I'd like to start off with a number of questions that Randy Bass of Moonlight Alpacas asked, as well as the responses I gave in an e-mail. Later, I hope to make some "how-to" videos using some cool technology I just discovered.
Meanwhile, if you have responses to this blog...either some new questions or comments, or something related to this particular posting, then please feel free to join in. This is the first real blog I've ever had, so, if there are some technical difficulties, please bear with me, and I'm sure we'll make this into a helpful and fun resource for all of us as we try to improve our herds.
Here goes...
DOUG: Great question! In a perfect world, the accuracy on an EPD for an alpaca (let's call her "Alpaca A") would be 100% (1.0). If it were, then the interpretation would be: Whenever Alpaca A has an offspring, the measurement (be it Average Fiber Diameter, Standard Deviation of Fiber Diameter, etc.) of the offspring is ***ALWAYS*** "X" amount less (or more) than the national average (NA) for the national herd. For example, if Alpaca A's EPD for Average Fiber Diameter (AFD) is -0.1 and the accuracy on her AFD EPD is 1.0, then ***GUARANTEED***, the offspring ***WILL*** have an AFD that is 0.1 microns less than the national average...NO MATTER WHO SHE IS BRED TO.DougI have another questions to add, you may have gone over.When looking at the EPD's for consideration of breeding a pair, is it the sum of the two. Does one animal maybe more dominate have a bigger influence. Do we look at the accuracy to determine.
So, already you can see the answer to some of your questions. The higher the accuracy, the more the confidence, but it's not perfect, because the accuracy is never 1.0. You can breed a given male and female repeatedly, and the AFD of the offspring will be different. That's because the AFD of the offspring is not 100% heritable (there is variation from year to year, even with the same mating, due to other factors, both known and unknown).
But, more to the point of what you are asking, yes, the higher the accuracy, the higher our confidence that we can predict the quality of the offspring. But, the accuracy is a mixed bag. An accuracy can be low not only because the alpaca does not dominate perfectly, but also because of a lack of data...and, this is important...the statistics, as presented on the ARI site for Alpaca A, don't differentiate as to the reason why the accuracy is low (or high). The reason ARI doesn't differentiate is because, by the nature of the analysis, they don't know, for an individual alpaca, how much of the accuracy is due to dominance (OF THAT ALPACA), and how much of it is due to a lack of data. (ARI does have statistics on how heritable a characteristic is IN GENERAL, however.)
Here is another example: Suppose Alpaca A has PLENTY of offspring, and all her offspring have had multiple fleece samples sent in to Yocum-McColl, and that data has gone into the EPD calculation. But, suppose Alpaca A was bred to a different male every year. What if the offspring's AFD was ALWAYS similar to what the male had, every time, and never the same as her? If that was the case, then the accuracy for Alpaca A's EPDs would be low, NOT because the amount of data is low, but because the measurements of her offspring are all over the map. She does not dominate. Likewise, suppose she bred to the same male every year, but the measurements were still all over the map. Again, her accuracy would be low, and she does not pass on her attributes to her offspring with any kind of consistency. But, suppose her offspring have very consistent measurements...as reliable as clockwork, whether she is bred to the same male every year or not. Then she will have a high accuracy, because she dominates for that characteristic, but it is unlikely that it would be 100% (1.0).
GENERALLY SPEAKING, the higher the accuracy, the more that alpaca will dominate for a particular measurement. However, that's not always true, because, remember, just because a male she breeds to has a low accuracy, that low accuracy may be because of a lack of data, not because he fails to dominate.
How about the animals that don't have EPDs, and you find relatives that do can we use the sum of the dam and sire? I know the accuracy is a factor however if you have that animal that you believe to have potential how do you come to a conclusion to use the animal and what is the match.
DOUG: Another great question! The short answer is, if your alpaca doesn't have an accurate EPD (presumably, at this point in time, because of a lack of data), then there is no way to squeeze any additional information, or to intuit an EPD, for the offspring. Why? Because it is precisely the "squeezing of information" or "intuiting an EPD" that ARI's EPD calculation does. In other words, if an EPD could be "forcasted" based on relatives, then the ARI system would PROVIDE you a forcasted EPD, with a calculated accuracy. The fact that there is no EPD for Alpaca A means, despite the EPDs of all its relatives, a reasonably reliable EPD for Alpaca A cannot be derived.
