|T H E O R Y|
Genetics coefficients: IC, AVK , RC, MK evaluations should be important and valuable to a responsible breeder
The Wright’s Inbreeding Coefficient (IC) and the Ancestor Loss Coefficient (AVK) the values are optimally IC=0 and AVK=100. A general first rule is: IC should be under 3% in a considered mating; AVK should be over 85%. A little over half of all hereditary defects are caused by hidden (recessive) genes. For the continued health of a breed it is therefore terribly important to consider in each breeding the degree of relationship represented by Relationship Coefficient (RC) in the parent dogs in order to avoid doubling up on possible defects in the alleles. The Mean Kinship Coefficient (MK) is a supplementary and it indicates in defined population the individual with the lowest MK. Individual with the lowest MK coefficient is the most genetically valuable for breeding program.
WRIGHT’s INBREEDING COEFFICIENT (IC)
Wright’s equation for calculating the Inbreeding Coefficient as devised by Sewell Wright in 1922 is:
Fx is the inbreeding coefficient of the dog in question, Fa is the inbreeding coefficient of the common ancestor, n1 is the number of generations from the sire to the common ancestor, and n2 is the number of generations from the dam to the common ancestor. Since the inbreeding-coefficient (IC) shows only the relation between 2 dogs, out of a match of 2 highly inbred dogs (e.g. a match of 2 littermates) which themselves come out of 2 non-related parent-dog-bloodlines, we can get an IC nearly 0% (because there are no common ancestors in the sire's/dam's bloodline). A very simple method to overcome this problem is the calculation of the AVK. This method doesn't replace the calculation of the IC but gives for the enough information for the average breeder.
RELATIONSHIP COEFFICIENT (RC)
where ICAB is the inbreeding coefficient of a hypothetical litter between A and B, and ICA and ICB are the inbreeding coefficients for the two individuals, A and B.
MEAN KINSHIP COEFFICIENT (MK)A mean kinship (MK) value is calculated for each dog in the population using a formula. Mean kinship gives a numerical value to how closely related each dog is to the population. This gives us an important measure of just how rare an individual dog's unique combination of genes is in the entire population. Dogs with a lower mean kinship values have relatively fewer genes in common with the rest of the population, and are therefore more genetically valuable in a breeding program.The formula for the MKi for individual i is
the average of the inbreeding coefficients (fij) between i and all the other breedable individuals (It doesn't matter if they are the same sex.) in the population.
WRIGHT’S INBREEDING COEFFICIENT OF THE POPULATION
According to the experts, the IC of the population shouldn’t rise over 0.5% on a yearly basis or over 2.5% in five years time.
Summarized and prepared by: Wieslawa Jezewska
1. John B. Armstrong, 1998, 1999 Significant Relationships (http://www.canine-genetics.com/relation.htm)