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Inbreeding Notations in Thoroughbred Pedigrees

In a recent survey about Thoroughbred breeding and pedigree content on BloodHorse.com, I asked readers to suggest topics they'd like to read about more often. A frequently-repeated request was to run "introductory" articles about various breeding theories.  Apparently it can be confusing to have text referring to "5 x 3 inbreeding" or "sire line affinities" or "a Brilliant/Intermediate Dosage profile" without explaining what is meant.  I'm all for it -- and I'll start out with an occasional Back to Basics post.  If there's a specific topic that you think requires a short tutorial, please indicate in the comments section and I'll put it on the list!


Let's start with inbreeding.

Right away, we need to clear up some definitions. The Thoroughbred breeder uses slightly different terminology than other livestock breeders.  Inbreeding refers specifically to a duplication of a single ancestor within five generations.  A concept that is related but distinct is line-breeding, which refers to duplication of a single ancestor within more than five generations.  (Note that this definition differs significantly from how "linebreeding" is used in other livestock breeding.)

Inbreeding and line-breeding both use generational notations.  If Teddy appears in the fourth generation of a horse's sire and also the fifth generation of its dam, that horse is said to be "inbred 4 x 5 to Teddy."  See an example here.

The generations are always denoted according to the duplicated ancestor's appearance on the pedigree while regarding it vertically.  (Huh?!?)  Here's an example: start looking at Ikigai's pedigree from the top down. You'll see one cross of Mr. Prospector in the fourth generation (as sire of Gone West) ... another in the fifth generation (as sire of Fappiano) ... and another in the fourth generation (as sire of Conquistador Cielo).  Therefore, Ikigai is inbred 4 x 5 x 4 to Mr. Prospector.  (He's also inbred 4 x 5 to Reviewer and 5 x 5 to Arts and Letters.)  (And as an aside, it's pretty fitting that Ikigai won the grade III Mr. Prospector Stakes!) 

Some sources take it even further and indicate whether the duplications come through the sire or the dam, using "S" and "D" distinctions.  This is useful when there are three or more duplications of the inbred ancestor. In the case of Ikigai, for example, he has Mr. Prospector 4S x 5S x 4D.  Taking it one step further, some publications will use case to indicate whether the duplication came through sons or daughters.  Again looking at Ikigai, we'd see that his inbreeding to Arts and Letters is 5s x 5D.  Note the lower case "s" means that the first instance of Arts and Letters came through Ikigai's sire (the letter "s") and specifically through one of his daughters (small case instead of capital letter). The upper case "D" means that the second instance of Arts and Letters came through Ikigai's dam (the letter "D") and specifically through one of his sons (capital instead of lower case).

Here's where things get a bit confusing:  a horse is NOT considered "inbred" unless the duplicated ancestor appears in both its sire's and dam's pedigrees. For example, A.P. Indy is inbred to Bold Ruler. A daughter of A.P. Indy whose dam doesn't have Bold Ruler in her pedigree is not considered inbred to Bold Ruler.  Take a look at this example.

If A.P. Indy is crossed with a mare that does have Bold Ruler in her pedigree, we're back to calling the resulting foal "inbred to Bold Ruler."  Pulpit serves as a good example: he is inbred 5 x 4 x 5 to Bold Ruler. He's also inbred to Bold Ruler's sire, Nasrullah -- in this case, 6S x 6s x 5S x 5D x 6D. Note that Pulpit is considered inbred to Nasrullah because Nasrullah appears in the first five generations of both his sire's and dam's pedigrees and through different progeny.  If Nasrullah appeared only once within five generations but was duplicated further back in the pedigree he would be considered a line-bred influence; if he appeared only as the sire of Bold Ruler, he wouldn't be considered either an inbred or line-bred influence, no matter how many times or in what location Bold Ruler appears.

There are some inbreeding theories that are worth looking into. The duplicated sire line (where inbreeding occurs specifically in the direct sire line and the direct damsire line) is one we'll take a look at in an upcoming study. The Rasmussen Factor is a specific pattern of inbreeding to mares, and is one I'll discuss in detail in a future post.

