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INBREEDING AND DIVERSITY - PART 3

by Fred Lanting

Copyright July, 2007 -

 

<== Return to Part 2

Figure 5. A Linebreeding Scheme based on Emma


Z (offspring linebred Emma)

Sire: Y

Sire: Bill

Sire: Jack

Sire: Tom

Dam: n.a.

Dam: Lisa

Sire: Tom

Dam: n.a.

Dam: Victoria

Sire: Vincent

Sire: Edmund

Dam: Emma

Dam: Emma

Sire: n.a.

Dam: n.a.

Z’s Dam: Emma (rest of Emma’s pedigree not applicable)

The first thing we do is add a column and a row to the table that we will fill in with coefficients of relationship between Z, the offspring of Emma and Y, and the rest of the dogs in the pedigree. We can also fill in the Z-Z cell because we already know the relationship between Y and Emma is 3/8, giving Z a coefficient of inbreeding of 3/16 (18.75%). The normal procedure is then followed to complete the table, which is presented below.

Edm.

Emma

Tom

Tom
Lisa

Tom
Jack

Ed Em
Vincent

Jack Lisa
Bill

Vinc Em
Victoria

Bill Vic
Y

Y Em
Z

Edmund

1

0

0

0

0

½

0

¼

1/8

1/16

Emma

0

1

0

0

0

½

0

¾

3/8

11/16

Tom

0

0

1

½

½

0

½

0

¼

1/8

Lisa

0

0

½

1

¼

0

5/8

0

5/16

5/32

Jack

0

0

½

¼

1

0

5/8

0

5/16

5/32

Vincent

½

½

0

0

0

1

0

¾

3/8

7/16

Bill

0

0

½

5/8

5/8

0

1 + 1/8

0

9/16

9/32

Victoria

¼

¾

0

0

0

¾

0

1 + ¼

5/8

11/16

Y

1/8

3/8

¼

5/16

5/16

3/8

9/16

5/8

1

11/16

Z

1/16

11/16

1/8

5/32

5/32

7/16

9/32

11/16

11/16

1+3/16

The shaded row and column contain coefficients of relationship between Z and the other dogs in the pedigree. We can clearly see that relationships between these animals are rising quickly because of the ties back to Emma in three out of four generations. Many breed societies have rules that dictate how frequently the same animal may appear in a pedigree, perhaps four times in six generations, and those rules are based on this idea. However, you can now see that the influence of such an individual depends quite a lot on just where in the pedigree the repeat appearances are. A more sensible rule might be that animals with a coefficient of inbreeding beyond a certain threshold will not be issued papers. A second approach would be to restrict the average relationship to influential members of the breed. The American Jersey Cattle Club publishes what they call a coefficient of kinship (K) on their pedigrees. That number represents the average relationship between the pedigreed individual and a set of the most influential sires in the Jersey breed. A disadvantage of this approach, however, is that K cannot be computed using the tabular method or other simple technique, and can vary considerably depending on the definition of the “most influential” group.

Introducing Genetic Variation through Crossbreeding

Breeds small in numbers (such as the Shiloh, certainly the Chinook and Klee Kai) are sometimes faced with the need to introduce genetic variation from an outside source to keep their population viable. This is typically done using crosses between the breed’s base (small gene pool) and another breed deemed to be suitable. The decision of what breed to outcross with can be based on anatomical conformation, behavior, or some other characteristic important to the base breed. A concern is often to limit the influence of the new breed to maintain an acceptable level of “purity”, or breed composition. An approach to calculating the outcome of matings between base and outcross animals will be presented and discussed.

Outcrossing may be used to take advantage of a phenomenon erroneously known as “hybrid vigor”, more properly heterosis. The idea is that a cross between two populations that have each become relatively homozygous will produce offspring that are heterozygous at many loci. Research has shown that such crosses are often much heartier, healthier and productive than either of the parental lines. Heterosis is an effect dog breeders have known about and taken advantage of for many years. [Note: technically, a hybrid is a cross between two species, such as horse X jackass, or bison X cattle; crossbred dogs or dog-wolf matings do not produce true hybrids. But we should recognize that the word is used, and consider the context, even though a wolf is just another breed of dog.]

A tabular approach can be used to determine levels of breed composition. By breed composition, we mean the percentage of base and outcross breeds in the improved population. For example, if you were to cross populations of German Shepherds and Labradors, the composition of the resulting breed would be 50% GSD and 50% Labrador. Rules for acceptable matings are often based on distance between the outcross and current generation of individuals, and the tabular method to be presented can be used to determine if breed association rules are based on sound genetic ideas or breeder preferences.

