A Biologist S Guide To Mathematical Modeling In Ecology And Evolution
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A Biologist S Guide To Mathematical Modeling In Ecology And Evolution
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Author : Sarah P. Otto
language : en
Publisher: Princeton University Press
Release Date : 2007-03-12
A Biologist S Guide To Mathematical Modeling In Ecology And Evolution written by Sarah P. Otto and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-12 with Mathematics categories.
Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available
A Biologist S Guide To Mathematical Modeling In Ecology And Evolution
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Author : Sarah P. Otto
language : en
Publisher: Princeton University Press
Release Date : 2011-09-19
A Biologist S Guide To Mathematical Modeling In Ecology And Evolution written by Sarah P. Otto and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-19 with Science categories.
Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available
Mathematical Models Volume Iii
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Author : Jerzy A. Filar
language : en
Publisher: EOLSS Publications
Release Date : 2009-09-19
Mathematical Models Volume Iii written by Jerzy A. Filar and has been published by EOLSS Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-19 with Mathematical models categories.
Mathematical Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Mathematical Models discusses matters of great relevance to our world such as: Basic Principles of Mathematical Modeling; Mathematical Models in Water Sciences; Mathematical Models in Energy Sciences; Mathematical Models of Climate and Global Change; Infiltration and Ponding; Mathematical Models of Biology; Mathematical Models in Medicine and Public Health; Mathematical Models of Society and Development. These three volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.
The Theory Of Ecological Communities
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Author : Mark Vellend
language : en
Publisher: Princeton University Press
Release Date : 2020-09-15
The Theory Of Ecological Communities written by Mark Vellend and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-15 with Science categories.
A plethora of different theories, models, and concepts make up the field of community ecology. Amid this vast body of work, is it possible to build one general theory of ecological communities? What other scientific areas might serve as a guiding framework? As it turns out, the core focus of community ecology—understanding patterns of diversity and composition of biological variants across space and time—is shared by evolutionary biology and its very coherent conceptual framework, population genetics theory. The Theory of Ecological Communities takes this as a starting point to pull together community ecology's various perspectives into a more unified whole. Mark Vellend builds a theory of ecological communities based on four overarching processes: selection among species, drift, dispersal, and speciation. These are analogues of the four central processes in population genetics theory—selection within species, drift, gene flow, and mutation—and together they subsume almost all of the many dozens of more specific models built to describe the dynamics of communities of interacting species. The result is a theory that allows the effects of many low-level processes, such as competition, facilitation, predation, disturbance, stress, succession, colonization, and local extinction to be understood as the underpinnings of high-level processes with widely applicable consequences for ecological communities. Reframing the numerous existing ideas in community ecology, The Theory of Ecological Communities provides a new way for thinking about biological composition and diversity.
Introduction To Quantitative Ecology
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Author : Timothy E. Essington
language : en
Publisher: Oxford University Press
Release Date : 2021
Introduction To Quantitative Ecology written by Timothy E. Essington and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Computers categories.
Environmental science (ecology, conservation, and resource management) is an increasingly quantitative field. This accessible textbook introduces quantitative ecology in a manner that aims to confront the limitations of the current literature and thereby appeal to a far wider audience.
Beyond Equilibria
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Author : Hamish G. Spencer
language : en
Publisher: Oxford University Press
Release Date : 2025-03-15
Beyond Equilibria written by Hamish G. Spencer and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-15 with Science categories.
Ecologists and evolutionary biologists, especially those with theoretical and mathematical leanings, have tended to dismiss historical approaches as descriptive, smacking of particularities, allowing few generalizations (or even being untestable), and even antithetical to scientific explanation. By contrast, the concept of biological equilibrium pervades every aspect of ecology and evolution, from the popular notion of the 'balance of nature' to sophisticated mathematical analyses of critical points in the state space of scientific models. This novel book explains the problems associated with an over-reliance on equilibrium-centred explanations, creating a persuasive argument that an explicit consideration of history - i.e. looking beyond the equilibrium - will often lead to a deeper, more nuanced understanding of almost every eco-evolutionary system. The author introduces the concept of 'flavours' of history - the variety of ways in which history can play a critical role in biological processes. Like the flavours of our food, these historical flavours may not always be distinct: they may be blended or overlapping and any number may be present. However, distinguishing between historical flavours is of practical use in explicating ecological and evolutionary phenomena. Beyond Equilibria: Historical Approaches to Ecology and Evolution is aimed at a broad audience of graduate students and researchers in ecology and evolution. Although there is extensive discussion of mathematical models, the material is presented in such a way that no detailed knowledge is needed. The book will be particularly suitable for a graduate-level discussion course.
