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John B. Calhoun 



potentiality of eliciting a response by another up to a maximal distance of 

 about 3 sigma between individuals. We may then ask, "How many other 

 individuals in such a uniformly distributed population can any one in- 

 dividual know?" Figure 26 shows that a line connecting the home range 

 center of any one individual's six nearest neighbors forms a hexagon. With 

 the hypothesized communication system operating, this one individual 

 can remain in constant communication contact with all its six nearest 

 neighbors except under the condition when it and one of them happen to 



Fig. 26. Spatial distribution of home range centers during the preconstellation phase. 

 Small open circles represent centers for individuals destined to become alpha members. 

 Dots represent home range centers for all other individuals. Home range centers are 

 uniformlj' distributed. 



move in opposite directions away from the line connecting their respective 

 home range centers. Such actions can increase the distance between them 

 to greater than 3 sigma. 



Lines connecting the home range centers of this individual's next-nearest 

 neighbors also form a hexagon. Home range centers for all these twelve 

 next-nearest neighbors lie nearly 4.0 sigma from the selected individual. 

 Therefore, each of these next-nearest neighbors can be in contact with the 

 selected individual when they approach each other, such that the distance 

 intervening between them becomes less than 3.0 sigma. Any more-distant 

 neighbors, those living G.O or more sigma from the selected one, will have 