We are going to use as the basis for this discussion a question posed to the author regarding breed composition and association rules. The situation is as follows: because of concerns about small population size, a breed association wishes to outcross for a single generation to bring in some new genetic variation. The outcross individuals will be used only for a single generation, and matings between composite (mixed) individuals will only be allowed if they are a certain distance apart in generations from the outcross. The rules as they currently stood stated that, (A): 2, 3 and 4 may only mate with 5 and 6, and (B): 5 and 6 may only mate with 2, 3, 4, 5, and 6.

Those numbers refer to distance, in generations, from the outcross event. A ‘1’ would be the offspring of the limited-numbers breed and the introduced “outcross” breed. We will use the pedigree in Figure 6 as the basis for our discussion.

Figure 6. Seven Generations From an Outcrossing Event

#s refer to

Outcross1

generations

1---{

from the

2---{

Pure2

outcross

3---{

Pure

“event”.

4---{

Pure

5---{

Pure

6---{

Pure

*(2:

“Pure”)

7---{

Pure

Pure

  1. “Outcross” represents the individual(s) of another breed
  2. “Pure” represents a purebred individual of the limited-numbers breed. Each of the “Pure” dogs above is a different individual.
    (Read the above chart as: “Outcross” bred to the first “Pure” gave us #1; #1 bred to another “Pure” gave us # 2, etc.)

We are going to use a table of eight generations (“Outcross” through 7) to show the breed composition of a mating between any two individuals an arbitrary number of generations from the outcross event. Using the rules for computing a table of relationships presented earlier, we end up with the following table:

Outcross

1

2

3

4

5

6

7

Outcross

1

½

¼

1/8

1/16

1/32

1/64

1/128

1

½

1

½

¼

1/8

1/16

1/32

1/64

2

¼

½

1

½

¼

1/8

1/16

1/32

3

1/8

¼

½

1

½

¼

1/8

1/16

4

1/16

1/8

¼

½

1

½

¼

1/8

5

1/32

1/16

1/8

¼

½

1

½

¼

6

1/64

1/32

1/16

1/8

¼

½

1

½

7

1/128

1/64

1/32

1/16

1/8

¼

½

1

The lower cells can be filled from the upper cells. The entries in this table are relationships between the individuals in the pedigree, as we have seen before.

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Fred Lanting is an internationally respected show judge, approved by many registries as an all-breed judge, has judged numerous countries’ Sieger Shows and Landesgruppen events, and has many years experience with SV. He presents seminars and consults worldwide on such topics as Gait-&-Structure, HD and Other Orthopedic Disorders, Anatomy, Training Techniques, and The GSD. He conducts annual non-profit sightseeing tours of Europe, centered on the Sieger Show (biggest breed show in the world) and BSP.

All Things Canine -- consulting division, Willow Wood Services Phone: 256-498-3319 Fax: 256-498-3311 E-mail mr.gsd@netscape.com

Canine HD and Other Orthopedic Disorders by Fred Lanting.Canine HD and Other Orthopedic Disorders by Fred Lanting
It covers all joints plus many bone disorders and includes genetics, diagnostic methods, treatment options, and the role that environment plays. This new "Hip Dysplasia and Other Canine Orthopedic Disorders" book is a comprehensive (nearly 600 pages!), amply illustrated, annotated, monumental work that is suitable as a coffee-table book, reference work for breeders and vets, and a study adjunct for veterinary students, for the dog trainer and the general dog owner of any breed.

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The Total German Shepherd Dog This is the expanded and enlarged second edition, a "must" for every true GSD lover. It is an excellent alternative to the "genetic history" by Willis, but less technical and therefore suitable for the novice, yet very detailed to be indispensable for the reputable GSD breeder. Chapters include: History and Origins, Modern Bloodlines, The Standard, Anatomy, The German Shepherd in Motion, Shows, Showing, and Training, The Winners, Nutrition and Feeding, General Care and Information, Health and First Aid, Parasites and Immunity, Diseases and Disorders, The Geriatric German Shepherd, Breeding, Basics of Genetics, Reproduction, Whelping, The First Three Weeks, Four to Twelve Weeks, Trouble-shooting Guide.Click here to purchase books by Fred Lanting



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