V2EX spatial-lag-model

Spatial Lag Model

释义 Definition

空间滞后模型(Spatial Lag Model):空间计量经济学中常用的一类回归模型,用来刻画“一个地区/个体的因变量会受到邻近地区/个体因变量影响”的现象。模型通常在因变量一侧加入其空间滞后项(即邻居的加权平均),常见形式为:
\( y = \rho W y + X\beta + \varepsilon \)
其中 \(Wy\) 表示因变量的空间滞后,\(\rho\) 为空间自回归系数,\(W\) 为空间权重矩阵。

发音 Pronunciation (IPA)

/spel l mdl/

例句 Examples

The spatial lag model shows that nearby cities’ housing prices influence each other.
空间滞后模型表明,邻近城市的房价会相互影响。

After controlling for income and education, the spatial lag model still finds significant spillover effects across neighboring counties.
在控制收入与教育水平后,空间滞后模型仍发现相邻县之间存在显著的溢出效应。

词源 Etymology

该术语由三部分构成:spatial(空间的)+ lag(滞后,这里指“邻居变量的滞后/扩散影响”而非时间滞后)+ model(模型)。它强调的是空间相互依赖(spatialdependence):一个位置的结果不仅由自身特征决定,也与周边位置的结果相关。学术写作中也常称为 spatial autoregressive (SAR) model 的核心形式之一。

相关词 Related Words

文献与作品 Literary / Notable Works

  • Anselin, L. Spatial Econometrics: Methods and Models (1988)
  • Cliff, A. D. & Ord, J. K. Spatial Processes: Models & Applications (1981)
  • LeSage, J. P. & Pace, R. K. Introduction to Spatial Econometrics (2009)
  • Elhorst, J. P. Spatial Econometrics: From Cross-Sectional Data to Spatial Panels (2014)
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