Based on a theory of generalized kinship coefficients a recursive algorithm for the calculation of the coefficient of kinship and all nine condensed identity coefficients for any two individuals with given pedigree is described. Furthermore, the algorithm also permits the calculation of all fifteen detailed coefficients for two individuals neither of whom is an ancestor of the other one. Results for standard as well as highly inbred relationships are given. Observe that A1 = S,, A2 =a,, A8 = Sz+S3, A4 = S,, A, = 6,+S5, A6 = S,, A, = 6,+S,,, A, = ~,0+~1,+81,+S1,, A,, =a,, and * Not calculated by DETIDCOEFF. CP = S1+f(6,+S3+6,+6,+6~+Sl,)+f(Slo+611+S,,+614) = A l + f ( A 3 + A 5 + A 7 ) +~A 8 . The notation follows Jacquard (1973).c) m cs. NADOT, R. & VAYSSEIX, G. (1973). Apparentement et identit6. Algorithme du calcul des coefficients d'identitk. ROSTRON, J . (1978). On the computation of inbreeding coefficients. Annuls of Human Genetics 41, 469-475.In Ginitique at Population. Paris : Presses Universitaires de France.
23fj-246.Population Biology 6, 58-75. Poincare' B 2, (1965), 1-94. 75 1-776.
de l'lnstitut Henri
Population Biology.
223-233.Biometrics 29, 347-359.