Mathematical Modeling The Life Sciences
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Author : N. G. Cogan
language : en
Publisher: CRC Press
Release Date : 2022-09-09
Mathematical Modeling The Life Sciences written by N. G. Cogan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-09 with Mathematics categories.
The purpose of this unique textbook is to bridge the gap between the need for numerical solutions to modeling techniques through computer simulations to develop skill in employing sensitivity analysis to biological and life sciences applications. The underpinning mathematics is minimalized. The focus is on the consequences, implementation, and application. Historical context motivates the models. An understanding of the earliest models provides insight into more complicated ones. While the text avoids getting mired in the details of numerical analysis, it demonstrates how to use numerical methods and provides core codes that can be readily altered to fit a variety of situations. Numerical scripts in both Python and MATLAB® are included. Python is compiled in Jupyter Notebook to aid classroom use. Additionally, codes are organized and available online. One of the most important skills requiring the use of computer simulations is sensitivity analysis. Sensitivity analysis is increasingly used in biomathematics. There are numerous pitfalls to using sensitivity analysis and therefore a need for exposure to worked examples in order to successfully transfer their use from mathematicians to biologists. The interconnections between mathematics and the life sciences have an extensive history. This book offers a new approach to using mathematics to model applications using computers, to employ numerical methods, and takes students a step further into the realm of sensitivity analysis. With some guidance and practice, the reader will have a new and incredibly powerful tool to use. https://www.math.fsu.edu/~cogan/Book/Codes/Codes.html
An Introduction To Undergraduate Research In Computational And Mathematical Biology
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Author : Hannah Callender Highlander
language : en
Publisher: Springer Nature
Release Date : 2020-02-17
An Introduction To Undergraduate Research In Computational And Mathematical Biology written by Hannah Callender Highlander and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-17 with Mathematics categories.
Speaking directly to the growing importance of research experience in undergraduate mathematics programs, this volume offers suggestions for undergraduate-appropriate research projects in mathematical and computational biology for students and their faculty mentors. The aim of each chapter is twofold: for faculty, to alleviate the challenges of identifying accessible topics and advising students through the research process; for students, to provide sufficient background, additional references, and context to excite students in these areas and to enable them to successfully undertake these problems in their research. Some of the topics discussed include: • Oscillatory behaviors present in real-world applications, from seasonal outbreaks of childhood diseases to action potentials in neurons • Simulating bacterial growth, competition, and resistance with agent-based models and laboratory experiments • Network structure and the dynamics of biological systems • Using neural networks to identify bird species from birdsong samples • Modeling fluid flow induced by the motion of pulmonary cilia Aimed at undergraduate mathematics faculty and advanced undergraduate students, this unique guide will be a valuable resource for generating fruitful research collaborations between students and faculty.
Encyclopedia Of Theoretical Ecology
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Author : Dr. Alan Hastings
language : en
Publisher: Univ of California Press
Release Date : 2012-05-31
Encyclopedia Of Theoretical Ecology written by Dr. Alan Hastings and has been published by Univ of California Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-31 with Nature categories.
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.
Ecology Volume Ii
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Author : Antonio Bodini
language : en
Publisher: EOLSS Publications
Release Date : 2009-10-20
Ecology Volume Ii written by Antonio Bodini and has been published by EOLSS Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-20 with categories.
Ecology is a component of Encyclopedia of Environmental and Ecological Sciences, Engineering and Technology Resources in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. Ecology is the study of the interrelationships between living organisms and their environment. The term "ecology" was introduced by Ernst Haeckel, at the end of the nineteenth century. Since that time spectacular advances have been made. Much has been learned about the relationship between organisms and environmental factors, and about the processes that regulate the abundance and distribution of species. The Theme on Ecology with contributions from distinguished experts in the field discusses the Science of Ecology for a Sustainable World. The two volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.