The reason I can say this with confidence is that the very procedure you are trying to use ***IS*** the procedure that ARI uses. They take into account the parents, grandparents, aunts, uncles, children, grandchildren, nieces and nephews to derive the EPD. If, after the ARI system considers all of this, a reasonably accurate EPD cannot be derived, then there is no other way to determine the EPD with reasonable accuracy, using the math models in the system.
If you were looking at breeding to a sire off your ranch and paying for a breeding would you ask for the EPDs.
DOUG: YOU BET!! Now, I would hasten to say, there are non-fleece characteristics that come into play, as well as other fleece characteristics, that are also important. Non-fleece characteristics include, obviously, conformation issues, as well as milking ability, color of fleece, etc. Other fleece characteristics include luster, and, I would also say, density. Some would say that the EPDs, which, when used in the right combination, can tell you what kind of density to expect, and that is true. But, there is no substitute for measuring density directly (through a skin biopsy), and an EPD using a skin biopsy is not in the system today.
So, yes, I would consider EPDs, but it's not the whole picture.
We need more ranches to release their EPDs.
DOUG: Amen! Preach it, brother! Talk it up to other breeders. They may have reasons why they are not releasing them, which is fine. But, if it is a result of unawareness of the system, then we, each of us, need to talk to them and get them to make their EPDs public.
That said, if someone has not made their EPDs public, you can still ask them to privately look at their male using their own account and have them produce a PDF file of their EPDs. If you want more info on how to do that, let me know.
I have answered some of the questions and will work on the others.6. Yes the accuracy is a percent even know they print it in hundredths and the column is in percents.
DOUG: Yes, it is a percent, but a percent of what? That is a large topic that I will be discussing at the next meeting.
DOUG: I'm not sure I understand what you are saying. Yes, a given alpaca's EPD could change from year to year, as more data are entered into the system. However, you can't just change the National Average to adjust for that change, because one alpaca's EPD may have gone up by 0.1 microns, but another one's may have gone up 0.2 microns. One change to the national average can't account for the variation of all the alpacas that have EPDs.8. The national average is the actual value, and therefore zero would mean that the would have to recalculate all animals every time the NA changed to reflect how a particular animals standings are. As the NA changes up or down the individual animal remains the same, however the accuracy of that animal could change.
ARI DOES recalculate the EPDs every year for every alpaca. The individual alpacas' EPDs don't remain exactly the same year to year, as a rule.
Again, I might not be understanding what you are saying, and if I don't, I apologize.
Has anyone else found out more information about this?
Luster is a characteristic than can be controlled to some extent by diet and environment so to rate this would not be rating the animal so much as the management of the ranch.
DOUG: Agreed. Luster can be controlled ***to some extent*** by diet. So can average fiber diameter, the standard deviation of average fiber diameter, and, perhaps all of the attributes. But, there is still a considerable extent by which luster (and the other attributes) is heritable. Sure, nothing is 100% due to heritability (except perhaps fleece color, eye color, and things like that), but, with our breeding decisions, we are trying to control the heritability part of the equation.
I would say that luster is reasonably heritable, so therefore I believe it is a worthy goal to try to develop a luster EPD. Anyone else have any thoughts?
That is what I've come up with so far I'm very interested in your answers for all the questions. If I get more I'll let you know.This is great that you are doing this I only wish I was 300 miles closer.
DOUG: Well....if you'd like, we could get you in on a speakerphone for the meeting. Sometimes that's a little difficult, not being in person. But, let us know, and we'll see what we can do!
Thank you for keeping me in the loop.
DOUG: And thank YOU for your participation!
Here is a question for you to ponder. I have 2 alpacas, both have the same sire and dam. 1 of the alpacas has EPDs while the other does not. Both have had 2 samples sent, neither of the 2 have been bred as of yet. The one that has the EPD I would like to think the other would be the same. I was told that it was due to the accuracy, however it's expected not given and neither have offspring.
ReplyDeleteHi Randy, and thanks for a good question! I think it is reasonable to believe that the full siblings have the same ability to produce. However, just remember that there IS an explanation as to why one would have EPDs and the other would not. Think it through with me here. Remember that the process of coming up with the EPDs is called the Best Linear Unbiased Predictor, or BLUP. (When I was in school we called it the Best Linear Unbiased Estimator, or BLUE. I like that term better, if for no other reason than that the acronym BLUE is easier to remember than BLUP. It is a similar concept.) The fact that the end result...the EPDs...are Predictors (or Estimators) of future performance should be self-explanatory. So, that's where the "E" in Blue or the "P" in BLUP comes from.
