Sequential Threshold-Spatial-Quantile Panel Estimation
Implements a sequential panel estimation protocol for regional
economic panels that combines three estimation layers in a fixed order.
The first layer applies a two-way fixed effects baseline. The second
layer applies the panel threshold regression method of Hansen (1999)
to identify structural breaks at an
unknown threshold of a moderating variable, with bootstrap inference
following Hansen (2000) . The third layer
applies a spatial Durbin model with an impact decomposition following
LeSage and Pace (2009, ISBN:978-1-4200-6424-7) to quantify direct and
indirect spillover effects. The fourth layer applies the two-step panel
quantile estimator of Canay (2011)
to document distributional heterogeneity in the outcome. The threshold
identified in the second layer defines a subsample used as structured
input to the fourth layer, and a consistency check evaluates whether the
three sets of results are jointly compatible with a common underlying
structural relationship. An illustrative panel of 33 districts of the
state of Maharashtra, India, observed over 10 agricultural years, is
included with the package.