Maximum Entropy And Ecology


Maximum Entropy And Ecology
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Maximum Entropy And Ecology


Maximum Entropy And Ecology
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Author : John Harte
language : en
Publisher: Oxford University Press
Release Date : 2011-06-23

Maximum Entropy And Ecology written by John Harte 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 2011-06-23 with Mathematics categories.


Provides readers with the concepts and practical tools required to understand the maximum entropy principle, and apply it to an understanding of ecological patterns. The theory developed predicts realistic forms for all metrics of ecology that describe patterns in the distribution, abundance, and energetics of species.



Forecasting With Maximum Entropy Hb


Forecasting With Maximum Entropy Hb
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Author : FORT
language : en
Publisher: IOP ebooks
Release Date : 2022-11-30

Forecasting With Maximum Entropy Hb written by FORT and has been published by IOP ebooks this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-30 with Entropy (Information theory) categories.


This book aims at providing a unifying framework, based on Information Entropy and its maximization, to connect the phenomenology of evolutionary biology, community ecology, financial economics, and statistical physics. This more comprehensive view, besides providing further insight into problems, enables problem-solving strategies by applying proven methods in one discipline to formally similar problems in other areas. The book also proposes a forecasting method for important practical problems in these disciplines and is directed to researchers, students and practitioners working on modelling the dynamics of complex systems. The common thread is how the flux of information both controls and serves to predict the dynamics of complex systems. It is shown how maximizing the Shannon information entropy allows one to infer a central object controlling the dynamics of complex systems, such as ecosystems or markets. The resulting models, which are known as pairwise maximum-entropy models, can be used to infer interactions from data in a wide variety of systems. Here, two examples are analysed in detail. The first is an application to conservation ecology, namely the issue of providing early warning indicators of population crashes of species of trees in tropical forests. The second is about forecasting the market values of firms through evolutionary economics. An interesting lesson is that PME modelling often produces accurate predictions despite not incorporating explicit interaction mechanisms. Key features Written to be suitable for a broad spectrum of readers and assumes little mathematical specialism. Includes pedagogical features: Worked examples, case studies and summaries. The interdisciplinary approach builds bridges between disciplines. Oriented to solve practical problems. Includes a combination of analytical derivations and numerical simulations with experiments



Entropy In Ecology And Ethology


Entropy In Ecology And Ethology
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Author : Radu Cornel Guiașu
language : en
Publisher: Hauppauge, NY : Nova Science Publishers
Release Date : 2003

Entropy In Ecology And Ethology written by Radu Cornel Guiașu and has been published by Hauppauge, NY : Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.


This book is the result of a collaboration between a biologist and a mathematician. In recent years, different mathematical methods have been used more and more extensively in biology, beyond the applications of common statistical tests that are routinely employed in biological studies. In ecology, for instance, many new measures of diversity have been proposed and used in applications. Some of them are simply proposals without a solid mathematical justification and motivation. Furthermore, when there are too many measures of the same concept, the relationship between these different measures can be confusing. The book deals with the entropic measures of uncertainty, diversity, and interdependence. After all these years, the Shannon entropy, introduced in 1948 as the discrete analogue of Boltzmann's famous H-function from statistical mechanics, has remained the only measure of the amount of uncertainty contained by a probabilistic experiment which not only has all the properties expected from such a measure, but also satisfies a uniqueness theorem proving that its mathematical expression is the only one for which these basic properties hold. More recently, other useful measures, su



Entropy And Diversity


Entropy And Diversity
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Author : Tom Leinster
language : en
Publisher: Cambridge University Press
Release Date : 2021-04-22

Entropy And Diversity written by Tom Leinster and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-22 with Language Arts & Disciplines categories.


Discover the mathematical riches of 'what is diversity?' in a book that adds mathematical rigour to a vital ecological debate.



The Theory Of Ecology


The Theory Of Ecology
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Author : Samuel M. Scheiner
language : en
Publisher: University of Chicago Press
Release Date : 2011-07-15

The Theory Of Ecology written by Samuel M. Scheiner and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-15 with Science categories.


Despite claims to the contrary, the science of ecology has a long history of building theories. Many ecological theories are mathematical, computational, or statistical, though, and rarely have attempts been made to organize or extrapolate these models into broader theories. The Theory of Ecology brings together some of the most respected and creative theoretical ecologists of this era to advance a comprehensive, conceptual articulation of ecological theories. The contributors cover a wide range of topics, from ecological niche theory to population dynamic theory to island biogeography theory. Collectively, the chapters ably demonstrate how theory in ecology accounts for observations about the natural world and how models provide predictive understandings. It organizes these models into constitutive domains that highlight the strengths and weaknesses of ecological understanding. This book is a milestone in ecological theory and is certain to motivate future empirical and theoretical work in one of the most exciting and active domains of the life sciences.



