Abstract
Community diversity has been studied extensively in relation to its effects on ecosystem functioning. Testing the consequences of diversity on ecosystem processes will require measures to be available based on a rigorous conceptualization of their very meaning. In the last decades, literally dozens of measures of diversity have been proposed. However, rather than using unrelated metrics, we need to identify their separate components so that possible links between them and ecosystem functioning can be examined using an agreed-upon language. In this paper, first, a short overview on new and old measures of community diversity is presented. Next, I propose a general framework in which most of the existing measures of diversity are sorted into four interrelated semantic classes: richness, abundance-weighted diversity, evenness and divergence. In this view, this paper constitutes an attempt to organize the very large number of existing diversity measures avoiding ambiguities in the meaning of the different facets of community diversity.
Similar content being viewed by others
References
Alatalo RV (1981) Problems in the measurement of evenness in ecology. Oikos 37:199–204
Barker GM (2002) Phylogenetic diversity: a quantitative framework for measurement of priority and␣achievement in biodiversity conservation. Biol J Linn Soc 76:165–194
Basak SC, Balaban AT, Grunwald GD, Gute BD (2000) Topological indices: their nature and mutual relatedness. J Chem Inf Compu Sci 40:891–898
Champely S, Chessel D (2002) Measuring biological diversity using Euclidean metrics. Environ Ecol Stat 9:167–177
Clarke KR, Warwick RM (1998) A taxonomic distinctness index and its statistical properties. J Appl Ecol 35:523–531
Crozier RH (1992) Genetic diversity and the agony of choice. Biol Conserv 61:11–15
Faith DP (1992) Conservation evaluation and phylogenic diversity. Biol Conserv 61:1–10
Fargione JE, Tilman D (2005) Diversity decreases invasion via both sampling and complementarity effects. Ecol Lett 8:604–611
Fonseca CR, Ganade G (2001) Species functional redundancy, random exinctions and the stability of␣ecosystems. J Ecol 89:118–125
Fridley JD, Brown RL, Bruno JF (2004) Null models of exotic invasion and scale-dependent patterns of␣native and exotic species richness. Ecology 85:3215–3222
Hector A, Schmid B, Beierkuhnlein C, Caldeira MC, Diemer M, Dimitrakopoulos PG, Finn JA, Freitas H, Giller PS, Good J, Harris R, Högberg P, Huss-Danell K, Joshi J, Jumpponen A, Körner C, Leadley PW, Loreau M, Minns A, Mulder CPH, O’Donovan G, Otway SJ, Pereira JS, Prinz A, Read DJ, Scherer-Lorenzen M, Schulze ED, Siamantziouras AS, Spehn EM, Terry AC, Troumbis AY, Woodward FI, Yachi S, Lawton JH (1999) Plant diversity and productivity experiments in European grasslands. Science 286:1123–1127
Hendrickson JA Jr, Ehrlich PR (1971) An expanded concept of “species diversity” Notulae Naturae of the Academy of Natural Sciences of Philadelphia 439:1–6
Hooper D, Vitousek PM (1997) The effects of plant composition and diversity on ecosystem processes. Science 277:1302–1305
Hurlbert SH (1971) The nonconcept of species diversity: a critique and alternative parameters. Ecology 52:577–586
Huston MA (1994) Biological diversity: the coexistence of species on changing landscapes. Cambridge University Press, Cambridge
Gregorius HR (1990) A diversity-independent measure of evenness. Am Nat 136:701–711
Izsak J, Papp L (1995) Application of the quadratic entropy index for diversity studies on drosophilid species assemblages. Environ Ecol Stat 2:213–224
Izsak J, Papp L (2000) A link between ecological diversity indices and measures of biodiversity. Ecol Modell 130:151–156
Juhasz-Nagy P (1993) Notes on compositional diversity. Hydrobiologia 249:173–182
Juhasz-Nagy P, Podani J (1983) Information theory methods for the study of spatial processes and succession. Vegetatio 51:129–140
Kvålseth TO (1991) Note on biological diversity, evenness, and homogeneity measures. Oikos 62:123–127
Legendre P, Borcard D, Peres-Neto PR (2005) Analyzing beta diversity: partitioning the spatial variation of community composition data. Ecol Monogr 75:435–450
Lloyd M, Ghelardi RJ (1964) A table for calculating the “equitability” component of species diversity. J␣Anim Ecol 33:217–225
Mason NVH, Mouillot D, Lee WG, Wilson JB (2005) Functional richness, functional evenness and functional divergence: the primary components of functional diversity. Oikos 111:112–118
McCann KS (2000) The diversity-stability debate. Nature 405:228–233
Mouillot D, Mason NWH, Dumay O, Wilson JB (2005) Functional regularity: a neglected aspect of functional diversity. Oecologia 142:353–359
Naeem S, Wright JP (2003) Disentangling biodiversity effects on ecosystem functioning: deriving solutions to a seemingly insurmountable problem. Ecol Lett 6:567–579
