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Table 1. The factor values for passing points extracted by fuzzy reasoning inference mechanism<br />

Passing points Factor values for passing points extracted by inference mechanism<br />

(Points extracted by fuzzy factor_1 factor_2 factor_3 factor_4<br />

reasoning inference mechanism) (m) (%) (m) (m)<br />

A. 196 7.7 157 14.6<br />

B. 196 7.2 142 12.1<br />

C. 189 7.5 90 12.0<br />

D. 194 7.0 173 14.4<br />

E. 187 8.5 132 13.5<br />

F. 199 6.0 116 11.6<br />

G. 199 5.4 164 8.4<br />

H. 194 7.6 118 10.6<br />

CH. 194 7.8 94 14.2<br />

I. 197 5.37 115 8.9<br />

J. 187 3.3 157 5.8<br />

By using a Vertical actor (V), we can take into account<br />

the cost necessary to overcome the slope between<br />

two cells. The value <strong>of</strong> V depends on the vertical relative<br />

moving angle – VRMA (see ESRI 1994) and is defined<br />

in our system as shown in ig. 5:<br />

V = 1 if (0 ≤ VRMA ≤ 6)<br />

V = ∞ if (6 < VRMA < 90)<br />

V = 1 if (0 ≥ VRMA ≥–6)<br />

V = ∞ if (–6 > VRMA >–90)<br />

The VRMA is limited to 6 degrees following the maximum<br />

gradient <strong>of</strong> hauling road acceptable for Slovak terrain<br />

conditions.<br />

RESULTS<br />

The new cartographic model <strong>of</strong> skyline yarding distances<br />

built for ArcInfo TM GRID environment and SDSS<br />

system were verified in a called Zboj river included in<br />

the working-plan area Zboj. The study area is approximately<br />

2,400 ha in size and situated in the Bukovské<br />

Vrchy Mountains in Eastern Slovakia. The area is configured<br />

with high undulations and an average slope gradient<br />

is 45%. Steep slopes above 40% occupy about 50%<br />

<strong>of</strong> area.<br />

Fig. 6. A <strong>forest</strong> road laid out using fuzzy reasoning system and<br />

directional path distance model<br />

The hauling road density is 26 m/ha, <strong>of</strong> which 22 m/ha<br />

are not paved hauling roads. The density <strong>of</strong> permanent<br />

ground skidding roads is about 17 m/ha. The calculated<br />

<strong>forest</strong> road density and the theoretical value <strong>of</strong> area accessibility<br />

show very good possibilities for opening the<br />

<strong>forest</strong> up. Nevertheless, in terms <strong>of</strong> the <strong>forest</strong> tractor skidding<br />

technologies used terrain conditions and existing<br />

road structures indicate that average skidding tractor distance<br />

is in reality very long, approximately 2,000 m (see<br />

also comments in Introduction).<br />

ig. 6 shows the recommended contour road proposal<br />

compared with the existing roads. Points A ~ J are passing<br />

points selected by using a fuzzy reasoning inference<br />

mechanism which is based on linear functions for decision<br />

rules. actor values for passing points extracted by<br />

the inference mechanism can be seen in Table 1. Point<br />

“P” is a starting point and “K” an ending point which is<br />

selected by the user. It is apparent from the given figures<br />

that the system takes into account terrain conditions in<br />

the layout <strong>of</strong> roads and that the proposed output is very<br />

similar to the existing road.<br />

This system, which automatically lays out the <strong>forest</strong><br />

roads, was mainly designed to take into consideration<br />

terrain conditions, but supplementary sources <strong>of</strong> information<br />

can be used too. Difficult terrain features, e.g.<br />

extreme slopes, rockiness, environmental barriers, places<br />

where yarding distances exceed the technological<br />

length <strong>of</strong> a cableway system route may be identified in<br />

the model system. These defined features (negative barriers)<br />

cause difficulties in the planning <strong>of</strong> new roads. The<br />

system eliminates negative areas from being considered<br />

and thus ensures that <strong>forest</strong> roads will avoid these areas.<br />

The information derived about skidding distances can<br />

support decision-making on where a new road is to be<br />

located and where existing ground skidding roads can be<br />

proposed for sanitation. The project <strong>of</strong> locating new sections<br />

<strong>of</strong> hauling roads was based on the idea that the skyline<br />

yarding distances between the new road and the<br />

existing valley road or contour road should not exceed<br />

the length <strong>of</strong> the maximum effective span for the proposed<br />

cableway system route. LARIX 550 (Czech Republic<br />

origin) is the most frequently used cableway<br />

J. FOR. SCI., 47, 2001 (7): 307–313 311

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