Coelho JD and Wilson AG (1976) The optimum location and size of shopping centres, Reg. Studies 10... more Coelho JD and Wilson AG (1976) The optimum location and size of shopping centres, Reg. Studies 10, 413-421. An optimisation criterion is presented for the size and siting of shopping centres (using the maximisation of consumers' surplus) and this is integrated with a spatial ...
Coelho JD and Wilson AG (1976) The optimum location and size of shopping centres, Reg. Studies 10... more Coelho JD and Wilson AG (1976) The optimum location and size of shopping centres, Reg. Studies 10, 413-421. An optimisation criterion is presented for the size and siting of shopping centres (using the maximisation of consumers' surplus) and this is integrated with a spatial ...
... state occurring. It can be seen just as easily that this notion of entropy can be related to ... more ... state occurring. It can be seen just as easily that this notion of entropy can be related to the concept of uncertainty. In this case, we are referring to the uncertainty of the analyst about the micro-states of the system. The analyst ...
Environment and Planning A: Economy and Space, 1973
This paper presents accounts and models which can be used for spatial demographic analysis. It is... more This paper presents accounts and models which can be used for spatial demographic analysis. It is shown that in any time period there are sixteen different kinds of demographic flows for a two region system. These flows can be represented in an accounting table. Some of the minor flows, involving double or triple demographic events such as a birth followed by a migration, cannot be measured directly from data, and an iterative scheme is offered for the calculation of these flows. In this way a complete set of accounts can be built up from existing data. Two principles of model building using this set of accounts are then discussed. The first uses a simple definition of demographic rates, while the second uses a definition of rates which employs a concept of ‘at-risk’ populations. Procedures are given for calculating these populations. The account building principles are illustrated with a worked example for a three region system: the West Riding of Yorkshire, the rest of England and...
HERE IS AN INTERESTING DISCUSSION ON THE RECENT PAPER "ARE GRAVITY AND INTERACTANCE MODELS A... more HERE IS AN INTERESTING DISCUSSION ON THE RECENT PAPER "ARE GRAVITY AND INTERACTANCE MODELS A VALID TECHNIQUE FOR PLANNING REGIONAL TRANSPORT FACILITIES?" BY I. G. HEGGIE (OPERATIONAL RESEARCH QUARTERLY, VOL. 20, NO. 1, PP. 93-110, MARCH 1969; HIGHWAY RESEARCH ABSTRACTS, VOL. 39, NO. 9, P. 16, SEP. 1969). WILSON COMMENTS ON SPECIFIC POINTS AND REJECTS HEGGIE'S CASE ABOUT GRAVITY AND INTERACTANCE MODELS AS UNPROVEN AND MISLEADING. BOTH AUTHORS CITE REFERENCES IN SUPPORT OF THEIR COMMENTS.
The content of Environment and Planning A relating to a six-year period is broadly reviewed. This... more The content of Environment and Planning A relating to a six-year period is broadly reviewed. This illuminates some features of the styles of research of its contributors and provides the basis for some speculations on research policy. It is argued that research funding and training at the institutional level, and corresponding decisions at the individual level, should be more ambitious in scope. Five suggestions are made to help achieve this.
A unified theoretical framework is applied to a broad range of alternative approaches to industri... more A unified theoretical framework is applied to a broad range of alternative approaches to industrial location modelling. This framework provides a basis for the comparison of alternative assumptions employed by various location theorists. In a follow-up paper, these observations are used to construct a more general industrial location model from which many others may be derived as ‘special cases’.
The relationship is investigated between facility size and distance travelled to reach facilities... more The relationship is investigated between facility size and distance travelled to reach facilities. A model is presented of the optimum facility size in relation to size benefits and travel costs. The dynamics of change turn out to be described by the fold catastrophe. The behaviour characterised by the model is analysed in relation to various delay conventions. The implications for the conventional shopping model are explored and an alternative model is presented.
A number of mechanisms are explored for modelling equilibrium values of attractiveness terms in p... more A number of mechanisms are explored for modelling equilibrium values of attractiveness terms in production-constrained spatial-interaction models. They include revenue and facility-size balancing, a differential-equation representation of profit maximisation, and mathematical-programming formulations. The different methods turn out to be closely related but offer different and complementary insights. Some dynamic properties of such equilibrium points are explored, including the identification of circumstances which generate discrete changes for smooth changes in parameters. A number of possible algorithms for calculating the points are described.
Trade flows are characterised by interdependent economic networks such as the global supply chain... more Trade flows are characterised by interdependent economic networks such as the global supply chain, international bilateral agreements, trans-national credit, and foreign direct investments, as well as non-economic components (i.e. infrastructures, cultural ties and spatial barriers). We construct an Interdependent Multi-layer Model (IMM), which is rooted in the theoretical concept of spatial interaction, in order to identify the links within these networks and trace their impacts on trade flows. In our aim to investigate horizontal and vertical interdependency among networks we calibrate the interaction model (IMM) for a set of 40 countries, and thereafter examine the influence of shocks such as economic downturns upon the interdependent networks, which in our model are represented as economic, socio-cultural and physical layers.
Most importantly, the model allows us to understand the propagation of cascading effects (both positive and negative) at national and global scales.
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Most importantly, the model allows us to understand the propagation of cascading effects (both positive and negative) at national and global scales.