analysis of a changing hydrologic flood regime using the variable infiltration capacity model-libre

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Analysis of a changing hydrologic flood regime using the Variable Infiltration Capacity model Daeryong Park a , Momcilo Markus b,a Civil and Environmental System Engineering, Konkuk University, 1 Hwayang-dong, Gwangjin-gu, Seoul 143-701, South Korea b Illinois State Water Survey, Prairie Research Institute, University of Illinois at Urbana-Champaign, 2204 Griffith Dr., Champaign, IL 61820, USA article info Article history: Received 7 June 2013 Received in revised form 3 April 2014 Accepted 2 May 2014 Available online 14 May 2014 This manuscript was handled by Laurent Charlet, Editor-in-Chief, with the assistance of Georgia Destouni, Associate Editor Keywords: VIC model Climate change Flood frequency Hydrologic change Snow hydrology summary The Pecatonica River and several other streams in the Wisconsin Driftless area show a decreasing trend in annual peak flows. Previous studies of the Pecatonica River detected a significant decreasing historical trend in late winter snowmelt-driven floods, while the rainfall-driven spring and summer flood peaks exhibited no significant trend during the period of record. Unlike several previous studies which attribute the decline in flood peaks mainly to changes in land management, we hypothesize that climate change had a significant contribution to the overall decrease in flood peaks. In particular, we hypothesize that the increase in winter temperatures caused the decrease in snow depth, which in turn resulted in a decreasing trend in flood peaks. In an attempt to validate this hypothesis, we used long-term daily pre- cipitation, temperature, and river flow data observed in the watershed as inputs to the Variable Infiltra- tion Capacity (VIC) model to generate other non-monitored climatic variables. Trends in these climatic variables were then related to the trend in flood peaks in the Pecatonica River. Due to the complexity of the hydrologic system and numerous data and modeling-related uncertainties, the above hypothesis cannot be validated with certainty. Nonetheless, the results in two different modes (event and continuous simulation) provide support to the speculation that the decreasing trend in flood peaks was a result of decreasing snow depth. The model runs resulted in a decrease in snow depths for the period of record (1915–2009), increase in sublimation and evaporation, no change in base flow, and mixed results in infil- tration. These analyses also suggest that VIC can be used in other similar regions in snowmelt-driven flood peak studies. It should be recognized, however, that the success of these applications can be severely constrained by various uncertainties, including but not limited to, the poor quality or absence of snow depth data. Ó 2014 Elsevier B.V. All rights reserved. 1. Introduction Many studies on the effects of climate change on water resources have been published in the past several years. These studies have investigated historical trends in streamflow, precipi- tation, and various other variables. Among the studies related to streamflow trends, most focus on the trends of seasonal and annual streamflow (Regonda et al., 2005; Hamlet et al., 2005, 2007; Mishra et al., 2010; Sinha et al., 2010). Relatively fewer studies have focused on extreme events. Hirsch and Ryberg (2012) studied the relationships between annual floods at 200 long-term streamgages in the conterminous United States and the global mean carbon dioxide concentration. They found no correlation between global mean carbon dioxide concentration and flooding, except for a negative relationship between GMCO2 and flood magnitudes in the southwestern United States. Markus et al. (2007, 2012) and Hejazi and Markus (2009) studied the frequency of flooding as a result of the increasing intensity and frequency of heavy storms and the increase in urbanization. Cunderlik and Ouarda (2009) detected a significant number of stations with negative trends in the magnitude of snowmelt-generated floods. Trends in peak streamflows also have been studied by means of observed data analysis (Lins and Slack, 1999; Novotny and Stefan, 2007). Lins and Slack (1999) investigated trends in minimum, median, and maximum annual flows at 395 daily streamflow stations for 1944–1993 in the United States. They found that a majority of sta- tions exhibited a decreasing trend in annual maximum flow. How- ever, for annual median and annual minimum flows, a majority of the stations had an increasing trend. Regonda et al. (2005) ana- lyzed observed weather data in the western United States and found that peak flow timing had shifted to earlier months, caused http://dx.doi.org/10.1016/j.jhydrol.2014.05.004 0022-1694/Ó 2014 Elsevier B.V. All rights reserved. Corresponding author. Tel.: +1 217 333 0237; fax: +1 217 333 2304. E-mail address: [email protected] (M. Markus). Journal of Hydrology 515 (2014) 267–280 Contents lists available at ScienceDirect Journal of Hydrology journal homepage: www.elsevier.com/locate/jhydrol

