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Published online 11 April 2005
Published in Soil Sci Soc Am J 69:674-680 (2005)
DOI: 10.2136/sssaj2004.0047
© 2005 Soil Science Society of America
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ALTERNATIVE APPROACHES FOR DETERMINING THE USLE-M SLOPE LENGTH FACTOR FOR GRID CELLS

Peter I. A. Kinnell*

School of Resource, Environmental and Heritage Sci., Univ. of Canberra, Canberra, ACT 2601, Australia



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Fig. 1. LUMe.i,j for a 900-m2 outlet cell calculated by Eq. [1] and [4] in relation to the total area in the catchment or watershed when m = 0.5, QCe.i,j-cell = 0.6, and QCe.i,j-in = 0.6.

 


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Fig. 2. Relationships between LUMe.i,j for a 0.09 hectare cell and QCe.i,j-in produced by Eq. [1] and [4] when Ai.j-in + D2 = 0.9 ha.

 


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Fig. 3. A diagrammatic representation of the sizes of the areas relevant to the calculation of the slope length factor in a rectangular watershed one cell width wide.

 


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Fig. 4. Relationships between LUMe.i,j for a 0.09-ha cell and QCe.i,j-in produced by Eq. [1], [4], and [8] with Eq. [15] when Ai.j-in + D2 = 0.9.

 


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Fig. 5. Relationships between the product of QRe.i,j-cell and LUMe.i,j for a 0.09-ha cell and QCe.i,j-cell produced by Eq. [8] with Eq. [10] and Eq. [8] with Eq. [11] when Ai.j-in + D2 = 0.9 ha.

 


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Fig. 6. Relationships between the product of QRe.i,j-cell and LUMe.i,j for a 0.09-ha cell and QCe.i,j-cell produced by Eq. [8] with Eq. [10] and Eq. [8] with Eq. [11] when Ai.j-in + D2 = 0.9 ha when QCe.i,j-all = 0.6.

 


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Fig. 7. Relationships between the product of QRe.i,j-cell and LUMe.i,j for a 0.09-ha cell and QCei,j-in produced by Eq. [1] and [4] and Eq. [8] with Eq. [10] and [11] when Ai.j-in + D2 = 0.9 ha.

 


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Fig. 8. The effect of QCei,j-in on Li,j determined by Eq. [12] when Ai.j-in-eff is determined by Eq. [11].

 


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Fig. 9. The effect of QCei,j-in on the ratio of QCei,j-in-eff to QRe.i,j-cell when Ai.j-in-eff is determined by Eq. [11].

 


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Fig. 10. The approach used by Meyer and Wischmeier (1969) to simulate the processes of soil erosion by water.

 





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