DEMAND FOR MEAT AND FISH PRODUCTS IN KOREA



The first-differentiated Stone's index, logP* may be decomposed into three components:

n  nn

(9)           log P * =w. ∙∆ log pj + w log pj -w ∙∆ log pj .

j =1j =1j =1

The second and third term are likely to be quite small since, in the context of time-series data,
shares usually do not change much from one observation to the next (Alston and Chalfant).

Substituting the first term of logP * from Equation (9) into the first-differentiated LA/AIDS in

Equation (8) yields

(10)           win γijlogpj+βi[logX-n wjlogpj].

j =1j =1

Equation (10) is similar to the Rotterdam model. Any difference is in the specification of the
income term. Theil and Clements (1987) refer to
DQ in Equation (1) as a finite change version of
the Divisia volume index
(Alston and Chalfant). It is approximately equal to

(11)          DQ* =∆ log X -∆ log P ° ,

n

where log P ° = wj ■ ∆ log pj, which is similar to the first-differentiated Stone’s price index
j=1

in Equation (9). Substituting DQ* for DQ, the Rotterdam model is re-specified as follows



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