Conditional and weighted measures of ecological diversity

International Journal of Uncertainty, Fuzziness and Knowldege-Based Systems

Volumn 11, Issue 3, 2003, Pages 283-300

  Guiaşu, Radu Cornel ^a   Guiaşu, Silviu ^b  

^a UNIVERSITY OF TORONTO   (Canada)

^b YORK UNIVERSITY   (Canada)

Author keywords

Conditional Simpson index; Diversity of species of crayfish; Interdependence among species; Weighted Shannon entropy; Weighted Simpson index of diversity

Indexed keywords

BIODIVERSITY; CONSERVATION; ECOLOGY; ECONOMICS; ECOSYSTEMS; LAGRANGE MULTIPLIERS; STATISTICS;

CONDITIONAL SIMPSON INDEX; DIVERSITY OF SPECIES OF CRAYFISH; ECOLOGICAL DIVERSITY; INTERDEPENDENCE AMONG SPECIES; WEIGHTED SHANNON ENTROPY; WEIGHTED SIMPSON INDEX OF DIVERSITY;

PROBABILITY DISTRIBUTIONS;

EID: 0042158429     PISSN: 02184885     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218488503002089     Document Type: Article

References (27)

1. J. L. Harper and D. L. Hawksworth, "Biodiversity: measurement and estimation, Preface", Philosophical Transactions: Biological Sciences, London 345 (1994) 5-12.
2. R. Margalef, Ecologia (Ediciones Omega, Barcelona, 1974).
3. L. Legendre and P. Legendre, Numerical Ecology (Elsevier, Amsterdam, The Netherlands, 1983).
4. N. G. Hairston, J. D. Allan, R. K. Colwell, D. J. Futuyma, J. Howell, M. D. Lubin, J. Mathias, and J. H. Vandermeer, "The relationship between species diversity and stability: an experimental approach with protozoa and bacteria", Ecology 49 (1968) 1091-1101.
5. S. Magnussen and T. J. B. Boyle, "Estimating sample size for inference about the Shannon-Weaver and the Simpson indices of species diversity", Forest Ecology and Management 78 (1995) 71-84.
6. C. J. Krebs, Ecology: The Experimental Analysis of Distribution and Abundance (5th edition) (Benjamin Cummings, San Francisco, 2001).
7. G. Stirling and B. Wilsey, "Empirical relationships between species richness, evenness, and proportional diversity", Amer. Nat. 158 (2001) 286-299.
8. E. J. Tramer, "Bird species diversity: components of Shannon's formula", Ecology 50 (1969) 927-929.
9. C. E. Shannon, "A mathematical theory of communication", Bell Syst. Tech. J. 27 (1948) 379-423, 623-656.
10. E. C. Pielou, "Shannon's formula as a measure of specific diversity: its use and misuse", Amer. Nat. 100 (1966) 463-465.
11. E. C. Pielou, "Species-diversity and pattern-diversity in the study of ecological succession", J. Theor. Biology 10 (1966) 370-383.
12. E. H. Simpson, "Measurement of diversity", Nature 163 (1949) 688.
13. B. Oertli, D. Auderset Joye, E. Castella, R. Juge, D. Cambin, and J.-B. Lachavanne, "Does pond size matter? The relationship between pond area and biodiversity", Biol. Conserv. 104 (2002) 59-70.
14. C. Gini, "Variabilita e mutabilità", Studi Economico-Giuridici della Facolta di Giurisprudenza dell'Università di Cagliari, a.III, parte II (1912).
15. L. Boltzmann, Vorlesungen über Gastheorie (J.A. Barth, Leipzig, 1896).
16. W. Lampert and U. Sommer, Limnoecology: The Ecology of Lakes and Streams (Oxford University Press, Oxford, 1997).
17. O. Onicescu, "Energia informaţionalã", Studii şi Cercetãri Matematice 18 (1966) 1419-1420.
18. S. Watanabe, Knowing and Guessing (Wiley, New York, 1969).
19. M. Beliş and S. Guiaşu, "A quantitative-qualitative measure of information in cybernetic systems", IEEE Trans. Inf. Th. IT-14 (1968) 593-594.
20. S. Guiaşu, "Weighted entropy", Reports on Math. Phys. 2 (1971) 165-179.
21. S. Guiaşu, Information Theory with Applications (McGraw-Hill, New York, 1977).
22. E. W. Fager, "Diversity: a sampling study", Amer. Nat. 106 (1972) 293-310.
23. A. E. Magurran, Ecological Diversity and Its Measurement (Princeton University Press, Princeton, New Jersey, 1988).
24. R. C. Guiaşu, "Cambarus", in Biology of Freshwater Crayfish, ed. D.M. Holdich (Blackwell Science, Oxford, England, 2002) pp. 609-634.
25. S. M. David, K. M. Somers, R. A. Reid, and R. J. Ingram, Crayfish species assemblages in softwater lakes in seven tertiary watersheds in South-Central Ontario (Report) (Ministry of Environment and Energy, Dorset, Ontario, 1997).
26. R. C. Guiaşu, D. W. Dunham and D. W. Barr, "Interspecific agonistic contests between male Cambarus bartonii bartonii (Fabricius 1798) and Cambarus robustus Girard 1852 (Decapoda, Cambaridae) crayfish and the possible competition between the two species in Ontario", Freshwater Crayfish 11 (1996) 364-377.
27. R. C. Guiaşu and D. W. Dunham, "Aggression and competition in the surface water Cambarus (Decapoda, Cambaridae) crayfish species of Ontario, Canada: an overview", in Crustaceans and the Biodiversity Crisis: Proceedings of the Fourth International Crustacean Congress, Amsterdam, The Netherlands, eds. F. R. Schram and J. C. von Vaupel Klein (Vol. 1, Brill Academic Publishers, Leiden, The Netherlands, 1999). pp. 701-717.