So, if you've followed all that, here are a couple of interesting pedigrees to look at:

  1. Roberto (pedigree).  This is one of the most inbred pedigrees you're likely to find amongst modern sires. You'll see inbreeding to Nearco and Pharos and Mumtaz Begum and Plucky Liege and Blue Larkspur. There's additional line-breeding to Sir Gallahad (4s x 6D).  There's a duplication of Sardanapale -- but while Bramalea is considered inbred to him, note that Roberto is not!  Similarly, Hail to Reason's dam is inbred 3 x 5 to Man o'War, but Hail to Reason is not considered inbred to him, and Roberto (who has Man o'War 5s x 6s) is not considered line-bred to the great Big Red.
  2. Salambria (pedigree). This is one of my mares, and you'll notice she's inbred 4S x 4d to Intentionally and 5S x 4s x 4d to Aspidistra.  I have Salambria booked to Request for Parole for an April cover -- here is the hypo-mating pedigree.  This mating will create additional inbreeding to Secretariat (4s x 4d) and In Reality (4S x 4d), while expanding the inbreeding to Aspidistra (now 5s x 6D x 5d x 5d). 

 Here's your challenge, should you choose to accept:  based on standard notation, try to spot what's wrong with the equineline.com hypothetical mating report for my 2010 foal out of Salambria.  Answers in the comments section, please. 

29 Comments:

this challenge, along with various breeding theories and quantitative statistics and analysis, is fascinating.  i appreciate the information regarding line and inbred breeding, look forward to any information/answer(s) regarding the future foal...

kyfl 31 Mar 2009 2:20 PM

looked at this a hundred times or so, in regard to foal...

Aspidistra: the hypothetical foal

           5s x 5d x 5d

Request for Parole: Aspidistra 4s

Salambria: Aspidistra 5s x 4s x 4d

the hypothetical foal according to equineline is missing an Aspidistra from either Request for Parole or Salambria depending on how this is derived, best quess I can submit...  all the best regardless...  I'm going to select other sires for you, hypothetically...

kyfl 31 Mar 2009 2:44 PM

hypthetical foal:  5s x 5s x 5d

kyfl 31 Mar 2009 2:46 PM

"if he appeared only as the sire..., he wouldn't be considered either an inbred or line-bred influence, no matter how many times or in what location...appears."

According to this wouldn't you have to exclude

Intentionally and My Dear Girl as they appear as the sire/dam of In Reality?  There is an extra dose of Intentionally in there though Ta Wee.  Would you notate this?

Similarly Bold Ruler and Somethingroyal show up only as the sire/dam of Secretariat and the foal shouldn't be considered inbred or linebred to either.

Shouldn't Aspidistra also be notated 5s x 5d x 5d?

I'm totally new to this.  I had no idea about any of these notations and this was a very interesting and helpful article (I think...we'll see how I did with the errors).

  • Scot's reply:  You nailed it!  The equineline.com reports show ALL duplications, rather than just true inbreeding. In the Request for Parole / Salambria hypo-mating, My Dear Girl, Bold Ruler, and Somethingroyal are NOT actually inbred ancestors.  (Intentionally, however, is -- he appears as the sire of both Ta Wee and In Reality.)
RachelSatterfield 31 Mar 2009 2:48 PM

TO SCOT: Thank you so much for this article. It's extremely informative. Although I've been an amateur pedigree researcher for many years, even I learned some new things from your piece.

I'm intrigued by the Request for Parole x Salambria mating due to the Secretariat inbreeding. I've noticed more and more breeders doing the same thing -- inbreeding to Secretariat -- and it seems to be paying off.

The reason I'm extremely interested in Friesan Fire is because he's inbred 3s x 4d to Secretariat (via A.P. Indy and Dehere).

I also note that Salambria is from Aspidistra's tail-female family via the great Ta Wee, half sister to the even greater Dr. Fager. He, of course, was the sire of Fappiano's dam.

In addition, because Request for Parole is from the Intentionally line (tail-male descendant of Man o'War), I hope he has some measure of success at stud. This is a direct male line I'm hoping will not be allowed to die out. In my opinion, the breed needs to retain as much genetic diversity as possible.