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  • Analysis of a changing hydrologic flood regime using the Variable

    Infiltration Capacity model

    Daeryong Park a, Momcilo Markus b,

    aCivil and Environmental System Engineering, Konkuk University, 1 Hwayang-dong, Gwangjin-gu, Seoul 143-701, South Koreab Illinois State Water Survey, Prairie Research Institute, University of Illinois at Urbana-Champaign, 2204 Griffith Dr., Champaign, IL 61820, USA

    a r t i c l e i n f o

    Article history:

    Received 7 June 2013

    Received in revised form 3 April 2014

    Accepted 2 May 2014

    Available online 14 May 2014

    This manuscript was handled by Laurent

    Charlet, Editor-in-Chief, with the assistance

    of Georgia Destouni, Associate Editor

    Keywords:

    VIC model

    Climate change

    Flood frequency

    Hydrologic change

    Snow hydrology

    s u m m a r y

    The Pecatonica River and several other streams in the Wisconsin Driftless area show a decreasing trend in

    annual peak flows. Previous studies of the Pecatonica River detected a significant decreasing historical

    trend in late winter snowmelt-driven floods, while the rainfall-driven spring and summer flood peaks

    exhibited no significant trend during the period of record. Unlike several previous studies which attribute

    the decline in flood peaks mainly to changes in land management, we hypothesize that climate change

    had a significant contribution to the overall decrease in flood peaks. In particular, we hypothesize that

    the increase in winter temperatures caused the decrease in snow depth, which in turn resulted in a

    decreasing trend in flood peaks. In an attempt to validate this hypothesis, we used long-term daily pre-

    cipitation, temperature, and river flow data observed in the watershed as inputs to the Variable Infiltra-

    tion Capacity (VIC) model to generate other non-monitored climatic variables. Trends in these climatic

    variables were then related to the trend in flood peaks in the Pecatonica River. Due to the complexity

    of the hydrologic system and numerous data and modeling-related uncertainties, the above hypothesis

    cannot be validated with certainty. Nonetheless, the results in two different modes (event and continuous

    simulation) provide support to the speculation that the decreasing trend in flood peaks was a result of

    decreasing snow depth. The model runs resulted in a decrease in snow depths for the period of record

    (19152009), increase in sublimation and evaporation, no change in base flow, and mixed results in infil-

    tration. These analyses also suggest that VIC can be used in other similar regions in snowmelt-driven

    flood peak studies. It should be recognized, however, that the success of these applications can be

    severely constrained by various uncertainties, including but not limited to, the poor quality or absence

    of snow depth data.

    2014 Elsevier B.V. All rights reserved.

    1. Introduction

    Many studies on the effects of climate change on water

    resources have been published in the past several years. These

    studies have investigated historical trends in streamflow, precipi-

    tation, and various other variables. Among the studies related to

    streamflow trends, most focus on the trends of seasonal and annual

    streamflow (Regonda et al., 2005; Hamlet et al., 2005, 2007; Mishra

    et al., 2010; Sinha et al., 2010). Relatively fewer studies have

    focused on extreme events. Hirsch and Ryberg (2012) studied the

    relationships between annual floods at 200 long-term streamgages

    in the conterminous United States and the global mean carbon

    dioxide concentration. They found no correlation between global

    mean carbon dioxide concentration and flooding, except for a

    negative relationship between GMCO2 and flood magnitudes in

    the southwestern United States. Markus et al. (2007, 2012) and

    Hejazi and Markus (2009) studied the frequency of flooding as a

    result of the increasing intensity and frequency of heavy storms

    and the increase in urbanization. Cunderlik and Ouarda (2009)

    detected a significant number of stations with negative trends in

    the magnitude of snowmelt-generated floods. Trends in peak

    streamflows also have been studied by means of observed data

    analysis (Lins and Slack, 1999; Novotny and Stefan, 2007). Lins

    and Slack (1999) investigated trends in minimum, median, and

    maximum annual flows at 395 daily streamflow stations for

    19441993 in the United States. They found that a majority of sta-

    tions exhibited a decreasing trend in annual maximum flow. How-

    ever, for annual median and annual minimum flows, a majority of

    the stations had an increasing trend. Regonda et al. (2005) ana-

    lyzed observed weather data in the western United States and

    found that peak flow timing had shifted to earlier months, caused

    http://dx.doi.org/10.1016/j.jhydrol.2014.05.004

    0022-1694/ 2014 Elsevier B.V. All rights reserved.

