مدلسازی استخدام منطقه ای، کاربرد در بخش های فناوری پیشرفته در یونان

Mathematical models of competing species defined by ordinary differential equations are considered to construct a model for analysing the spatial dimension of employment. Analysis of the points of equilibrium is given in an application of the model using data on employment in High Technology Sectors (HTS), for the period 1999-2008, for Greece. The findings suggest that there is tendency of movement in employees in HTS in Greece from the Attica region to the Rest of Greece. In the long-run equilibrium it was found that the employment in Attica will be between the levels of 2007 and 2008 while it will increase in the periphery of Greece.

In the last two decades a lot of work has been done in an effort to explain the mechanisms that generate patterns in spatial domains in economics and especially in the field of economic geography and environmental economics (e.g. Fujita et.al. 1999, Krugman 1996, Xepapadeas 2010). In the present work an attempt has been made to develop a model to examine the spatial dimension of employment. More specifically, data on employment in Greece has been used in order to explain regional employment in High Technology Sectors (HTS), for the period 1999-2008. The model that was developed was based on a mathematical model from biology, of the growth of two species sharing a common environment. The original model focuses on biological phenomena and the object is to find out the long-run qualitative behaviour of the trajectories. In this paper we present a mathematical model with two regions i.e. the Region of Attica and the Rest of Greece and investigate the possible equilibrium points as well as their characterisation in terms of stability of employment in HTS. In Section 2, the mathematical model is developed for n regions and the application for the two-region case is also presented, in Section 3 the data used are described and the estimation of the model is presented and finally, Section 4 concludes.

Mathematical models of competing species defined by ordinary differential equations are considered to construct a model for analysing the spatial dimension of employment. Analysis of the points of equilibrium is given in an application of the model using data on employment in High Technology Sectors (HTS), for the period 1999-2008, for Greece. The findings suggest that there is tendency of movement in employees in HTS in Greece from the Attica region to the Rest of Greece. In the long-run equilibrium it was found that the employment in Attica will be between the levels of 2007 and 2008 while it will increase in the periphery of Greece. Further work will be pursued to model regional employment and employment in HTS with all the thirteen regions in Greece. Also, nonlinear least squares pproximation will be used in order to fit the data by the solution of the differential equations rather than using finite differences to transform the problem into a linear one.