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2001 national household travel survey user's guide - NHTS Home ...

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m<br />

mpg<br />

c ij =<br />

ij<br />

, ∀ j = 1, 2, …, 12 (10)<br />

ij<br />

where mij denotes VMT for the i th vehicle during the j th month and mpgij<br />

denotes fuel economy in miles per gasoline equivalent gallon for the i th vehicle<br />

during the j th month. Now, the equation can be rewritten as:<br />

= ∑<br />

=<br />

12 mij<br />

C<br />

j 1 mpgij<br />

i (11)<br />

ORNL provided the annualized VMT estimate for <strong>NHTS</strong> that was used to<br />

calculate monthly VMT values. Given that value, a monthly VMT was derived for<br />

each annualized vehicle VMT as:<br />

mij = Mi<br />

• fij<br />

(12)<br />

where Mi denotes for the i th vehicle, calculated using odometer readings and<br />

procedures discussed in Appendix J and fij denotes the average fraction of<br />

“annual” VMT that was driven during the j th month, estimate for the i th vehicle.<br />

For all sample vehicles, fij was approximated with the average fractions, Fj, found<br />

in Table 2.<br />

Substituting mpgij = MPGij(in-use) and mij from Equation 12 into Equation 11<br />

yields the following estimate of annual consumption for the i th vehicle:<br />

•<br />

= ∑<br />

=<br />

12<br />

j 1 MPG<br />

Mi<br />

fij<br />

C<br />

ij(in -<br />

i (13)<br />

use)<br />

Since <strong>NHTS</strong> assumes that each sample vehicle exists in the sample<br />

<strong>household</strong> for an entire year, no alternative estimators for acquired or disposed<br />

vehicles were created.<br />

To simply calculations, a single “annualized” fuel economy that is analogous<br />

to the “annualized” MPGi was estimated as:<br />

MPG<br />

MPGi(EPA<br />

=<br />

12<br />

∑ fij<br />

• GPMR<br />

j = 1<br />

55/45)<br />

i(annualiz ed)<br />

(14)<br />

ij(in - use)<br />

Thus, annual consumption equals:<br />

M<br />

MPG<br />

C i =<br />

i<br />

i(annualized)<br />

. (15)<br />

K-13

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