N
t
*
cannot be observed directly but can be inferred from observing the
process by which the housing stock evolves over time. For example, this
year's stock may be related to last year's stock by the following:
N
N
% (
(
N
(
)
(7)
t
t
&
1
t
&
N
t
&
1
In this traditional stock adjustment model this year's stock is equal to
last year's stock (
N
) plus a fraction of the difference between th
t 1
e
desired stock and the actual stock. Combining terms in (7) and
substituting (6) yields:
P
N
(
f HH
,
y
,
Z
,
h
%
(1
& (
)
N
t
t
t
t
(8)
P
t
&
1
o
t
Regressing current stock on lagged stock and the presumed determinants of N*
permits estimation of the adjustment rate,
(
; the effects of exogenous variables on the
desired stock of housing, and the stock of desired housing itself. Having estimated the
parameters of (8), it is possible to estimate the unobservable desired housing stock.
In transition economies, given the constrained supply responses associated with
heavily interventionist policies, econometrically estimated parameters of (8) may be of
interest for forecasting but of less interest for determining potential demand, which may
be better estimated by examining relationships between the size of the housing stock for
market economies
and the determinants indicated in Eq. (6).
It might be assumed, for example, that once market forces are unleashed in a
transitional economy such as Poland's, the housing sector will be increasingly pulled in
ways to replicate the sectoral performance of market economies. Countries such as
Turkey, Chile, and Malaysia, for example, with income relatively similar to Poland, had
1.20, 0.99, and 1.03 households per dwelling in 1990, compared with a figure of about
1.09 for Poland (Warsaw) in 1990. International comparisons facilitated by data from
efforts such as the Housing Indicators Project can establish norms of such outcomes in
relation to the determinants listed in Eq. (6). Expected levels of housing stock in relation
to households and other variables can be established based on estimates of Eq. (6) using
cross country data, assuming that an average
N
=
t
N
t
*.
Estimates of
N*
for Poland so
obtained can be interpreted either directly, as potential demand, or can be entered
directly into a stochastic version of Eq. (7) and used as an alternative method to estimate
the adjustment rate,
(
.
I 10
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