166 John B. Calhoun 



In terms of home range the aS'^'^ function in Eq. (117) may be ignored, 

 which means that: 



l^/27rc72 = 1.0 (118) 



For this relationship to maintain in the face of reduced v for beta and 

 gamma individuals, a must correspondingly decrease, such that 



a = (y/27r)i/2 (119) 



Since 2t is a constant we may ignore it for the purpose of determining 



Table XVIII 

 Relative Home Ranges of Constellation Members 



Constellation 



member d-Genotype N-, v (Eq. (lOS)) <ts (Eq. (120)) 



a (d) A B 12 1.0 1.0 



/3, (d) a B 11 0.9167 0.9575 



home range a relative to that of the alpha individual. Then 



as = (vy (120) 



In essence, this line of reasoning predicts that as velocity is reduced the 

 area encompassed by the home range will develop similar reductions. Rela- 

 tive home range sigmas, derived by Eqs. (107) and (120), as given in 

 Table XVIII formed the basis for the relative sizes of home ranges within 

 a constellation (Fig. 27). 



In considering the home range of the individual in the context of mem- 

 bership within a constellation of Nb individuals, it is obvious that the term 

 "area" possesses dual meaning. (2TrSaa^) approximately measures the .4 



