Genetic analysis of white facial and leg markings in the Swiss Franches-Montagnes Horse Breed

White markings and spotting patterns in animal species are thought to be a result of the domestication process. They often serve for the identification of individuals but sometimes are accompanied by complex pathological syndromes. In the Swiss Franches-Montagnes horse population, white markings increased vastly in size and occurrence during the past 30 years, although the breeding goal demands a horse with as little depigmented areas as possible. In order to improve selection and avoid more excessive depigmentation on the population level, we estimated population parameters and breeding values for white head and anterior and posterior leg markings. Heritabilities and genetic correlations for the traits were high (h(2) > 0.5). A strong positive correlation was found between the chestnut allele at the melanocortin-1-receptor gene locus and the extent of white markings. Segregation analysis revealed that our data fit best to a model including a polygenic effect and a biallelic locus with a dominant-recessive mode of inheritance. The recessive allele was found to be the white trait-increasing allele. Multilocus linkage disequilibrium analysis allowed the mapping of the putative major locus to a chromosomal region on ECA3q harboring the KIT gene.

The American Myth of Markets in Social Policy: Ideological Roots of Inequality

The American Myth of Markets in Social Policy examines how implementing American tropes in policy design inadvertently frustrates policy goals. It investigates multiple market-oriented designs including funding for private organizations to deliver public services, funding for individuals to buy services, and policies incentivizing or mandating private actors to provide social policy. The author shows that these solutions often not only fail to achieve social goals, but, in fact, actively undermine them, for example saddling the poor with debt or encouraging discrimination. The book carefully details the mechanisms through which this occurs, for example a mismatch between program goals and either contract terms or individual preferences. The author examines several policies in depth, covering universal social insurance programs like healthcare and pensions, as well as smaller interventions like programs for the homeless. The author builds the argument using detailed empirical evidence as well as anecdote, keeping the book accessible and entertaining.

Uniqueness of minimisers for a Grötzsch-Belinskiĭ type inequality in the Heisenberg group

The modulus method introduced by H. Grötzsch yields bounds for a mean distortion functional of quasiconformal maps between two annuli mapping the respective boundary components onto each other. P. P. Belinskiĭ studied these inequalities in the plane and identified the family of all minimisers. Beyond the Euclidean framework, a Grötzsch-Belinskiĭ-type inequality has been previously considered for quasiconformal maps between annuli in the Heisenberg group whose boundaries are Korányi spheres. In this note we show that--in contrast to the planar situation--the minimiser in this setting is essentially unique.