Cool tricks with Kinship Coefficients, part 2: "Should I breed this dog?"

By Carol Beuchat PhD

This is part 2 of "Cool tricks with kinship coefficients". Check out "Part 1: Is this dog really an outcross?"
One of the major ways genetic diversity is lost from a breed is through selection. In wild animal populations, most animals produce offspring and pass their genes to a new generation. The progeny that inherit the best combinations of genes survive and reproduce themselves, and those that were not as lucky are culled by natural selection.

In dogs, we often breed only one or two puppies from a litter, selecting those that we feel best suit the goals of the breeder and are good representatives of the breed. But if you started with a sire and dam that you felt were quality dogs, all of those puppies should have "quality" genes but in different combinations, some of which make for a "better" puppy than others. When the pups judged to be less suitable are not bred, we risk losing from the gene pool some of the genes that produced the good quality in the parents. We limit our future breeding options when we lose those genes, and we also remove the opportunity of tossing them together with a mix of genes from another parent dog to perhaps produce something wonderful. You can't breed every dog, and not every dog is worth breeding.

If you breed for both quality (on whatever scale) and health (and of course you so), you should be concerned about the inadvertent loss of genetic diversity that results from selective breeding because eroding the genetic base of the breed will have consequences down the line. But how do you determine which dogs are important for preserving genetic diversity? You can use the kinship coefficient.

The kinship coefficient (K) is an estimate of the genetic similarity of two animals that are related by ancestry. As I explained in Part 1 of this series (Cool tricks with kinship coefficients, part 1: Is this dog really an outcross?), the kinship coefficient of the sire and dam determines the inbreeding coefficient of their litter. Put another way, the inbreeding coefficient of a dog is the kinship coefficient of its parents. (And remember from part 1 that K must always be a comparison of two individuals.) We are going to see how you can use the kinship coefficient to assess the genetic value of a dog to the breed.

Below is the same kinship matrix we talked about in my previous post about kinship coefficients. Again, the white squares on the diagonal are each dog compared to itself (so K = 1), and the other squares are color-
coded to make it easy to spot combinations that are less (or more) related to each other.

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We can use the color coding indicated in the three squares in the upper left corner on the matrix to easily spot dogs that are closely related to other dogs (i.e., green, yellow, and red). If you follow across the rows of dogs 6 and 7 from left to right (or follow down the columns for these two dogs if you prefer), you will see that there are lots of red, orange, and yellow squares, indicating dogs as closely related to 6 and 7 as half-siblings (K = 0.125) to full siblings (K = 0.25). This means that the genes in dogs 6 and 7 are also found in other dogs in the population because they share ancestry.

Now do the same thing for dogs 3 and 4. You will find that most of the squares are green, indicating that they are not closely related to most of the dogs in this group except to each other. Their kinship coefficient with each other is 0.25, indicating that they are as closely related as full siblings.

If dogs 6 and 7 have many relatives in the population and dogs 3 and 4 have very few, then the latter pair are genetically more valuable because they carry genes that are not common among these dogs. It is fairly easy to identify the genetically important dogs in this small example population, but how can we do it with a large population of dogs with complicated patterns of relationship?

The easiest way is by computing the mean (average) of all of the kinship coefficients for each animal. In the figure below, have added a column on the right labeled mK, for "mean kinship". It is easily computed by adding up all the values in a row and dividing by the number of dogs. (The kinship coefficient of each dog with itself is included in the calculation.) Now we have a column of numbers in which it is easy to see which dogs, by the bright yellow squares, are most genetically different from the rest. Although on average, they are as related as half-siblings to the rest of the population, we know that it includes dogs with little or no relatedness, and you should keep this in mind when you are comparing the values for different dogs. It is always worth examining the kinship matrix to see whether a dog with K = 0.125 is closely related to everybody, or instead is unrelated to most of the dogs but closely related to a few that drive up the average (as here).

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Now we can use the data for mean kinship to quickly identify the dogs that are genetically most valuable in a large population. The simple bar graph organizes the dogs by rank, with the lowest values of K to the left - the dogs with the highest genetic value - and high values to the right (the dogs with lowest genetic value). In this population, there are a few dogs with high genetic value, but most of the rest of the population is closely related.

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We should be using kinship coefficients much more than we are, and that is to the detriment of maintaining genetic diversity in our breeds. Breeders should know which dogs are genetically valuable, even if they aren't the top winners in competition, because the genetic variation they carry is the raw material for breed improvement in the future. Lines lost are lost forever. Perhaps breed clubs should have a genetic diversity committee that is responsible for monitoring the population to prevent loss of variation, or this could fall to the health committee because diversity and health go hand in hand. Note that if everybody rushes to breed to the least related dogs, their genes will become common and intermixed in a way that prevents them from being used strategically to manage genetic diversity. Diversity should be exploited strategically. (For the same reason, there should be a "popular sire" monitor, whose job it is to keep an eye out for sires producing more than their fair share of puppies.)

Learn how to use the kinship coefficient to take some of the guesswork out of decisions about genetic relatedness or uniqueness when you are considering your future breeding plans. This simple tool can provide you with a wealth of valuable information!

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