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Modelling for Field Biologists and Other Interesting People

Modelling for Field Biologists and Other Interesting People
Author: Hanna Kokko
Publisher: Cambridge University Press
Total Pages: 194
Release: 2007-06-28
Genre: Medical
ISBN: 1139463659
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Students of evolutionary and behavioural ecology are often unfamiliar with mathematical techniques, though much of biology relies on mathematics. Evolutionary ideas are often complex, meaning that the logic of hypotheses proposed should not only be tested empirically but also mathematically. There are numerous different modelling tools used by ecologists, ranging from population genetic 'bookkeeping', to game theory and individual-based computer simulations. Due to the many different modelling options available, it is often difficult to know where to start. Hanna Kokko has designed this 2007 book to help with these decisions. Each method described is illustrated with one or two biologically interesting examples that have been chosen to help overcome fears of many biologists when faced with mathematical work, whilst also providing the programming code (Matlab) for each problem. Aimed primarily at students of evolutionary and behavioural ecology, this book will be of interest to any biologist interested in mathematical modelling.

A Biologist's Guide to Mathematical Modeling in Ecology and Evolution

A Biologist's Guide to Mathematical Modeling in Ecology and Evolution
Author: Sarah P. Otto
Publisher: Princeton University Press
Total Pages: 745
Release: 2011-09-19
Genre: Science
ISBN: 1400840910
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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

Spatial Analysis in Field Primatology

Spatial Analysis in Field Primatology
Author: Francine L. Dolins
Publisher: Cambridge University Press
Total Pages: 461
Release: 2021-02-18
Genre: Nature
ISBN: 1107062306
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A primatologist's guide to using geographic information systems (GIS); from mapping and field accuracy, to tracking travel routes and the impact of logging.

Game-Theoretical Models in Biology

Game-Theoretical Models in Biology
Author: Mark Broom
Publisher: CRC Press
Total Pages: 746
Release: 2022-08-03
Genre: Mathematics
ISBN: 1000623726
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Covering the major topics of evolutionary game theory, Game-Theoretical Models in Biology, Second Edition presents both abstract and practical mathematical models of real biological situations. It discusses the static aspects of game theory in a mathematically rigorous way that is appealing to mathematicians. In addition, the authors explore many applications of game theory to biology, making the text useful to biologists as well. The book describes a wide range of topics in evolutionary games, including matrix games, replicator dynamics, the hawk-dove game, and the prisoner’s dilemma. It covers the evolutionarily stable strategy, a key concept in biological games, and offers in-depth details of the mathematical models. Most chapters illustrate how to use Python to solve various games. Important biological phenomena, such as the sex ratio of so many species being close to a half, the evolution of cooperative behaviour, and the existence of adornments (for example, the peacock’s tail), have been explained using ideas underpinned by game theoretical modelling. Suitable for readers studying and working at the interface of mathematics and the life sciences, this book shows how evolutionary game theory is used in the modelling of these diverse biological phenomena. In this thoroughly revised new edition, the authors have added three new chapters on the evolution of structured populations, biological signalling games, and a topical new chapter on evolutionary models of cancer. There are also new sections on games with time constraints that convert simple games to potentially complex nonlinear ones; new models on extortion strategies for the Iterated Prisoner’s Dilemma and on social dilemmas; and on evolutionary models of vaccination, a timely section given the current Covid pandemic. Features Presents a wide range of biological applications of game theory. Suitable for researchers and professionals in mathematical biology and the life sciences, and as a text for postgraduate courses in mathematical biology. Provides numerous examples, exercises, and Python code.

MATHEMATICAL MODELS – Volume III

MATHEMATICAL MODELS – Volume III
Author: Jerzy A. Filar
Publisher: EOLSS Publications
Total Pages: 398
Release: 2009-09-19
Genre: Mathematical models
ISBN: 1848262442
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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.

