In geneaology and biology, however, it is calculated by a chain of births
4 generations:
baby
mom and dad
grandma and grandpa
greatgrandma and greatgrandpa
And for those of us in our senior years the greats could easily have been born before the Civil War. And that is about as far back as DNA testing is at all reliable and it gets pretty iffy even then. By the great greats, unless there has been no racial mingling, a Native American ancestor would be pretty undeterminable in the maze of all our complex DNA. Virtually everybody of European descent will test for some Native American heritage but for most of us it will be well under 1% though statistically more than what they came up with for Elizabeth Warren. Which makes her less Native American than most of us of European descent.
And we don't even know that for sure since the guy who tested her didn't have a Native American sample to compare so used samples from Mexico, Peru, and some other central or South American country--can't remember which. And even then she came in hugely under 1% for those matches.
Actually five geneitc segments were identified as Native American with a 99% probability "defined at the 99% posterior probability value".and described as "clearly distinct from segments of European ancestry (nominal p-value 7.4 x 10-7, corrected p-value of 2.6 x 10-4) and is strongly associated with Native American ancestry". That's directly from the report obviously.
As far as claiming such chromosomes can't be traced beyond great-greats, you'll have to argue with the experts whose job it is.
I don't have to argue with them since it was experts who informed me.
And who would these experts be?
Hmmm. Let's see. How about a cousin who teaches concepts of genetics, what we can learn from DNA etc. Biology teachers. Another cousin who is a PhD Professor of Anthropology at a prominent university who has written papers on the connection between DNA and then and now. And pretty much any authority you want to take the time to Google and read.
Now please cite who you consult to pooh pooh what these folks teach us.
OK.
Dr. Carlos D. Bustamante is an internationally recognized leader in the application of data science and genomics technology to problems in medicine, agriculture, and biology. He received his Ph.D. in Biology and MS in Statistics from Harvard University (2001), was on the faculty at Cornell University (2002-9), and was named a MacArthur Fellow in 2010. He is currently Professor of Biomedical Data Science, Genetics, and (by courtesy) Biology at Stanford University. Dr. Bustamante has a passion for building new academic units, non-profits, and companies to solve pressing scientific challenges. He is Founding Director of the Stanford Center for Computational, Evolutionary, and Human Genomics (CEHG) and Inaugural Chair of the Department of Biomedical Data Science. He is the Owner and President of CDB Consulting, LTD. and also a Director at Eden Roc Biotech, founder of Arc-Bio (formerly IdentifyGenomics and BigData Bio), and an SAB member of Imprimed, Etalon DX, and Digitalis Ventures among others.
References
1. 1000 Genomes Project Consortium. "An integrated map of genetic variation from 1,092 human genomes." Nature 491.7422 (2012): 56.
2. Alexander, David H., and Kenneth Lange. "Enhancements to the ADMIXTURE algorithm for individual ancestry estimation." BMC bioinformatics 12, no. 1 (2011): 246.
3. Gravel, Simon. "Population genetics models of local ancestry." Genetics (2012): genetics-112.
4. Huff, Chad, David Witherspoon, Tatum Simonson, Jinchuan Xing, Scott Watkins, Yuhua Zhang, Therese Tuohy et al. "Maximum-likelihood estimation of recent shared ancestry (ERSA)." Genome
research (2011): gr-115972.
5. Maples, B. K., Gravel, S., Kenny, E. E., & Bustamante, C. D. (2013). RFMix: a discriminative modeling approach for rapid and robust local-ancestry inference. The American Journal of Human Genetics, 93(2), 278-288.
6. Novembre, John, Toby Johnson, Katarzyna Bryc, Zoltán Kutalik, Adam R. Boyko, Adam Auton, Amit Indap et al. "Genes mirror geography within Europe." Nature 456, no. 7218 (2008): 98.
[1] 1000 Genomes Project Consortium. "An integrated map of genetic variation from 1,092 human genomes." Nature 491, no. 7422 (2012): 56.
[2] Reich, David, Nick Patterson, Desmond Campbell, Arti Tandon, Stéphane Mazieres, Nicolas Ray, Maria V. Parra et al. "Reconstructing native American population history." Nature 488, no. 7411 (2012): 370.
[3] Moreno-Estrada, Andrés, Simon Gravel, Fouad Zakharia, Jacob L. McCauley, Jake K. Byrnes, Christopher R. Gignoux, Patricia A. Ortiz-Tello, Ricardo J. Martínez, Dale J. Hedges, Richard W. Morris, Celeste Eng, Karla Sandoval, Suehelay Acevedo-Acevedo, Paul J. Norman, Zulay Layrisse, Peter Parham, Juan Carlos Martínez-Cruzado, Esteban González Burchard, Michael L. Cuccaro, Eden R. Martin , Carlos D. Bustamante. 2013. “Reconstructing the population genetic history of the Caribbean.” PLoS Genetics 9, no. 11 (2013): e1003925.