Abstract
Though it has often been criticized for providing too crude a rendition of processes underpinning revealed patterns of interaction between geo-referenced entities, spatial interaction modelling has persisted as one of the methodological pillars of several spatial sciences, including regional science, geography and transportation (Fotheringham and O’Kelly 1989; Ortuzar and Willumsen 1994; Sen and Smith 1995; Isard et al. 1998). Traditionally, the spatial interaction model is calibrated by one of several well known fitting and optimization techniques, including leastsquares regression, maximum likelihood, or by numerical heuristics.
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References
Ayeni B. 1982. The testing of hypothesis on interaction data matrices, Geographical Analysis, 14: 79–84.
BacharachM. 1970. Biproportional Matrices and Input-Output Change, Cambridge University Press,Cambridge, UK.
Batty M. 1976. Urban Modeling: Algorithms, Calibrations, Predictions, Cambridge University Press, Cambridge, UK.
Batty M. and Mackie S. 1972. The calibration of gravity, entropy, and related models of spatial interaction, Environment and Planning A, 4: 205–33.
Beale R. and Jackson T. 1990. Neural Computing. An Introduction, Adam Hilger, Bristol, UK.
Bishop C.M. 1995. Neural Networks for Pattern Recognition, Oxford University Press, Oxford, UK.
Black W.R. 1995. Spatial interaction modeling using artificial neural networks, Journal of Transport Geography 3, 3:159–66.
Boots B.N. and Kanaroglou P.S. 1988. Incorporating the effects of spatial structure in discrete choice models of migration, Journal of Regional Science, 28, 4: 495–507.
Broomhead D.S. and Lowe D. 1988. Multi-Variable Functional Interpolation and Adaptive Networks, Complex Systems, 2: 749–61.
Bryson A.E. and Ho Y.-C. 1969. Applied Optimal Control, Blaisdell, New York.
Carpenter G.A. and Grossberg S. 1987a. Invariant pattern recognition and recall by an attentive self-organizing ART architecture in a non-stationary world, Proceedings of IEEE First Int. Conference on Neural Networks, Vol. II, IEEE, San Diego, 737-6.
Carpenter G.A. and Grossberg S. 1987b. ART2: Self-organization of stable category recognition codes for analog input patterns, Applied Optics, 26: 4919–30.
Carpenter G.A., Grossberg S. and Reynolds J.H. 1991. A self-organizing ARTMAP neural architecture of supervised learning and pattern recognition, In R.J. Mammone, and Zevi Y. (eds.) Neural Networks, Theory and Applications, Academic Press, Boston, 43–80.
Cichocki A. and Unbehauen R. 1993. Neural Networks for Optimization and Signal Processing, John Wiley and Sons, Chichester.
Dougherty, M. 1995. A review of neural networks applied to transport, Transportation Research C, 3, 4: 247–60.
Evans A.W. 1971. The calibration of trip distribution models with exponential or similar cost functions, Transportation Research, 5, 1: 15–38.
Fahlman S.E. 1989. Faster-learning variations on back-propagation: an empirical study, in Touretzky D., Hinton G. and Sejnowski T. (eds.) Proceedings of the 1988 Connectionist Models Summer School, Morgan Kaufmann Publishers, San Mateo, CA, 38–51.
Fischer M.M. and Gopal S. 1994. Artificial neural networks: a new approach to modeling interregional telecommunication flows, Journal of Regional Science, 34, 4: 503–27.
Fotheringham A.S. 1981. Spatial structure and distance-decay parameters, Annals of the Association of American Geographers, 71, 3: 425–36.
Fotheringham S. and Knudsen D.C. 1987. Goodness-of-fit statistics. CATMOG series, Geo Abstracts, Norwich, UK.
Fotheringham A.S. and O’Kelly M.E. 1989. Spatial Interaction Models: Formulations and Applications, Kluwer Academic Publishers, London.
Freeman T.A., and Skapura D.M. 1991. Neural Networks: Algorithms, Applications and Programming Techniques, Addison-Wesley, Reading.
Ghosh A. 1984. Parameter nonstationarity in retail choice models, Journal of Business Research, 12: 425–36.
Goodman P.H. 1996. NevProp Software, Version 3, University of Nevada, Reno NV, URL: http://www.scs.unr.edu/nevprop/.
Gopal S. and Fischer M.M. 1996. Learning in single hidden-layer feedforward network: backpropagation in a spatial interaction modeling context, Geographical Analysis, 28, 1: 38–55.
Griffith D.A. and Jones K.G. 1980. Explorations into the relationship between spatial structure and spatial interaction, Environment and Planning A, 12: 187–202. ]
Haykin S.S. 1998. Neural Networks: A Comprehensive Foundation, Prentice Hall, Upper Saddle River, NJ.
