Applying Graph Theory in Ecological Research

Applying Graph Theory in Ecological Research
Author: Mark R.T. Dale
Publisher: Cambridge University Press
Total Pages: 355
Release: 2017-11-09
Genre: Nature
ISBN: 1108508952

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Graph theory can be applied to ecological questions in many ways, and more insights can be gained by expanding the range of graph theoretical concepts applied to a specific system. But how do you know which methods might be used? And what do you do with the graph once it has been obtained? This book provides a broad introduction to the application of graph theory in different ecological systems, providing practical guidance for researchers in ecology and related fields. Readers are guided through the creation of an appropriate graph for the system being studied, including the application of spatial, spatio-temporal, and more abstract structural process graphs. Simple figures accompany the explanations to add clarity, and a broad range of ecological phenomena from many ecological systems are covered. This is the ideal book for graduate students and researchers looking to apply graph theoretical methods in their work.

Applying Graph Theory in Ecological Research

Applying Graph Theory in Ecological Research
Author: Mark R.T. Dale
Publisher: Cambridge University Press
Total Pages: 355
Release: 2017-11-09
Genre: Mathematics
ISBN: 110708931X

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This book clearly describes the many applications of graph theory to ecological questions, providing instruction and encouragement to researchers.

Quantitative Analysis of Ecological Networks

Quantitative Analysis of Ecological Networks
Author: Mark R. T. Dale
Publisher: Cambridge University Press
Total Pages: 250
Release: 2021-04-15
Genre: Nature
ISBN: 1108632971

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Network thinking and network analysis are rapidly expanding features of ecological research. Network analysis of ecological systems include representations and modelling of the interactions in an ecosystem, in which species or factors are joined by pairwise connections. This book provides an overview of ecological network analysis including generating processes, the relationship between structure and dynamic function, and statistics and models for these networks. Starting with a general introduction to the composition of networks and their characteristics, it includes details on such topics as measures of network complexity, applications of spectral graph theory, how best to include indirect species interactions, and multilayer, multiplex and multilevel networks. Graduate students and researchers who want to develop and understand ecological networks in their research will find this volume inspiring and helpful. Detailed guidance to those already working in network ecology but looking for advice is also included.

Fuzzy Graph Theory

Fuzzy Graph Theory
Author: Sunil Mathew
Publisher: Springer
Total Pages: 320
Release: 2017-12-30
Genre: Technology & Engineering
ISBN: 3319714074

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This book provides a timely overview of fuzzy graph theory, laying the foundation for future applications in a broad range of areas. It introduces readers to fundamental theories, such as Craine’s work on fuzzy interval graphs, fuzzy analogs of Marczewski’s theorem, and the Gilmore and Hoffman characterization. It also introduces them to the Fulkerson and Gross characterization and Menger’s theorem, the applications of which will be discussed in a forthcoming book by the same authors. This book also discusses in detail important concepts such as connectivity, distance and saturation in fuzzy graphs. Thanks to the good balance between the basics of fuzzy graph theory and new findings obtained by the authors, the book offers an excellent reference guide for advanced undergraduate and graduate students in mathematics, engineering and computer science, and an inspiring read for all researchers interested in new developments in fuzzy logic and applied mathematics.

Introduction to Graph Theory

Introduction to Graph Theory
Author: Koh Khee Meng
Publisher: World Scientific Publishing Company
Total Pages: 244
Release: 2007-03-15
Genre: Mathematics
ISBN: 9813101636

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Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for junior college. The book builds on the verity that graph theory at this level is a subject that lends itself well to the development of mathematical reasoning and proof.

Graph Theory and Its Applications to Problems of Society

Graph Theory and Its Applications to Problems of Society
Author: Fred S. Roberts
Publisher: SIAM
Total Pages: 123
Release: 1978-01-01
Genre: Mathematics
ISBN: 089871026X

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Explores modern topics in graph theory and its applications to problems in transportation, genetics, pollution, perturbed ecosystems, urban services, and social inequalities. The author presents both traditional and relatively atypical graph-theoretical topics to best illustrate applications.

Spatial Analysis

Spatial Analysis
Author: Marie-Josée Fortin
Publisher: Cambridge University Press
Total Pages: 386
Release: 2005-04-21
Genre: Mathematics
ISBN: 9780521804349

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An overview of the wide range of spatial statistics available to analyse ecological data.

Joint Species Distribution Modelling

Joint Species Distribution Modelling
Author: Otso Ovaskainen
Publisher: Cambridge University Press
Total Pages: 389
Release: 2020-06-11
Genre: Nature
ISBN: 1108492460

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A comprehensive account of joint species distribution modelling, covering statistical analyses in light of modern community ecology theory.

Ecological Statistics

Ecological Statistics
Author: Gordon A. Fox
Publisher: Oxford University Press
Total Pages: 407
Release: 2015
Genre: Science
ISBN: 0199672547

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An intermediate level text covering foundational ideas in statistics and their ecological application, including generalized linear and generalized mixed-effect models, as well as models allowing for mixtures, spatial or phylogenetic correlations, missing or censored data, and observational data; implemented in R and set within a contemporary research framework.