Long memory of rivers from spatial aggregation

Mudelsee, Manfred

doi:10.1029/2006wr005721

Cited by 117 publications

(91 citation statements)

References 35 publications

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“…Previous studies identified a positive relationship between H and catchment area (e.g., Mudelsee, 2007;Hirpa et al, 2010;Szolgayova et al, 2014). The increase in long-term dependence has been hypothesized as being due to the increase in storage capacity (e.g., groundwater, inundations) with increasing catchment size.…”

Section: Resultsmentioning

confidence: 99%

Technical note: Long-term memory loss of urban streams as a metric for catchment classification

Jovanović

Jovanovic

Mejía

et al. 2017

Preprint

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Abstract. 10Urbanisation has been associated with a reduction in the long-term correlation within a streamflow series, quantified by the Hurst exponent (H). This presents an opportunity to use the H exponent as an index for the classification of catchments on a scale from natural to urbanised conditions. However, before using the H exponent as a general index, the relationship between this exponent and level of urbanisation needs to be further examined and verified on catchments with different levels of imperviousness and from different climatic regions. In this 15 study, the H exponent is estimated for 38 (deseasonalized) mean daily runoff time series, 22 from the USA and 16 from Australia, using the traditional rescaled-range statistic (R/S) and the more advanced multi-fractal detrended fluctuation analysis (MF-DFA). Relationships between H and catchment imperviousness, catchment size, annual rainfall and specific mean discharge were investigated. No clear relationship with catchment area was found, and a weak negative relationship with annual rainfall and specific mean streamflow was found only when 20 the R/S method was used. Conversely, both methods showed decreasing values of H as catchment imperviousness increased. The H exponent decreased from around 1.0 for catchments in natural conditions to around 0.6 for highly urbanised catchments. Three significantly different ranges of H exponents were identified, allowing catchments to be parsed into groups with imperviousness lower than 5% (natural), catchments with imperviousness between 5 and 15 % (peri-urban), and catchments with imperviousness larger than 15% (urban). The H exponent thus 25 represents a useful metric to quantitatively assess the impact of catchment imperviousness on streamflow regime.

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Section: Resultsmentioning

confidence: 99%

Technical note: Long-term memory loss of urban streams as a metric for catchment classification

Jovanović

Jovanovic

Mejía

et al. 2017

Preprint

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“…As noted above, the negative late-summer ENSO-flow association may additionally reflect earlier (later) exhaustion of the seasonal snowpack due to a warmer (cooler) preceding spring under El Niño (La Niña) conditions. River discharge recession to baseflow following the spring snowmelt peak reflects, in large part, catchment-scale water storage and release mechanisms -and broadly speaking, these processes can be profoundly nonlinear (e.g., [40,59]). Although the causal pathway whereby such nonlinearities might in turn specifically generate the nonlinear streamflow-climate relationship observed here is yet to be determined, there is abundant general precedent for fundamental modifications of streamflow teleconnections by various terrestrial hydrologic characteristics and processes (e.g., [9,22,32,61]).…”

Section: Discussionmentioning

confidence: 99%

Seasonal flows of international British Columbia-Alaska rivers: The nonlinear influence of ocean-atmosphere circulation patterns

Fleming

Hood

Dahlke

et al. 2016

Advances in Water Resources

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a b s t r a c tThe northern portion of the Pacific coastal temperate rainforest (PCTR) is one of the least anthropogenically modified regions on earth and remains in many respects a frontier area to science. Rivers crossing the northern PCTR, which is also an international boundary region between British Columbia, Canada and Alaska, USA, deliver large freshwater and biogeochemical fluxes to the Gulf of Alaska and establish linkages between coastal and continental ecosystems. We evaluate interannual flow variability in three transboundary PCTR watersheds in response to El Niño-Southern Oscillation (ENSO), Pacific Decadal Oscillation (PDO), Arctic Oscillation (AO), and North Pacific Gyre Oscillation (NPGO). Historical hydroclimatic datasets from both Canada and the USA are analyzed using an up-to-date methodological suite accommodating both seasonally transient and highly nonlinear teleconnections. We find that streamflow teleconnections occur over particular seasonal windows reflecting the intersection of specific atmospheric and terrestrial hydrologic processes. The strongest signal is a snowmelt-driven flow timing shift resulting from ENSO-and PDO-associated temperature anomalies. Autumn rainfall runoff is also modulated by these climate modes, and a glacier-mediated teleconnection contributes to a late-summer ENSO-flow association. Teleconnections between AO and freshet flows reflect corresponding temperature and precipitation anomalies. A coherent NPGO signal is not clearly evident in streamflow. Linear and monotonically nonlinear teleconnections were widely identified, with less evidence for the parabolic effects that can play an important role elsewhere. The streamflow teleconnections did not vary greatly between hydrometric stations, presumably reflecting broad similarities in watershed characteristics. These results establish a regional foundation for both transboundary water management and studies of long-term hydroclimatic and environmental change.Published by Elsevier Ltd.

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“…The outcome of this is the remainder part, which hypothetically should be independent and normally distributed. In the case of discharge time series this is not attainable because the discharge process has a long term memory (Mudelsee, 2007) and implies left censored data with a skew distribution function. Thus the remainder values themselves are still autocorrelated and skew distributed (Fig.…”

Section: Fig 6 Decomposition Of Daily Discharge Time Series Y(t) Ofmentioning

confidence: 99%

Revising time series of the Elbe river discharge for flood frequency determination at gauge Dresden

Bartl

Schümberg

Deutsch

2009

Nat. Hazards Earth Syst. Sci.

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Abstract. The German research programme RIsk MAnagment of eXtreme flood events has accomplished the improvement of regional hazard assessment for the large rivers in Germany. Here we focused on the Elbe river at its gauge Dresden, which belongs to the oldest gauges in Europe with officially available daily discharge time series beginning on 1 January 1890. The project on the one hand aimed to extend and to revise the existing time series, and on the other hand to examine the variability of the Elbe river discharge conditions on a greater time scale. Therefore one major task were the historical searches and the examination of the retrieved documents and the contained information. After analysing this information the development of the river course and the discharge conditions were discussed. Using the provided knowledge, in an other subproject, a historical hydraulic model was established. Its results then again were used here. A further purpose was the determining of flood frequency based on all pre-processed data. The obtained knowledge about historical changes was also used to get an idea about possible future variations under climate change conditions. Especially variations in the runoff characteristic of the Elbe river over the course of the year were analysed. It succeeded to obtain a much longer discharge time series which contain fewer errors and uncertainties. Hence an optimized regional hazard assessment was realised.

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Long memory of rivers from spatial aggregation

Cited by 117 publications

References 35 publications

Technical note: Long-term memory loss of urban streams as a metric for catchment classification

Technical note: Long-term memory loss of urban streams as a metric for catchment classification

Seasonal flows of international British Columbia-Alaska rivers: The nonlinear influence of ocean-atmosphere circulation patterns

Revising time series of the Elbe river discharge for flood frequency determination at gauge Dresden

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