Introduction to Hierarchical Bayesian Modeling for Ecological Data

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Release : 2012-08-21
Genre : Mathematics
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Book Rating : 209/5 ( reviews)

Introduction to Hierarchical Bayesian Modeling for Ecological Data - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Hierarchical Bayesian Modeling for Ecological Data write by Eric Parent. This book was released on 2012-08-21. Introduction to Hierarchical Bayesian Modeling for Ecological Data available in PDF, EPUB and Kindle. Making statistical modeling and inference more accessible to ecologists and related scientists, Introduction to Hierarchical Bayesian Modeling for Ecological Data gives readers a flexible and effective framework to learn about complex ecological processes from various sources of data. It also helps readers get started on building their own statisti

Bayesian Models

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Release : 2015-08-04
Genre : Science
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Book Rating : 553/5 ( reviews)

Bayesian Models - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bayesian Models write by N. Thompson Hobbs. This book was released on 2015-08-04. Bayesian Models available in PDF, EPUB and Kindle. Bayesian modeling has become an indispensable tool for ecological research because it is uniquely suited to deal with complexity in a statistically coherent way. This textbook provides a comprehensive and accessible introduction to the latest Bayesian methods—in language ecologists can understand. Unlike other books on the subject, this one emphasizes the principles behind the computations, giving ecologists a big-picture understanding of how to implement this powerful statistical approach. Bayesian Models is an essential primer for non-statisticians. It begins with a definition of probability and develops a step-by-step sequence of connected ideas, including basic distribution theory, network diagrams, hierarchical models, Markov chain Monte Carlo, and inference from single and multiple models. This unique book places less emphasis on computer coding, favoring instead a concise presentation of the mathematical statistics needed to understand how and why Bayesian analysis works. It also explains how to write out properly formulated hierarchical Bayesian models and use them in computing, research papers, and proposals. This primer enables ecologists to understand the statistical principles behind Bayesian modeling and apply them to research, teaching, policy, and management. Presents the mathematical and statistical foundations of Bayesian modeling in language accessible to non-statisticians Covers basic distribution theory, network diagrams, hierarchical models, Markov chain Monte Carlo, and more Deemphasizes computer coding in favor of basic principles Explains how to write out properly factored statistical expressions representing Bayesian models

Hierarchical Modeling and Inference in Ecology

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Release : 2008-10-15
Genre : Science
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Book Rating : 255/5 ( reviews)

Hierarchical Modeling and Inference in Ecology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hierarchical Modeling and Inference in Ecology write by J. Andrew Royle. This book was released on 2008-10-15. Hierarchical Modeling and Inference in Ecology available in PDF, EPUB and Kindle. A guide to data collection, modeling and inference strategies for biological survey data using Bayesian and classical statistical methods. This book describes a general and flexible framework for modeling and inference in ecological systems based on hierarchical models, with a strict focus on the use of probability models and parametric inference. Hierarchical models represent a paradigm shift in the application of statistics to ecological inference problems because they combine explicit models of ecological system structure or dynamics with models of how ecological systems are observed. The principles of hierarchical modeling are developed and applied to problems in population, metapopulation, community, and metacommunity systems. The book provides the first synthetic treatment of many recent methodological advances in ecological modeling and unifies disparate methods and procedures. The authors apply principles of hierarchical modeling to ecological problems, including * occurrence or occupancy models for estimating species distribution * abundance models based on many sampling protocols, including distance sampling * capture-recapture models with individual effects * spatial capture-recapture models based on camera trapping and related methods * population and metapopulation dynamic models * models of biodiversity, community structure and dynamics Wide variety of examples involving many taxa (birds, amphibians, mammals, insects, plants) Development of classical, likelihood-based procedures for inference, as well as Bayesian methods of analysis Detailed explanations describing the implementation of hierarchical models using freely available software such as R and WinBUGS Computing support in technical appendices in an online companion web site

Introduction to Hierarchical Bayesian Modeling for Ecological Data

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Release : 2012-08-21
Genre : Mathematics
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Book Rating : 195/5 ( reviews)

Introduction to Hierarchical Bayesian Modeling for Ecological Data - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Hierarchical Bayesian Modeling for Ecological Data write by Eric Parent. This book was released on 2012-08-21. Introduction to Hierarchical Bayesian Modeling for Ecological Data available in PDF, EPUB and Kindle. Making statistical modeling and inference more accessible to ecologists and related scientists, Introduction to Hierarchical Bayesian Modeling for Ecological Data gives readers a flexible and effective framework to learn about complex ecological processes from various sources of data. It also helps readers get started on building their own statistical models. The text begins with simple models that progressively become more complex and realistic through explanatory covariates and intermediate hidden states variables. When fitting the models to data, the authors gradually present the concepts and techniques of the Bayesian paradigm from a practical point of view using real case studies. They emphasize how hierarchical Bayesian modeling supports multidimensional models involving complex interactions between parameters and latent variables. Data sets, exercises, and R and WinBUGS codes are available on the authors’ website. This book shows how Bayesian statistical modeling provides an intuitive way to organize data, test ideas, investigate competing hypotheses, and assess degrees of confidence of predictions. It also illustrates how conditional reasoning can dismantle a complex reality into more understandable pieces. As conditional reasoning is intimately linked with Bayesian thinking, considering hierarchical models within the Bayesian setting offers a unified and coherent framework for modeling, estimation, and prediction.

Models for Ecological Data

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Release : 2020-10-06
Genre : Science
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Book Rating : 123/5 ( reviews)

Models for Ecological Data - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Models for Ecological Data write by James S. Clark. This book was released on 2020-10-06. Models for Ecological Data available in PDF, EPUB and Kindle. The environmental sciences are undergoing a revolution in the use of models and data. Facing ecological data sets of unprecedented size and complexity, environmental scientists are struggling to understand and exploit powerful new statistical tools for making sense of ecological processes. In Models for Ecological Data, James Clark introduces ecologists to these modern methods in modeling and computation. Assuming only basic courses in calculus and statistics, the text introduces readers to basic maximum likelihood and then works up to more advanced topics in Bayesian modeling and computation. Clark covers both classical statistical approaches and powerful new computational tools and describes how complexity can motivate a shift from classical to Bayesian methods. Through an available lab manual, the book introduces readers to the practical work of data modeling and computation in the language R. Based on a successful course at Duke University and National Science Foundation-funded institutes on hierarchical modeling, Models for Ecological Data will enable ecologists and other environmental scientists to develop useful models that make sense of ecological data. Consistent treatment from classical to modern Bayes Underlying distribution theory to algorithm development Many examples and applications Does not assume statistical background Extensive supporting appendixes Lab manual in R is available separately