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David H Hamilton

Publications and source records attributed to David H Hamilton.

3 recordsLinked to original sources

An Accurate Genetic Clock

Our method for \"Time to most recent common ancestor\" TMRCA of genetic trees for the first time deals with natural selection by apriori mathematics and not as a random factor. Bioprocesses such as \"kin selection\" generate a few overrepresented \"singular lineages\" while almost all other lineages terminate. This non-uniform branching gives greatly exaggerated TMRCA with current methods. Thus we introduce an inhomogenous stochastic process which will detect singular lineages by asymmetries, whose \"reduction\" then gives true TMRCA. This gives a new phylogenetic method for computing mutation rates, with results similar to \"pedigree\" (meiosis) data. Despite these low rates, reduction implies younger TMRCA, with smaller errors. We establish accuracy by a comparison across a wide range of time, indeed this is only y-clock giving consistent results for 500-15,000 ybp. In particular we show that the dominant European Y-haplotypes R1a1a & R1b1a2, expand from c4000BC, not reaching Anatolia before c3800BC. This contradicts previous clocks dating R1b1a2 to either the Neolithic Near East or Paleo-Europe. However our dates match R1a1a & R1b1a2 found in Yamnaya cemetaries of c3300BC by Nielsen et al (2015), Paabo et al(2015), together proving R1a1a & R1b1a2 originates in the Russian Steppes.

Genetics

An accurate genetic clock

Our method for \"Time to most recent common ancestor\" TMRCA of genetic trees for the first time deals with natural selection by apriori mathematics and not as a random factor. Bioprocesses such as \"kin selection\" generate a few overrepresented \"singular lineages\" while almost all other lineages terminate. This non-uniform branching gives greatly exaggerated TMRCA with current methods. Thus we introduce an inhomogenous stochastic process which will detect singular lineages by asymmetries, whose \"reduction\" then gives true TMRCA. Reduction implies younger TMRCA, with smaller errors. This gives a new phylogenetic method for computing mutation rates, with results similar to \"pedigree\" (meiosis) data. Despite these low rates, reduction implies younger TMRCA, with smaller errors. We establish accuracy by a comparison across a wide range of time, indeed this is only y-clock giving consistent results for 500-15,000 ybp. In particular we show that the dominant European y-haplotypes R1a1a & R1b1a2, expand from c3700BC, not reaching Anatolia before c3300BC. This contradicts current clocks dating R1b1a2 to either the Neolithic Near East or Paleo-Europe. However our dates match R1a1a & R1b1a2 found in Yamnaya cemetaries of c3300BC by Svante Paabo et al, together proving R1a1a & R1b1a2 originates in the Russian Steppes.

Genetics

An accurate genetic clock

Molecular clocks give \"Time to most recent common ancestor\" TMRCA of genetic trees. By Watson-Galton17 most lineages terminate, with a few overrepresented singular lineages generated by W. Hamiltons \"kin selection\"13. Applying current methods to this non-uniform branching produces greatly exaggerated TMRCA. We introduce an inhomogenous stochastic process which detects singular lineages by asymmetries, whose reduction gives true TMRCA. This implies a new method for computing mutation rates. Despite low rates similar to mitosis data, reduction implies younger TMRCA, with smaller errors. We establish accuracy by a comparison across a wide range of time, indeed this is only clock giving consistent results for both short and long term times. In particular we show that the dominant European y-haplotypes R1a1a & R1b1a2, expand from c3700BC, not reaching Anatolia before c3300BC. While this contradicts current clocks which date R1b1a2 to either the Neolithic Near East4 or Paleo-Europe20, our dates support recent genetic analysis of ancient skeletons by Reich23.

Genetics