1. The Social Use of Space 



117 



tion. Such reductions of /„„ are shown in Fig. 34; f^J^\ Eq. (75), is that 

 faa denoted by the point where the dashed hne intersects each soUd hne 

 curve. Dropping vertically to the abscissa from each such intersection 

 defines the Nb for which that a is appropriate in the sense of optimizing 

 satisfaction, d^J"\ In each case, regardless of the size of Nb, af["^^ = 0.25. 



Fig. 34. Frequency of satisfactory social interactions {faa) as a function of density 

 (iV) and refractory period (a) . The intersectiori of the dashed line and any solid line 

 curve defines the basic group size, Nh, appropriate to that a. All «/„„ defined by these 

 intersections represent a constant, e^^ , which defines the optimum amount of satiation 

 which can be experienced by any member of an iVt- The values on the ordinate indicated 

 by N intersecting the dashed line represent /i™ ^ = (iV - l)/4 when n and m' each 

 equals 1.0 or tin' = 1.0. For any given /^^\ a can be determined by finding the A^ at 

 which /ao intersects the dashed line. Here a = \/{N — 1). 



Each A^6, so defined, represents a distinct species in the sense that there 

 have arisen genetic alterations in i, such that there exists the highest 

 probability of a steady state in which «/„„ optimizes satisfaction from social 

 interaction. 



Some of the insights revealed in Fig. 34 may be more explicitly compre- 

 hended by examining Table XL In the left-hand part A of this table, sue- 



