Biodiversity and Conservation

, Volume 24, Issue 8, pp 2093–2097 | Cite as

Morisita’s prosperity index revisited

  • Yoshitake Takada


In order to develop a composite measure of community species diversity and abundance, a generalization of Morisita’s prosperity index is proposed. Using Hill’s diversity representation, the prosperity index is a product of the total number of individuals and the effective number of species in a community. A series of prosperity indices can be derived using a parameter (Hill’s number). As an analogy of component partitions of species diversity, regional, within, and between components are also defined. The prosperity index will be useful for practical aspects related to conservation and management.


Diversity Community Abundance Effective number of species Partition 



The author is grateful to M Uchida and N Tezuka for their valuable discussions. Comments of S Abe improved the manuscript. This work was partly supported by a biodiversity Project of the Fisheries Agency Japan.


  1. Gotelli NJ, Colwell RK (2011) Estimating species richness. In: Magurran AE, McGill BJ (eds) Biological diversity: Frontiers in measurement and assessment. Oxford University Press, Oxford, pp 39–54Google Scholar
  2. Hill MO (1973) Diversity and evenness: a unifying notation and its consequences. Ecology 54:427–432CrossRefGoogle Scholar
  3. Jost L (2007) Partitioning diversity into independent alpha and beta components. Ecology 88:2427–2439PubMedCrossRefGoogle Scholar
  4. Maurer BA, McGill BJ (2011) Measurement of species diversity. In: Magurran AE, McGill BJ (eds) Biological diversity: Frontiers in measurement and assessment. Oxford University Press, Oxford, pp 55–65Google Scholar
  5. Millennium Ecosystem Assessment (2005) Ecosystem and human well-being: synthesis. Island Press, Washington DCGoogle Scholar
  6. Morisita M (1967) Seasonal distribution of butterflies in the suburbs of Kyoto. In: Morisita M, Kira T (eds) Nature, ecological study. Chuokoronsha, Tokyo, pp 95–132Google Scholar
  7. Muko S, Iwasa Y (2011) Optimal choice of species and size class for transplanting coral community. J Theor Biol 273:130–137PubMedCrossRefGoogle Scholar
  8. Pielou EC (1966) The measurement of diversity in different types of biological collections. J Theor Biol 13:131–144CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.Japan Sea National Fisheries Research InstituteFisheries Research AgencyNiigataJapan

Personalised recommendations