A linkage between the two major modeling approaches to forest dynamics
, transition Markovian models and JABOWA-FORET type simulators, is gen
erated by developing a compact model of forest dynamics. This patch tr
ansition model utilizes functional roles instead of species. The roles
or types are based on the regeneration and mortality characteristics
of tree species; specifically, the requirements of canopy gaps for reg
eneration and the capacity to create canopy gaps upon death. A gap-siz
e plot can be assigned to each of a set of states defined according to
dominance of one of the roles. Transition probabilities among these s
tates and mean holding times in each transition lead to semi-Markovian
analytical calculations of the stationary state probabilities. Forest
dynamics, as the proportions of total canopy space occupied by each r
ole in a collection of gap-size plots, can be analyzed and simulated u
sing a chain of first-order differential equations to emulate the dist
ributed time-delays. Additional fixed time-delays in the transition of
every pair of states is also included to account for long latencies.
In addition to simplifying the simulations, the resulting model can al
so utilize available results of the theory of semi-Markov processes; a
nd therefore, can provide analytical guidance to the simulations, the
feasibility of direct exploration of hypothesis and the possibility of
fast computation from closed-form solutions and formulae. These advan
tages can especially be useful in the simulation of landscape dynamics
and species-rich tropical forests.