The effects of the kinds of parentage test cases, frequencies of alleles and the number of blood type loci used upon the probability of solving parentage test in animals using blood groups and protein types were theoretically investigated. The results were as follows: 1) In the locus consisting of two codominant alleles, the highest probability of proving non-paternity was obtained when the frequency of each allele was 0.5. On the other hand, in the locus consisting of a dominant allele and a recessive allele, the highest probability was obtained at the dominant allele frequency of around 0.2, and the probability lowered extremely when the frequency of dominant allele was 0.7 or above. 2) In the locus consisting of two codominant alleles, the probability was in the following order from the highest (1) the case in which the sire of four offspring in a litter was to be determined, (2) the case in which the combination of parents was tested, (3) general paternity case (2 sires, 1 dam, 1 offspring), (4) the case in which dam was not examined and (5) the paternity case involving three possible sires, independently of the gene frequency. In the locus consisting of a dominant allele and a recessive allele, the probability in the latter two cases above-mentioned showed extremely low values, the probability being zero when dam was not examined. However, if the genotypes of sires were clarified in this locus, the probability increased fairly. 3) When the number of sires involved in paternity test increased, the probability decreased in accordance with an exponential function. 4) When the blood type loci used for parentage test increased, the probability increased in accordance with an exponential function.
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