    Corresponding author. Tel.: +1 217 333 0237; fax: +1 217 333 2304.

    E-mail address: [email protected] (M. Markus).

    Journal of Hydrology 515 (2014) 267280

    Contents lists available at ScienceDirect

    Journal of Hydrology

    journal homepage: www.elsevier .com/ locate / jhydrol

    http://crossmark.crossref.org/dialog/?doi=10.1016/j.jhydrol.2014.05.004&domain=pdfhttp://dx.doi.org/10.1016/j.jhydrol.2014.05.004mailto:[email protected]://dx.doi.org/10.1016/j.jhydrol.2014.05.004http://www.sciencedirect.com/science/journal/00221694http://www.elsevier.com/locate/jhydrol
  • by increasing spring warm-spell temperatures as well as decreas-

    ing precipitation in the Rocky Mountain area. In these studies,

    trends in observed and simulated seasonal streamflows were

    found to be highly correlated with trends in seasonal precipitation.

    The Wisconsin Driftless Area, like surrounding areas in the

    Midwestern United States, is a region with several streams show-

    ing decreasing annual maximum streamflow. Numerous studies

    attempt to explain these trends. Early studies, such as Potter

    (1991) and Gebert and Krug (1996), explain the trends by the

    changes in land management practices. Potter (1991) argued that

    the changes in hydrology are likely due to the adoption of various

    measures for soil and water conservation, and are not climate

    related. Gebert and Krug (1996) suggested that the decreasing

    flood peaks were caused by improving hydraulic structures such

    as drainage ways and stream channels, as well as an increase in

    wooded areas. Knapp (2005) studied trends in annual minimum,

    average, and maximum streamflows in the Midwestern United

    States and detected a decrease in annual peak flows in the Pecato-

    nica River watershed, a part of the Wisconsin Driftless area. Knapp

    also found no significant correlation between trends in peaks and

    trends in average annual flows in this region. Kochendorfer and

    Hubbart (2010) confirmed that annual peak flows in the Wisconsin

    Driftless area have been decreasing and argued that the decreasing

    trend was caused by widespread land-use changes associated with

    soil conservation efforts in the 19392008 period.

    Some of the more recent studies on the decreasing flood peaks

    in this area include climate parameters as explanatory variables.

    Juckem et al. (2008) discussed a climate-related step change in

    precipitation and base flow around 1970, also globally observed

    as a result of the Pacific Decadal Oscillation (Mantua et al., 1997).

    Juckem et al. used data from the Driftless area of Wisconsin to

    show that both climate and land management changes could

    change the hydrologic response of the system. They state, Climatic

    change appears to control the timing and direction (increase or

    decrease) of the change, while land management changes amplify

    the response beyond that which can be explained by climate fac-

    tors alone. Markus et al. (2013) analyzed the decreasing trend of

    annual peak flows in the Pecatonica River for the 19142008

    period and found that the annual peak flow time has shifted from

    February and March (referred to as the late winter months) to

    mostly spring or summer seasons. Markus et al. also suggested that

    the overall decreasing annual peak flows could be explained by the

    significant decrease in late winter flows, which was possibly

    related to the increasing winter temperature. Time series of

    minimum, average, and maximum daily temperature in February

    (Fig. 1) illustrates this increase. Fig. 2 shows three graphs: the

    annual maximum streamflow time series (Fig. 2a), the maximum

    FebruaryMarch flood peaks for each water year (Fig. 2b), and

    the maximum flood peaks within the remaining months

    (OctoberJanuary, and AprilSeptember) for each water year

    (Fig. 2c). The discharges in February and March appear to dominate

    the annual trend, suggesting that the decrease in annual peaks is

    primarily a result of the decrease in the late winter months.

    Markus et al. (2013) further speculated that this decrease is pri-

    marily a result of the increasing winter season temperatures,

    resulting in less snow accumulation and fewer frost days. The

    changing hydrologic regime is best illustrated in Fig. 3, showing

    the gradual change from predominantly snowmelt-driven annual

    maximum flood peaks to predominantly rainfall-driven floods.

