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Taylor's Power Law - Order and Pattern in Nature (Paperback)
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Taylor's Power Law - Order and Pattern in Nature (Paperback)
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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.
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