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 spatio-temporal 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 time scales 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 time scales 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.

中文翻译：

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非线性水文组织

摘要。我们回顾了著名的Stommel图的三个变体，这些变体已被用来总结一些重要水文现象的时空特征尺度的知识，并修改了这些图，侧重于基础水文过程的时空尺度分析。在本文中，我们主要关注土壤的形成，植被的生长和排水网络的组织。我们将现有的比例关系用于植被生长和土壤形成，这两者都指的是相同的基本长度和时间尺度，这些尺度和时间尺度定义了孔隙尺度上的流速，但是幂律的幂与时间和空间有关。最佳地下水流路径的分层组织原则可以作为植被根系横向扩展（rls）和流域盆地组织的基础。为了评估缩放的适用性并扩展Stommel图，已获取了土壤深度，植被根部横向扩散和流域盆地长度的数据。这里考虑的新数据包括对应于最大深度为240 m的深度的150 Myr的时间刻度和长达6400 km的水平长度的刻度，并探讨了流域在时间，深度和水平范围上的发展极限。