    Fig. 3 shows times of flood peak in each year, expressed in days

    after January 1st. The size of solid circles represents the magnitude

    of the peak. The floods between days 0 (January 1st) and approxi-

    mately 90 (March 31st) are typically snowmelt-driven, while later

    peaks are typically caused by large rain events. The figure shows

    that the snowmelt-driven floods became less frequent and less

    dominant with time compared to the rainfall-driven floods

    occurring later in the year. Three weighted trend lines in the figure

    also show significant upward trends in average flood timing overall

    and for rainfall-driven floods, and a statistically insignificant

    downward trend for the snowmelt-driven floods.

    We hypothesize that the flood peak decrease in the Pecatonica

    River is driven in part by climate change. To test this hypothesis,

    this study applied the Variable Infiltration Capacity (VIC) model,

    which is a physically based land-surface model capable of simulat-

    ing energy and water balance. The model simulated a number of

    hydrologic and climatic variables, such as frozen soil, snow depth,

    snowmelt, soil temperature, and river discharge in the Pecatonica

    River watershed. A special focus was given to the late winter flood

    events, as the decrease in these events was the primary reason for

    the decreasing annual maximum flows in the watershed. The late

    winter flood events in this watershed are typically driven by snow-

    melt, or a combination of snowmelt and rainfall, due to seasonal

    increases in temperature to above freezing. Snowmelt simulation

    using the VIC model has been analyzed by Sinha and Cherkauer

    (2010), Sinha et al. (2010), Tan et al. (2011), Andreadis et al.

    (2009), and others. Particularly, Feng et al. (2008) compared the

    VIC and the Snow Thermal Model (SNTHERM) by Jordan (1991)

    and showed a good agreement between the two models in snow

    simulation. In addition, the VIC model can simulate and evaluate

    both snow and frozen soil effects unlike the Snowmelt Runoff

    Model (SRM; Martinec et al., 1998; Nakayama and Watanabe,

    2006). These studies indicated that the VIC model has an ability

    to accurately simulate watershed processes, including snow accu-

    mulation and ablation. Unlike the published applications, which

    used daily step simulations to analyze monthly flows such as Dai

    et al. (2004), Andreadis et al. (2005), and Sheffield and Wood

    (2008), this study uses VIC to simulate daily flood peaks in two

    modes, event and continuous, for late winter events to address

    the decreasing flood frequency in a changing hydrologic regime.

    The specific objectives of the study are to (i) Assess the applica-

    bility of the VIC model to simulate flood peaks in a snowmelt-

    driven hydrologic regime for a medium-sized agricultural

    watershed, and (ii) Attempt to provide a climate change-related

    explanation of the trend in the flood peaks in the Pecatonica River

    by relating it to trends in climatic variables, both observed and

    generated, using VIC for the period 19152009.

    2. Study site

    The Pecatonica River watershed has a drainage area of

    3435 km2 and is located in southern Wisconsin and northern Illi-

    nois (Fig. 4). The watershed is located approximately 100 km west

    of Lake Michigan, near two large coastal metropolitan areas,

    Milwaukee and Chicago. This study chose five climate stationsFig. 1. Mean maximum, mean minimum, and mean average daily temperatures

    19012008 at Darlington, Wisconsin, in February (Markus et al., 2013).

    268 D. Park, M. Markus / Journal of Hydrology 515 (2014) 267280

  • (Dodgeville, Darlington, Martintown, and Monroe in Wisconsin

    and Freeport in Illinois), which will be further described in the next

    section. The land use in the watershed has not changed much in

    the past; recently Homer et al. (2004) found that it is about 82%

    agricultural, 10% forested, and 6% developed.

    3. Data

    3.1. Climate data

    Observed climate forcing data included daily precipitation, daily

    maximum and minimum temperatures, and wind speed. Daily

    observed snowfall, snow depth, rainfall, and temperature data for

    19152009 based on NOAAs National Weather Service Coopera-

    tive Observer Program were used (Table 1). Some of these vari-

    ables, particularly snow depth, have limited data in the earlier

    parts of the record, as indicated in Table 1. The daily wind speed

    data were available from 1949 to the present, and were obtained

    from the National Center for Environmental Prediction National

    Center for Atmospheric Research 40-year Reanalysis project,

    as described by Kalnay et al. (1996), and are available at

    http://www.cdc.noaa.gov/cdc/reanalysis/reanalysis.shtml. The wind

    speed prior to 1949 was assumed to match the daily wind clima-

    tology based on the period after 1949, similar to the approach of

    Hamlet and Lettenmaier (2005). All daily data were gridded for

    the Pecatonica River watershed using the method described by

    Hamlet and Lettenmaier (2005); spatial resolution of the grids

    was 1/8, with grid cells of approximately 10 km 14 km or

    140 km2.

