Rd. Williams et Lr. Ahuja, USING AVAILABLE WATER-CONTENT WITH THE ONE-PARAMETER MODEL TO ESTIMATE SOIL-WATER RETENTION, Soil science, 156(6), 1993, pp. 380-388
The Gregson et al. one-parameter model (GHM) is based on the log-log f
orm of the soil water retention curve, below the air-entry value of ps
i, ln psi = a + b In theta, where a and b are the intercept and slope,
respectively. A strong linear -relationship observed between a and b
was expressed as a = p + qb. Given this relationship, the GHM was deri
ved as In psi = p + b (In theta + q). Given p and q values for a soil
or group of soils, only one value of the psi(theta) relationship needs
to be known to calculate the only unknown parameter in the model - b,
and hence, the entire psi(theta) function. Typically, theta at the -3
3 kPa matric potential (theta-33 kP.) is used as the known psi(theta)
value. Here we provide a regression relationship between b and the ava
ilable water content (AWC) to estimate b, since in many eases the AWC
is available in the USDA soil survey reports, whereas theta-33 kpa is
not. Using the b thus estimated in GHM gives only slightly larger erro
rs in calculating the water content at different potentials than when
using theta-33 kPa. Further we show that the intercept (a') and slope
(b') of a log-linear model, In psi = a' + b' theta, are also linearly
related and an alternate form of the one-parameter model (LLM) can be
derived, In psi = p' + b' (theta + q'), which uses AWC directly. The e
rrors with this model are comparable to GHM. Unfortunately, LLM requir
es individual soil p' and q' values and, because of more scatter in th
e intercept - slope relationship, pooled p' and q' values for a group
of soils are not as effective in LLM as they are in GHM.