|
INBREEDING AND DIVERSITYFred Lanting |
|
| Figure 1. A Simple Pedigree |
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| Sire |
Tom |
|
| Bob |
Jack |
Not applicable |
| Dam |
Not applicable |
|
| Annie |
Not applicable |
|
| Table 1. Some Common Coefficients
of Relationship |
|
| Relationship |
RXY |
| Parent offspring |
0.5 |
| Full sibs (siblings)* |
0.5 |
| Half sibs* |
0.25 |
| Grandparent-grandchild |
0.25 |
| Great grandparent-grandchild |
0.125 |
| *(Full sibs share both parents; half
sibs share only a single parent.) |
|
| Figure 2. A pedigree demonstrating
inbreeding |
||
Sire |
Sire: Edmund |
|
| Horatio |
Vincent |
Dam: Emma |
Dam |
Sire: Not applicable |
|
| Emma |
Dam: Not applicable |
|
| Inbred |
AABbcc |
| Non-inbred |
AaBcCc |
| Mating |
FX |
| Parent offspring |
0.25 |
| Full sibs (siblings) |
0.25 |
| Half sibs |
0.125 |
| Grandparent-grandchild |
0.125 |
| Figure 3. A Mating Between
Bob and Victoria |
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| Sire : Tom |
|||
Sire: |
Sire: Jack |
Dam : N/A |
|
| Bob |
Dam: annie |
Sire : N/A |
|
| Litter or Dog’s name |
Dam : N/A |
||
| (“X”) here |
Sire:Vincent |
Sire : Edmund |
|
| Dam: |
Dam: Emma |
||
| Victoria |
Dam: Emma |
Sire : N/A |
|
| Dam : N/A |
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| Table 3 a. |
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| Edmund |
Emma |
Tom |
Annie |
Tom /N/A Jack |
Edm/Emma Vincent |
Jack/Anna Bob |
Vin/Emma Victoria |
Bob/ Vic X |
|
| Edmund |
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| Table 3 b. |
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| Edmund |
Emma |
Tom |
Annie |
Tom /N/A Jack |
Edm/Emma Vincent |
Jack/Anna Bob |
Vin/Emma Victoria |
Bob/ Vic X |
|
| Edmund |
1 |
0 |
0 |
0 |
0 |
1/2 |
0 |
1/4 |
1/8 |
| Emma – Tom = 0 |
Emma – X = 0/2 + 3/8 |
Emma – Bob = 0/2 + 0/2 = 0 |
Emma – Annie = 0 |
| Emma – Vin = 0/2 + ½ |
Emma – Jack = 0/2 = 0 |
Emma – Vic = ½ + ¼ |
|
Table
3 c
|
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| Edmund |
Emma | Tom |
Annie |
Tom Jack |
Edmund/Emma Vincent |
Jack/Annie Bob |
Vincent/Emma Victoria |
Bob/Victoria X |
|
| Edmund |
1 |
0 |
0 |
0 |
0 |
1/2 |
0 |
1/4 |
1/8 |
| Emma |
0 |
1 |
0 |
0 |
0 |
1/2 |
0 |
3/4 |
3/8 |
| Table 3 d. |
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| Edmund |
Emma |
Tom |
Annie |
Tom/N/A
Jack
|
Edmund/Emma Vincent
|
Jack/Annie Bob
|
Vincent/Emma Victoria
|
Bob/Victoria X
|
|
| Edmund |
1 |
0 |
0 |
0 |
0 |
1/2 |
0 |
1/4 |
1/8 |
| Emma |
0 |
1 |
0 |
0 |
0 |
1/2 |
0 |
3/4 |
3/8 |
| Tom |
0 |
0 |
1 |
0 |
1/2 |
0 |
1/4 |
0 |
1/8 |
| Annie |
0 |
0 |
0 |
0 | 1 |
0 |
1/2 |
0 |
1/4 |
| Jack |
0 |
0 |
1/2 |
0 |
1 |
0 |
1/2 |
0 |
1/4 |
| Vincent |
1/2 |
1/2 |
0 |
0 |
0 |
1 |
0 |
3/4 |
3/8 |
| Bob |
0 |
0 |
1/4 |
1/2 |
1/2 |
0 |
1 |
0 |
1/2 |
