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An unsurfaced track on sloping ground does not wear out slowly and evenly. It collects water, water cuts wheel ruts into channels, and the channels deepen each wet season until a vehicle that used the track last year cannot cross it this year. This paper computes that timetable and the maintenance that prevents it. For a stated hillside track (gradient 5%, width 3.0 m, contributing upslope width 20 m, wet-season rainfall 600 mm, runoff coefficient 0.35, silty clay loam soil), the runoff reaching each metre of track is 4.2 cubic metres per season. At a stated sediment transport concentration of 80 kg per cubic metre and a delivery factor of 0.55, the effective incision concentrated in the wheel ruts is 0.237 m, or 23.7 cm, per season. Against stated vehicle limits, a pickup with 0.21 m ground clearance fails at a rut depth of 0.18 m, reached in 0.8 seasons, and a hand cart fails at 0.25 m, reached in 1.1 seasons: on this track, with no drainage and no maintenance, both vehicles are lost within about one wet season, the pickup first. Cross-drains that limit flow accumulation hold the track passable: spacing for at most 10 mm of incision per season is 11 m, and the recommended spacing of 10 m gives 0.95 cm per season, with 100.0 drains per km. The holding program costs 6.0 labour-days per km per year, against 12.0 labour-days per km per year for repeated grading without drains, after a one-off drain installation of 30.0 labour-days per km.
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William Alexander Aldred (2026) studied this question.
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