    3.2. Soil and land cover data

    Soil and land cover parameters were acquired from the Land

    Data Assimilation System (LDAS; Maurer et al., 2002). Soil param-

    eters, including infiltration shape parameter, maximum subsurface

    flow rate, fraction of the maximum soil moisture, soil layer depths,

    and saturated hydrologic conductivity Ksat, commonly used in VIC

    (Mishra et al., 2010), were calibrated. Vegetation parameters

    (architectural resistance, albedo, minimum stomata resistance, leaf

    area index, zero-plane displacement, vegetation roughness length,

    fraction of root depth of each soil layer) were represented to sub-

    grid variability with a factional coverage area (Mishra et al., 2010).

    They were obtained from the same LDAS dataset. Both soil and veg-

    etation parameters were developed at 1/8 spatial resolution.

    Monthly leaf area index (LAI) data for each vegetation type

    Fig. 2. Observed annual peak flows at Freeport streamgage (USGS No. 0543500) on the Pecatonica River between 1915 and 2009 for (a) complete dataset; (b) February and

    March; (c) April through January.

    Fig. 3. Annual flood peak timing (in days after January 1st) and magnitude

    (represented by the size of circles) in the Pecatonica River watershed, showing a

    gradual decrease in frequency and magnitude of snowmelt-driven annual flood

    peaks (first 34 months in a calendar year).

    D. Park, M. Markus / Journal of Hydrology 515 (2014) 267280 269

    http://www.cdc.noaa.gov/cdc/reanalysis/reanalysis.shtml
  • composed of 1/8 spatial resolution were adapted from the method

    developed by Myneni et al. (1997).

    3.3. Daily streamflow data

    Observed daily streamflow data from 1915 to 2009 were

    obtained from the gage operated by the United States Geological

    Survey (USGS) at Freeport, Illinois (No. 0543500), with a drainage

    area of 3435 km2 (Fig. 4). This gaging station is also operated in

    cooperation with the Illinois State Water Survey, University of

    Illinois, and maintained by the USGS Illinois Water Science Center.

    4. Variable Infiltration Capacity Model

    The VIC model was originally developed jointly at the Univer-

    sity of Washington and Princeton University. It is a macroscale

    hydrology model used to simulate various hydrologic variables as

    well as kinetic energy variables such as soil moisture, snowmelt,

  • data were available only at Freeport, and for 1929 at Darlington.

    Data were available at most of the sites for later events. Using

    snow depth data with a limited spatial extent made the calibra-

    tions more uncertain. Later decades had more data and potentially

    more accurate calibrations. Overall, the VIC model produced a rea-

    sonable simulation accuracy of snow depths, below 2530 cm, and

    underestimated the observed snow depths exceeding that level,

    similar to Mishra and Cherkauer (2011). Possible explanations for

    these results could be found in the calibration criteria. We cali-

    brated the parameters to minimize the difference between the

    observed and model-generated snow and discharge in a spatially

    and temporally lumped fashion. Each observation had equal

    weight. Extreme values, although critical, might not have carried

    sufficient weights due to their infrequent occurrence in a time ser-

    ies of the observed data, suggesting that the calibration was dom-

    inated by the medium-range observations. Similarly, the

    parameters were spatially averaged, possibly reducing the effects

    of the highest observations.

    Table 4 shows peak streamflow times of daily observed data,

    the VIC model, and the corresponding NSE indexes. The VIC-based

    peak times generally match the observed data. One-half of the sim-

    ulated hydrographs matched the observed peak times, while the

    other half were within one (1975, 1985, and 1997) or two days

    (1959 and 1963). NSE for calibration ranged between 0.5 and

    0.85. Fig. 7 shows the observed and simulated peaks and volumes

    (represented as a sum of daily discharges for each event). The fig-

    ure shows a very good agreement between these variables, partic-

    ularly between the model and observed peak discharges with a

    RMSE of 20.7 m3/s. In terms of volumes, except for three events,

    in which the model underestimated the observed volumes by

    approximately 2530%, the simulations are reasonably accurate,

    within 15% of the observations. The overall accuracy for volume

    simulations is RMSE = 658.7 m3/s, which is approximately 20% of

    the average event volume.