An Introduction to Undergraduate Research in Computational and Mathematical Biology

An Introduction to Undergraduate Research in Computational and Mathematical Biology
Author: Hannah Callender Highlander
Publisher: Springer Nature
Total Pages: 479
Release: 2020-02-17
Genre: Mathematics
ISBN: 303033645X
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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.

Social Behaviour

Social Behaviour
Author: Tamás Székely
Publisher: Cambridge University Press
Total Pages: 575
Release: 2010-11-18
Genre: Medical
ISBN: 0521883172
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A comprehensive analysis of the genetic, ecological and phylogenetic aspects of social behaviour, by experts in the field.

Foundational and Applied Statistics for Biologists Using R

Foundational and Applied Statistics for Biologists Using R
Author: Ken A. Aho
Publisher: CRC Press
Total Pages: 598
Release: 2016-03-09
Genre: Mathematics
ISBN: 1439873399
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Full of biological applications, exercises, and interactive graphical examples, this text presents comprehensive coverage of both modern analytical methods and statistical foundations. The author harnesses the inherent properties of the R environment to enable students to examine the code of complicated procedures step by step and thus better understand the process of obtaining analysis results. The graphical capabilities of R are used to provide interactive demonstrations of simple to complex statistical concepts. R code and other materials are available online.

Genes and Behaviour

Genes and Behaviour
Author: David J. Hosken
Publisher: John Wiley & Sons
Total Pages: 272
Release: 2019-04-15
Genre: Science
ISBN: 1119313422
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Provides a broad snapshot of recent findings showing how the environment and genes influence behavior The great debate of nature versus nurture rages on — but our understanding of the genetic basis of many behaviors has expanded over the last decade, and there is now very good evidence showing that seemingly complex behaviours can have relatively simple genetic underpinnings, but also that most behaviours have very complicated genetic and environmental architecture. Studies have also clearly shown that behaviors, and other traits, are influenced not just by genes and the environment, but also by the statistical interaction between the two. This book aims to end the nature versus nurture argument by showing that behaviors are nature and nurture and the interaction between the two, and by illustrating how single genes can explain some of the variation in behaviors even when they are seemingly complex. Genes and Behaviour: Beyond Nature-Nurture puts to rest the nature versus nurture dichotomy, providing an up-to-date synopsis of where we are, how far we've come and where we are headed. It considers the effects of a dual-inheritance of genes and culture, and genes and social environment, and highlights how indirect genetic effects can affect the evolution of behavior. It also examines the effect of non-self genes on the behavior of hosts, shines a light on the nature and nurturing of animal minds and invites us to embrace all the complexity nature and nurture generates, and more. Explores exciting new findings about behavior and where we go from here Features contributions by top scholars of the subject Seeks to end the nature versus nurture debate forever Genes and Behaviour: Beyond Nature-Nurture is a unique, and eye-opening read that will appeal to Ph.D. Students, post-doctoral fellows, and researchers in evolution and behavior. Additionally, the book will also be of interest to geneticists, sociologists and philosophers.

Human Behavioral Ecology

Human Behavioral Ecology
Author: Jeremy Koster
Publisher: Cambridge University Press
Total Pages: 535
Release: 2024-02-29
Genre: Social Science
ISBN: 1108386326
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Human behavioral ecology (HBE) applies the principles of evolutionary theory and optimisation to the study of human behavioural and cultural diversity. Among other things, HBE attempts to explain variation in behaviour as adaptive solutions to the competing life-history demands of growth, development, reproduction, parental care, and mate acquisition. This book is a comprehensive introduction to the theoretical orientation and specific findings of HBE. It consolidates the insights of evolution and human behaviour into a single volume that reflects the current state and future of the field. It brings together leading scholars from across the evolutionary social sciences to provide a comprehensive and thought-provoking review of the state of the topic. Throughout, the authors explain the latest developments in theory and highlight critical debates in the literature, while also engaging readers with ethnographic insights and field-based studies that remain at the core of human behavioral ecology.