“The Power of Chain Males”
by Michael Ventura
Inbreeding is about doubling genes.
The
more ancestry you have shared between the sire and dam, the more likely
the foal is to get the same copy of a gene from its sire that it got
from its dam.
This
is important to racing ability since when a gene variant is doubled,
its impact on the Horse will usually be intensified due to the effect
no longer getting diluted by an alternative version of the gene.
This can be very good is the gene variant is good, but very bad if the gene variant is bad.
But why would a foal you bred get poisoned by the unwanted presence of bad doubled gene variants? After
all, you tried to inbreed to a good ancestor and that ancestor’s genes
went through several generations before they got to your foal,
generations of the fit reproducing and the weak being selected against
that ought to have filtered out the bad genes.
But
here’s the problem and here is the Achilles’ Heel of Inbreeding: The
central reality of Thoroughbred Breeding is that the average foal has a
sire that got the privilege of breeding by passing meaningful selection
tests, while at the exact same time he’ll have a dam which got to breed
without passing anything resembling the sort of selection tests that a
sire would have.
Therefore
each generation that the genes of the inbred to ancestor went through a
female to get to the foal is a generation where there was no meaningful
selection and consequently no meaningful filtering out of the bad genes.
Recently,
I found strong evidence that this lack of female selection has a
powerful real world effect on what kinds of inbreeding are more
successful and what kinds are much less so.
How it started is that Adrian Parry sent me data on horses in his database that were born from ’90 to ’02 and which were inbred within 5 generations to a single ancestor.
This
data was organized around which position that Common Ancestor was in on
the Sireside and the Damside. So that, for instance, you could
see the % of SWs for cases where the Common Ancestor showed up in the
Grandsire Position on the Sireside and 3rd Damsire Position on the Damside, etc.
Also,
in the data the Pedigree Positions were signified by Algebraic Notation
where A1 and A2 are the sire and dam, B1 the Grandsire, etc.; as
demonstrated in this Pedigree Chart of 2007 BC Classic Winner Curlin:
| SMART STRIKE (CAN) A1 |
( USA ) B1
| ( USA) C1
| D1
| |
| |
| D2
| |
| |
| ( USA ) C2
| D3
| |
| |
| D4
| |
| |
| (CAN)* B2 | ( USA ) C3
| D5
| |
| |
| D6
| |
| |
| (CAN)* C4
| D7
| |
| |
| D8 | |
| |
| SHERIFFS DEPUTY ( USA ) A2
| (CAN) B3
| (CAN) C5
| D9
| |
| |
| D10
| |
| |
| (CAN) C6
| D11
| |
| |
| D12
| |
| |
| ( USA ) B4
| ( USA ) C7
| D13
| |
| |
| D14
| |
| |
| ( USA ) C8
| D15
| |
| |
| D16
| |
| |
On
account of my theory that Inbreeding would be compromised by the genes
of the Inbred to Ancestor not getting filtered enough the times they
went through females, I decided to check whether there was a
Correlation between the number of Male Horses the Genes of the Inbred
to Male Ancestor had to go through on the Damside to get to the inbred
foal and the % of SWs for that kind of inbreeding.
For instance, if you inbred to the 3rd
damsire of the potential foal, the genes of that Inbred to Ancestor
would’ve went through 0 Males to get to the foal (as they would’ve just
gone through the 3rd dam, the 2nd dam, and finally the 1st dam).
