  We analyze the spatial variation in the response of the surface geomagnetic
field (or the equivalent ionospheric current) to variations in the solar wind.
Specifically, we regress a reanalysis of surface external and induced magnetic
field (SEIMF) variations onto measurements of the solar wind. The regression is
performed in monthly sets, independently for 559 regularly spaced locations
covering the entire northern polar region above 50 magnetic latitude. At each
location, we find the lag applied to the solar wind data that maximizes the
correlation with the SEIMF. The resulting spatial maps of these independent
lags and regression coefficients provide a model of the localized SEIMF
response to variations in the solar wind, which we call {\guillemotleft}Spatial
Information from Distributed Exogenous Regression.{\guillemotright} We find
that the lag and regression coefficients vary systematically with ionospheric
region, season, and solar wind driver. In the polar cap region the SEIMF is
best described by the (B$_{y}$) component of the interplanetary magnetic field
(50-75% of total variance explained) at a lag the SEIMF is best described by
the solar wind that varies with season and magnetic local time (MLT), from
$\sim$15-20 min for dayside and afternoon MLT (except in Oct-Dec) to typically
30-40 min for nightside and morning MLT and even longer (60-65 min) around
midnight MLT.