Anyway, I have a nostalgic attachment to the Intentionally line. For a brief period in 1967 and '68, I worked at Early Bird Stud in Ocala, rubbing and exercising yearlings. One was a bright chestnut colt (later gelded unfortunately) by Intentionally x Nalo by Nadir. He was purchased by Charles Englehard in the 1968 Ocala 2-yr-old in training sale. Named Red Reality, he went on to win multiple stakes while amassing a lifetime record of 77 starts, 20 wins, 16 places, 12 shows, and earnings of $562,866.

For Big Red 31 Mar 2009 2:59 PM

thanks for the education and insight into breeding, in regard for big red and 'to secretariats' of the pa breds and fee, wiseman ferry...

kyfl 31 Mar 2009 3:39 PM

pa breds with secretariat

fairbanks

santana strings

one great cat

  • Scot's reply:  These are some good ideas!  You're right on with the Secretariat inbreeding.  The conventional wisdom is that it's a hit-or-miss pattern, but I'm convinced that we're only starting to see the benefits of inbreeding to Secretariat, especially through his royally-bred daughters.  ...  I'm actually in Lexington rather than Pennsy... I'm making the northward trek to Request for Parole because I'm super-impressed with him and he is a near-perfect physical and pedigree match for Salambria. 
kyfl 31 Mar 2009 3:45 PM

Hi Scot,

In your reply you implied that your hypo foal would not be inbred to Bold Ruler, Somethingroyal or My Dear Girl ("Not actually inbred ancestors"-not well worded, but I think I catch your intent). Fact is, your hypo is inbred to all three, and to precisely the same degree had the duplications occurred through non-identical sources. I agree, however, that there is a distinct qualitative difference between the two cases-for ex.- an inbreeding to Bold Ruler only through Secretariat would be confined only to those Bold Ruler "genes" inherited by Secretariat-a relatiely more restricted "pool" than had the inbreeding to Bold Ruler occurred through non-identical sources.  

  • Scot's reply:  Sceptre, as you say, this mating does yield duplications of Bold Ruler, Somethingroyal, and My Dear Girl.  I mentioned in my remarks, though, that this discussion was about the semantics of the Thoroughbred breeding industry rather than other uses of such terms as "inbreeding" and "line-breeding."  The resulting foal in this case will be inbred to In Reality but not to My Dear Girl since "inbreeding" in Thoroughbred pedigrees requires the duplicated ancestor to come through different progeny.

 

sceptre 31 Mar 2009 4:15 PM

Hi again Scot,

Note your point, but not sure your semantic "definition" of inbreeding in thoroughbreds is correct. If one followed it (your definition) to the letter the accepted notations that do appear would not. Consider those linebred (example) 4(s)x4(d)x5(s) to Bold Ruler, wherein the 4(s) and 5(s) are both through Secretariat. By your version of the "definition" this mating should show only a 3x4 Secretariat, and a 4x5 Bold Ruler.

As far as your mare's proposed mate- appears you're on the right track. She was a poor runner and has not produced well. With these type more intensive inbreeding may offer the best hope. If you haven't already, it may be worth taking a look at "Yada Yada" and her good produce by Trippi. Until Yada Yada Stem also appeared not to have inherited much of Aspidistra's +s, so there's hope for you as well, albeit faint.  

  • Scot's reply:  Thanks, Sceptre.  I see where you would be confused by the inbreeding notation -- it's unique to Thoroughbred breeding as far as I can tell -- but it's consistent and accepted.  (In your example with Bold Ruler, it does indeed meet the requirement of duplication through more than one progeny.) ... As for Salambria, I agree that inbreeding can possibly upgrade the class of her own lines. She was a multiple winner and ran a solid 10 times at 2 and 15 times at 3, and has several pedigree elements that I was keen on.  Before I acquired her she produced a minor South American stakes winner. I actually tried to purchase Yada Yada prior to her two stakes horses (and I mentioned her here) and she was one of the reasons I thought it was worth giving Salambria a shot! 
sceptre 31 Mar 2009 5:21 PM

Tell me about the power of 12 ?

I read something sometime ago about the 12th ancester being an influence on the resultant foal???