Hua J. and Faghri A. 1994. Applications of artificial neural networks to intelligent vehicle-highway systems, Transportation Research Record, 1453: 83–90.
Isard W, Aziz I.J., Drennan M.P., Miler R.E., Saltzman S. and Throbercke E. 1998. Methods of Interregional and Regional Analysis, Ashgate, Aldershot.
Kohonen T. 1997. Self-organizing Maps, Springer-Verlag, Berlin.
Kreinovich V. and Sirisaengtaskin O. 1993. Universal approximators for functions and for control strategies, Neural, Parallel, and Scientific Computations, 1, 3: 325–46.
Lee S. and Kil R.M. 1988. Multilayer feedforward potential function network, IEEE International Conference on Neural Networks, IEEE, Piscataway, NJ, 161–72.
Masters T. 1995. Advanced Algorithms for Neural Networks :A C+ + Sourcebook, John Wiley and Sons, New York.
Mozolin M.V. 1997. Spatial interaction modeling with an artificial neural network, Discussion Paper Series 97-1, Department of Geography, University of Georgia, Athens, GA.
Openshaw S. 1993. Modeling spatial interaction using a neural net, in Fischer M.M. and Nijkamp P. (eds.) Geographic Information Systems, Spatial Modeling and Policy Evaluation, Springer-Verlag, Berlin, 147–64.
Openshaw S. and Openshaw C. 1997. Artificial Intelligence in Geography, John Wiley and Sons, Chichester.
Ortuzar J. deDios and Willumsen L.G. 1994. Modelling Transport, John Wiley, Chichester.
Penfold R., Dufournaud C. and Thill J.-C. 2000. Spatial interaction modeling with Jaynes’ quadratic criterion: II. Spatial structure, Working paper, Department of Geography, University at Buffalo, Buffalo, NY.
Ripley B.D. 1996. Pattern Recognition and Neural Networks, Cambridge University Press, Cambridge, UK.
Rojas P. 1996. Neural Networks: A Systematic Introduction, Springer-Verlag, New York.
Rumelhart D.E., Hinton G.E., and Williams R.J. 1986. Learning representations by back-propagating errors, Nature, 323 (9 October): 533–36.
Sarle W.S. (ed.) 1997. Neural Network FAQ, part 1 of 7: Introduction, periodic posting to the Usenet newsgroup comp.ai.neural-nets. URL: ftp.sas.com/pub/neural/FAQ.html.
Sen A.K. and Smith T.E. 1995. Gravity Models of Spatial Interaction Behavior, Springer-Verlag, Berlin.
Sheppard E.S. 1976. Entropy, theory construction and spatial analysis, Environment and Planning A, 8: 741–52.
Slater P.B. 1976. Hierarchical internal migration regions of France, IEEE Transactions on Systems, Man, and Cybernetics, 6,4: 321–24.
Smetanin Y.G. 1995. Neural networks as systems for pattern recognition: a review, Pattern Recognition and Image Analysis 5,2: 254–93.
Smith M. 1993. Neural Networks for Statistical Modeling, Van Nostrand Reinhold, New York.
Snickars F. and Weibull J.W. 1977. A minimum information principle: theory and practice, Regional Science and Urban Economics 7: 137–68.
Thomas R.W. and Hugget R.J. 1980. Modeling in Geography: A Mathematical Approach, Barnes and Noble, Totowa, NJ.
U.S. Department of Commerce. 1983. 1980 Census of Population and Housing, Census Tracts, Atlanta, GA. PHC80-2-77, Washington, DC,
U.S. Department of Commerce, Bureau of the Census. U.S. Department of Transportation. Bureau of Transportation Statistics. 1993. 1990 Census Transportation Planning Package, Washington, DC, U.S. Department of Transportation, Bureau of Transportation Statistics, CD.
Williams P.A. and Fotheringham A.S. 1984. The Calibration of Spatial Interaction Models by Maximum Likelihood Estimation with Program SIMODEL, Geographic Monograph Series, Volume 7, Department of Geography, Indiana University, Bloomington, IN.
Wilson A.G. 1970. Entropy in Urban and Regional Modeling, Pion, London.
Yun S.-Y., Namkoong S., Rho J.-H., Shin S.-W. and Choi J.-U. 1998. A performance evaluation of neural network models in traffic volume forecasting, Mathematical Computing and Modelling, 27, 9-11: 293–310.
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Thill, JC., Mozolin, M. (2000). Feedforward Neural Networks for Spatial Interaction: Are They Trustworthy Forecasting Tools?. In: Reggiani, A. (eds) Spatial Economic Science. Advances in Spatial Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59787-9_17
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DOI: https://doi.org/10.1007/978-3-642-59787-9_17
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