    The snow roughness parameter was also allowed to vary to

    achieve best possible simulation accuracy. The time series of these

    best-fit snow roughness parameters exhibited an increasing trend

    with a 95% statistical significance (Fig. 8).

    Table 4

    Peak time and NSE between observed and VIC streamflows.

    Year Peak time NSE

    Observed VIC

    1916 3/28/1916 3/28/1916 0.95

    1929 3/16/1929 3/16/1929 0.85

    1937 3/8/1937 3/8/1937 0.75

    1948 3/1/1948 3/1/1948 0.69

    1959 4/5/1959 4/3/1959 0.88

    1963 3/21/1963 3/19/1963 0.65

    1975 3/25/1975 3/24/1975 0.86

    1985 2/27/1985 2/26/1985 0.65

    1997 2/22/1997 2/23/1997 0.61

    2005 2/16/2005 2/16/2005 0.55

    Fig. 7. Event simulation: observed and VIC model simulated peak and cumulative discharges at Freeport on the Pecatonica River for 10 largest late winter events given in

    Table 4.

    Fig. 8. Calibrated snow roughness for event simulations.

    274 D. Park, M. Markus / Journal of Hydrology 515 (2014) 267280

  • Fig. 9. Continuous simulation: Observed and VIC model simulated snow depth for February and March, for (a) Dodgeville, Wisconsin; (b) Darlington, Wisconsin;

    (c) Martintown, Wisconsin; (d) Monroe, Wisconsin; and (e) Freeport, Illinois. Each point represents one day.

    Fig. 10. Continuous simulation: observed and VIC model simulated peak and cumulative discharges at Freeport for each late winter event 19152009. Solid points show the

    years also used in the event simulation approach.

    D. Park, M. Markus / Journal of Hydrology 515 (2014) 267280 275

  • 8.2. Continuous simulation

    The scatter plot of observed vs. simulated snow depth (Fig. 9)

    shows that the simulation accuracy varies with month (February

    and March) and stations. The simulation accuracy appears reason-

    able on average, with some underestimation of the highest snow

    and overestimation of the lowest ones. The simulated snow depths

    in March are consistently more accurate than those in February.

    Also, the simulations for Darlington and Freeport stations (Fig. 9b

    and e) are more accurate with lower RMSE than for the remaining

    sites.

    The continuous approach produced less accurate flood peak

    simulations compared with the event approach. Fig. 10 (unlike

    Fig. 7 for event calibration) shows a large variability in predicted

    flood peaks and volumes. The solid circles show the years used in

    the event calibration. The reason for larger errors is the difference

    in calibrations. In the event approach, each event was calibrated

    separately, while one set of parameters (except for snow roughness

    parameter changing every five years) was used for the entire

    record in the continuous approach. More importantly, the calibra-

    tion objective in the event calibration was to match the flood

    peaks, while in the continuous approach the goal was to match

    snow depths, without regards to the flood peaks.

    Similar to the event simulation (Fig. 8), the snow roughness

    parameter for the continuous simulation (Fig. 11) exhibited an

    increasing temporal trend with a 95% statistical significance based

    on the Kendall Tau test. Fig. 11 shows the calibrated values for

    snow roughness parameter for each five-year period in the contin-

    uous simulation. Despite different datasets, objective functions,

    and calibration approaches, both event and continuous calibrations

    resulted in similar (increasing) temporal trends for the snow

    roughness parameter.

    9. Discussion

    9.1. Snow monitoring and modeling uncertainty

    Accurate monitoring of snow depth is of great importance in

    calibration of both the continuous and the event simulations pre-

    sented in this study. The estimates of snow accumulation and abla-

    tion rates, however, can be biased (Varhola et al., 2010). Point

    measurements may not be representative of the non-uniform spa-

    tial snow coverage, particularly in larger areas. Also, the temporally

    discrete, typically daily snow depth measurements do not capture

    sub-daily snow variability, caused mainly by temperature and

    wind, and manifested through snow melting, compacting, drifting,

    or blowing.

    These issues could be partially addressed through a process of

    data quality control and assurance. For example, to assess the suit-

    ability of climate gages for use in trend analysis, Kunkel et al.

