The relationship between diversity profiles, evenness and species richness based on partial ordering

Environmental and Ecological Statistics

Volumn 6, Issue 2, 1999, Pages 211-223

  Rousseau, Ronald ^a,b   Van Hecke, Piet ^a   Nijssen, David ^c   Bogaert, Jan ^a  

^a UNIVERSITY OF ANTWERP   (Belgium)

^b Katholieke Hogeschool Brugge Oostende   (Belgium)

^c NONE   (Belgium)

Author keywords

Adapted Gini coefficient; Coefficient of variation; Gini coefficient; Intrinsic diversity profiles; K dominance curves; Partially ordered sets

Indexed keywords

SPECIES DIVERSITY; SPECIES EVENNESS; SPECIES RICHNESS;

EID: 0032693747     PISSN: 13528505     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009626406418     Document Type: Article

References (21)

1. Dalton, H. (1920) The measurement of the inequality of incomes. The Economic Journal, 30, 348-61.
2. Gove, J.H., Patil, G.P., Swindel, B.F., and Taillie, C. (1994) Ecological diversity and forest management. In Handbook of Statistics Volume 12: Environmental Statistics, G.P. Patil and C.R. Rao (eds.), Elsevier, Amsterdam, pp. 409-62.
3. Hill, M.O. (1973) Diversity and evenness: a unifying notation and its consequences. Ecology, 54, 427-32.
4. Hurlbert, S.H. (1971) The nonconcept of species diversity: a critique and alternative parameters. Ecology, 52, 577-86.
5. Lambshead, P.J.D., Platt, H.M., and Shaw, K.M. (1981) Detection of differences among assemblages of benthic species based on an assessment of dominance and diversity. Journal of Natural History (London), 17, 859-74.
6. Lorenz, M.O. (1905) Methods of measuring concentration of wealth. Journal of the American Statistical Association, 9, 209-19.
7. Magurran, A.E. (1991) Ecological diversity and its measurement, Chapman & Hall, London, England.
8. Nijssen, D., Rousseau, R., and Van Hecke, P. (1998) The Lorenz curve: a graphical representation of evenness. Coenoses, 13, 33-8.
9. Patil, G.P. and Taillie, C. (1979) An overview of diversity. In Ecological Diversity in Theory and Practice, J.F. Grassle, G.P. Patil, W. Smith and C. Taillie (eds), International Co-operative Publishing House, Fairland, MD, pp. 3-27.
10. Patil, G.P. and Taillie, C. (1982) Diversity as a concept and its measurement. Journal of the American Statistical Association, 77, 548-67.
11. Peet, R.K. (1974) The measurement of species diversity. Annual Review of Ecology and Systematics, 5, 285-307.
12. Peet, R.K. (1975) Relative diversity indices. Ecology, 56, 496-8.
13. Pielou, E.C. (1975) Ecological diversity, John Wiley & Sons, New York.
14. Platt, H.M., Shaw, K.M., and Lambshead, P.J.D. (1984) Nematode species abundance patterns and their use in the detection of environmental perturbations. Hydrologia, 119, 59-66.
15. Roberts, F. (1979) Measurement theory, Addison-Wesley, Reading, MA.
16. Rousseau, R. (1992a) Concentration and diversity in informetric research. Ph.D. thesis, Universitaire Instelling Antwerpen.
17. Rousseau, R. (1992b) Concentration and diversity measures: dependence on the number of classes. Belgian Journal of Operations Research, Statistics and Computer Science, 32, 99-126.
18. Rousseau, R. and Van Hecke, P. (1998) Measuring biodiversity. Acta Biotheoretica (accepted).
19. Shorrocks, A.F. (1983) Ranking income distributions. Economica, 50, 3-17.
20. Swindel, B.F., Conde, L.F., and Smith, J.E. (1987) Index-free diversity orderings: concept, measurement, and observed response to clearcutting and site-preparation. Forest Ecology and Management, 20, 195-208.
21. Taillie, C. (1979) Species equitability: a comparative approach. In Ecological Diversity in Theory and Practice, J.F. Grassle, G.P. Patil, W. Smith and C. Taillie (eds). International Co-operative Publishing House, Fairland, MD, pp. 51-62.