The initial increase of a new gene under positive assortative mating

Assortative mating for a metrical characteristic in Drosophila

“…The possibility of positive assortative mating developing along a dine has been discussed by O'Donald (1960) and Parsons (1962). A dine is in any case a form of disruptive selection, and may occur when different conditions of survival and reproduction occur at the opposite ends of the geographical range of a species.…”

“…There is suggestive evidence of positive assortative mating in a colour phase dine in the Arctic Skua (O'Donald, 1959). A more complete discussion of the likely effects of assortative mating in natural populations is given by O'Donald (1960) and Parsons (1962).…”

Analysis of some nonrandom mating models

“…He derived these results assuming a constant interparental correlation in successive generations. There have been later studies of simple patterns of mixed random and positive assortative mating (e.g., 0 'Donald, 1960;Parsons, 1962) and of negative assortative mating (e.g., Naylor, 1962;Workman, 1964;Karlin and Feldman, 1968a, b).…”

Owen's model of a genetical system with differential viability between sexes

“…Necessary and sufficient conditions for a new gene, arising in a population by migration or mutation, to increase in frequency and become established in that population have been derived and discussed for a variety of genetical systems by different writers (Bodmer and Parsons, 1960;Parsons, 1961a, b;Parsons, 1962;Mandel, 1963;Bodmer, 1965).…”