Naeem S, Chapin T, Costanza R, Ehrlich P, Golley D, Hooper FB, Lawton JH, O’Neil R, Mooney H, Sala O, Symstad A, Tilman D (1999) Biodiversity and ecosystem functioning. Ecological issues, No. 4. Ecological Society of America, Washington, DC
Pavoine S, Ollier S, Dufour AB (2005a) Is the originality of a species measurable? Ecol Lett 8:579–586
Pavoine S, Ollier S, Pontier D (2005b) Measuring diversity from dissimilarities with Rao’s quadratic entropy: Are any dissimilarities suitable? Theor Popul Biol 67:231–239
Péllissier , R, Couteron P, Dray S, D Sabatier (2003) Consistency between ordination techniques and diversity measurements: two strategies for species occurrence data. Ecology 84:242–251
Petchey OL, Gaston KJ (2002) Functional diversity (FD), species richness and community composition. Ecol Lett 5:402–411
Petchey OL, Gaston KJ (2006) Functional diversity: back to basics and looking forward. Ecol Lett 9:741–758
Pielou EC (1975) Ecological diversity. Wiley, New-York
Podani J (2000) Introduction to the exploration of multivariate biological data. Backhuys Publishers, Leiden, NL
Podani J, Csontos P, Tamás J, Miklós I (2005) A new multivariate approach to studying temporal changes of vegetation. Plant Ecology 181:1–16
Poole RW (1974) An introduction to quantitative ecology. McGraw-Hill, New York
Rao CR (1982) Diversity and dissimilarity coefficients: a unified approach. Theor Popul Biol 21:24–43
Ricotta C (2002) Bridging the gap between ecological diversity indices and measures of biodiversity with Shannon’s entropy: comment to Izsak and Papp. Ecol Modell 152:1–3
Ricotta C (2003) On parametric evenness measures. J Theor Biol 222:189–197
Ricotta C (2004) A parametric diversity measure combining the relative abundances and taxonomic distinctiveness of species. Divers Distrib 10:143–146
Ricotta C (2005a) Through the jungle of biological diversity. Acta Biotheor 53:29–38
Ricotta C (2005b) A note on functional diversity measures. Basic Appl Ecol 6:479–486
Ricotta C, Avena GC (2005) A ‘fast-food approach’ to the standardisation of quadratic diversity. Plant Biosyst 139:411–413
Ricotta C, Szeidl L (2006) Towards a unifying approach to diversity measures: bridging the gap between the Shannon entropy and Rao’s quadratic index. Theor Popul Biol 70:237-43
Ricotta C, De Zuliani E, Pacini A, Avena GC (2001) On the mutual relatedness of evenness measures. Community Ecol 2:51–56
Sarkar S, Margules C (2002) Operationalizing biodiversity for conservation planning. J Biosci 27(S2):299–308
Shimatani K (2001) On the measurement of species diversity incorporating species differences. Oikos 93:135–147
Smith B, Wilson JB (1996) A consumer’s guide to evenness indices. Oikos 76:70–82
Solow AR, Polasky S (1994) Measuring biological diversity. Environ Ecol Stat 1:95–107
Stohlgren TJ, Binkley D, Chong GW, Kalkhan MA, Schell LD, Bull KA, Otsuki Y, Newman G, Bashkin M, Son Y (1999) Exotic plant species invade hot spots of native plant diversity. Ecol Monogr 69:25–46
Taillie, C (1979) Species equitability: a comparative approach. In: Grassle JF, Patil GP, Smith WK, Taillie C (eds) Ecological diversity in theory and practice. International Cooperative Publishing House, Fairland, MD, pp 51–62
Ter Braak CF (1983) Principal components biplots and alpha and beta diversity. Ecology 64:454–462
Tilman D, Wedin D, Knops J (1996) Productivity and sustainability influenced by biodiversity in grassland ecosystems. Nature 379:718–720
Vane-Wright RI, Humphries CJ, Williams PM (1991) What to protect: systematics and the agony of choice. Biol Conserv 55:235–254
Walker B, Kinzig AP, Langridge J (1999) Plant attribute diversity, resilience, and ecosystem function: the nature and significance of dominant and minor species. Ecosystems 2:95–113
Warwick RM, Clarke KR (1995) New ‘biodiversity’ measures reveal a decrease in taxonomic distinctness with increasing stress. Mar Ecol Progr Ser 129:301–305
Webb CO (2000) Exploring the phylogenetic structure of ecological communities: an example for rain forest trees. Am Nat 156:145–155
Wehenkel C, Bergmann F, Gregorius HR (2006) Is there a trade-off between species diversity and genetic diversity in forest tree communities? Plant Ecol 185:151–161
Whittaker RH (1965) Dominance and diversity in land plant communities. Science 147:250–260
Acknowledgements
Unfortunately, this paper is not aimed at providing guidance on which index to use for testing different aspects of the diversity/ecosystem functioning relationships. So, I would like to thank the anonimous referee that appreciated the primary objective of this paper without asking that something be said about a more field-oriented approach to diversity measures.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ricotta, C. A semantic taxonomy for diversity measures. Acta Biotheor 55, 23–33 (2007). https://doi.org/10.1007/s10441-007-9008-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10441-007-9008-7