 4. Interspecies Connection Models. 5. Environmental Stress Models. 6. Non-equilibrium Models. 7. Summary. References. Index.



Stochastic Population And Epidemic Models


Stochastic Population And Epidemic Models
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Author : Linda J. S. Allen
language : en
Publisher: Springer
Release Date : 2015-08-20

Stochastic Population And Epidemic Models written by Linda J. S. Allen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-20 with Mathematics categories.


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.



Modeling Extinction


Modeling Extinction
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Author : Mark E. J. Newman
language : en
Publisher: Oxford University Press, USA
Release Date : 2003

Modeling Extinction written by Mark E. J. Newman and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with History categories.


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
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Author : Ingemar Nåsell
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-06

Extinction And Quasi Stationarity In The Stochastic Logistic Sis Model written by Ingemar Nåsell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-06 with Mathematics categories.


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.



Dynamics Of Extinction


Dynamics Of Extinction
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Author : David K. Elliot
language : en
Publisher: Wiley-Interscience
Release Date : 1986-04-15

Dynamics Of Extinction written by David K. Elliot and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-04-15 with Science categories.


A comprehensive summary of current research and scientific thinking on the possible causes and mechanisms of large-scale periodic extinctions. Topics include the fossil record of extinctions, modern extinctions, theoretical modelling of extinction events, the periodicity of mass extinctions, modern extinctions, and more. Touches on many speculations and controversies. The articles, originally presented at a Northern Arizona University symposium at Flagstaff in 1983, have been revised and updated.



Spatial Ecology And Conservation Modeling


Spatial Ecology And Conservation Modeling
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Author : Robert Fletcher
language : en
Publisher: Springer
Release Date : 2019-02-15

Spatial Ecology And Conservation Modeling written by Robert Fletcher and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-15 with Science categories.


This book provides a foundation for modern applied ecology. Much of current ecology research and conservation addresses problems across landscapes and regions, focusing on spatial patterns and processes. This book is aimed at teaching fundamental concepts and focuses on learning-by-doing through the use of examples with the software R. It is intended to provide an entry-level, easily accessible foundation for students and practitioners interested in spatial ecology and conservation.



Modeling Spatiotemporal Dynamics In Ecology


Modeling Spatiotemporal Dynamics In Ecology
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Author : Jordi Bascompte
language : en
Publisher: Springer
Release Date : 1998

Modeling Spatiotemporal Dynamics In Ecology written by Jordi Bascompte and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.


Throughout its history, ecology has largely been a descriptive science. Scientists are in need of a theoretical framework that will assist in the understanding of observed patterns, and will serve as a predictive tool. Since ecological systems are dynamic and spatially extended, it is particularly important to understand the processes underlying spatiotemporal patterns. This book reviews one of the newest and most important areas of theoretical ecology: the study of spatiotemporal dynamics by means of a spatially explicit approximation that allows the investigation of the effects of real space.



Occupancy Estimation And Modeling


Occupancy Estimation And Modeling
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Author : Darryl I. MacKenzie
language : en
Publisher: Elsevier
Release Date : 2017-11-17

Occupancy Estimation And Modeling written by Darryl I. MacKenzie and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-17 with Science categories.


Occupancy Estimation and Modeling: Inferring Patterns and Dynamics of Species Occurrence, Second Edition, provides a synthesis of model-based approaches for analyzing presence-absence data, allowing for imperfect detection. Beginning from the relatively simple case of estimating the proportion of area or sampling units occupied at the time of surveying, the authors describe a wide variety of extensions that have been developed since the early 2000s. This provides an improved insight about species and community ecology, including, detection heterogeneity; correlated detections; spatial autocorrelation; multiple states or classes of occupancy; changes in occupancy over time; species co-occurrence; community-level modeling, and more. Occupancy Estimation and Modeling: Inferring Patterns and Dynamics of Species Occurrence, Second Edition has been greatly expanded and detail is provided regarding the estimation methods and examples of their application are given. Important study design recommendations are also covered to give a well rounded view of modeling. Provides authoritative insights into the latest in occupancy modeling Examines the latest methods in analyzing detection/no detection data surveys Addresses critical issues of imperfect detectability and its effects on species occurrence estimation Discusses important study design considerations such as defining sample units, sample size determination and optimal effort allocation



Modeling Evolution Of Heterogeneous Populations


Modeling Evolution Of Heterogeneous Populations
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Author : Irina Kareva
language : en
Publisher: Academic Press
Release Date : 2019-10-16

Modeling Evolution Of Heterogeneous Populations written by Irina Kareva and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-16 with Mathematics categories.


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



Ecological Modeling In Risk Assessment


Ecological Modeling In Risk Assessment
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Author : Robert A. Pastorok
language : en
Publisher: CRC Press
Release Date : 2016-04-19

Ecological Modeling In Risk Assessment written by Robert A. Pastorok and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Technology & Engineering categories.


Expanding the risk assessment toolbox, this book provides a comprehensive and practical evaluation of specific ecological models for potential use in risk assessment. Ecological Modeling in Risk Assessment: Chemical Effects on Populations, Ecosystems, and Landscapes goes beyond current risk assessment practices for toxic chemicals as applied to individual-organism endpoints to describe ecological effects models useful at the population, ecosystem, and landscape levels. The authors demonstrate the utility of a set of ecological effects models, eventually improving the ecological relevance of risk assessments and making data collection more cost effective.