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Abstract
Young, P.C. and Pedregal, D.J. (1998) Data-based mechanistic modelling (of
macro economic systems). Chapter 6 in C. Heij et al (Eds.), System Dynamics
in Economic and Financial Models, J. Wiley: Chichester and new York.
Over many years, the first author has promoted a data-based approach to the
modelling of environmental and other dynamic systems. This favours simpler
mathematical descriptions of complex dynamic processes, arguing that large,
highly parameterised models can rarely be justified statistically because
of the inherent limitations in the available time-series data. Coupled with
the inability to perform planned experiments, such data deficiencies
seriously restrict the identifiability of the parameters in such models.
This problem is exacerbated by the occurrence of modal dominance in dynamic
systems; that is, the fact that the normal response of high order dynamic
systems is governed mainly by those few eigenvalues which define the
identifiable dominant modes of the system. It seems obvious that, if
sufficiently informative time series data are available, the dominant modal
structure should be identified directly from these data using objective
methods of statistical inference. Data-based Mechanistic (DBM) modelling is
a time series approach to environmetric (or other systems) analysis which
attempts to extend conventional, data-based, time-series methodology in a
manner which enhances the model builder's ability to interpret the
identified model in physical, biological, ecological or, in the present
context, socio-economic terms. This chapter outlines the DBM approach and
applies it to the problem of modelling a quite simple nonlinear
relationship between quarterly measures of seasonally adjusted unemployment
GNP and total capital investment in the USA over the period 1948 to 1988.
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Updating responsibility Arun Chotai. This page is copyright of Lancaster University.
12/10/01 - PGM.
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