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Erschienen in: Biodiversity and Conservation 6/2018

20.01.2018 | Original Paper

Measuring the representativeness of a germplasm collection

verfasst von: Carlos Hernandez-Suarez

Erschienen in: Biodiversity and Conservation | Ausgabe 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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Literatur
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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)
Zurück zum Zitat 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
Metadaten
Titel
Measuring the representativeness of a germplasm collection
verfasst von
Carlos Hernandez-Suarez
Publikationsdatum
20.01.2018
Verlag
Springer Netherlands
Erschienen in
Biodiversity and Conservation / Ausgabe 6/2018
Print ISSN: 0960-3115
Elektronische ISSN: 1572-9710
DOI
https://doi.org/10.1007/s10531-018-1504-3

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