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Models for Estimating Soil Particle-Size Distributions

^a Dep. of Civil and Environmental Engineering, Clarkson Univ., 8 Clarkson Ave., Potsdam, NY 13699-5710
^b D.S. Lee, Graduate School of Environ. Stud., Seoul National Univ., Seoul, 151-742, South Korea

View larger version (50K): [in a new window]   Fig. 1. Textural composition of the soil data set.

View larger version (29K): [in a new window]   Fig. 2. Cumulative particle-size distribution for 1347 Korean soils.

View larger version (24K): [in a new window]   Fig. 3. Box plot for r2 percentiles as the goodness-of-fit of seven models for all soils. Jaky = Jaky model, SL = simple lognormal model, ORL = offset-renormalized lognormal model, ONL = offset-nonrenormalized lognormal model, SC = Shiozawa and Campbell model, GOM = Gompertz model, and Fred = Fredlund model.

View larger version (28K): [in a new window]   Fig. 4. Statistical analyses of the particle-size distribution models for all soils using the F statistic, the Cp statistic (Mallows, 1973), and the Akaike's information criterion (AIC). The number above bars indicates the number of soils for which a model can be accepted instead of the Fredlund model. Jaky = Jaky model, SL = simple lognormal model, ORL = offset-renormalized lognormal model, ONL = offset-nonrenormalized lognormal model, SC = Shiozawa and Campbell model, and Gom = Gompertz model.

View larger version (29K): [in a new window]   Fig. 5. Comparative fit of seven models: (a) sand (Jangcheon soil, 20–65 cm), (b) loamy sand (Kocheon soil, 55–100 cm), and (c) sandy loam (Kwangpo soil, 60–120 cm). Obs. = observed, SL = simple lognormal model, SC = Shiozawa and Campbell model, Gomp. = Gompertz model, ORL = offset-renormalized lognormal model, ONL = offset-nonrenormalized lognormal model, and Fred. = Fredlund model.

View larger version (30K): [in a new window]   Fig. 6. Comparative fit of seven models: (a) loam (Manseoung soil, 0–12 cm), (b) silt loam (Yihyun soil, 11–20 cm), and (c) sandy clay loam (Kangseo soil, 28–78 cm). Obs. = observed, SL = simple lognormal model, SC = Shiozawa and Campbell model, Gomp. = Gompertz model, ORL = offset-renormalized lognormal model, ONL = offset-nonrenormalized lognormal model, and Fred. = Fredlund model.

View larger version (27K): [in a new window]   Fig. 7. Comparative fit of seven models: (a) clay loam (Misan soil, 23–47 cm), (b) silty clay loam (Wunkyo soil, 25–65 cm), (c) silty clay (Seotan soil, 84–100 cm), and (d) clay (Bankok soil, 0–12 cm). Obs. = observed, SL = simple lognormal model, SC = Shiozawa and Campbell model, Gomp. = Gompertz model, ORL = offset-renormalized lognormal model, ONL = offset-nonrenormalized lognormal model, and Fred. = Fredlund model.

View larger version (40K): [in a new window]   Fig. 8. Statistical analyses of the particle-size distribution models using the Cp statistic (Mallows, 1973) according to clay content of soils. SL = simple lognormal model, ORL = offset-renormalized lognormal model, ONL = offset-nonrenormalized lognormal model, SC = Shiozawa and Campbell model, and Gom = Gompertz model.

View larger version (46K): [in a new window]   Fig. 9. Box plot for r2 percentiles as the goodness-of-fit of seven models for textural classes. ORL = offset-renormalized lognormal model, and ONL = offset-nonrenormalized lognormal model.