Inland waters are part of a global circulatory system, delivering terrestrial elements and water to the ocean. As early as the 15th century, da Vinci noted that this delivery system has components that are predictable and provide an opportunity for scaling. Precipitation and discharge events have frequency and distribution curves. Drainage networks have self-similar properties that can be simplified using mathematical expressions. Streams have a hydraulic geometry that can be quantified and are similar across landscapes. These relationships will be presented in the context of drainage network biogeochemistry. Specifically, utilization of these relationships will be developed to demonstrate approaches to model DOM dynamics within a basin, including DOC fluxes off the landscape, reactions during transport and coastal export.