What I ended up finding was a strong correlation
between the Number of Males a Damside Inbred to Ancestor had to go
through to reach the foal and the % of SWs for that kind of Inbreeding:
| Damside Position | # of SWs | # of Foals | % of SWs | # of Males in Chain |
| B3 | 1 | 36 | 2.77778 | 0 |
| C7 | 18 | 352 | 5.11364 | 0 |
| D15 | 64 | 1081 | 5.92044 | 0 |
| E31 | 129 | 2184 | 5.90659 | 0 |
| C5 | 54 | 953 | 5.66632 | 1 |
| D11 | 93 | 1501 | 6.19587 | 1 |
| D13 | 140 | 2354 | 5.94732 | 1 |
| E23 | 155 | 2416 | 6.41556 | 1 |
| E27 | 191 | 2956 | 6.46143 | 1 |
| E29 | 297 | 4188 | 7.09169 | 1 |
| D9 | 231 | 3238 | 7.13403 | 2 |
| E19 | 357 | 4736 | 7.53801 | 2 |
| E21 | 324 | 4602 | 7.04042 | 2 |
| E25 | 475 | 5741 | 8.27382 | 2 |
| E17 | 624 | 7314 | 8.53158 | 3 |
What
I found looking at the Spearman Rank Order Correlation between the % of
SWs for one of the above categories of inbreeding and the Number of
Males in the Chain leading to the inbred foal was incredibly strong r of .8932. This
means that 80% of the variation in the % of SWs from position to
position is explained by the number of males in the chain leading from
that position to the inbred foal. ‘
(NOTE: In
contrast to the 80% Correlation between # of Chain Males and % of SWs,
there’s only a 52% Correlation between the Number of Generations back a
position is and its % of SWs; which shows that the number of Chain
Males is the true driving force here and not overall Generational
Distance.)
Another
way of looking at this is to note that on the Damside, the positions
with 0 Chain Males between them and the foal got only 5.80% SWs in
Adrian Parry’s database, that the positions with 1 Chain Male got 6.47%
SWs, the ones with 2 Chain Males got 7.57%, and the one with 3 Chain
Males got 8.73% SWs.
The most interesting thing to me though is that when I did the same thing with the cross of the Inbred to Ancestor
found on the Sireside, nothing resembling such a strong Correlation was found:
| Sireside Position | # of SWs | # of Foals | % of SWs | # of Males in Chain |
| B1 | 21 | 132 | 15.90909 | 1 |
| C3 | 27 | 388 | 6.95876 | 1 |
| D7 | 75 | 1199 | 6.25521 | 1 |
| E15 | 176 | 2334 | 7.54070 | 1 |
| C1 | 118 | 1318 | 8.95296 | 2 |
| D3 | 132 | 1696 | 7.78302 | 2 |
| D5 | 182 | 2363 | 7.70207 | 2 |
| E7 | 167 | 2389 | 6.99037 | 2 |
| E11 | 182 | 2880 | 6.31944 | 2 |
| E13 | 267 | 3983 | 6.70349 | 2 |
| D1 | 351 | 4643 | 7.55977 | 3 |
| E3 | 288 | 4032 | 7.14286 | 3 |
| E5 | 340 | 4840 | 7.02479 | 3 |
| E9 | 335 | 4747 | 7.05709 | 3 |
| E1 | 492 | 6708 | 7.33453 | 4 |
Which
is only a Spearman Rank Order Correlation of .0658 (which means that
only a piddling 0.43% of the variation in % of SWs between positions
are explained by the number of males in the chain leading from the
inbred to ancestor to the foal).
Another
way of looking at this is that on the Sireside, the positions with only
1 Chain Male got 7.38% SWs in Adrian ’s database, the positions with 2
Chain Males got 7.16%, the positions with 3 got 7.20%, and the position
with 4 Chain Males got 7.33%.
To
me the simplest and most natural explanation for these findings is that
Dams are SO unselected as compared to Sires, both in terms of
individual quality and pedigree, that whereas there’s a strong need to
get the Genes of an Inbred to Ancestor filtered through as many males
as you can when they come through the dam, a similarly strong need does
not exist for the genes coming through the sire.
The lesson? That
if you want to inbreed within 5 generations, you should to try to
inbreed to ancestors of your mare that had their genes go through as
many male ancestors before reaching your mare as possible.
-Michael Ventura, December 14, 2007