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By Jurg Andreas Stuckelberger

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Additional info for A Weighted-graph Optimization Approach for Automatic Location of Forest Road Networks

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8 presents the variability of life-cycle cost per unit for the three model scenarios as cumulated frequency curves. Scenario I assumed a route independent cost of 240 CHF m . Therefore the variability is zero, resulting in a vertical straight line of cumulated frequency curve. 9 ) (Tab. 4). The cumulated frequency curve represents more or less the distribution of the slope gradients in the project area. 4. RESULTS AND DISCUSSION 35 Scenario III represents a cost estimating procedure that considers terrain, slope, and different road types resulted in a cumulative frequency curve with median cost of about 240 CHF m and a .

The 0-layer represents the link direction, from west to east, whereas the 4-layer indicates the south-to-north link. The 8- and 12-layers represent link directions from east to west and from north to south, respectively. 3 results in a left-turn switchback. In this representation of the solution space, any chains of links (walk) result in a feasible alignment of the road. Graph optimization takes place in this 3-D graph, and the result can then be mapped back to the 2-D grid, which represents the x, y-surface area of the real world.

In applying this model, we have demonstrated that variability in costs ranges widely for mountainous areas, with the most expensive construction being approximately five times greater there than on more favorable sites. This variability strongly affects the optimal layout of a road network. First, when location-specific slope gradients are considered, costs are reduced by about 17% from those calculated via currently available engineering practices; when both slope gradient and geotechnical formations are included, those costs are decreased by about 20%.

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