Identifying Berlin’s land value map using adaptive weights smoothing

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• 作者：Jens Kolbe ; Rainer Schulz ; Martin Wersing ; Axel Werwatz
• 关键词：Land value ; Adaptive weight smoothing ; Spatial modeling
• 刊名：Computational Statistics
• 出版年：2015
• 出版时间：September 2015
• 年：2015
• 卷：30
• 期：3
• 页码：767-790
• 全文大小：4,288 KB
• 参考文献：Ahlfeldt GM, Maennig W (2010) Impact of sport arenas on land values: evidence from Berlin. Ann Reg Sci 44:205-27CrossRef
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• 作者单位：Jens Kolbe (1) (2)
  Rainer Schulz (3)
  Martin Wersing (3)
  Axel Werwatz (1) (2)
  
  1. Institut für Volkswirtschaftslehre und Wirtschaftsrecht, Technische Universit?t Berlin, Stra?e des 17. Juni 135, 10623, Berlin, Germany
  2. Collaborative Research Center 649 Economic Risk, Humboldt-Universit?t zu Berlin, Berlin, Germany
  3. University of Aberdeen Business School, Edward Wright Building, Dunbar Street, Aberdeen, AB24 3QY, UK
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Statistics
  Statistics
  Probability and Statistics in Computer Science
  Probability Theory and Stochastic Processes
  Economic Theory
  
• 出版者：Physica Verlag, An Imprint of Springer-Verlag GmbH
• ISSN：1613-9658

文摘

We use adaptive weights smoothing (AWS) of Polzehl and Spokoiny (J R Stat Soc Ser B 62:335-54, 2000; Ann Stat 31:30-7, 2003; Probab Theory Relat Fields 135:335-62, 2006) to estimate a map of land values for Berlin, Germany. Our data are prices of undeveloped land that was transacted between 1996 and 2009. Even though the observed land price is an indicator of the respective land value, it is influenced by transaction noise. The iterative AWS applies piecewise constant regression to reduce this noise and tests at each location for constancy at the margin. If not rejected, further observations are included in the local regression. The estimated land value map conforms overall well with expert-based land values. Our application suggests that the transparent AWS could prove a useful tool for researchers and real estate practitioners alike. Keywords Land value Adaptive weight smoothing Spatial modeling