  It is very common to observe nonlinear features in agricultural and
ecological systems. For example, in tree crop production, alternate bearing is
well known phenomena caused by nonlinear dynamics. Production of single tree of
Citrus Unshiu trees is recognized to be driven by a mechanistic process modeled
with the so-called "resource budget model", which demonstrates phenomenon of
alternate bearing. However, the term of alternative bearing is used not only
for an individual tree's production but also for total production of a large
sized population of trees. In this paper, we developed noise induced uncoupled
dynamics model for population alternate bearing based on Isagi's resource
budget model. Based on numerical experiments with the developed model,
theoretical possibility of a substantial alternate bearing effect even in a
national market was proposed.
