Abstract
It is an essential property of diversity indices that increases in the abundance or frequency of the most frequent species result in a decline in diversity, whereas increases in the abundance of the rarest species lead to an increase in diversity. At the same time, without resort to mathematical operations, it is difficult to determine the sign and measure of alteration in diversity when increasing an additional frequency while leaving all others unaltered. A more concrete task is to determine the index response to a partial alteration of fixed percentage in the frequencies of the multi-species community or collection. Plotting the observed responses or sensitivity values against the frequencies concerned makes possible a good overview of the sensitivity relations. The mathematical groundwork of sensitivity analysis with respect to diversity indices has already been elaborated. To date, however, the methodological possibilities engendered by such analyses have yet to be exploited.
In the present work, sensitivity relations are discussed for apple-bait Drosophilidae collections and human faeces trap collections of flies inhabiting brook valleys in the low mountains of Hungary. Inspection of the results enables us to identify the range of frequencies at which significant increases or decreases in diversity will result. A relatively small increase of so-called nearly indifferent or quasineutral frequencies lying within that frequency range has a trivial influence on diversity values. While sensitivity is astonishingly sizeable with a few dominant case numbers, all other frequencies scarcely influence the index value.
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Boyle, T.P., G. M. Stnillie, J. C. Anderson and D. R. Beeson. 1990. A sensitivity analysis of nine diversity and seven similarity indices. Research Journal Water Pollution Control Federation 62:749–762.
Clark, M.J.R. 1992. Enhancement of the Pielou method for estimating the diversity of aquatic communities. Environmental Toxicology and Chemistry 11:1559–1565.
Hill, M.O. 1973. Diversity and evenness: a unifying notation and its consequences. Ecology 54:427–432.
Izsák, J. 1991. New aspects of sensitivity investigations on diversity indices. A case study. Biometrie unci Informatik in Medizin und Biologie 22:107–115.
Izsák, J. 1992. Sensitivity studies on Hurlbert’s indices of diversity. Biométrie – Praximétrie 32:101–114.
Izsák, J. 1996. Sensitivity profiles of diversity indices. Biometrical J. 38:921–930.
Izsák, J. 1998. DIVERSI 1.1: A program for diversity calculations. Abstr. Bot. 22:157–160.
Izsák, J. and P. Juhász-Nagy. 1984. Studies of diversity indices on mortality statistics. Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae, Sectio Biologica 24–26:11–27.
Izsák, J. and L. Papp. 1994. Numerical properties of jackknifed diversity indices tested on loose sets of coenological samples (Diptera, Drosophilidae). Coenoses 9:59–61.
Kempton, R.A. 1979. The structure of species abundance and measurement of diversity. Biometrics 35:307–321.
Kempton, R.A. and R.W.M. Wedderburn. 1978. A comparison of three measures of species diversity. Biometrics 34:25–37.
Magurran, A.E. 1988. Ecological Diversity and Its Measurement. Croom Helm Ltd., London
Papp, L. 1992. Drosophilid assemblages in mountain creek valleys in Hungary (Diptera: Drosophilidae) I. Folia Entomologica Hungarica 53:139–153.
Papp, L. 1993a. Flies (Diptera) visiting human faeces in mountain creek valleys in Hungary. Parasitología Hungarica 25:85–96.
Papp, L. 1993b. On the Abundance of Flying Insects (The Theory of Capturing Flies). (in Hungarian) Akadémiai Kiadó, Budapest, 46 pp.
Patil, G.P. and C. Taillie 1982. Diversity as a concept and its measurement. J. Amer. Stat. Assoc. 77:548–561.
Peet, R.K. 1974. The measurement of species diversity. Ann. Rev. Ecol. Syst. 5:285–307.
Pielou, E.C. 1979. A quick method of determining the diversity of foraminiferal assemblages. J. Paleontol. 53:1237–1242.
Schmid, F. 1991. Zur Sensitivitat von Disparitätsmassen. Allgemeine Statistisches Archiv 75:155–167.
Smith, W. and Grassle, J.F. 1977. Sampling properties of a family of diversity measures. Biometrics 33:283–292.
Taillie, C. and G. P. Patil. 1979. Diversity, entropy, and Hardy-Weinberg equilibrium. In: I. F. Grassle, G. P. Patil, W. Smith and C. Taillie (eds.), Ecological Diversity in Theory and Practice, Internatl. Coop. Publ. House, Burtonsville, MD, pp. 63–72.
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Izsák, J., Papp, L. Sensitivity of diversity indices: a study of dipterous assemblages. COMMUNITY ECOLOGY 3, 79–86 (2002). https://doi.org/10.1556/ComEc.3.2002.1.9
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DOI: https://doi.org/10.1556/ComEc.3.2002.1.9