Ernest Warren 
139 
(8) Inheritance. Correlation between Parent and Offspring. 
The question now to be discussed is how far peculiarities in the parent are 
transmitted to the offspring and succeeding generation in parthenogenesis. In 
Tables VI. to XI. (placed at the end of the present paper) are given the correla- 
tion tables for the absolute measurements and the ratio. 
S {xy) 
The coefficients of correlation (r) were calculated from the formula r= , 
^ ^ na^a^ 
where and are the standard deviations of parent and offspring respectively ; 
and the coefficients of regression of offspring on mothers ='>'~- the accom- 
panying table the various results are tabulated together with their probable 
errors. 
TABLE XII. 
Parents and Olispriug 
(368) 
Grandparents and 
Grandchildren ('291) 
Genus 
Dimension 
Coefficient 
of 
Correlation 
Coefficient 
of 
Kegression 
Coefficient 
of 
Correlation 
Coefficient 
of 
Eegression 
Frontal Breadth (.15) 
-.3354 
±0312 
•3592 
± ^0355 
•3208 
± 0355 
•2685 
±•0314 
Hyalo- 
pterus 
Length of R. Antenna {CB) 
■4273 
±•0287 
•5065 
± -0377 
•1766 
± •0383 
•1919 
±•0244 
•4392 
±•0284 
•5385 
±•0387 
•2305 
± ^0374 
•2952 
±•0493 
Daphnia 
Ratio ■'-'®"Sth of Protopodite 
Length of body 
•466* 
±•054 
•619 
± -0809 
[•27±^12t 
•5±^2] 
Mean of Coefficients 
•41 
•50 
•24 
•25 
To this table are also added the results obtained from Daphnia. The means of 
the correlation between parents and the second and third generations are respec- 
tively '41 and '24 ; the grandpareutal correlation for Daphnia has been omitted, 
since the probable error is so very large. 
Such correlation, and especially that of the grandpareutal, is distinctly too 
high for Galton's Law for sexual inheritance in its simple form, and the question 
arises whether inheritance is stronger in parthenogenetic than in sexual reproduc- 
* 96 young, 23 mothers. t 26 young, 7 grandparents. 
10—2 