| Victoria |
1/4 |
3/4 |
0 |
0 |
0 |
3/4 |
0 |
1 1/4 |
5/8 |
| Table 3 e. |
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| Edmund |
Emma |
Tom |
Annie |
Tom/N/A
Jack
|
Edmund/Emma Vincent
|
Jack/Annie Bob
|
Vincent/Emma Victoria
|
Bob/Victoria X
|
|
| Edmund |
1 |
0 |
0 |
0 |
0 |
1/2 |
0 |
1/4 |
1/8 |
| Emma |
0 |
1 |
0 |
0 |
0 |
1/2 |
0 |
3/4 |
3/8 |
| Tom |
0 |
0 |
1 |
0 |
1/2 |
0 |
1/4 |
0 |
1/8 |
| Annie |
0 |
0 |
0 |
0 | 1 |
0 |
1/2 |
0 |
1/4 |
| Jack |
0 |
0 |
1/2 |
0 |
1 |
0 |
1/2 |
0 |
1/4 |
| Vincent |
1/2 |
1/2 |
0 |
0 |
0 |
1 |
0 |
3/4 |
3/8 |
| Bob |
0 |
0 |
1/4 |
1/2 |
1/2 |
0 |
1 |
0 |
1/2 |
| Victoria |
1/4 |
3/4 |
0 |
0 |
0 |
3/4 |
0 |
1 1/4 |
5/8 |
| X |
1/8 |
3/8 |
1/8 |
1/4 |
1/4 |
1/8 |
1/2 |
3/8 |
1 |
|
Figure
4. A Mating Between Bill and Victoria
|
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| Sire : Tom |
|||
Sire: |
Sire: Jack |
Dam : N/A |
|
| Bill |
Dam: Lisa |
Sire : Tom |
|
| Litter or Dog’s name |
Dam : N/A |
||
| (“Y”) here |
Sire:Vincent |
Sire : Edmund |
|
| Dam: |
Dam: Emma |
||
| Victoria |
Dam: Emma |
Sire : N/A |
|
| Dam : N/A |
|||
| Table 4 |
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| Edmund |
Emma |
Tom |
Annie |
Tom/N/A
Jack
|
Edmund/Emma Vincent
|
Jack/Annie Bob
|
Vincent/Emma Victoria
|
Bob/Victoria X
|
|
| Edmund |
1 |
0 |
0 |
0 |
0 |
1/2 |
0 |
1/4 |
1/8 |
| Emma |
0 |
1 |
0 |
0 |
0 |
1/2 |
0 |
3/4 |
3/8 |
| Tom |
0 |
0 |
1 |
0 |
1/2 |
0 |
1/4 |
0 |
1/8 |
| Annie |
0 |
0 |
0 |
0 | 1 |
0 |
1/2 |
0 |
1/4 |
| Jack |
0 |
0 |
1/2 |
0 |
1 |
0 |
1/2 |
0 |
1/4 |
| Vincent |
1/2 |
1/2 |
0 |
0 |
0 |
1 |
0 |
3/4 |
3/8 |
| Bob |
0 |
0 |
1/4 |
1/2 |
1/2 |
0 |
1 |
0 |
1/2 |
| Victoria |
1/4 |
3/4 |
0 |
0 |
0 |
3/4 |
0 |
1 1/4 |
5/8 |
| Y |
1/8 |
3/8 |
1/4 |
5/16 |
5/16 |
3/8 |
9/16 |
5/8 |
1 |
Z Offspring linebred on Emma |
Z's Dam: Emma (rest of Emma's pedigree not applicable |
| Edmund |
Emma |
Tom |
Annie |
Tom/N/A
Jack
|
Edm/Emma Vincent
|
Jack/Ann Bob
|
Vinc/Emma Victoria
|
Bob/Vict X
|
Y/Emma |
|
| Edmund |
1 |
0 |
0 |
0 |
0 |
1/2 |
0 |
1/4 |
1/8 |
1/16 |
| Emma |
0 |
1 |
0 |
0 |
0 |
1/2 |
0 |
3/4 |
3/8 |
11/16 |
| Tom |
0 |
0 |
1 |
0 |
1/2 |
0 |
1/4 |
0 |
1/8 |
1/8 |
| Annie |
0 |
0 |
0 |
0 | 1 |
0 |
1/2 |
0 |
1/4 |
5/32 |
| Jack |
0 |
0 |
1/2 |
0 |
1 |
0 |
1/2 |
0 |
1/4 |
5/32 |
| Vincent |
1/2 |
1/2 |
0 |
0 |
0 |
1 |
0 |
3/4 |
3/8 |
7/16 |
| Bob |
0 |
0 |
1/4 |
1/2 |
1/2 |
0 |
1 |
0 |
1/2 |
9/32 |
| Victoria |
1/4 |
3/4 |
0 |
0 |
0 |
3/4 |
0 |
1 1/4 |
5/8 |
11/16 |
| Y |
1/8 |
3/8 |
1/4 |
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 |
| Figure 6. Seven Generations
From an Outcrossing Event |
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| #'s refer to |
Outcross |
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| generations |
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