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Table 1 Description of three commonly used measures of genetic difference between individuals. Each diploid individual is characterized by two individual genes at each gene locus, which are either identical in their gene state (= homozygous; e. g. A1A1) or different in their gene state (= heterozygous; e. g. A1 A2). Measurements of genetic difference between two individuals can therefore be based on either differences in number of gene states (d J ) or on number of individual genes differing in gene state (d0, d ur ) at a specified number of gene loci.

From: Spatiogenetic characteristics of beech stands with different degrees of autochthony

formal representation

verbal description

d 0 = k m a x { G 10. k , G 01. k } 2 l MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciGacaGaaeqabaqabeGadaaakeaacqWGKbazdaWgaaWcbaGaeGimaadabeaakiabg2da9maalaaabaWaaabeaeaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbwvMCKfMBHbaceiGaa8xBaiaa=fgacaWF4baaleaacqWGRbWAaeqaniabggHiLdGcdaGadaqaaiaa=DeadaWgaaWcbaGaeGymaeJaeGimaaJaeiOla4Iaem4AaSgabeaakiabcYcaSiabbccaGiabdEeahnaaBaaaleaacqaIWaamcqaIXaqmcqGGUaGlcqWGRbWAaeqaaaGccaGL7bGaayzFaaaabaGaeGOmaiJaeyyXICTaemiBaWgaaaaa@53DD@

the minimum number of individual genes, the states of which have to be replaced in one individual in order to get the genotype of the other individual

d J = k ( G 10. k , G 01. k ) k ( G 11. k + G 10. k + G 01. k ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=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@589B@

the number of gene states present in only one of the two individuals among the total number of gene states present in both individuals

d u r = k G k 4 l MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciGacaGaaeqabaqabeGadaaakeaacqWGKbazdaWgaaWcbaGaemyDauNaemOCaihabeaakiabg2da9maalaaabaWaaabeaeaacqWGhbWrdaWgaaWcbaGaem4AaSgabeaaaeaacqWGRbWAaeqaniabggHiLdaakeaacqaI0aancqGHflY1cqWGSbaBaaaaaa@3CAF@

the expected relative degree of heterozygosity of the off- spring of two individuals

  1. l := number of gene loci, G10.k:= number of gene states at the k-th locus present only in the first individual and absent in the second, G01.k:= number of gene states at the k-th locus present only in the second individual and absent in the first, G11.k:= number of gene states at the k-th locus present in both individuals, G k := number of heteroallelic pairs of individual genes, one from each of the two individuals.