Bruce 31 Mar 2009 5:57 PM

TO SCOT: You replied, "I'm convinced that we're only starting to see the benefits of inbreeding to Secretariat..."

If Friesan Fire wins one or more of the classics, perhaps we'll see more inbreeding to Secretariat. I am enthralled by his pedigree and am delighted he's such a good racehorse.

Anyway, I have a question. In his column, Leon Rasmussen used to note 3/4 siblings in horses' pedigrees. Roberto had Royal Charger and Nasrullah 3x3 in his pedigree. Would it be correct to say that Roberto was inbred to those 3/4 brothers?

  • Scot's reply:  Great question!  Let's see... two parts.  First, I think it has reached the level of general acceptance to say that a horse is "inbred to full siblings."  I've seen those terms used even for, say, a horse that has Graustark and His Majesty in the fifth generation -- he would be "inbred 5 x 5 to the full brothers Graustark and His Majesty."  Technically, this hypothetical horse would be line-bred 6 x 6 to both Ribot and Flower Bowl but it's easy to see why the rule would be bent in the case of full siblings. ... The second part of your question is a bit tougher.  As an editor, I would tend to alter any reference to inbreeding to Royal Charger and Nasrullah, in your example.  But then I also admit some bias -- the use of "3/4 sibling" does not comply with Blood-Horse style.  We accept "1/2 sibling" and "full sibling" but no grey areas in between.  (Instead, you'll see references to a "similarly-bred half-brother" or a "family member bred on the same sire-line cross.")
For Big Red 31 Mar 2009 6:12 PM

I think I am ok on inbreeding. The one that confuses me is the Rasmussen factor - That is totally through the dam side - correct?

And the doubling up in 5 generations is through a sibling?

Very confusing.

  • Scot's reply:  Promise I'll start a discussion on this soon!  One of my favorite breeding theories -- and one reason for my mating choice for Salambria -- it yields an unusual 4-way Rasmussen Factor to Aspidistra.  (Well... technically, she herself is a 3-way RF and the Request for Parole foal will also be a 3-way... more on that soon.)
Annem 31 Mar 2009 7:45 PM

Scott,

It would be great if you could review the RF breeding theories, especially the double RF’s how to spot a double RF as opposed to both sire and dam having an RF (a few people I know have been confused by that, but Eddington is a prime example, as both his sire and dam have an RF, but he does not have a double RF). If you can find a triple RF, that would be great discussion too.  

Also, it would be good to have a discussion on the Formula One and Delta Patterns.

Thanks for mentioning these  interesting topics!

Laura R. 31 Mar 2009 10:40 PM

Hi Scot,

Neglected to add that I really enjoy your blog. You deserve a lot of credit, as your topics and later posts can prove quite helpful especially to those rather new to thoroughbred pedigrees. I hope The BloodHorse appreciates your efforts.

As far as our previous posts- I was certainly aware of what is proper pedigree notation, but felt that some of your explanation may be a bit ambiguous to those less informed. I ackowledge your point that it is "accepted" and "consistent", but would argue that it is not logically consistent (note my Secretariat/Bold Ruler inbreeding example). The rationale likely for our accepted notation is a desire not to appear superfluous. One wonders, though, if it was also caused by the assumption that one would always know the names of the parents that immediately preceeded (Secretariat-Bold Ruler). As you realize, this is often not the case. It's also ironic that with the advent of the computer printout our previously "accepted" notation may lose some of its share (witness what you had noted as a "mistake")...Small world this thoroughbred business-Yadda Yadda was among those I was recently asked to consider for Zakocity (email me separately if you're curious).  

sceptre 31 Mar 2009 11:47 PM

Scott, Would it be possible to list a source (book) that gives a good review of RF. I have several pedigree books but none cover the topic. I am in the process of getting my 1st broodmare and all of this is very helpful

