The relationship between fig trees and their pollinator wasps is a well-kno
wn example of species-specific obligate mutualism. In this article we prese
nt a stochastic model of this mutualistic system, referring to data on a di
oecious fig (Ficus schwarzii) in Borneo, and examine the conditions for the
persistence of a wasp population for a given period. (1) When the average
duration of the flowering interval of fig trees is short, even a small fig
population can sustain a wasp population successfully. A population whose a
verage period of flowering cycle is half that of another population can sus
tain a wasp population with a number of trees less than half of the other p
opulation. (2) The wasp survival rate (WSR) is higher when (a) the variatio
n of the interval periods of fig flowering is smaller, (b) the fig populati
on size is larger, and (c) figs can prolong their receptivity to wait for a
wasp if no wasps are available. (3) WSR is predictable from the average pr
oportion of the fig's receptive phases, in which wasps are available, to th
eir total receptive phases. (4) The persistence period of a wasp population
increases exponentially with the number of fig trees. Based on these resul
ts we propose a new hypothesis, as a possible scenario, on the evolution of
dioecy from monoecy in Ficus.