The Anisotropic Spatiotemporal Estimation of Housing Prices
Tóm tắt
This paper develops a method to identify three-dimensional anisotropic spatiotemporal autocorrelation with an application to real estate markets. A large literature modeling spatiotemporal autocorrelation in house prices assumes that the spatiotemporal dependence structure is isotropic: a function of only distances between observations, and therefore the direction effect is dismissed. If the importance of direction is dismissed or understated, an estimation result would be biased and therefore less precise unless the distribution of observations is in rare case of being directional homogeneous. This paper thus proposes a local anisotropic spatiotemporal approach to improve estimation performance. The methodology is illustrated by using data on single-family house transactions in the San Francisco Bay Area. The empirical results suggest that the proposed three-dimensional anisotropic modeling technique can reduce both in-sample estimation and out-of-sample forecast errors.
Tài liệu tham khảo
Altman, S. L. (1986). Rotations, Quaternions, and Double Groups. Oxford: Clarendon.
Apostol, T. (1969). Calculus, Volume II (2nd ed.), New York: Wiley.
Colwell, P. F., & Munneke, H. J. (2009). Directional Land Value Gradients. Journal of Real Estate Finance and Economics, 39, 1–23.
Dubé, J., & Legros, D. (2013). A spatio-temporal measure of spatial dependence: an example using real estate data. Papers in Regional Science, 92(1), 19–30.
Gillen, K., Thibodeau, T. G., & Wachter, S. (2001). Anisotropic Autocorrelation in Housing Prices. Journal of Real Estate Finance and Economics, 23(1), 5–30.
Hamilton, W. R. (1969). Elements of Quaternions. New York: Chelsea Publication Company.
Journel, A. G., & Huijbregts, C. J. (1978). Mining Geostatistics. London: Academic.
Kuipers, J. B. (1999). Quaternions and Rotation Sequences: a Primer with Applications to Orbits, Aerospace, and Virtual Reality. Princeton: Princeton University Press.
Oden, N. L., & Sokal, R. R. (1986). Directional Autocorrelation: An Extension of Spatial Correlograms to Two Dimensions. Systematic Zoology, 35, 608–617.
Pace, R. K., Barry, R., Clapp, J., & Rodriguez, M. (1998). Spatial–temporal Estimation of Neighborhood Effects. Journal of Real Estate Finance and Economics, 17, 15–33.
Pace, R. K., Barry, R., Gilley, O. W., & Sirmans, C. F. (2000). A Method for Spatial- temporal Forecasting with an Application to Real Estate Prices. International Journal of Forecasting, 16, 229–246.
Simon, G. (1997). An Angular Version of Spatial Correlations, with Exact Significance Tests. Geographical Analysis, 29(3), 267–278.
Zhu, B., Füss, R., & Rottke, N. B. (2011). The Predictive Power of Anisotropic Spatial Correlation Modeling in Housing Prices. Journal of Real Estate Finance and Economics, 42(4), 542–565.