Environmental and Resource Economics

, Volume 9, Issue 4, pp 409–427 | Cite as

A computationally convenient diversity measure: Theory and application

  • Hayri Önal


This paper introduces a computationally convenient measure of structural diversity based on absolute deviations between relative shares of individual groups forming a community. A conceptual framework is developed, some theoretical properties of the measure are derived, and its close relation to the Shannon index, a widely used diversity measure, is explored. The paper also presents an empirical application involving this measure where optimum harvesting strategies are determined under diversity constraints, and investigates the trade off between economic and environmental objectives for a mixed forest in Indonesia.

Key words

structural diversity optimization resource management 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Ambuel, B. and S. A. Temple (1983), ‘Area Dependent Changes in the Bird Communities and Vegetation of Southern Wisconsin Forest’,Ecology 64, 1057–1068.CrossRefGoogle Scholar
  2. Buongiorno, J., S. Dahir, H. C. Lu and C. R. Lin (1994), ‘Tree Size Diversity and Economic Returns in Uneven-Aged Forest Stands’Forest Science 40, 83–103.Google Scholar
  3. Buongiorno, J., J. L. Peyron, F. Houllier and M. Bruciamacchie (1995), ‘Growth and Management of Mixed-Species, Uneven-Aged Forests in the French Jura: Implications for Economic Returns and Tree Diversity’,Forest Science 41, 397–429.Google Scholar
  4. Brook, A., D. Kendrick and A. Meeraus (1992),GAMS: A User's Guide (Release 2.25). San Francisco, CA: The Scientific Press.Google Scholar
  5. Hillier, F. S. and G. J. Lieberman (1986),Introduction to Operations Research, Fourth Edition. New York, NY: McGraw-Hill.Google Scholar
  6. Hunter, M. L., Jr. (1990),Wildlife, Forests, and Forestry: Principles of Managing Forests for Biodiversity. Englewood Cliffs, NJ: Prentice-Hall.Google Scholar
  7. Kangas, J. and J. Kuusipalo (1993), ‘Integrating Biodiversity into Forest Management and Decision Making’,Forest Ecology and Management 61, 1–15.CrossRefGoogle Scholar
  8. MacArthur, R. H. and J. W. MacArthur (1961), ‘On Bird Species Diversity’,Ecology,42, 594–600.CrossRefGoogle Scholar
  9. Magurran, A. E. (1988),Ecological Diversity and Its Measurement. Princeton, NJ: Princeton University Press.Google Scholar
  10. McNeely, J. A., K. R. Miller, W. V. Reed, R. A. Mittermeier and T. B. Werner (1990),Conversing the World's Biological Diversity. Washington, D.C.: World Resources Institute.Google Scholar
  11. Mendoza, G. A. and A. Setyarso (1986), ‘A Transition Matrix Forest Growth Model for Evaluation of Alternative Harvesting Schemes in Indonesia’,Forest Ecology and Management 15, 219–228.CrossRefGoogle Scholar
  12. Mittermeier, R. A. (1988), ‘Primate Diversity and the Tropical Forest’, in E. Wilson, ed.,Biodiversity. Washington, D.C.: National Academy Press.Google Scholar
  13. Niese, J. N. and T. F. Strong (1992), ‘Economic and Tree Diversity Trade-Offs in Managed Northern Hardwoods’,Canadian J. Forestry Resources 22, 1807–1813.Google Scholar
  14. Önal, H. (1995), ‘Tree Size Diversity and Economic Returns in Uneven-Aged Forest Stands: Comment’,Forest Science 41, 908–912.Google Scholar
  15. Pielou, E. C. (1975),Ecological Diversity. New York: Wiley.Google Scholar
  16. Perrings, D., K. G. Mäler, C. Folke, C. S. Holling and B. O. Jansson (1995), ‘Introduction: Framing the Problem of Biodiversity Loss’, in Perrings et al., eds.,Biodiversity Loss. Cambridge University Press, pp. 1–17.Google Scholar
  17. Sianturi, A. (1990), ‘An Optimal Harvesting Model to Evaluate the Indonesian Selective Cutting System for Secondary Dipterocarp Forests’, Unpublished Ph.D. dissertation, University of Washington, Seattle.Google Scholar
  18. Solow, A., S. Polasky and J. Broadus (1993), ‘On the Measurement of Biological Diversity’,Journal of Environmental Economics and Management 24, 60–68.CrossRefGoogle Scholar
  19. Weitzman, L. M. (1992), ‘On Diversity’,Quarterly Journal of Economics 107, 363–406.CrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • Hayri Önal
    • 1
  1. 1.Department of Agricultural and Consumer EconomicsThe University of Illinois at Urbana-ChampaignUSA

Personalised recommendations