On species-area relationships. 2, Slope and factor values of power function and exponential model

Ulrich, Werner

doi:ISSN 1505-2249

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On species-area relationships. 2, Slope and factor values of power function and exponential model Ulrich, Werner

Object structure

On species-area relationships. 2, Slope and factor values of power function and exponential model

Species-area relationships II ; Slope and factor values of power function and exponential model

Ulrich, Werner

Polish Academy of Sciences. Institute of Ecology

Polish Academy of Sciences. Institute of Ecology. Publishing Office

Dziekanów Leśny

2000

Strony 21-35 : ilustracje ; 27 cm ; Bibliografia na stronach 34-35

Czasopismo/Artykuł

species-area relationship ; model species assemblages ; diversity ; evenness ; relative abundance distributions ; random sampling

Using model assemblages generated by a FORTRAN program the parameter values of the slope of the power function and the factor of the exponential model of species-area relationships have been studied. It appeared that the slope value is not a constant independent of area and sampling method but depends strongly on grain, sampling method, and model fit. The fraction of singletons in the sample proofed to be of major importance. A plot of slope against assemblage structure (estimated by the standard deviation of log2 ( densities) was bell shaped with the highest slope values at intermediate SD values. A comparison of this plot with SD values from theoretical relative abundance distributions showed that log-normal distributed assemblages should have slope values that are higher than previously reported in the literature. Although it was impossible to predict the slope from the relative abundance distribution, the opposite was possible. At any given slope value there are two linked relative abundance distributions. The factor of the exponential model was more independent of sampling methods but linearity connected with sampling efficacy. A high non-linear correlation between factor and Shannon diversity was detected and a general function of this relationship developed and tested. The factor of the exponential species-area relationship may serve as an estimate of regional diversity.

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