[ 257 ] 
VI. Mathematical Contributions to the Theory of Evolution. —VI. Genetic [Reproduc¬ 
tive^) Selection: Inheritance of Fertility in Man, and of Fecundity in Thorough¬ 
bred Racehorses. 
By Kael Peaeson, F.R.S., Alice Lee, B.A., B.Sc., and Leslie Beamley-Mooee. 
Received Novembei’ 14,—Read December 8, 1898. 
Contents. 
PAGE 
Introductory. 2-58 
Part I.— Theory of Genetic (Reproductive) Selection. 
(1) Proposition I.—On the inheritance of characters not directly measni’a.ble . 260 
(2) Proposition II.—Determination of the changes in mean, variability and 
correlation of characters when fertility is inherited. 261 
(3) Conclusions to be drawn from previous discussion on fertility. 267 
(4) Proposition III.—Extension of results to problem of fecundity .... 269 
(5) Proposition IV.—Correlation between kindred deduced from the means and 
variability of arra 3 'S of kindred. 271 
(6) Proposition V.—Measure of the effect of mingling nncorrelatcd with corre¬ 
lated material. 274 
(7) Proposition VI.— On the spurious correlation produced b}' forming a 
mixtui’e of heterogeneous but uncorrelatecl materials. 277 
Pai’t II.'— On the Inheritance of Fertility in Mankind. 
(8) Factors and difficulties of the problem. 279 
(9) On the inheritance of fertility in Woman through the Female Line . . . 280 
(10) On the inheritance of fertiliiy in Man through the Male Line. 286 
(11) On the inherilance of fertility in Woman through the Male Ijine .... 288 
Part III.— On the Inheritance of Fecundity in Thoroughhred Brood-mares. 
(13) Factors and difficulties of the problem and method of treatment .... 290 
(14) Enumeration of sources of fictitious fecundity. . . 298 
(15) Effect of in-breeding. 299 
(16) On the inheritance of fecundity in Diood-inares in the Female Line . . . 300 
Preliminary investigation of the correlation between fecundity and 
apparent fertility. 301 
(17) On the inheritance of fecundity in Brood-mares through the Male Line . 308 
Correlation between patent fecuirdity of the mare and the transmitted 
or latent fecundity of the sire. 311 
(18) Conclusions, as to the influence of genetic (reproductive) selection on 
evolution. ... 314 
Correlation tables of the data used in the investigations of this memoir 316 
* The name Reproductive Selection is retained here, although objection has been taken to it, because 
it has been used in other memoirs of this series I owe Genetic Selection to Mr. F. Galton. 
VOL. CXCTI.—A. 2 L 29.3 
