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Wind Erosion in Western Queensland Australia

Modelling Land Susceptibility to Wind Erosion in Western ... - Ninti One

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Chapter 4 –Modell<strong>in</strong>g Soil Erodibility Dynamicswhere b m<strong>in</strong> def<strong>in</strong>es the m<strong>in</strong>imum erodibility occurr<strong>in</strong>g at t = 1, and b max def<strong>in</strong>es the maximumerodibility of a soil as t → ∞. Us<strong>in</strong>g this framework, temporal changes <strong>in</strong> soil erodibility canthen be regulated by ra<strong>in</strong>fall occurrence and time s<strong>in</strong>ce ra<strong>in</strong>fall, which can be used to derivevalues of t and <strong>in</strong>put <strong>in</strong>to Equation (4.11).Antecedent ra<strong>in</strong>fall conditions have demonstrated l<strong>in</strong>ks with w<strong>in</strong>d erosion activity at bothshort (daily to weekly) and long (e.g. monthly to seasonal) time scales. The effect ofantecedent ra<strong>in</strong>fall on soil erodibility at short time scales is manifested through soil wetness(moisture) conditions that drive <strong>in</strong>ter-particle b<strong>in</strong>d<strong>in</strong>g (Belly, 1964; McKenna-Neuman andNickl<strong>in</strong>g, 1989; Fécan et al., 1999). The period for which soil wetness will affect erodibilityis dependent on the water hold<strong>in</strong>g capacity of a soil, as determ<strong>in</strong>ed by the soil texture,chemical and biological properties and vegetation cover (Cornelis and Gabriels, 2003). Whilethe asymptotic form of the erodibility growth curve could be used to cover soil moistureeffects on erodibility, the model does not explicitly account for moisture effects on gra<strong>in</strong>b<strong>in</strong>d<strong>in</strong>g (see Section 4.6 for discussion). At long time scales (e.g. monthly to seasonal)antecedent ra<strong>in</strong>fall has been shown to affect both soil crust condition (Strong, 2007) and w<strong>in</strong>derosion activity (Brazel and Nickl<strong>in</strong>g, 1986; Yu et al., 1993; Neil and Yu, 1994).Consider<strong>in</strong>g application of the model for daily simulations of soil erodibility, we can denotet <strong>in</strong>it as the value for t (Equation 4.11) used to <strong>in</strong>itiate a simulation, t prev as the value for t on theprevious simulation day, and t new as the value for t on the simulation day. Values for t <strong>in</strong>it canbe approximated by consider<strong>in</strong>g antecedent ra<strong>in</strong>fall totals for long (∑R) and short (∑r)periods prior to a simulation day. Values for t new can be updated from t <strong>in</strong>it (and t prev ) byconsider<strong>in</strong>g short term ra<strong>in</strong>fall totals up to and <strong>in</strong>clud<strong>in</strong>g the simulation day. Under thisframework conditional statements can be used to assign values for t <strong>in</strong>it based on ∑R, forexample:t <strong>in</strong>it = W for ∑ R < W r (4.13)= X for W r < ∑ R < X r= … …= 1 for ∑ R > Y rwhere W r and X r … are antecedent ra<strong>in</strong>fall ranges determ<strong>in</strong><strong>in</strong>g values for t <strong>in</strong>it based on ∑R. Forra<strong>in</strong>fall above a threshold sufficient to <strong>in</strong>itiate surface crust<strong>in</strong>g (denoted Y r ), t <strong>in</strong>it will be set to1 such that b(t) = b m<strong>in</strong> and the result<strong>in</strong>g soil erodibility is equal to Q m<strong>in</strong> . In terms of Figure 4.3,115

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