Dichogamy involves the maturation, by an individual plant, of male and female organs at different times. Protandry refers to the shedding of pollen prior to stigma receptivity and protogyny the reverse sequence. Both are widespread among flowering plants, with several entire families characterized by one system or the other (Knuth, 1906). The mating system of walnuts, members of the genus Juglans, exhibits a phenotypic dimorphism of protandrous and protogynous mating types. Knuth (1906, following Loew, 1895) has classified such a system as heterodichogamy. This paper presents data on the details of the flowering patterns of the mating types in walnuts, their observed frequencies, and their mode of inheritance. A genetic model is developed to predict equilibrium frequencies based on the mode of inheritance and flowering pattern. The taxonomic distribution of heterodichogamy is reviewed. This paper is concerned with heterodichogamy in two species of walnut, Juglans regia L., the cultivated English (or Persian) walnut, and J. hindsii Jeps., the northern California black walnut. Walnuts are monoecious, wind-pollinated, deciduous trees. All studies indicate that walnuts are entirely self-compatible (see Funk, 1970 for a review). Flowering time in walnuts is highly heritable (Hansche et al., 1972). If one assumes a common basis for heterodichogamy in the genus Juglans, the results from these two species can be combined into a reasonably clear and sim-
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