J. Chikushi et O. Hirota, SIMULATION OF ROOT DEVELOPMENT BASED ON THE DIELECTRIC-BREAKDOWN MODEL, Hydrological sciences journal, 43(4), 1998, pp. 549-560
Knowing the root distribution in soil is essential for estimating wate
r uptake by plant roots. It is difficult, however, to characterize and
model undisturbed root systems. Root development in a two-dimensional
potential field is simulated with the dielectric breakdown model (DBM
), which implies a similarity between electric discharge and root dist
ribution. A weighted potential gradient with an exponent II was used t
o create probability distributions of root growth. Each root was gener
ated step-by-step by selecting random numbers from probability distrib
utions. Simulations were performed for point sources and horizontal li
ne sources. In both cases, as eta increased, the root system changed f
rom a cluster and dense type to a slender and sparse type and the frac
tal dimension decreased. For a point source of water, there was a defi
nite pattern of root development toward the source. It is concluded th
at the DBM effectively describes root development under various water
conditions.