  • Scot's reply:  Actually, how about two!
    1. The first and best is alas hard to find and expensive when you do locate a copy (expect prices of $250+) -- Inbreeding to Superior Females: Using the Rasmussen Factor to Produce Better Racehorses by Rommy Faversham and Leon Rasmussen. The author offers an online preview of the first chapter explaining "What is the Rasmussen Factor?" and you can also view the book's table of contents at the same site. 
    2. A second option is less detailed but has the added benefit of being a great introduction to multiple concepts in Thoroughbred breeding.  Racehorse Breeding Theories is edited by Frank Mitchell. Be careful when you buy this book -- make sure you have a free day to sit and read, because you won't want to put it down!  Amazon.com currently lets you read the first few pages of the Rasmussen chapter ("Female Family Inbreeding" is chapter 12 and starts on page 237).
4 certain 31 Mar 2009 11:54 PM

So Mafaaz is a 4-way Rasmussen Factor? How unusual is it? When I first looked at his pedigree, I thought I had never seen that before! Has anyone done a study on racing/breeding success of 3- or 4-way Rasmussen Factor horses?

  • Scot's reply:  Great example!  I'm going to try to dig up some data on "multiple RF" before I discuss the topic... if anyone out there has anything to share, please do so!
Karen 01 Apr 2009 1:29 AM

I am looking at Seattle Slew's linebreeding stats and it says '8 generation coefficient of inbreeding 1.920%.  What does that mean?

  • Scot's reply:  The COI measures the descent of genes through generations. The short answer is that most Thoroughbreds have a COI between 1.5 and 3.0%. A COI higher than 7.5% indicates an established pattern of inbreeding and is an undeniably significant influence on the horse possessing such a pedigree.   Wikipedia offers a simplistic review of the coefficient of relationship (not specific to Thoroughbreds). The Highflyer Thoroughbred Racehorse site has an excellent overview of the established (Wright) COI calculation in Thoroughbred breeding as well as a detailed review of the newer Hardiman calculation -- see the Coefficient of Inbreeding page.
Porfi 01 Apr 2009 8:49 AM

I have noticed Big Brown inbreeding 3sx3d to Northern Dancer, and can not help wonder if this was to close. I am a fan of 4sx4d to sires such as Northern Dancer, and Mr Prospetor, but would be cautious of inbreeding to Storm Bird or Storm Cat.

malarkeylane 01 Apr 2009 11:27 AM

TO SCOT: Thanks for your reply about 3/4 siblings. Taking the 3/4 and full sibling question slightly further, do you know if the Thoroughbred genome been fully mapped? If yes, are breeders starting to use genetic/DNA information in their mating considerations?

Request for Parole's coat color got me thinking about genetics. RFP, his sire and grandsire are all blacks, a comparatively rare color in Thoroughbreds. Yet it's been passed down from the horribly named Judge Smells to his son and grandson. I don't know what that means, if anything, but it's intriguing.

Also, I note that, although RFP is a tail-male descendant of In Reality, he's a complete outcross. Salambria has the multiple crosses of Intentionally (also a black), Aspidistra, and Rough n'Tumble which "reinforce" RFP's sire line. RFP, on the other hand, "reinforces" Salambria's tail-female line. (Using colloquialisms here.) Then the stallion and mare together add inbreeding to Secretariat to their potential foal's extremely interesting pedigree. Back to genetics, there's a lot of superior genes kicking around in that "stew." I hope the foal turns out to be something special. (Might have a slightly better than 50-50 chance of being a black.)

So grateful you shared your choice of Salambria's mating with us. Thank you.

  • Scot's reply:  Thanks for the nice comments.  I have a barn full of horses that all conform roughly to the description "bay with a star."  Would love to have a dark brown/black foal from this breeding, if only to be able to distinguish the foals from a distance!  I was disappointed when Judge TC was sold overseas, but thrilled when Request for Parole filled the sire-line gap!  ... As for the role of genetics in Thoroughbred breeding, I'm afraid the truth is our industry is way behind the times and in no apparent hurry to catch up.  Here's a good story (on a related topic) that's worth a read:  Why Was the Racehorse Eclipse So Good?
For Big Red 01 Apr 2009 1:32 PM

Karen,

After Mafaaz won, I had an interesting discussion with Lauren Stich regarding Mafaaz'a pedigree and this is what she had to say regarding the RF:

"Northern Dancer only counts as once, but he is inbred to Natalma three times -- Raise the Standard, ND and Spring Adieu.

