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The coverage of a random sample from a biological community.

S Engen

    Biometrics
    |March 1, 1975
    PubMed
    Summary

    Discovering rare species in ecological samples is challenging due to their low abundance. This study proposes new quantitative measures for sample coverage and statistical inference, improving ecological diversity assessments.

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    Area of Science:

    • Ecology
    • Taxonomy
    • Biodiversity Science

    Background:

    • Taxonomic groups often contain numerous species with low individual abundances.
    • Random sampling frequently results in a significant proportion of species remaining undiscovered.
    • Assessing the true diversity of a community is hindered by incomplete species detection.

    Purpose of the Study:

    • To propose a general definition for quantitative measures of sample coverage.
    • To address the statistical inference problem concerning species discovered in samples.
    • To analyze the relative abundance and diversity contribution of sampled species.

    Main Methods:

    • Development of a generalized definition for sample coverage.
    • Statistical inference for two specific cases: total relative abundance and contribution to the information index of diversity.
    • Utilizing an extended negative binomial species frequency model for analysis.

    Main Results:

    • A framework for quantifying sample coverage in taxonomic surveys.
    • Tabulated results providing insights into species discovery probabilities.
    • Quantification of the uncertainty in estimating species' relative abundance and diversity contributions.

    Conclusions:

    • The proposed measures enhance the understanding of sample completeness in ecological studies.
    • The methodology provides a robust approach for statistical inference in biodiversity assessments.
    • This work offers valuable tools for researchers dealing with species-rich, low-abundance datasets.

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