Using Two Parallel Linear Reservoirs to Express Multiple Relations of Power-Law Recession Curves

Gao, Man; Chen, Xi; Liu, Jintao; Zhang, Zhicai; Cheng, Qinbo

doi:10.1061/(asce)he.1943-5584.0001518

Cited by 14 publications

(26 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We acknowledge that there are other ways to create watershed memory that would also generate variability in apparent recession parameters and would be worthwhile to consider. For example, following previous works that have shown that multiple linear reservoirs can generate power law recessions (Clark et al, 2009;Harman et al, 2009), one could explore combinations of parallel linear reservoirs with varying sizes and recession constants under time-varying recharge. However, based on the results of Harman et al (2009) using periodic recharge events, it is not clear that this would lead to a distribution of recession curves of varying b values like what is seen in Fig.…”

Section: Discussionmentioning

confidence: 99%

“…Values of b > 2 have been derived from the physical theory for the early portion of a recession (Brutsaert and Nieber, 1977;Rupp and Selker, 2005) or can be obtained from recession curves over a finite time period while retaining physical realism by combining discharge from multiple linear (b = 1) or non-linear (1 < b < 2) reservoirs (e.g., McMillan et al, 2011). The effect on b of combining linear reservoirs in parallel (e.g., Clark et al, 2009;Gao et al, 2017;Harman et al, 2009) and series (e.g., Rupp et al, 2009;Wang, 2011) has received much more attention. We compared three hypothetical time series generated with different assumptions about the distribution of the magnitudes and inter-arrival times of recharge events and the superposition of recession events (Table 1).…”

Section: Synthetic-hydrograph Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Recession analysis revisited: impacts of climate on parameter estimation

Jachens

Rupp

Roques

et al. 2020

Hydrol. Earth Syst. Sci.

View full text Add to dashboard Cite

Abstract. Recession analysis is a classical method in hydrology to assess watersheds' hydrological properties by means of the receding limb of a hydrograph, frequently expressed as the rate of change in discharge (-dQ/dt) against discharge (Q). This relationship is often assumed to take the form of a power law -dQ/dt=aQb, where a and b are recession parameters. Recent studies have highlighted major differences in the estimation of the recession parameters depending on the method, casting doubt on our ability to properly evaluate and compare hydrological properties across watersheds based on recession analysis of -dQ/dt vs. Q. This study shows that estimation based on collective recessions as an average watershed response is strongly affected by the distributions of event inter-arrival time, magnitudes, and antecedent conditions, implying that the resulting recession parameters do not represent watershed properties as much as they represent the climate. The main outcome from this work highlights that proper evaluation of watershed properties is only ensured by considering independent individual recession events. While average properties can be assessed by considering the average (or median) values of a and b, their variabilities provide critical insight into the sensitivity of a watershed to the initial conditions involved prior to each recharge event.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Synthetic-hydrograph Methodsmentioning

confidence: 99%

Recession analysis revisited: impacts of climate on parameter estimation

Jachens

Rupp

Roques

et al. 2020

Hydrol. Earth Syst. Sci.

View full text Add to dashboard Cite

show abstract

“…Frozen ground degradation can modify surface conditions and change the thawed active layer storage capacity in alpine catchments (Niu et al, 2011). Thawing of frozen ground increases surface water infiltration, supports deeper groundwater flow paths and subsequently enlarges groundwater storage, which is expected to have a profound effect on flow regimes (Kooi et al, 2009;Bense et al, 2012;Walvoord and Striegl, 2007;Woo et al, 2008;Ge et al, 2011;Walvoord and Kurylyk, 2016;Li et al, 2018;. For example, suggested that ground ice may be a potential water source in continuous permafrost regions of the central TP under global warming.…”

Section: Introductionmentioning

confidence: 99%

Understanding the effects of climate warming on streamflow and active groundwater storage in an alpine catchment: the upper Lhasa River

Lin

Gao

Liu

et al. 2020

Hydrol. Earth Syst. Sci.

