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Published in: Biodiversity and Conservation 6/2018

20-01-2018 | Original Paper

Measuring the representativeness of a germplasm collection

Author: Carlos Hernandez-Suarez

Published in: Biodiversity and Conservation | Issue 6/2018

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Abstract

Many germplasm collections aim to preserve most of the genetic diversity present in a population so that the population could be regenerated, which provides genetic resources to ensure food security. This paper proposes a way to measure how well a germplasm collection achieve this goal. In the most common scenario, one has little information regarding the number and statistical distribution of alleles at every locus, and it is thus very difficult to measure the representativeness of the accession. Here, we show how to use samples of allelic diversity at a sample of loci to estimate the representativeness of an accession based on the coverage of a sample with point and interval estimates. Our approach avoids making unrealistic assumptions regarding the number of loci, the bounds for the number of alleles or their frequency distributions. Depending on the sampling scheme of a collection, we differentiate between absolute or relative coverage. Here, we demonstrate this methodology using data from the germplasm collection at the Leibniz Institute of Plant Genetics and Crop Plant Research.

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Appendix
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Literature
go back to reference Brown AHD (1995) The core collection at the crossroads. In: Hodgkin T, Brown AHD, van Hintum TJL, Morales EAV (eds) Core collections of plant genetic resources. Wiley, Chichester, pp 3–19 Brown AHD (1995) The core collection at the crossroads. In: Hodgkin T, Brown AHD, van Hintum TJL, Morales EAV (eds) Core collections of plant genetic resources. Wiley, Chichester, pp 3–19
go back to reference Chao A (1981) On estimating the probability of discovering a new species. Ann Stat 9(6):1339–1342CrossRef Chao A (1981) On estimating the probability of discovering a new species. Ann Stat 9(6):1339–1342CrossRef
go back to reference Chao A, Lee SM (1992) Estimating the number of classes via sample coverage. J Am Stat Assoc 87(417):210–217CrossRef Chao A, Lee SM (1992) Estimating the number of classes via sample coverage. J Am Stat Assoc 87(417):210–217CrossRef
go back to reference Chao A, Lee SM (1993) Estimating population size for continuous-time capture-recapture models via sample coverage. Biom J 35(1):29–45CrossRef Chao A, Lee SM (1993) Estimating population size for continuous-time capture-recapture models via sample coverage. Biom J 35(1):29–45CrossRef
go back to reference Darwin C (1866) On the origin of species by means of natural selection: or the preservation of favoured races in the struggle for life. John Murray, London Darwin C (1866) On the origin of species by means of natural selection: or the preservation of favoured races in the struggle for life. John Murray, London
go back to reference Esty WW (1982) Confidence intervals for the coverage of low coverage samples. Ann Stat 10(1):190–196CrossRef Esty WW (1982) Confidence intervals for the coverage of low coverage samples. Ann Stat 10(1):190–196CrossRef
go back to reference Esty WW (1983) A normal limit law for a nonparametric estimator of the coverage of a random sample. Ann Stat 11(3):905–912CrossRef Esty WW (1983) A normal limit law for a nonparametric estimator of the coverage of a random sample. Ann Stat 11(3):905–912CrossRef
go back to reference Esty W (1985) Estimation of the number of classes in a population and the coverage of a sample. Math Sci 10:41–50 Esty W (1985) Estimation of the number of classes in a population and the coverage of a sample. Math Sci 10:41–50
go back to reference Esty WW (1986) The efficiency of good’s nonparametric coverage estimator. Ann Stat 14(3):1257–1260CrossRef Esty WW (1986) The efficiency of good’s nonparametric coverage estimator. Ann Stat 14(3):1257–1260CrossRef
go back to reference Good IJ (1953) The population frequencies of species and the estimation of population parameters. Biometrika 40(3–4):237–264CrossRef Good IJ (1953) The population frequencies of species and the estimation of population parameters. Biometrika 40(3–4):237–264CrossRef
go back to reference Good I, Toulmin G (1956) The number of new species, and the increase in population coverage, when a sample is increased. Biometrika 43(1–2):45–63CrossRef Good I, Toulmin G (1956) The number of new species, and the increase in population coverage, when a sample is increased. Biometrika 43(1–2):45–63CrossRef
go back to reference Harris B (1959) Determining bounds on integrals with applications to cataloging problems. Ann Math Stat 30(2):521–548CrossRef Harris B (1959) Determining bounds on integrals with applications to cataloging problems. Ann Math Stat 30(2):521–548CrossRef
go back to reference Huang SP, Weir B (2001) Estimating the total number of alleles using a sample coverage method. Genetics 159(3):1365–1373PubMedPubMedCentral Huang SP, Weir B (2001) Estimating the total number of alleles using a sample coverage method. Genetics 159(3):1365–1373PubMedPubMedCentral
go back to reference Huang X, Börner A, Röder M, Ganal M (2002) Assessing genetic diversity of wheat (triticum aestivum l.) germplasm using microsatellite markers. Theor Appl Genet 105(5):699–707CrossRefPubMed Huang X, Börner A, Röder M, Ganal M (2002) Assessing genetic diversity of wheat (triticum aestivum l.) germplasm using microsatellite markers. Theor Appl Genet 105(5):699–707CrossRefPubMed
go back to reference Knott M (1967) Models for cataloguing problems. Ann Math Stat 38(4):1255–1260CrossRef Knott M (1967) Models for cataloguing problems. Ann Math Stat 38(4):1255–1260CrossRef
go back to reference Lee SM, Chao A (1994) Estimating population size via sample coverage for closed capture-recapture models. Biometrics 50(1):88–97CrossRefPubMed Lee SM, Chao A (1994) Estimating population size via sample coverage for closed capture-recapture models. Biometrics 50(1):88–97CrossRefPubMed
go back to reference Lo SH (1992) From the species problem to a general coverage problem via a new interpretation. Ann Stat 20(2):1094–1109CrossRef Lo SH (1992) From the species problem to a general coverage problem via a new interpretation. Ann Stat 20(2):1094–1109CrossRef
go back to reference Robbins HE (1968) Estimating the total probability of the unobserved outcomes of an experiment. Ann Math Stat 39(1):256–257CrossRef Robbins HE (1968) Estimating the total probability of the unobserved outcomes of an experiment. Ann Math Stat 39(1):256–257CrossRef
go back to reference Starr N (1979) Linear estimation of the probability of discovering a new species. Ann Stat 7(3):644–652CrossRef Starr N (1979) Linear estimation of the probability of discovering a new species. Ann Stat 7(3):644–652CrossRef
go back to reference van Hintum TJ, Brown AHD, Spillane C, Hodkin T (2000) Core collections of plant genetic resources (IPGRI Technical Bulletin No. 3., Rome, Italy, 2000) van Hintum TJ, Brown AHD, Spillane C, Hodkin T (2000) Core collections of plant genetic resources (IPGRI Technical Bulletin No. 3., Rome, Italy, 2000)
go back to reference Zhang C-H, Zhang Z (2009) Asymptotic normality of a nonparametric estimator of sample coverage. Ann Stat 37:2582–2595CrossRef Zhang C-H, Zhang Z (2009) Asymptotic normality of a nonparametric estimator of sample coverage. Ann Stat 37:2582–2595CrossRef
Metadata
Title
Measuring the representativeness of a germplasm collection
Author
Carlos Hernandez-Suarez
Publication date
20-01-2018
Publisher
Springer Netherlands
Published in
Biodiversity and Conservation / Issue 6/2018
Print ISSN: 0960-3115
Electronic ISSN: 1572-9710
DOI
https://doi.org/10.1007/s10531-018-1504-3

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