Information-entropy approach to the analysis of genetic diversity of populations (analytical review)

The application of information-entropy analysis on real data is shown: 84 bulls of Jersey (n = 10), Ayrshire (n = 10), red Danish (n = 10), red Swedish (n = 9) breeds and Holstein ecotypes of German (n = 13), Dutch (n = 17) and North American (n = 15) breeding genotyped by 11 microsatellite loci. Th...

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Main Author: V. M. Kuznetsov
Format: Article
Language:Russian
Published: Federal Agricultural Research Center of the North-East named N.V. Rudnitsky 2022-04-01
Series:Аграрная наука Евро-Северо-Востока
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Online Access:https://www.agronauka-sv.ru/jour/article/view/982
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author V. M. Kuznetsov
author_facet V. M. Kuznetsov
author_sort V. M. Kuznetsov
collection DOAJ
description The application of information-entropy analysis on real data is shown: 84 bulls of Jersey (n = 10), Ayrshire (n = 10), red Danish (n = 10), red Swedish (n = 9) breeds and Holstein ecotypes of German (n = 13), Dutch (n = 17) and North American (n = 15) breeding genotyped by 11 microsatellite loci. The Shannon information index for the combined breed samples was 1.695, the weighted average for the samples was 1.325, the inter-sample component (SHAP) was 0.370 nits or 21.8 % (all calculations according to GenAlEx 6.502). The total absolute diversity of Shannon was 5.45, averaged by samples – 3.76 effective alleles per locus, between breeds – 1.45 effective samples. The relative estimate of the differentiation of breed samples (D'β) was 36.2 % and was close to the «traditional» estimates for Hedrick, Jost and Ciao. The influence of within samples heterozygosity on SHAP estimates has not been established, but a positive trend of D'β-estimates has been noted. The matrix of paired genetic distances by breeds (D'β) and its 2D projection had a high correspondence with those by GST(NEI)-, FST(W&C)-, G"ST(HED)-, F'ST(W&C)-, DJOST-, DCHAO-measures (RMantel ≥ 0,94). Fixation indices (GST(NEI) and FST(W&C)) should be used to study the evolutionary stories of subdivided populations. To analyze the current structure of the genetic diversity of (sub)populations with an emphasis on dominant allele measures based on heterozygosity (G'ST(HED), F'ST(W&C), DJOST and DCHAO), if necessary, take into account all alleles – the Shannon measure (D'β). In conclusion, a family of Hill power measures of order q = 0, 1, 2 is considered for constructing diversity profiles containing all information about the distribution of alleles in a population.
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spelling doaj-art-e542490484564dca9f5c9d6261c7d7722025-08-20T03:57:31ZrusFederal Agricultural Research Center of the North-East named N.V. RudnitskyАграрная наука Евро-Северо-Востока2072-90812500-13962022-04-0123215917310.30766/2072-9081.2022.23.2.159-173550Information-entropy approach to the analysis of genetic diversity of populations (analytical review)V. M. Kuznetsov0Federal Agricultural Research Center of the North-East named N. V. RudnitskyThe application of information-entropy analysis on real data is shown: 84 bulls of Jersey (n = 10), Ayrshire (n = 10), red Danish (n = 10), red Swedish (n = 9) breeds and Holstein ecotypes of German (n = 13), Dutch (n = 17) and North American (n = 15) breeding genotyped by 11 microsatellite loci. The Shannon information index for the combined breed samples was 1.695, the weighted average for the samples was 1.325, the inter-sample component (SHAP) was 0.370 nits or 21.8 % (all calculations according to GenAlEx 6.502). The total absolute diversity of Shannon was 5.45, averaged by samples – 3.76 effective alleles per locus, between breeds – 1.45 effective samples. The relative estimate of the differentiation of breed samples (D'β) was 36.2 % and was close to the «traditional» estimates for Hedrick, Jost and Ciao. The influence of within samples heterozygosity on SHAP estimates has not been established, but a positive trend of D'β-estimates has been noted. The matrix of paired genetic distances by breeds (D'β) and its 2D projection had a high correspondence with those by GST(NEI)-, FST(W&C)-, G"ST(HED)-, F'ST(W&C)-, DJOST-, DCHAO-measures (RMantel ≥ 0,94). Fixation indices (GST(NEI) and FST(W&C)) should be used to study the evolutionary stories of subdivided populations. To analyze the current structure of the genetic diversity of (sub)populations with an emphasis on dominant allele measures based on heterozygosity (G'ST(HED), F'ST(W&C), DJOST and DCHAO), if necessary, take into account all alleles – the Shannon measure (D'β). In conclusion, a family of Hill power measures of order q = 0, 1, 2 is considered for constructing diversity profiles containing all information about the distribution of alleles in a population.https://www.agronauka-sv.ru/jour/article/view/982dairy cattlemicrosatellitesdifferentiationgenetic distanceinformationentropyshannon exponentanalysis of principal coordinatesordination
spellingShingle V. M. Kuznetsov
Information-entropy approach to the analysis of genetic diversity of populations (analytical review)
Аграрная наука Евро-Северо-Востока
dairy cattle
microsatellites
differentiation
genetic distance
information
entropy
shannon exponent
analysis of principal coordinates
ordination
title Information-entropy approach to the analysis of genetic diversity of populations (analytical review)
title_full Information-entropy approach to the analysis of genetic diversity of populations (analytical review)
title_fullStr Information-entropy approach to the analysis of genetic diversity of populations (analytical review)
title_full_unstemmed Information-entropy approach to the analysis of genetic diversity of populations (analytical review)
title_short Information-entropy approach to the analysis of genetic diversity of populations (analytical review)
title_sort information entropy approach to the analysis of genetic diversity of populations analytical review
topic dairy cattle
microsatellites
differentiation
genetic distance
information
entropy
shannon exponent
analysis of principal coordinates
ordination
url https://www.agronauka-sv.ru/jour/article/view/982
work_keys_str_mv AT vmkuznetsov informationentropyapproachtotheanalysisofgeneticdiversityofpopulationsanalyticalreview