Title:

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

Subtitle:

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

Creator:

Ulrich, Werner

Contributor:

Polish Academy of Sciences. Institute of Ecology

Publisher:

Polish Academy of Sciences. Institute of Ecology. Publishing Office

Place of publishing:

Dziekanów Leśny

Date issued/created:

2000

Description:

Pages 21-35 : illustrations ; 27 cm ; Bibliographical references (pages 21-35)

Type of object:

Journal/Article

Subject and Keywords:

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

Abstract:

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.

References:

Arrhenius O. 1923 - Statistical investigation in the constitution of plant associations - Ecology 4: 68-73.
Connor E. F., McCoy E. D. 1979 - The statistics and biology of the species -area relationship - Am. Nat. 113: 791-833.
Begon M., Harper J. L., Townsend C. R. 1986 - Ecology - Oxford, pp. 1-876.
Gaston K. J. 1996 - The multiple forms of the interspecific abundance - distribution relationship - Oikos, 76: 211-220.
Hanski I. 1982 - Dynamics of regional distribution: the core and satellite hypothesis - Oikos, 38: 210-221.
Hanski I., Gyllenberg M. 1997 - Uniting two general patterns in the distribution of species - Science, 275: 397-400.
Harte J., Kinzig A. P. 1997 - On the implications of species - area relationships for endemism, spatial turnover, and food web patterns - Oikos, 80: 417-427.
Harte J, Kinzig A. P., Green J. 1999 - Self-similarity in the distribution and abundance of species - Science, 284: 334-336.
He F., Legendre P. 1996 - On species area relations - Am. Nat. 148: 719-737.
Leitner W. A., Rosenzweig M. L. 1997 - Nested species-area curves and stochastic sampling: a new theory - Oikos, 79: 503-512.
MacArthur R. H. 1965 - Patterns of species diversity - Biol. Rev. 40: 510-533.
MacArthur R. H., Wi Ison E. O. 1967 - The Theory of Island Biogeography - Princeton, Univ. Press.
Martin T. E. 1981 - Species-area slopes and coefficients: a caution on their interpretation - Am. Nat. 118: 823-837.
May R. M. 1975 - Patterns of species abundance and diversity - (In: Ecology and evolution of communities Eds. M. L. Cody, J. M. Diamond) - Belknap (Cambridge), pp. 81-120.
Ney-Nifle M, Mangel M. 1999 - Species-area curves based on geographic range and occupancy - J. Theor. Biol. 196: 327-342.
Palmer M. W., White P. S. 1994 - Scale dependence and the species - area relationship - Am. Nat. 144: 717-740.
Preston F. W. 1962 - The canonical distribution of commonness and rarity. Part I and II - Ecology, 43: 185-215, 410-432.
Rosenzweig M. L. 1995 - Species diversity in space and time - Cambridge, Univ. Press.
Rosenzweig M. L. 1999 - Heeding the warning in biodiversity's basic law - Science, 284: 276-277.
Rosenzweig M. L., Sandlin E. A. 1997 - Species diversity and latitude: listening to area's signal - Oikos, 80: 172-176.
Schoener T. W. 1976 -The species-area relation within archipelagos: models and evidence from island land birds (In: Proc. 16th Int. Ornith. Congr. 1976 Eds. H. J. Frith, J. H. Calaby) - Canberra, pp. 629-642.
Strong D. R. 1974 - Nonasymptotic species richness models and the insects of British trees - Proc. Nat. Acad. Sci. USA 71: 2766-2769.
Sugihara G. 1981 - S = CAz, z ≈ 1/4; a reply to Connor and McCoy - Am. Nat. 117: 790-793.
Ulrich W. 1999 - The numbers of species of Hymenoptera in Europe and assessment of the total number of Hymenoptera in the world - Pol. J. Entomol. 68: 151-164.
Ulrich W. 2000a - On species-area relationships I: Fit of power function and exponential model - Pol. J. Ecol. 48: 3-20.
Ulrich W. 2000b - On species-area relationships III: the intercept - Pol. J. Ecol. 48: 37-48
Whitehead D. R., Jones C. E. 1969 - Small islands and the equilibrium theory of insular biogeography - Evolution, 23: 171-179.
Wilson E. O., Taylor R. W. 1967 - An estimate of the potential evolutionary increase in species density in the Polynesian ant fauna - Evolution, 21: 1-10.
Wissel Ch., Maier B. 1992 - A stochastic model for the species-area relationship - J. Biogeogr. 19: 355-362.

Relation:

Polish Journal of Ecology

Volume:

48

Issue:

1

Start page:

21

End page:

35

Resource type:

Text

Detailed Resource Type:

Article

Resource Identifier:

ISSN 1505-2249

Source:

MiIZ PAN, call no. P.2840 ; click here to follow the link

Language:

eng

Language of abstract:

Rights:

Creative Commons Attribution BY 3.0 PL license

Terms of use:

Copyright-protected material. [CC BY 3.0 PL] May be used within the scope specified in Creative Commons Attribution BY 3.0 PL license, full text available at: ; -

Digitizing institution:

Museum and Institute of Zoology of the Polish Academy of Sciences

Original in:

Library of the Museum and Institute of Zoology of the Polish Academy of Sciences

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open