    (2007) suggest that a careful analysis of station histories and regio-

    nal comparisons should be required for each gage. Such analyses

    are routinely and thoroughly carried out at the Midwestern Regio-

    nal Climate Center (MRCC) in Champaign, Illinois, resulting in

    assessments of accuracy for each station in this study. Despite

    the quality assurance and the long-term homogeneity of snowFig. 11. Calibrated snow roughness for continuous simulation.

    Fig. 12. Model parameters used in event (represented by circles) and continuous (represented by lines) simulations.

    276 D. Park, M. Markus / Journal of Hydrology 515 (2014) 267280

  • Fig. 13. Temporal trends in three observed climate variables in the Pecatonica River watershed.

    Fig. 14. Temporal trends in eight simulated climate variables by event simulation in the Pecatonica River watershed.

    D. Park, M. Markus / Journal of Hydrology 515 (2014) 267280 277

  • depth data, simulation of snow depths remains to be highly uncer-

    tain. Fig. 12 shows the ranges of eight parameters, calibrated in

    both event (top chart) and continuous simulation (bottom chart).

    Most of parameters are consistent between the two approaches,

    except for Exp1 and Exp2, which appear more sensitive to the

    observed datasets. Nonetheless, the ranges for the correlation

    coefficient between the observed and simulated snow depth was

    0.40.7 for the continuous simulation and 0.40.9 for the event

    simulation, which were comparable to similar studies (e.g.,

    Mishra and Cherkauer, 2011).

    Additional uncertainties come frommodel selection and param-

    eter estimation. Essery et al. (2009) described a comparative study

    of 33 models, including VIC, for simulations of surface and energy

    mass balances. They outlined numerous modeling uncertainties,

    including those based on model selection. They also found that

    uncertainties in parameter selection overwhelm deficiencies in

    model structure when calibration data are not available. This

    study, however, had somewhat incomplete datasets in the first

    part of the record, but the datasets in the final decades were more

    complete.

    The VIC model runs in this study allowed the snow roughness

    parameter to vary with time periods, every 5 years for continuous

    simulation and every 10 years for event simulations. This resulted

    in more accurate simulations. It is possible that smaller increments

    (e.g. 1 year) for continuous calibration of roughness would have

    produced more accurate simulations, but the parameter optimiza-

    tions and calculations were not performed for each year due large

    computational requirements. Regardless, the best-fit roughness

    parameter exhibited a significant increasing temporal trend in

    both event and continuous simulations. It can be speculated that

    the long-term trend in the best-fit roughness parameter is related

    to the long-term increase in air temperature. However, more

    research, modeling and additional monitoring data would be

    needed to determine if and how the increase in this parameter

    relates to the changes in other climate variables.

    9.2. Temporal trends in hydroclimatic variables

    Figs. 1315 show the trends in climate variables in the Pecato-

    nica River watershed, including the observed (Fig. 13), event simu-

    lation (Fig. 14), and continuous simulation (Fig. 15) approaches.

    Snowfall and precipitations are presented as cumulative values

    and all other variables are presented as daily average values for

    FebruaryMarch period. Fig. 13 shows three observed variables

    (air temperature, snowfall, and total precipitation). Figs. 14 and

    15 show eight simulated variables (bare soil temperature, infiltra-

    tion, evaporation, sublimation, frost days, snow depth, snowmelt,

    and SWE). These results show a high degree of consistency for

    the two approaches having different data, calibration methods,

    and objective functions. Table 5 shows the Kendall-Tau trend test

    (Kendall, 1955; Helsel and Hirsch, 1995), the Theil-Sen trend test

    (Sen, 1968; Kumar et al., 2009), the slope of the best-fit line, and

    the R2 of the best-fit line for each variable in Figs. 14 and 15. Tra-

    ditionally, the trends would be considered statistically significant,

    if the significance levels exceed 95% or 99%. However, some of the

    statistically insignificant trends may have serious environmental

    consequences. Several studies show that the natural system is very

    sensitive to small air temperature increases, such as 1 C per

    100 years (National Research Council, 2011; Zhang et al., 2001),

    which can cause significant changes in hydrologic and ecologic

    Fig. 15. Temporal trends in eight simulated climate variables by continuous simulation approach in the Pecatonica River watershed.

    278 D. Park, M. Markus / Journal of Hydrology 515 (2014) 267280

  • processes. Due to the potential importance of this statistically

    insignificant but very important change observed in the Pecatonica

    River watershed, the results should be interpreted in a less rigid

    fashion. For that reason the table shows trends with significance

    levels ranging from less than 70% to 99.9%.

