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The species–area relationship or species–area curve describes the relationship between the area of a habitat, or of part of a habitat, and the number of species found within that area. Larger areas tend to contain larger numbers of species, and empirically, the relative numbers seem to follow systematic mathematical relationships. [ 1 ]
Kleiber's law, like many other biological allometric laws, is a consequence of the physics and/or geometry of circulatory systems in biology. [5] Max Kleiber first discovered the law when analyzing a large number of independent studies on respiration within individual species. [2]
In the equation, S is the total number of species (species richness) in the dataset, and the proportional abundance of the ith species is . Large values of q lead to smaller gamma diversity than small values of q , because increasing q increases the weight given to those species with the highest proportional abundance, and fewer equally ...
Rarefaction curves generally grow rapidly at first, as the most common species are found, but the curves plateau as only the rarest species remain to be sampled. [1] The issue that occurs when sampling various species in a community is that the larger the number of individuals sampled, the more species that will be found.
n 0 is the number of species in the modal bin (the peak of the curve) n is the number of species in bins R distant from the modal bin a is a constant derived from the data. It is then possible to predict how many species are in the community by calculating the total area under the curve (N): =
When plotted as a histogram of number (or percent) of species on the y-axis vs. abundance on an arithmetic x-axis, the classic hyperbolic J-curve or hollow curve is produced, indicating a few very abundant species and many rare species. [2] The SAD is central prediction of the Unified neutral theory of biodiversity.
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Metabolic rate scales with the mass of an organism of a given species according to Kleiber's law where B is whole organism metabolic rate (in watts or other unit of power), M is organism mass (in kg), and B o is a mass-independent normalization constant (given in a unit of power divided by a unit of mass. In this case, watts per kilogram):