However, that's not a double or triple RF, which is extremely rare. That occurs ONLY when a horse is inbred to TWO (or three) different mares. I've seen it when

Euros, especially, have this, say through Lalun (dam of Never Bend and Bold Reason) and Natalma (ND and his half-sisters) or Special. That combo of inbreeding is more commonplace in Europe because of the abundance of Sadler's Wells crossed with Kingmambo, etc."

Figuring out the RF concepts can be confusing. I know that when I first started studying pedigree theories the RF took me a while to figure out and I'm always learning something new.

Laura R 01 Apr 2009 2:29 PM

Many, many pedigrees are loaded with multiple Rasmussen Factors. It's merely about how far back you choose to go. Consider, as examples- Selene-dam of Hyperion, Pharamond II, Sickle, Hunter's Moon, All Moonshine (dam of Mossborough); Scappa Flow-dam of Fairway and Pharos; Lavendula-dam of Ambiorix, Source Sucree (dam of *Turn-To), Perfume (dam of *My Babu); Mumtaz Mahal-dam of, granddam of, etc.-*Nasrullah, *Mahmoud, Royal Charger, etc.; Lady Juror-dam of Fair Trial and Sansonnet (dam of *Turn-To); and then consider that Lady Josephine was dam of both Lady Juror and Mumtaz Mahal---just as some examples, and you'll see how easily pedigrees can possess multiple (2,3,4,5, etc.) Rasmussen Factors.  

sceptre 01 Apr 2009 11:22 PM

Sorry, I didn't complete my posting. The point I was attempting to make was that by definition a Rasmussen Factor must take place within 4 or 5 generations. The examples I offered would today most likely fall beyond that point. But multiple duplications of any individual RF could carry the same genetic significance as if it appeared within the first 4 or 5 generations. Ex.- a 6(s)x6(d)x6(s)x6(d) Selene would essentially equal a 5(s)x5(d) Selene.  

sceptre 01 Apr 2009 11:32 PM

Enjoyed this article, at some point would you write about hybrid vigor and how the crossing of unrelated inbred lines could influence TB breeding. Thanks

Michael D 02 Apr 2009 2:41 PM

In the old "Thoroughbred Record" days Nasrullah and Royal Charger were described as "3/4 brothers in blood".

Archer 02 Apr 2009 4:29 PM

Hi Scott loved your summary- thanks wasn't aware of the "S" and "s" type destinction.

In my patrt of the world we denote duplication by the sex of the duplicated horse's foal and from the top of the pedigree down with an "x" representing the change from sire to dam - so Salambria is inbred Intentianally 4m x 4f

and Aspidistra 5m,4f x 4f

and both inbreeding is said to be "sex balanced" ( at least 1 male of one side and one female on the other side of the pedigree) which I like to achieve.

Interestingly enough I have a mare with Intentially and Something Royal (through Sir Gaylord)  which I have been duplicating - in the last 2 matings.

Best of Luck with your 2010 foal I look forward to your next article.

BEM 02 Apr 2009 9:29 PM

Scot - Best of luck with Salambria.  She was one of the mares I was considering at the LA bred sale a year and half ago.  Interesting pedigree.

  • Scot's reply:  Thanks!  Small world....
Redbean 08 Apr 2009 1:14 AM

I do a lot of pedigree looking at for sporthorses.  One of the interesting things I think I have discovered is that TBs are stronger, better performers, and better producers if they have all of the three foundation sire lines within 5 generations (or 5+1 on top for dams).

In the sporthorse world, both Matchem and Herod are well known sources of the highly heritable "jump".  Since that's the case, I look for them close.

Am I imagining that this pattern might exist for racing TBs also?

vineyridge 08 Apr 2009 12:54 PM

An offering at the upcoming Keeneland yearling sale is inbred to the dam of A.P. Indy, which inspires a quick look at the Rasmussen Factor pattern of Thoroughbred inbreeding.

The Five-Cross Files 19 Aug 2009 2:46 PM

The Stallion Register Online boasts some new features that every Thoroughbred breeder and pedigree enthusiast will want to know about.

The Five-Cross Files 28 Aug 2009 11:20 AM

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