    Table 5 shows that the event and continuous simulations for 10

    of 11 trends have identical trend signs. The only exception is the

    time series for infiltration for the two approaches. The Kendall-

    Tau and the Theil-Shen tests produced very consistent results.

    None of the changes in infiltration exceeded statistical significance

    of 70%. While precipitation has been increasing, all four snow-

    related variables (snowfall, snow depth, snowmelt, and SWE) have

    been decreasing for both event and continuous simulations. Also,

    for both the event and continuous simulations, the increasing

    trends in sublimation appear to be partly responsible for the

    decreasing snow depth, which in turn could result in decreasing

    flood peaks. Variability in most of these processes, and thus their

    trends, could be attributed to an increasing air temperature. In

    conclusion, these results indicate that the VIC model is capable of

    simulating snowmelt-runoff hydrologic processes in a changing

    hydrologic regime and serving as a tool which can be used to

    detect trends in hydroclimatic variables. These trends, such as

    the decreasing trends in snow depth, and the increasing trends in

    sublimation, for both event or continuous simulations, were con-

    sistent with the decreasing trend in flood peaks, potentially sug-

    gesting that the contribution of climate change to the decreasing

    trend in flood peaks in the Pecatonica River is significant.

    10. Conclusions

    This research tested the applicability of the Variable Infiltration

    Capacity (VIC) model in a flood study in a changing hydrologic

    regime. For this task, two modes of model applications, event

    and continuous simulations, were designed and implemented.

    The event simulation mode tested the models ability to simulate

    flood events accurately and also to provide an insight in the

    changes in various hydroclimatic variables during the flood event,

    while the continuous simulation was designed to provide overall

    watershed conditions during the flood season.

    The model was applied to the Pecatonica River at Freeport in

    Illinois. This river has been known for its decreasing annual flood

    peaks based on 95 years of monitoring data. The results indicate

    that climate change may have contributed to this trend, and that

    the key change in the watershed occurred in the late winter during

    the snowmelt. The climate variables produced by both event and

    continuous simulations exhibited trends in hydroclimatic variables

    from more favorable to snowmelt flooding early in the record, to

    less favorable to snowmelt flooding in the past several decades.

    In particular, the model results suggest that the observed increas-

    ing air temperature resulted in decreasing trends in snow depth

    and snowmelt, and also in the increasing trends in sublimation

    and evaporation during the late winter months. This shift in flood

    peaks from predominantly a snowmelt-driven regime to primarily

    a rainfall-driven flood regime could be partly explained by the

    temperature increase, and could characterize watersheds in other

    geographically similar regions. Nonetheless, to provide a compre-

    hensive analysis of trends in floods, similar studies should be

    accompanied by those relating land-use change and other vari-

    ables to these trends.

    Acknowledgments

    This research was partially supported by the National Center for

    Supercomputing Applications at the University of Illinois in

    Urbana-Champaign. The authors would like to acknowledge the

    contribution of Dr. Gi-Hyeon Park from the University of Wyoming,

    Dr. Tom Over from USGS, and Drs. Laura Bowling and Keith Cher-

    kauer from Purdue University for valuable advice in various stages

    of this research. Dr. Edward J. Hopkins, Assistant Wisconsin State

    Climatologist, provided valuable information on snow data moni-

    toring, history of the gages, and quality of the observed data. The

    authors would also like to acknowledge the help from the follow-

    ing colleagues at ISWS/UIUC: Nancy Westcott and Alena Bartosova

    for providing very useful review comments, Lisa Sheppard for edi-

    torial review, and Sara Olson for reviewing and modifying the

    figures.

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of a changing hydrologic flood regime using the Variable Infiltration Capacity model1 Introduction2 Study site3 Data3.1 Climate data3.2 Soil and land cover data3.3 Daily streamflow data4 Variable Infiltration Capacity Model5 Model application design5.1 Event simulation5.2 Continuous simulation6 Model performance evaluation7 Model calibration7.1 Event simulation7.2 Continuous simulation8 Results8.1 Event simulation8.2 Continuous simulation9 Discussion9.1 Snow monitoring and modeling uncertainty9.2 Temporal trends in hydroclimatic variables10 ConclusionsAcknowledgmentsReferences