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  4. Stochastic modeling of nutrient losses in streams: Interactions of climatic, hydrologic, and biogeochemical controls
 
research article

Stochastic modeling of nutrient losses in streams: Interactions of climatic, hydrologic, and biogeochemical controls

Botter, G.
•
Basu, N. B.
•
Zanardo, S.
Show more
2010
Water Resources Research

We present an analytical, stochastic approach for quantifying intra-annual fluctuations of in-stream nutrient losses induced by naturally variable hydrologic conditions. The relevance of the problem we address lies in the growing concern for the major environmental impacts of increasing nutrient loads from watersheds to freshwater bodies and coastal waters. Here we express the first-order nutrient loss rate constant, k(e), as a function of key biogeochemical and hydrologic controls, in particular the stream depth (h). The stage h modulates the impact of natural streamflow temporal fluctuations (induced by intermittent rainfall forcings) on the underlying biogeochemical processes and thus represents the major driver of at-a-site fluctuations of k(e). Novel expressions for the probability distribution function (pdf) of h and k(e) are derived as a function of a few eco-hydrologic, morphologic and biogeochemical parameters. The shape of such pdf's chiefly depends on the following attributes: (1) the average frequency of streamflow-producing rainfall events, lambda; (2) the inverse of mean catchment residence time, k; and (3) a stream channel shape factor, identified through the discharge rating curve exponent b. For lambda/(kb) > 1, h and k(e) have lower intra-annual variability and lower sensitivity to climatic and morphologic controls, leading to improved predictability and ease of measurement of these attributes. Moment analyses suggest that the variability of k(e), relative to that of h, is attenuated for lambda/(kb) > 1. Thus, the interplay between climate-landscape parameters and the stream shape factor b controls the temporal variability induced by stochastic rainfall forcings on stream stages and nutrient removal rates.

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Type
research article
DOI
10.1029/2009WR008758
Web of Science ID

WOS:000280724000004

Author(s)
Botter, G.
Basu, N. B.
Zanardo, S.
Rao, P. S. C.
Rinaldo, A.  
Date Issued

2010

Publisher

American Geophysical Union

Published in
Water Resources Research
Volume

46

Issue

8

Article Number

W08509

Subjects

Transient Storage Model

•

Solute Transport

•

Phosphorus Retention

•

Parameter-Estimation

•

Northeastern Usa

•

Nitrogen-Cycle

•

Exchange

•

Denitrification

•

Rivers

•

Terrestrial

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
ECHO  
Available on Infoscience
January 28, 2011
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/63523
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