This paper summarises methods for creating maps of river discharge, an
d evaluates them using river flow data from Europe. Most published map
s are isoline maps, but choropleth maps are more appropriate for showi
ng the spatial distribution of river flow. Five approaches to producin
g grid choropleth maps can be identified. The first averages the data
from all the small catchments in a grid cell; this overestimates runof
f. The second involves statistical interpolation around small catchmen
ts, but it,is difficult to account for ah the details of spatial varia
bility in a statistical interpolation. The third method uses empirical
relationships to estimate runoff from gridded climate data; the resul
ts, however, depend on the climate data used. The fourth approach uses
a water balance model to estimate runoff from gridded climate data; i
t also is dependent on the input climate data. A final approach produc
es a weighted cell average based on catchment runoff maps, and this wa
s shown to produce reasonable estimates of gridded runoff.