V2EX spatial lag model

Spatial Lag Model

Definition / 定义

空间滞后模型(Spatial Lag Model, SLM)是空间计量经济学中常用的一类回归模型,用来刻画某个地区(或空间单元)的因变量会受到邻近地区因变量影响的情形。它通常通过在方程中加入空间滞后项来表达这种“相互影响/溢出效应”:

  • 典型形式:\( y = \rho Wy + X\beta + \varepsilon \)
    其中 \(W\) 是空间权重矩阵,\(Wy\) 是邻近单元因变量的加权平均,\(\rho\) 衡量空间依赖强度。
    (注:除“最常见”含义外,在更广义的语境里也有人用“spatial lag”指对任意变量做空间滞后,但在计量模型名称中通常特指对 y 的空间滞后。)

Pronunciation / 发音(IPA)

/spel l mdl/

Examples / 例句

We fit a spatial lag model to account for neighborhood spillovers.
我们使用空间滞后模型来刻画邻里之间的溢出效应。

Because housing prices are spatially dependent, the spatial lag model includes \(Wy\) and estimates \(\rho\) to capture endogenous interaction across regions.
由于房价存在空间依赖性,空间滞后模型会加入 \(W\) 并估计 \(\rho\),以刻画地区之间的内生相互作用。

Etymology / 词源

spatial 来自拉丁语 spatium(“空间、距离”),强调“与空间位置/分布有关”;lag 原意是“滞后、落后于”,在统计与计量中引申为“用邻近或前期的信息构成的滞后项”;model 则指用于解释与预测的“模型”。合在一起,“spatial lag model”直观表达了:把空间相邻单元的(通常是因变量的)加权值作为滞后项纳入回归模型

Related Words / 相关词

Notable Works / 文献与著作中的出现

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