Self Cite

View full text Add to dashboard Cite

Abstract. Climate warming is changing streamflow regimes and groundwater storage in cold alpine regions. In this study, the Yangbajain headwater catchment in the Lhasa River basin is adopted as the study area to assess streamflow changes and active groundwater storage in response to climate warming. The results show that both annual streamflow and the mean air temperature increase significantly at respective rates of about 12.30 mm per decade and 0.28 ∘C per decade from 1979 to 2013 in the study area. The results of gray relational analysis indicate that the air temperature acts as a primary factor for the increased streamflow. Due to climate warming, the total glacier volume has retreated by over 25 % during the past 50 years, and the areal extent of permafrost has degraded by 15.3 % over the last 20 years. Parallel comparisons with other subbasins in the Lhasa River basin indirectly reveal that the increased streamflow at the Yangbajain Station is mainly fed by the accelerated glacier retreat. Using baseflow recession analysis, we also find that the estimated groundwater storage that is comparable with the GRACE data increases significantly at rates of about 19.32 mm per decade during the abovementioned period. That is to say, as permafrost thaws, more spaces have been made available to accommodate the increasing meltwater. Finally, a large water imbalance (of more than 5.79×107 m3 a−1) between the melt-derived runoff and the actual increase in runoff as well as the groundwater storage is also observed. The results from this study suggest that the impacts of glacial retreat and permafrost degradation show compound behaviors on the storage–discharge mechanism due to climate warming, and that this fundamentally affects the water supply and the mechanisms of streamflow generation and change.

show abstract

“…The method of recession flow analysis is widely used to investigate the baseflow recession characteristics and the storage discharge relationship of catchments (Gao et al, 2017). Physical considerations based on hydraulic groundwater theory suggest that the groundwater storage in a catchment can be approximated as a power function of baseflow rate at the catchment outlet (Brutsaert, 2008)…”

Section: Determination Of Active Groundwater Storagementioning

confidence: 99%

Quantifying streamflow and active groundwater storage in response to climate warming in an alpine catchment on the Tibetan Plateau

Lin

Gao

Liu

et al. 2018

Preprint

Self Cite

View full text Add to dashboard Cite

Abstract. Climate warming is changing streamflow regimes and groundwater storage in cold alpine regions. In this study, a headwater catchment named Yangbajain in the Lhasa River basin on the Tibetan Plateau is adopted as the study area for quantifying streamflow changes and active groundwater storage in response to climate warming. The catchment is characterized by alpine glacier and frozen ground which covers about 11 % and 86 % of the total area, respectively. The changes in streamflow regimes (including quickflow and baseflow) and climate factors are evaluated based on hydro-meteorological observations from 1979 to 2013. Then active groundwater storage in autumn and early winter is quantified by recession flow analysis assuming nonlinearized outflow from aquifers into streams. The results show that annual streamflow increases significantly at a rate of about 12.30 mm/10a during this period. The significant increase of annual air temperature compared with nonsignificant variation of annual precipitation indicates that the climate warming takes responsibilities to the increase of streamflow. It is believed that the increased streamflow is mainly fed by glacier meltwater, which has led to over 25 % loss of the total glacial volume in the past 50 years (1960–2009) in this catchment. Moreover, the significant increase of annual baseflow at a rate of about 10.95 mm/10a is the dominant factor for the increase of the total streamflow. Through recession flow analysis, we find that recession coefficient K and active groundwater storage S in autumn and early winter increase significantly at the rates of about 7.70 (mm0.79d−0.21)/10a and 19.32 mm/10a during these years. The increase of active groundwater storage can partly be explained by frozen ground degradation, which lead to the enlargement of groundwater storage capacity and accommodate more summer rainfall and meltwater in the wide and flat valley, and then slowly release them into streams in the following seasons. Thus, it is reasonable to attribute the increase of baseflow and the slowdown of baseflow recession process in autumn and early winter to the enlargement of groundwater storage capacity. Through quantifying streamflow changes and active groundwater storage in response to warming-induced changes, this study provides a perspective to clarify the way of glacial retreat and frozen ground degradation on hydrological processes.

show abstract

Using Two Parallel Linear Reservoirs to Express Multiple Relations of Power-Law Recession Curves

Cited by 14 publications

References 48 publications

Recession analysis revisited: impacts of climate on parameter estimation

Recession analysis revisited: impacts of climate on parameter estimation

Understanding the effects of climate warming on streamflow and active groundwater storage in an alpine catchment: the upper Lhasa River

Quantifying streamflow and active groundwater storage in response to climate warming in an alpine catchment on the Tibetan Plateau

Contact Info

Product

Resources

About