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treasure valley road dust study: final report - ResearchGate

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egressions, R 2 and P-values are also <strong>report</strong>ed. R 2 can be thought of as the fraction of the<br />

variance in Log(b) that is explained by the regression. The P-value for a parameter is an indicator<br />

of the probability that the fit for that parameter is not different from zero. In general, a low P-<br />

value suggests that a discernible relationship exists between the dependent (Log(b)) variable and<br />

the independent (Log(s), Log(v), or both) variable(s). Option 1 resulted in very good curve fits<br />

with R 2 ranging from 0.83 (Winter-Canyon-Rural) to 0.99 (Summer-Ada-Rural). When Log(s)<br />

was the only independent variable (option 2) R 2 ranged from 0.77 (Winter-Canyon-Rural) to<br />

0.98 (Summer-Ada-Rural). Option 3 resulted in R 2 ranging from 0.47 (Summer-Canyon-Urban)<br />

to 0.95 (Summer-Ada-Urban). Option 2 was chosen as the best option for use in the Treasure<br />

Valley Road Dust Study for three reasons. First, though option 1 resulted in better curve fits, the<br />

relationship between the variables was not consistent. The exponent, y, for per lane volume was<br />

negative for Summer-Canyon-Urban and Winter Canyon-Rural, suggesting an increase in<br />

emissions potential, b with increasing volume. However, y was positive for all other cases,<br />

suggesting a decrease in b with increasing volume. These results are not physically consistent.<br />

Second, <strong>road</strong> speed and per lane traffic volume are positively correlated (see Figure 4-2). Thus,<br />

they are not independent variables. Third, <strong>road</strong> speed is a known quantity while volume is<br />

obtained from TDM model results. This adds uncertainty to the variable v.<br />

Table 4-4. Results of regression of log(emissions factor, b) vs. log (speed, s) and log (volume per lane, v).<br />

Time and Location<br />

Option 1<br />

Regressions of Log(b) vs. Log(s) and Log(v)<br />

Option 2<br />

Log(b) vs. Log(s) only; y=0<br />

Option 3<br />

Log(b) vs. Log(v) only; x=0<br />

Season County Setting R 2 x P x y P y R 2 x P x R 2 y P y<br />

S Ada Rural 0.99 1.07 0.0002 0.12 0.0175 0.98 1.47 0.0000 0.90 0.37 0.0001<br />

S Ada Urban 0.95 0.20 0.6300 0.48 0.0199 0.88 1.39 0.0002 0.95 0.56 0.0000<br />

S Canyon Rural 0.93 1.18 0.1720 0.22 0.2289 0.88 2.05 0.0055 0.86 0.45 0.0076<br />

S Canyon Urban 0.89 4.01 0.1041 -0.42 0.2671 0.77 2.03 0.0496 0.47 0.31 0.2035<br />

W Ada Rural 0.97 0.13 0.7292 0.34 0.0217 0.88 1.32 0.0017 0.97 0.38 0.0000<br />

W Ada Urban 0.91 0.59 0.2447 0.33 0.1083 0.85 1.38 0.0004 0.88 0.53 0.0002<br />

W Canyon Rural 0.83 1.79 0.0341 -0.17 0.2597 0.77 1.05 0.0039 0.54 0.19 0.0366<br />

W Canyon Urban 0.94 1.36 0.1224 0.27 0.3249 0.89 1.86 0.0165 0.73 0.67 0.0637<br />

Considering speed, setting, and time of year as the only parameters that determine <strong>road</strong><br />

<strong>dust</strong> emissions potentials from paved <strong>road</strong>s, Equation (4-7) simplifies to<br />

b<br />

? x<br />

? C C , S,<br />

T<br />

? s<br />

Eq(4-8)<br />

The <strong>final</strong> values for C C,S,T and the exponent x are shown in Table 4-5. Note that the table<br />

also lists residential <strong>road</strong>s but that the x values for those <strong>road</strong>s are zero (i.e. no dependence on<br />

<strong>road</strong> speed). The curve fits corresponding to the non-residential entries in Table 4-5 are shown<br />

in Figure 4-3. In general, the regressed values for the exponent x and C C,S,T fit the original<br />

dataset well, within the limits of uncertainty. Table 4-6 shows a breakdown of emissions<br />

potentials and emissions factors based on the year 2000 Treasure Valley Roadway network. In<br />

obtaining the averages in Table 4-6 each link in the Traffic Demand Model was weighted equally<br />

regardless of link length or traffic volume. This averaging scheme provides an overview of the<br />

range of emissions characteristics. A discussion of <strong>road</strong> <strong>dust</strong> emissions resulting from individual<br />

activities and <strong>road</strong> types is provided in the following Chapter.<br />

4-10

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