68 The Presidential Address. venture to say that there are many extreme specialists, even within the pale of science, who have but a vague idea of the extremely important influence which this hypothesis has upon their studies. On such an occasion as the present, when, after recording our deep sense of gratitude to the man who so nobly dedicated his life to the advancement of know- ledge, it becomes my duty to direct your attention to his works, I think that I cannot do better than occupy your time by recapitulating the main points in the theory of the origin of species. Starting with the simple calculation showing the rate of increase of any species as deduced from the number of young produced at a birth, and comparing this with the actual number of individuals at present existing, we find that an immensely greater number of young must be produced than ever survive. Thus, in the case of the elephant, which "is reckoned the slowest breeder of all known animals," it is seen that a single pair, supposing their offspring to survive and to breed at the rate of six during a lifetime of a century, would in the course of 740 to 750 years have given rise to nearly nineteen million elephants living at the end of that period.2 Similarly with birds, if we allow that one pair produce four young ones per annum and breed but four times during their life, in fifteen years this pair will have increased to more than two thousand millions.3 Some in- structive data have been quite recently given by Mr. P. L. Simmonds4 with reference to the rabbit in Australia and New Zealand, where this animal has become a perfect pest within a period of twenty years since its first introduction. "From New Zealand alone eight and a half millions of rabbit-skins were exported in 1880, but this does not probably represent one-tenth part of those actually destroyed. In that climate the rabbit breeds nearly every month in the year. But even supposing that a pair of rabbits do not breed 2 'Origin of Species,' 6th ed., p. 51. 3 A. R. Wallace's 'Contributions to the Theory of Natural Selection,' p. 29. 4 Journ. Soe. Arts, Dec. 22nd, 1882, p. 99.