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Ecological Methods in Ethnobotanical and Ethnobiological Research: Using Diversity Measurements and Richness Estimators

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Methods and Techniques in Ethnobiology and Ethnoecology

Abstract

This chapter discusses the application of diversity measures for ethnobiological and ethnobotanical data sets. Diversity measures are based on the assessment of the heterogeneity of information, with two main components: richness and abundance. In ecological studies, this information is usually equivalent to heterogeneity in the distribution of individuals of different species in a given area. In studies in which we are dealing with local knowledge about species—i.e., vernacular names, ethnogenera or ethnospecies—information often corresponds to the quotations from each respondent about the perceived items. In ethnobiological research these analyses allow us to broaden the discussions on the evaluation of sampling effort; on the comparability between data sets obtained from different regions; on the objective analysis of the distribution of knowledge within a given human group; and on the possibility of integration ethnobiological data with ecological and biological information.

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Appendix 1: Formulas for Species Richness Estimators (Adapted from [32, 41])

Appendix 1: Formulas for Species Richness Estimators (Adapted from [32, 41])

Estimators

Jack 1: S jack 1 = S obs + Q 1(m − 1)/m

Jack 2: S jack 2 = S obs + {[Q 1(2 m − 3)/m] − [Q 2(m − 2)2/m(m − 1)]}

Chao 1: S chao 1 = S obs + F 21 /2F 2

Chao 2a: S chao 2 = S obs + Q 21 /2Q 2

ACE: S ace = S abund + (S raro/C ace) + (F 1/C ace)ϒ 2ace

ICE: S ice = S freq + (S infreq/C ice) + (Q 1/C ice)ϒ 2ice

Bootstrap: \( {S}_{boot}={S}_{obs}+{\displaystyle \sum}_{K=1}^{S_{obs}}{\left(1-{p}_k\right)}^m \)

 Where

S obs: total number of species observed in a set of samples

S abund: number of abundant species (with more than ten individuals)

S raro: number of rare species (with ten or less individuals)

S freq: number of most frequent species (present in more than ten samples)

S infreq: number of less frequent species (present in ten or less samples)

m: total number of samples

Q 1: number of “singletons” (species represented by exactly one individual)

Q 2: number of “doubletons” (species represented by exactly two individuals)

F 1: number of “uniques” (species present only in one sample)

F 2: number of “duplicates” (species present in exactly two samples)

C ace: abundance-based coverage estimator

C ice: incidence-based coverage estimator

p k : proportion of samples that count species k

 ϒ 2ace : estimation of variation coefficient F 1 for rare species

 ϒ 2ice : estimation of variation coefficient Q 1 for less frequent species

  1. aThere are special cases which may be consulted: http://viceroy.eeb.uconn.edu/EstimateS/EstimateSPages/EstSUsersGuide/EstimateSUsersGuide.htm#AppendixA

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Peroni, N., Araujo, H.F.P., Hanazaki, N. (2014). Ecological Methods in Ethnobotanical and Ethnobiological Research: Using Diversity Measurements and Richness Estimators. In: Albuquerque, U., Cruz da Cunha, L., de Lucena, R., Alves, R. (eds) Methods and Techniques in Ethnobiology and Ethnoecology. Springer Protocols Handbooks. Humana Press, New York, NY. https://doi.org/10.1007/978-1-4614-8636-7_25

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  • DOI: https://doi.org/10.1007/978-1-4614-8636-7_25

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