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

CHAPTER IV
ESTIMATION OF THE DEMAND FOR TRANSPORTATION
This chapter contains the results of our empirical investigations.
As we are primarily interested in transport by rail, barge and motor,
we first expand the work of Chapter III into a three-mode model. This
model is then converted into suitable form for estimation and and es-
timating equations are derived. The data are then described and the
empirical results discussed.
(4.1)
(4.2)
(4.3)
(4.4)
(4.5)
(4.6)
(4.7)
(4.8)
(4.9)
• (4.10)
•
•
The Estimating Model
The three-mode model may be expressed as
gd • D(T c )
T 1
T 2
T 3
a
T 1
■
■
1 (Q 1 )
E 2 (Q 2 )
3 (Q 3 )
Z 1 (Q 1 )
a
T 2 ■ Z 2 (Q 2 )
a
T 3 ■ Z 3 (Q 3 )
T 1 ■ T r + T a
c r a
T 2 ■ T 2 + T 2
c r a
T T + T •
3 3 3
• Demand .for transportation;
Transport rate by Mode One;
Transport rate by Mode Two;
Transport rate by Mode Three;
Associated costs for Mode One;
Associated costs for Mode Two;
Associated costs for Mode Three;
Total costs of shipping by Mode One;
Total costs of shipping by Mode Two;
Total costs of shipping by Mode Three;
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