Mathematical contributions to the theory of evolution. IX.—On the principle of homotyposis and its relation to heredity, to the variability of the individual, and to that of the race. Part I.—homotyposis in the vegetable kingdom

(1.) If we take two offspring from the same parental pair, we find a certain diversity and a certain degree of resemblance. In the theory of heredity we speak of the degree of resemblance as the fraternal correlation, while the intensity of the diversity is measured by the standard deviation of the array of offspring due to given parents. Both correlation and standard deviation are determined for any given character or organ by perfectly definite well-known statistical methods. Passing from the case of bi-parental to asexual reproduction, we may still determine the correlation and variability of the offspring.