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Taylor's power law = order and patte...
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Taylor, R. A. J.,
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Taylor's power law = order and pattern in nature /
Record Type:
Electronic resources : Monograph/item
Title/Author:
Taylor's power law/ R.A.J. Taylor.
Reminder of title:
order and pattern in nature /
Author:
Taylor, R. A. J.,
Published:
London :Academic Press, : 2019.,
Description:
1 online resource.
[NT 15003449]:
Introduction -- Part I. Spatial pattern -- Measuring aggregation -- Fitting TPL. -- Part II. Microorganisms -- Plants -- Nematodes and other worms -- Other invertebrates -- Vertebrates -- Other biological examples -- Nonbiological examples -- Counter examples. -- Part III. Applications of TPL-- Properties of TPL -- Allometry and other power laws -- Modeling TPL -- Summary and synthesis -- Epilogue.
Subject:
Spatial ecology. -
Online resource:
https://www.sciencedirect.com/science/book/9780128109878
ISBN:
9780128109885 (electronic bk.)
Taylor's power law = order and pattern in nature /
Taylor, R. A. J.,
Taylor's power law
order and pattern in nature /[electronic resource] :R.A.J. Taylor. - London :Academic Press,2019. - 1 online resource.
Includes bibliographical references and index.
Introduction -- Part I. Spatial pattern -- Measuring aggregation -- Fitting TPL. -- Part II. Microorganisms -- Plants -- Nematodes and other worms -- Other invertebrates -- Vertebrates -- Other biological examples -- Nonbiological examples -- Counter examples. -- Part III. Applications of TPL-- Properties of TPL -- Allometry and other power laws -- Modeling TPL -- Summary and synthesis -- Epilogue.
Taylor's Power Law: Order and Pattern in Nature is a broad synthesis of this ubiquitous property of natural and man-made phenomena. This stimulating and approachable work surveys the biological and non-biological empirical data, describes the statistical uses of Taylor's power law (TPL) and its relationship to statistical distributions, exposes the mathematical connections to other power laws, covers the competing explanatory models; and develops an argument for TPL's genesis. Taylor's power law relates the variability of a process or population to its average value. It was first described in relation to insect populations and then more broadly to other animal and plant populations. Subsequently it has been recognized in microbiology, genetics, economics, astronomy, physics, and computer science, and it is thought to be one of the few general laws in ecology where it is routinely used to describe the spatial and temporal distributions of populations. Biologists who know the law as Taylor's power law and physical scientists who know it as fluctuation scaling will be interested in the bigger picture on this fascinating subject. As the relationship between variance and mean is found in so wide a range of disciplines, it seems possible it is a deep property of number, not just a phenomenon in ecology as was thought originally. Although theories abound that purport to explain or predict TPL, none is entirely satisfactory either because it fails to be very predictive, or it does not account for all the available empirical data. To uncover such a property requires a synthesis across disciplines, an acute need that is approached by this exciting work. Provides a single reference describing the properties, scope, and limitations of Taylor's power lawReports the empirical, analytical, and theoretical work without opinion and ends with a critique of the work in order to develop a synthesisCollects together thoughts and suggestions of the hundreds who have written and speculated about Taylor's power law in order to review examples (and counter-examples), as well as examine the various models developed to account for it
ISBN: 9780128109885 (electronic bk.)Subjects--Topical Terms:
619147
Spatial ecology.
Index Terms--Genre/Form:
542853
Electronic books.
LC Class. No.: QH541.15.S62
Dewey Class. No.: 577.0151
Taylor's power law = order and pattern in nature /
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Introduction -- Part I. Spatial pattern -- Measuring aggregation -- Fitting TPL. -- Part II. Microorganisms -- Plants -- Nematodes and other worms -- Other invertebrates -- Vertebrates -- Other biological examples -- Nonbiological examples -- Counter examples. -- Part III. Applications of TPL-- Properties of TPL -- Allometry and other power laws -- Modeling TPL -- Summary and synthesis -- Epilogue.
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Taylor's Power Law: Order and Pattern in Nature is a broad synthesis of this ubiquitous property of natural and man-made phenomena. This stimulating and approachable work surveys the biological and non-biological empirical data, describes the statistical uses of Taylor's power law (TPL) and its relationship to statistical distributions, exposes the mathematical connections to other power laws, covers the competing explanatory models; and develops an argument for TPL's genesis. Taylor's power law relates the variability of a process or population to its average value. It was first described in relation to insect populations and then more broadly to other animal and plant populations. Subsequently it has been recognized in microbiology, genetics, economics, astronomy, physics, and computer science, and it is thought to be one of the few general laws in ecology where it is routinely used to describe the spatial and temporal distributions of populations. Biologists who know the law as Taylor's power law and physical scientists who know it as fluctuation scaling will be interested in the bigger picture on this fascinating subject. As the relationship between variance and mean is found in so wide a range of disciplines, it seems possible it is a deep property of number, not just a phenomenon in ecology as was thought originally. Although theories abound that purport to explain or predict TPL, none is entirely satisfactory either because it fails to be very predictive, or it does not account for all the available empirical data. To uncover such a property requires a synthesis across disciplines, an acute need that is approached by this exciting work. Provides a single reference describing the properties, scope, and limitations of Taylor's power lawReports the empirical, analytical, and theoretical work without opinion and ends with a critique of the work in order to develop a synthesisCollects together thoughts and suggestions of the hundreds who have written and speculated about Taylor's power law in order to review examples (and counter-examples), as well as examine the various models developed to account for it
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https://www.sciencedirect.com/science/book/9780128109878
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