@misc{Ulrich_Werner_Species_2001,
 author={Ulrich, Werner},
 editor={Polish Academy of Sciences. Institute of Ecology},
 copyright={Creative Commons Attribution BY 3.0 PL license},
 address={Dziekanów Leśny},
 howpublished={online},
 year={2001},
 language={eng},
 abstract={Using model assemblages and random samplings the relations between 8 relative abundance distributions (RADs) (broken stick, logseries, power fraction, random fraction, Sugihara fraction, and two types of Zipf-Mandelbrot models) and resulting species-area relationships (SPARs) were studied. It is shown that the model fit of the power function and the exponential SPAR model depends mainly on the number of species per unit of area, the fraction of singletons in the sample, and the total species number in the assemblage. Sugihara and power fraction RADs did not necessarily led to power function SPARs but are characterized by relatively high slope values in comparison to other distributions. Random placement and sampling of individuals of Zipf-Mandelbrot and log-series distributions resulted in curvilinear local vs. regional plots and the slope value z of the power function SPAR was not necessarily constant but could be forced to become constant by introducing a correction factor into the power function SPAR. The implications of these findings for detecting local species saturation are discussed.},
 type={Text},
 title={Species area relations generated by theoretical relative abundance distributions: parameter values, model fit and relation to species saturation studies},
 URL={http://rcin.org.pl/miiz/Content/115783/PDF/WA058_91402_P2840-T49_Eko-Pol-A-Nr-1.pdf},
 volume={49},
 number={1},
 journal={Polish Journal of Ecology},
 publisher={Polish Academy of Sciences. Institute of Ecology. Publishing Office},
 keywords={relative abundance distributions, species-area relation, species saturation, proportional sampling, power fraction, Zipf-Mandelbrot distribution, log-series, Sugihara fraction, random fraction},
}