Abstract. We revisit three variants of the well-known Stommel diagrams that have been
used to summarize knowledge of characteristic scales in time and space of some
important hydrologic phenomena and modified these diagrams focusing on
spatiotemporal scaling analyses of the underlying hydrologic processes. In
the present paper we focus on soil formation, vegetation growth, and drainage
network organization. We use existing scaling relationships for vegetation
growth and soil formation, both of which refer to the same fundamental length
and timescales defining flow rates at the pore scale but different powers of
the power law relating time and space. The principle of a hierarchical
organization of optimal subsurface flow paths could underlie both root lateral
spread (RLS) of vegetation and drainage basin organization. To assess the
applicability of scaling, and to extend the Stommel diagrams, data for soil
depth, vegetation root lateral spread, and drainage basin length have been
accessed. The new data considered here include timescales out to
150 Myr that correspond to depths of up to 240 m and
horizontal length scales up to 6400 km and probe the limits of
drainage basin development in time, depth, and horizontal extent.