2.3) The mtDNA match with Maucher is not so special. 40 of a random 1,000 people share the same mtDNA sequence.
Wrong. Here is a complete explaination by Dave K., who studied DNA:
It's not only mtDNA. How many people do you think there were who fit the description: a girl who looked like Anna Anderson, same age, same hair/eye color, who disappeared in a same time when AA appeared in the same region!! You have to take that into account by Bayesian inference (the court of law requires forensic scientists to use Bayesian). Here is a calculation. Come to think of it, I will also post the population genetics paper cited in this calculation.
Question: Is the random match probability of AA’s DNA really 1/300?
Some AA proponents assert that AA’s specific mtDNA type is very common type, therefore a match between AA and FS is just by accident. However, this argument is fundamentally flawed. If so, why don’t they just show the data of someone who has same mtDNA? There are more than dozens populaiton genetics papers that you can check very easily. They can’t, because their claim is not true.
Before showing the evidence, let's to point out that the probability 1/300 reported in Peter Gill’s study in 1995 was outdated. Gill “guessed” the number from statistical average because he didn’t find AA’s mtDNA type in database available in 1995. Therefore, any unknown mtDNA in 1995 was estimated as “1/300” temporally, even if its actual probability is 1/5000 or 1/100,000 (!).
To get more accurate estimate, I checked all mtDNA (HVI) database available to me that contained 8,902 sequences of European Caucasian including US Caucasian, British, French, German, Italian, Spanish, Polish, Russian, Hungarian, Austrian, Dutch, Norwegian, Swedish, Ashkenazic Jewish, Belgian, Icelandic, Austrian, Bulgarian, Portuguese and so on. I also checked African and Asian population just in case. Most convenient sources are major human genetics journals such as Annals of Human Genetics and American Journal of Human Genetics (especially Annals of Human Genetics vol 67 (2003), p281 was helpful). Also computerized database were used, such as NCBI GenBank, European Molecular Biology Laboratory (EMBL), and US Department of Justice FBI CODIS database.
The reason why I investigated different regions separately was to see “population structure” due to ethnic subgroup, but prevalence of Tara clan was 10 +/- 2% in all countries in Europe, which indicates there is no siginificant structure (also see Science Vol 254 p1735). I’ll discuss this issue in Question 3.
TABLE 4 (Some examples of European mtDNA (HVI) studies)
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French (total = 109)
9 person has the most common type: CRS (no mutation)
Almost all other 93 person has a unique mtDNA (does not share mtDNA each other).
No one has AA’s mtDNA (16126C, 16266T, 16294T, 16304C)
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Autstrian (total = 101)
9 person has the most common type: CRS (no mutation)
Almost all other 80 person has a unique mtDNA (does not share mtDNA each other).
No one has AA’s mtDNA
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British (total = 100)
12 person has the most common type: CRS (no mutation)
No one has AA’s mtDNA
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Russians and Ukrainians (total = 201)
22 person has the most common type: CRS (no mutation)
No one has AA’s mtDNA
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Polish (total = 436)
67 person has the most common type: CRS (no mutation)
No one has AA’s mtDNA
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US Caucasians total = 323
61 person has the most common type: CRS (no mutation)
No one has AA’s mtDNA
In all regions, by far the most common mtDNA haplotype (HVI) is CRS (Cambridge Reference sequence). About 10% of population in any country (except US) has this sequence (almost same prevalence as AB blood type), i.e. about 65 million European has an exactly same mtDNA sequence (at HVI). There is no known reason why this specific type is so prevalent. It seems just stochastic genetic drift event. A friend of mine jokes this mtDNA type is related to “beauty phenotype” expressed in their daughters, but I don’t think it’s true. (By the way, this CRS sequence itself from a British woman whose identity kept secret for some reason since 1981. A rumor goes that it was a researcher’s wife’s mtDNA.)
However, this CRS mtDNA is an exception. Almost all other mtDNA type is rare, usually less than 1%. For example, I checked Tsarina’s mtDNA type 16111T/16357C. There was 0 in database of 8902 caucasians. Tsar’s mtDNA was also rare, 0 out of 8902. And Anna Anderson’s mtDNA had
1 in 8902 (1 found in Iceland study). therefore the
random match probability is 1/8902 = 0.01%: about 30 times rarer than the original Peter Gill’s estimate (1/300).
So, can I conclude from this DNA evidence alone? Not so fast. I think many people confuse DNA’s random match probability, likelihood ratio, with Posterior Odds. To discuss if AA is FS, we have to discuss posterior odds.
Bayesian inference is the logical/mathematical framework to interpret the combined probability of independent event. Forensic science in both US and UK are always interepreted in a logical sturucture of Bayesian inference. In the court, forensic exprert are instructed by judge to testify only regarding to “DNA random match probability” or “likelihood ratio”, but what really concern jury is the posterior odds. Here I try to be a jury rather than a DNA expert.
O (posterior) = O (prior) * DNA likelihood ratio
Roughly speaking, if two person’s sex, age, physical feature including height, hair color, face feature, prior odds are 1:10. Considering FS has been missing at almost exactly same time at same geological area as AA appeared, even conservative odds brings this to 1:100. DNA random probability is a simply inverse of likelihood ratio in this case, so my calculation shows:
O (posterior) = 1/100 x 1/9000 = 1/900,000 (that is to say, probability that AA is FS is 99.9999%)
As “reasonable doubt” is generally considered O(posterior)(threshold)
=1/10,000, it is reasonable to accept hypothesis that “AA is FS”.
Therefore, with overwhelming evidential support and lack of alternative scenario, I support the hypothesis that AA= FS.
Anna Anderson was FS = 99.9999%
Anna Anderson was Anastasia = 0.00000000 (add 80 of zero here)0001% *
FS was murdered by Grossmann = 0.00001%
FS was murdered by other murderers = 0.00002%
FS was killed by accident = 0.00002%
FS was living peacefully under other pseudonym = 0.00004%
FS was kidnapped by foreign intelligence agency such as KGB = 0.00001%
FS didn’t exist from beginning, she was a fiction by her family= 0.000001%