1. The Social Use of Space 109 



For clarification :/ap = fap + f^a 



And f^p = frequency with which a given responsive individual interacts 



with refractory individuals, while it is itself in the responsive 



state. 

 And fpa = frequency with which a given refractory individual interacts 



with responsive individuals, while it is itself in the refractory 



state. 



It can be demonstrated that f,'^ = f^^ . 



Therefore 



Zip = 0.5/„, (59) 



If we let a„, represent that a appropriate to A^„, and /i™\ then from Eq. 

 (55) 



1 



Similarly, for Nb with /x and /x' = 1-0 



1 



A^6 - 1 



(60) 



(61) 



If we assign /^"^ as the fap characterizing Nm when /i^^ represents the 

 maximal value of /„„ (e.g., see Eq. (56)), then by utilizing Eqs. (51), 

 (52), (55), and (60) and considering the fact that /x' = 1-0, it follows that 



/S^ = 2/i:^ (62) 



And from Eq. (59) it follows that, when n and m' each equals 1.0, 



fT' = fa:' (63) 



For clarification, it is to be noted that Eqs. (62) and (63) refer to the con- 

 dition when fjL and m' remain unchanged at the fxb and (Xb values appropriate 

 to Nb, but a adjusts to the existing A^ according to Eq. (60) so that the 

 existing N becomes an A^^*") differing from Nb in most instances. 

 As already demonstrated 



eo = af'-' (64) 



where do represents the maximal, and for this special case also the optimal, 

 amount of time an individual can remain in that refractory state denoting 

 satisfaction from social interaction. At iV„„ where Bo is realized a/„'j"'^ 



