Object structure
Title:

On species-area relationships. 3, The intercept of the power function and the the exponential model

Subtitle:

Species-area relationships III ; The intercept of the power function and the the 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 37-48 : illustrations ; 27 cm ; Bibliographical references (pages 47-48)

Type of object:

Journal/Article

Subject and Keywords:

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

Abstract:

Using model assemblages the dependence of the intercept of the power function and the exponential model of species-area relationships on slope and factor value were studied. It is shown that the quotient of intercept and total species number in the assemblage (Sunit/Sa) can be interpreted as a relation between local and regional diversity and linked with species-area relations. Two general relations are derived and tested combining both concepts: z = a / In(area) x ln Sunit/Sa, and Sunit/1 / β1Ha/1 / e β = Sunit/2 / β2Ha/2 / e β with z being the slope of the power function model, H the Shannon diversity, β, β1 and β2 constants, and a the constant of the relation between Sunit/Sa and z. It is concluded that with the above functions species-area relationships can be used to infer the relation between local and regional species numbers and to compute regional diversities.

References:

Aho J. M. 1990 - Helminth communities of amphibians and reptiles: comparative approaches to understanding patterns and processes (In: Parasite Communities: Patterns and Processes Eds G. W. Esch, S.A.. O. Bush, J. M. Aho) - Princeton Univ. Press, pp. 157-196.
Aho J. M., Bush A. O. 1993 - Community richness in parasites of some freshwater fishes from North America (In: Species Diversity in Ecological Communities, Eds R. E. Ricklefs, D. Schluter) – Chicago Univ. Press, pp. 185-193.
Caley M. J. 1997 - Local endemism and the relationship between local and regional diversity - Oikos, 79: 612-615.
Caley M. J., Schluter D. 1997 - The relationship between local and regional diversity - Ecology, 78: 70-80.
Connor E. F., McCoy E. D. 1979 - The statistics and biology of the species-area relationship - Am. Nat. 113: 791-833.
Cornell H. V. 1985 – Local and regional richness of cynipine gall wasps on California oaks - Ecology, 66: 1247-1260.
Cornell H. V. 1993 - Unsaturated patterns in species assemblages: the role of regional processes in setting local species richness (In: Species Diversity in Ecological Communities, Eds R. E. Ricklefs, D. Schluter) - Chicago Univ. Press, pp. 243-252.
Cornell H. V., Washburn J. O. 1979 - Evolution of the richness - area correlation for cynipid gall wasps on oak trees: a comparison of two geographic areas - Evolution, 33: 257-274.
Cornell H. V., Lawton J. H. 1992 - Species interactions, local and regional processes, and limits to the richness of ecological communities: a theoretical perspective - J. Anim. Ecol. 61: 1-12.
Gould S. J. 1979 - An allometric interpretation of species-area curves: the meaning of the coefficient.
Griffiths D. 1997 - Local and regional species richness in North American lacustrine fish - J. Anim. Ecol. 66: 49-56.
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.
Heatwole H. 1975 - Biogeography of reptiles on some of the islands and cays of eastern Papua New Guinea - Atoll Res. Bull. 180.
Hopkins B. 1955 - The concept of minimal area - J. Ecol. 45: 441-449.
Hugueny B., Paugy D. 1995 - Unsaturated fish communities in African rivers - Am. Nat. 146: 162-169.
Hugueny B., de Morais L. T., Merigoux S., de Merona B., Ponton D. 1997 - The relationship between local and regional species richness: comparing biotas with different evolutionary histories - Oikos, 80: 583-587.
Johnson M. P., Raven P. H. 1970 - Natural regulation of plant species diversity - Evol. Biol. 4: 127-162.
Karlson R. H., Cornell H. V. 1998 – Scale-dependent variation in local vs. regional effects on coral species richness - Ecol. Monogr. 68: 259-274.
Keating K. A. 1998 - Estimating species richness: the Michaelis-Menten model revisited - Oikos, 81: 411-416.
LaBarbera M. 1985 - The Evolution and ecology of body size (In: Patterns and processes in the History of Life, Eds.: D. M. Raup, D. Jabłoński) - Springer (Berlin), pp. 69-98.
Lawton J. H. 1990 - Species richness and population dynamics of animal assemblages. Patterns in body size: abundance space - Phil. Trans. R. Soc. Lond. B 330: 283-291.
Leibold M. A. 1998 - Similarity and local co-existence of species in regional biotas - Evol. Ecol. 12: 95-110.
MacArthur R. H., Wilson E. O. 1967 - The theory of island biogeography - Princeton Univ. Press, 203 pp.
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.
Moravec J. 1973 - The determination of minimal area of phytocoenoses - Folia Geobot. Phytotax. 8: 23-47.
Pielou E. C. 1977 - Mathematical Ecology - John Wiley & Sons, New York, 385 pp.
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, 435 pp.
Shorrocks B., Sevenster J. G. 1995 - Explaining local species diversity - Proc. R. Soc. Lond. B 260: 305-309.
Sprugel D. G. 1983 - Correcting for bias in log-transformed allometric equations - Ecology, 64: 209-210.
Srivastava D. E. 1999 - Using local-regional richness plots to test for species saturation: pitfalls and potentials - J. Anim. Ecol. 68: 1-16.
Sugihara G. 1980 - Minimal community structure: an explanation of species abundance patterns - Am. Nat. 116: 770-787.
Sugihara G. 1981 - S = CAz, z ≈ 1/4; a reply to Connor and McCoy - Am. Nat. 117: 790-793.
Ulrich W. 1999a - 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 1999b - Estimating species numbers by extrapolation I: comparing the performance of various estimators using large model communities - Pol. J. Ecol. 47: 271-291.
Ulrich W. 2000a - On species-area relationships II: slope and factor values of power function and exponential model - Pol. J. Ecol. 48: 21-35
Ulrich W. 2000b - On species-area relationships I: fit of power function and exponential model - Pol. J. Ecol. 48: 3-20
Westoby M. 1993 - Biodiversity in Australia compared with other continents (In: Species Diversity in Ecological Communities, Eds. R. E. Ricklefs, D. Schluter) - Chicago, Univ. Press, pp. 170-177.
White J. F., Gould S. J. 1965 - Interpretation of the coefficient in the allometric equation - Am. Nat. 99: 5-18.
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:

37

End page:

48

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.

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