DeleteLet's put off the meaning of "Best" and "Unbiased" for another day.
Now, what about the "L?" What is there about the EPDs that makes it "Linear?" What makes it linear (meaning, like a straight line), is that the math model attempts to find a straight-line trend from, say, grandparents, to parents, to the alpaca itself, to the children, to the grandchildren. (Also, if you can somehow visualize four- or five-dimensional space, it also looks at aunts, uncles, and siblings to derive the trend. But, for now, it is simpler to just visualize the trend from grandparents, parents, the alpaca itself, children, and grandchildren.)
So, the concept behind EPDs is, "Let's see if there is a RELIABLE trend among all these relationships, such that we can, so to speak, 'see where this alpaca is headed,' as far as its offspring."
That reliability is expressed as the accuracy of the EPDs.
You have discovered that, for two full siblings, neither of which has had any offspring, one of them has EPDs (meaning, the EPDs have a great enough accuracy that ARI produces those EPDs), and the other one does not (meaning, the EPDs for that sibling are not accurate enough to have the EPDs available).
How could this be?
Well, one possible answer lies in the fact that you said that you sent in two samples for each of these full siblings. The fact that you sent in those samples means that the samples play a part in the EPDs for each full sibling. Those samples form a part of the "line" from grandparents to parents to the alpaca itself, and so forth. For one of those siblings, the BLUE model says, "Yes, this alpaca's numbers seem to line up in a reliable manner, such that we can see where the quality of the offspring is likely to be headed" whereas, for the other sibling, the BLUE model says, "No, based on the data, this alpaca's numbers do NOT seem to line up in a manner that makes us think we can make a reliable prediction as to where the quality is headed."
If you had not sent in ANY samples for either one, and one of them had EPDs and the other one would not, THEN we would have a more difficult situation to explain. But, since you did send in samples for both of them (and, presumably, the histograms, year by year, were not identical for the siblings), then we DO have at least a POSSIBLE explanation as to why we would have enough accuracy for one sibling, but not the other.
The reason is, the samples for one alpaca yielded numbers that seem to "fit" in the linear model in a manner that seems to indicate a reliable trend, whereas the samples for the other alpaca yielded numbers that do NOT seem to "fit" in a reliable linear trend.
Note, that, because of all the descriptive factors that go into the model (that is, not just the performance data determined by Yocom-McCall, but also things like gender, the year that the sample was taken, and perhaps a whole host of other things), there would STILL be an explanation as to why one full sibling would have EPDs and the other would not, even if you had sent in NO samples for either one.
(TO BE CONTINUED)
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DeleteSo, here is the big, practical point that I would emphasize: Is it reasonable to just assume that one full sibling's EPDs would be like the other's? Yes, it is reasonable. However, is it correct? The answer is no, it is not actually correct to say, with confidence, that both of the full siblings have the same ability to produce offspring. Why? Because the samples you sent in are pointing to a different conclusion.
In other words, the math model has already "thought" about your conjecture. It evaluated it, and came to the conclusion that it was NOT reasonable to assume that the EPDs were the same.
And, I would ask...is this not what we see in real life? When you have two full siblings, do they always seem to produce the same quality offspring? Maybe yes, but, definitely, we know of cases where the answer is, "No." The fact that there can be real differences in the ability of full siblings to produce high-quality offspring is evidence that we cannot arbitrarily assume that they have equal ability to produce quality offspring.
Now, for your breeding program, you can still assume that the full siblings are of equal breeding value...The EPD program isn't saying that one full sibling is better than the other...It's just saying that it can't make any conclusions yet.
Remember that the EPDs are not telling you with 100% confidence what you WILL get from a breeding. They are telling you only what is reasonable to expect. So, even for the sibling with published EPDs, we still cannot say for sure what it will produce with each mating. And that's also certainly true of the one without published EPDs.
So, if you really want to know which one is better, breed both of them using a wide range of quality matings, and see what you get.
That's a long answer to a short question. I hope it makes sense, and I hope it helps. Thanks again for a good question.