Abstract
The price of housing per square meter and the trend observed over the last few years is one of the issues that most concerns Spanish citizens and subsequently their political and economic representatives. However, in spite of the importance of space in the real estate market, official averages do not take into account the spatial correlation of housing prices. In order to solve this handicap, we propose the kriging the mean method to estimate mean housing prices. This method provides the best unbiased linear estimation taking into account spatially correlated data.
Similar content being viewed by others
Notes
The covariance function has been taken from Cressie (1993), p. 14. This function is obtained from an autorregresive first-order process, \( X\left( {{s_i}} \right) = \rho X\left( {{s_{i - 1}}} \right) + \varepsilon \left( {{s_i}} \right)\quad i \geqslant 1 \), where ε(si) are random independent and equally distributed Gaussian variables with null mean and variance σ2 (1−ρ2), independent from X (s i−1). Nevertheless, in this article \( X \equiv \left( {X\left( {{s_1}} \right), \ldots, X\left( {{s_n}} \right)} \right) \) are spatial data in ℝ2 so that the prediction of X(s 0) or \( X\left( {{s_{{\raise0.7ex\hbox{$3$} \!\mathord{\left/{\vphantom {3 2}}\right.}\!\lower0.7ex\hbox{$2$}}}}} \right) \) is so appropriated as the one from X (s n+1).
References
Case, B., Clapp, J. M., Dubin, R. A., & Rodríguez, M. (2004). Modeling spatial and temporal house price patterns: a comparison of four models. Journal of Real Estate Finance and Economics, 29(2), 167–191.
Clapp, J. M., Kim, H. J., & Gelfand, A. E. (2002). Predicting spatial patterns of house prices using LPR and bayesian smoothing. Real Estate Economics, 30(4), 505–532.
Cressie, N. A. C. (1993). Statistics for spatial data. New York: John Wiley & Sons.
Din, A., Hoesli, M., & Bender, A. (2001). Environmental variables and real estate prices. Urban Studies, 38(11), 1989–2000.
Dubin, R. A. (1998). Predicting house prices using multiple listing data. Journal of Real Estate Finance and Economics, 17(1), 144–164.
Gámez, M., Montero, J. M., & García, N. (2000). Kriging methodology for regional economic analysis. International Advances in Economic Research, 6(3), 438–450.
Gelfand, A. E., Ecker, M. J., Knight, J. R., & Sirmans, C. F. (2004). The dynamics of location in home price. Journal of Real Estate Finance and Economics, 29(2), 149–166.
Grenander, U. (1954). On the estimation of regression coefficients in the case of an autocorrelated disturbance. Annals of Mathematical Statistics, 25, 252–272.
Grenander, U., & Rosenblatt, M. (1984). Statistical analysis of stationary time series (2nd ed.). New York: Chelsea Publishing Co.
Han, S. S. (2004). Spatial structure of residential property-value distribution in Beijing and Jakarta. Environment and Planning A, 36(7), 1259–1283.
Haining, R. P. (1988). Estimating spatial means with an application to remotely sensed data, Communications in Statistics. Theory and Methods, 17, 573–597.
Larraz-Iribas, B., & Alfaro-Navarro, J. L. (2008). Asymmetric behaviour of spanish regional house prices. International Advances in Economic Research, 14(4), 407–421.
Ministerio de Vivienda (2008a). Notas Metodológicas. http://www.mviv.es
Ministerio de Vivienda (2008b). Estadística de Precios de Vivienda. http://www.mviv.es
Montero-Lorenzo, J. M., & Larraz-Iribas, B. (2006a). Estimación espacial del precio de la vivienda mediante métodos de krigeado. Revista de Estadística Española, 48(162), 201–240.
Montero-Lorenzo, J. M., & Larraz-Iribas, B. (2006b). Estimating housing prices: kriging the mean-research note. International Advances in Economic Research, 12(2), 419.
Montero-Lorenzo, J. M., & Larraz-Iribas, B. (2008). Introducción a la Geoestadística Lineal. A Coruña: Editorial Netbiblo.
Rodríguez, J. (2007). 1997–2007: el auge inmobiliario más largo, gracias al euro. Clm.economía, 11, 9–36.
Yiu, C. Y., & Tam, C. S. (2007). Housing price gradient with two workplaces—An empirical study in Hong Kong. Regional Science and Urban Economics, 37(3), 413–429.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Montero, J.M., Larraz, B. Estimating Housing Prices: A Proposal with Spatially Correlated Data. Int Adv Econ Res 16, 39–51 (2010). https://doi.org/10.1007/s11294-009-9244-5
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11294-009-9244-5