Reflections on assortative mating, social stratification, and genetics.

A recent report by G. Clark points to a sustained persistence of social status in England that extends vertically across several generations and horizontally across many levels of kinship. We seek to put his findings in historical perspective. We do so by relating them to two lines of thinking related to biological inheritance. One predated the rediscovery of Mendel's work and led to the field of quantitative genetics, which dealt on the whole with quasi-continuously varying traits. The other is based on the rediscovery itself and led to a reconciliation between quantitative genetics and discrete Mendelian elements of heredity. Both were enmeshed with the supposed need for, and societal consequences of, eugenics and assortative mating. Also on both issues, the significant ideas can be traced to R. A. Fisher, inspired in one case by F. Galton and in the other by J. A. Cobb, with strong support for Galton and Cobb coming from Karl Pearson. Clark's findings point to societal stratification, and assortative mating for wealth is a straightforward hypothesis to account for it. However, it should be noted that the findings support, but do not prove, the hypothesis.

Fisher in Adelaide.

R. A. Fisher spent much of his final 3 years of life in Adelaide. It was a congenial place to live and work, and he was much in demand as a speaker, in Australia and overseas. It was, however, a difficult time for him because of the sustained criticism of fiducial inference from the early 1950s onwards. The article discusses some of Fisher's work on inference from an Adelaide perspective. It also considers some of the successes arising from this time, in the statistics of field experimentation and in evolutionary genetics. A few personal recollections of Fisher as houseguest are provided. This article is the text of a article presented on August 31, 2012 at the 26th International Biometric Conference, Kobe, Japan.

Early research on human genetics using the twin method: who really invented the method?

The twin method consists of a formal comparison between the resemblance between identical (monozygotic, MZ) twins and the resemblance between fraternal (dizygotic, DZ) twins for some trait of interest. It was developed between 1900 and about 1940, as more accurate tools for diagnosis of zygosity and for statistically analyzing the resemblance between relatives were built. Its early use was in the demonstration that a trait was inherited or that part of the causation of a trait was genetical, but it has now evolved to the point that twin registries constitute an important resource for the identification of specific genes and their interactions both with other genes and with the internal and external environment. Who really invented the method is still an unsettled question, which this article explores.

A century of Hardy-Weinberg equilibrium.

Hardy-Weinberg equilibrium (HWE) is the state of the genotypic frequency of two alleles of one autosomal gene locus after one discrete generation of random mating in an indefinitely large population: if the alleles are A and a with frequencies p and q(=1-p), then the equilibrium gene frequencies are simply p and q and the equilibrium genotypic frequencies for AA, Aa and aa are p2, 2pq and q2. It was independently identified in 1908 by G. H. Hardy and W. Weinberg after earlier attempts by W. E. Castle and K. Pearson. Weinberg, well known for pioneering studies of twins, made many important contributions to genetics, especially human genetics. Existence of this equilibrium provides a reference point against which the effects of selection, linkage, mutation, inbreeding and chance can be detected and estimated. Its discovery marked the initiation of population genetics.

The rise and fall of the common disease-common variant (CD-CV) hypothesis: how the sickle cell disease paradigm led us all astray (or did it?).

The common disease-common variant (CD-CV) hypothesis requires an explanation for the origin of the variation observed, since substantial neutral, but not deleterious, variation, that is, several alleles each at moderate to high frequency, can be maintained at any gene/locus by mutation. It is argued here that the guiding principle, not always stated, has been balancing selection, influenced by the well-established cases of deleterious alleles maintained through heterozygous advantage in the face of strong malarial selection against normal alleles. It is further argued that, although balanced polymorphisms have indeed arisen and reduced population loss through infectious disease, the history of balance in other contexts should have prevented acceptance of any hypothesis that generalized such a specific mechanism. Finally, it is suggested that in the present state of knowledge no single hypothesis for the genetical contribution to common disorders is justifiable.