1. The Social Use of Space 



23 



< 0.5 

 m 



• Ma/e 



O Female S Fawns 



4.0" 



.3 .6 .9 1.2 1.5 1.8 2.1 2.4 2.7 3.0 3.3 3.6 3.9 

 RADIUS, r, FROM CENTER OF HOME RANGE IN 0" UNITS 



Fig. 8. Accumulated probability of "capture." Curve / is the expected from the 

 bivariate normal distribution function. Curve // is the expected based upon (a) ter- 

 mination of trips according to the equation, y = e«+''* in which the slope h is negative, 

 (b) probability of v/andering at end of trips is proportional to radius, and (c) captures 

 only occur during the wandering phase at end of trips. Curve /// is the accumulated 

 travel path with no wandering at end of trips and "captures" represented by observa- 

 tion of the animal in motion. 



sional alley shown in Fig. 7, it was only recorded whether or not a wander- 

 ing occurred at the end of trips. No measure was made of the length of the 

 wandering. However, it is my impression that the longer a trip, the greater 

 will be the amount of wandering at the end of a trip if wandering is initiated. 

 This would mean that the amount of responsive wandering at the end of 

 trips is proportional to r- rather than just to r. If this is really the case, 

 then we can derive a fourth cumulative probability curve, Curve IV, 

 which has the form: 



Cumiv = 1 





+ - + /2 + 1 



\e~^ 



(26) 



By successive approximations utiUzing Eq. (25), it was found that when 

 a = 0.32, Cumiv = 0.516 at r = 1.2. Therefore, 0.32 is the a conversion 

 factor apphed to R = r/a, so that Curves I and IV may be compared in 

 terms of the bivariate normal home range a distance. Note that thus there 

 is forced conformity of both Cumn and Cumiv to Cumi at the 1.2 value 

 of r. 



Near the home range center. Curve IV predicts fewer captures than is 

 imphed by Curve II or found by observed captures. Table III. However, 

 at the longer radial distances from the home range center, Curve W more 



