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Q2 Z2,(Q2) Z2(Q2) - Institute for Water Resources - U.S. Army

Q2 Z2,(Q2) Z2(Q2) - Institute for Water Resources - U.S. Army

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(4.54)<br />

(4.55)<br />

Motor •fl<br />

A' ■ (P C C- P) and<br />

Y2 13 14 ) *<br />

Then referring to equations (4.51) and (4.52) the reduced <strong>for</strong>m parameters<br />

of the Ps and Cs are seen to be the elements of Table 4.32. .<br />

Table 4.32<br />

SELECTED REDUCED FORM PARAMETERS<br />

Mode 1 iP J C<br />

Rail<br />

Variable<br />

y b<br />

l m<br />

y b<br />

2 m<br />

y b<br />

3 m<br />

y b<br />

4 m<br />

ZZZZ<br />

ylbr y2br<br />

Z Z<br />

y3br<br />

Y4br<br />

From this table we can see that the • reduced <strong>for</strong>m estimates can be<br />

utilized to derive estimates of the ratio of b m and b , and the ratios<br />

of the yis.: It also illustrates the hazards of overidentification.<br />

For each commodity group it is possible to derive four estimates of<br />

b /b from the final set of regression equations. For our purposes we<br />

M<br />

shall use the simple average of the i P and ,C coefficients obtained<br />

-<br />

from the third set of estimating equations as our "best" estimate of<br />

this ratio. As indicated previously, these ratios can also be used to<br />

estimate the ratios of the elasticities of transport demand with re-<br />

spect to the transport rates. 19<br />

19. From Table 4.27 we see that<br />

af r<br />

Ob<br />

mIL . —•and<br />

r<br />

Z af<br />

m<br />

Z •<br />

139

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