Towards A Thermodynamic Theory For Ecological Systems


Towards A Thermodynamic Theory For Ecological Systems
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Author : S.E. Jorgensen
language : en
Publisher: Elsevier
Release Date : 2004-07-06

Towards A Thermodynamic Theory For Ecological Systems written by S.E. Jorgensen and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-06 with Science categories.


The book presents a consistent and complete ecosystem theory based on thermodynamic concepts. The first chapters are devoted to an interpretation of the first and second law of thermodynamics in ecosystem context. Then Prigogine's use of far from equilibrium thermodynamic is used on ecosystems to explain their reactions to perturbations. The introduction of the concept exergy makes it possible to give a more profound and comprehensive explanation of the ecosystem's reactions and growth-patterns. A tentative fourth law of thermodynamic is formulated and applied to facilitate these explanations. The trophic chain, the global energy and radiation balance and pattern and the reactions of ecological networks are all explained by the use of exergy. Finally, it is discussed how the presented theory can be applied more widely to explain ecological observations and rules, to assess ecosystem health and to develop ecological models.



Entropy And Information


Entropy And Information
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Author : László Orlóci
language : en
Publisher: Balogh Scientific Books
Release Date : 1991

Entropy And Information written by László Orlóci and has been published by Balogh Scientific Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.




Non Equilibrium Thermodynamics And The Production Of Entropy


Non Equilibrium Thermodynamics And The Production Of Entropy
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Author : Axel Kleidon
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-11-18

Non Equilibrium Thermodynamics And The Production Of Entropy written by Axel Kleidon 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 2004-11-18 with Science categories.


The present volume studies the application of concepts from non-equilibrium thermodynamics to a variety of research topics. Emphasis is on the Maximum Entropy Production (MEP) principle and applications to Geosphere-Biosphere couplings. Written by leading researchers from a wide range of backgrounds, the book presents a first coherent account of an emerging field at the interface of thermodynamics, geophysics and life sciences.



Entropy Based Parameter Estimation In Hydrology


Entropy Based Parameter Estimation In Hydrology
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Author : V.P. Singh
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Entropy Based Parameter Estimation In Hydrology written by V.P. Singh 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 2013-04-17 with Science categories.


Since the pioneering work of Shannon in the late 1940's on the development of the theory of entropy and the landmark contributions of Jaynes a decade later leading to the development of the principle of maximum entropy (POME), the concept of entropy has been increasingly applied in a wide spectrum of areas, including chemistry, electronics and communications engineering, data acquisition and storage and retreival, data monitoring network design, ecology, economics, environmental engineering, earth sciences, fluid mechanics, genetics, geology, geomorphology, geophysics, geotechnical engineering, hydraulics, hydrology, image processing, management sciences, operations research, pattern recognition and identification, photogrammetry, psychology, physics and quantum mechanics, reliability analysis, reservoir engineering, statistical mechanics, thermodynamics, topology, transportation engineering, turbulence modeling, and so on. New areas finding application of entropy have since continued to unfold. The entropy concept is indeed versatile and its applicability widespread. In the area of hydrology and water resources, a range of applications of entropy have been reported during the past three decades or so. This book focuses on parameter estimation using entropy for a number of distributions frequently used in hydrology. In the entropy-based parameter estimation the distribution parameters are expressed in terms of the given information, called constraints. Thus, the method lends itself to a physical interpretation of the parameters. Because the information to be specified usually constitutes sufficient statistics for the distribution under consideration, the entropy method provides a quantitative way to express the information contained in the distribution.



Thermodynamics And Ecological Modelling


Thermodynamics And Ecological Modelling
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Author : Sven E. Jorgensen
language : en
Publisher: CRC Press
Release Date : 2018-10-03

Thermodynamics And Ecological Modelling written by Sven E. Jorgensen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-03 with Technology & Engineering categories.


Thermodynamics is used increasingly in ecology to understand the system properties of ecosystems because it is a basic science that describes energy transformation from a holistic view. In the last decade, many contributions to ecosystem theory based on thermodynamics have been published, therefore an important step toward integrating these theories and encouraging a more wide spread use of them is to present them in one volume. An ecosystem consists of interdependent living organisms that are also interdependent with their environment, all of which are involved in a constant transfer of energy and mass within a general state of equilibrium or dis-equilibrium. Thermodynamics can quantify exactly how "organized" or "disorganized" a system is - an extremely useful to know when trying to understand how a dynamic ecosystem is behaving. A part of the Environmental and Ecological (Math) Modeling series, Thermodynamics and Ecology is a book-length study - the first of its kind - of the current thinking on how an ecosystem can be explained and predicted in terms of its thermodynamical behavior. After the introductory chapters on the fundamentals of thermodynamics, the book explains how thermodynamic theory can be specifically applied to the "measurement" of an ecosystem, including the assessment of its state of entropy and enthalpy. Additionally, it will show economists how to put these theories to use when trying to quantify the movement of goods and services through another type of complex living system - a human society.