Generally in a group of individuals who have continuous fertilization from other families, the frequency of the gametes is regulated, as a matter of course, and consequently the frequency of zygotes is regulated throughout many generations, once the proportion of gametes has reached a certain point of equilibrium. But it is evident that so long as the frequency of gametes has not reached a state of equilibrium, changes take place according to the generation. It is appropriate, in my opinion, to consider that the frequency of the blood types in the gametes in the present generation is in a transition stage on the way toward a point of equilibrium.
If my hypothesis is adopted, the frequency of the four kinds of gametes can be calculated by the following formulae. The respective frequency is represented by ab......R, Ab......P, aB......Q, AB......Z.
R=√O
Z=1-√O+a+B+AB+× 2n+2/2n+3
P=1/2{√A+O-√O+1-(√B+O+1-√O+a+B+AB+× 2n+2/2n+3)}
Q=1/2{√B+O-√O+1-(√B+O+1-√O+a+B+AB+× 2n+2/2n+3)}
When the theoretical rate of distribution of the blood type of masses and the actual rate are compared by ealculating the frequency of the gametes after the priciple of each of the hypotheses above-mentioned, it can be seen that the numerical value obtained by my method fits the facts better than that obtained by other hypotheses. Moreover, when the frequency of each hereditary type is calculated from the frequency of the respective gametes, and the anticipated division among the children of the next generation is observed comparatively and statistically, entire agreement between the anticipated division and the actual fact can be found by my hypothesis and not by any other, in the case of coupling when the parents are of the O, A and B types. But in the case of coupling when the parents are of the AB type, 2 pair allelomorphism has, as shown in the following table, a qualitative agreement, but a marked quantitative disparity. If the hypothesis of 3-multiple allelomorphism is adopted, somewhat quantitative approximation can be shown, but the result is quite opposite qualitatively. When my hypothesis is adopted, however, complete harmony is recognized between theory and fact both quantitatively and qualitatively.

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The circumstantial conditions for discharge of the gametes, their subsequent attachment and for the development of zygote were examined in the laboratory.
1) The gametes which were discharged under conditions of 15-30°C of water temperature and 8-16 hours of light-period per day, were observed to show high rates of parthenogenetic germination in some circumstances.
2) The settled number of fused and unfused gametes was found abundant in waters of 20-25°C temperature and long-day light periods.
3) The zygotes were abundantly found in 20°C of water temperature under shortday light periods, especially within the first hour of the beginning of the day light-period.
4) In Chordariaceae to which the present species belongs the process of conjugation of the gametes has not been so far observed sufficiently, while it was observed in detail in the present experiment.
5) The development of zygote showed the discoid type. After about one month of attachment, the germlings grew into new erect sporophytes under adequate culture conditions.
6) The gametes which were germinated parthenogenetically developed into the discoid type, as in the development of zoospore from their unilocular sporangium, and formed plurilocular gametangia after 15-20 days of attachment.

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