Flood Warning Systems

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    NovaLynx Systems, Inc.

    3235 Sunrise Blvd, Suite 3, Rancho Cordova, CA 95742

    NovaLynx Systems, Inc.

    NEXRAIN Corporation

    9477 Greenback Lane, Suite 523A, Folsom, CA 95630

    KEY ISSUES IN DEVELOPING AND MAINTAINING SUCCESSFULFLOOD WARNING SYSTEMS

    THE IMPORTANCE OF HIGH QUALITY RAINFALL MONITORING INFLOOD WARNING SYSTEMS

    CHOOSING A HYDROLOGIC MODEL FOR FLOOD FORECASTING

    By

    David C. Curtis, Ph.D.

    NEXRAIN Corporation

    9477 Greenback Lane

    Suite 523A

    Folsom, CA 95530

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    NovaLynx Systems, Inc.

    3235 Sunrise Blvd, Suite 3, Rancho Cordova, CA 95742

    NovaLynx Systems, Inc.

    NEXRAIN Corporation

    9477 Greenback Lane, Suite 523A, Folsom, CA 95630

    Preparing for the CostIntroduction

    Flood warning systems help mitigate flood damages

    through early detection of potential flooding and the

    issuance of flood warnings. Upon receipt of flood warn-

    ings by those individuals affected initiate response activ-

    ities designed to protect life and property.

    ALERT (Automated Local Evaluation in Real-Time)

    flood warning systems and the related IFLOWS (Inte-

    grated Flood Warning Observation and Warning Sys-

    tems) are the most popular and widely used automatedflood warning systems in the U.S. today. These and

    similar automated systems are now helping reduce flood

    damages and save lives in more than 500 communities

    throughout the U.S. Many more such systems are in

    operation throughout the world.

    Flood Preparedness Programs

    Flood warning systems are only one component of a flood

    preparedness program. A typical flood preparedness pro-

    gram consists of the following components: planning,

    flood threat detection and warning, flood response, flood

    recovery, and review. After the flood review process, the

    flood preparedness plan is revisited and updated.

    Response planning and other preparedness plans are

    completed well in advance of any flood activity. The

    flood warning system detects a potential problem during

    the early stages of the event. Once the warning is issued,

    response activities begin as planned. When the water

    begins to recede, tasks switch from response to recovery.

    After the event, a review and evaluation team studies

    community performance during the event and recom-

    mends improvements to the preparedness plan.

    As the time to execute the flood detection and warning

    phase decreases, the time available for response increas-

    es. This is a key objective of the flood warning system.

    Therefore, goals of the flood threat detection and warning

    component are to:

    n minimize the time that it takes to detect a potential

    problem,

    n minimize the time to disseminate the warning, and to

    n minimize the time to get populations at risk torespond.

    Flood Forecast Value

    The value of a flood warning system is derived from the

    warning systems contribution to saving lives and prop-

    erty. Implicit in any flood warning system is the flood

    forecast. (i.e. the prediction of a flood threat based on

    current weather conditions, rainfall amounts, and/or river

    elevations etc.) Assessing the value of a flood forecast

    involves two issues: accuracy and timing.

    A flood forecast must be accurate to have value. A flood

    forecast must also be timely to have value. Unfortunately,

    it is generally not possible to simultaneously have the

    most accurate forecast andthe most timely forecast. For

    example, a very accurate forecast can be made by taking

    a river level measurement (say 16.5 for discussion) and

    forecast that the river will rise to a 16.51 in five minutes.

    While this may be a very accurate forecast, it has little

    value because it doesnt provide any time to respond and

    mitigate damages.

    On the other hand, if a flood peak of 16.51 is forecast to

    occur two weeks from now, no one is likely to take it

    seriously enough to engage flood response activities. In

    this case, the forecast is timely but current technology

    doesnt exist to provide a flood forecast on most streams

    thats credible enough for people to take action that far in

    advance..

    To achieve added value in a flood warning system, some

    investment in time, effort, and money is required. The

    amount of investment should be in proper balance with

    KEY ISSUES IN DEVELOPING AND MAINTAINING SUCCESSFULFLOOD WARNING SYSTEMS

    Preparedness Planning

    Flood Warning &Detection

    ResponseRecovery

    Review &Evaluation

    Figure 1: The circular nature of a flood warning

    By

    David C. Curtis, Ph.D.

    NEXRAIN Corporation

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    NovaLynx Systems, Inc.

    3235 Sunrise Blvd, Suite 3, Rancho Cordova, CA 95742

    NovaLynx Systems, Inc.

    NEXRAIN Corporation

    9477 Greenback Lane, Suite 523A, Folsom, CA 95630

    some flood warning systems that trainees are frequently

    overwhelmed with new information that they dont even

    know what questions to ask. Follow-up training six to

    nine months after the initial installation has proven to be

    extremely effective and valuable.

    Training on several different levels for different job

    functions is required. Training for electronics technicians

    on field sensors, telemetry, and computer equipment isrequired. Other users require training on central station

    and computer software operation. The flood warning

    system manager also requires more advanced training for

    overall system configuration and management.

    Training for new personnel and refresher training on an

    annual basis keeps personnel up-to-date on the latest

    equipment and software developments. Attendance at

    group training sessions frequently brings together flood

    warning system personnel from many communities that

    eagerly share their experiences and ideas.

    Regional and national users groups offer many opportu-nities for professional development for flood warning

    system operators. Newsletters, meetings, Internet web

    sites, and symposiums are excellent forums to learn and

    exchange ideas. The costs of user group memberships and

    conference attendance should be considered in flood

    warning system training budgets and professional devel-

    opment budgets.

    Services and Support

    A variety of services and support can be purchased from

    manufacturers or third-party service providers. Thesecosts must also be recognized in the flood warning system

    budget. Recurring costs for services essential to flood

    warning system operation such as telephone lines and/or

    data fees must also be included in the budget as necessary.

    Maintenance

    A car needs regular oil changes, tune-ups, and occasional

    new tires to operate smoothly. In addition, car owners

    have to face repairs for the dents and dings that inevitably

    occur from normal use. Flood warning systems are no

    different.

    Flood warning systems need regular care. Batteries need

    replacing, solar panels need cleaning, instruments need

    calibration, and radios need tuning. In addition, accidents

    occur. Hunters shoot gauges, vandals destroy antennas

    and steal solar panels, and, occasionally, bulldozers run

    over gauges. As unfortunate and unplanned as they are,

    repairs and replacements are still required and must be

    considered in operational budgets.

    Computers and software evolve rapidly. Upgrades from

    manufacturers are frequent and a fact of life. Users must

    plan for the cost of updating these items several timesduring the lifetime of the project.

    Personnel

    Successful flood warning systems all have one common

    element - a highly dedicated and skilled staff. Large flood

    warning systems may require several full-time personnel

    for operations and maintenance. Small systems may only

    require one or two people assigned to the project part-

    time. In any case, a commitment to adequate staffing

    levels is vital to long term success.

    Summary

    Costs associated with flood warning systems arise from

    several sources. Some sources such as capital equipment

    costs are obvious. Others, such as training, system up-

    dates, and staffing are equally important but often over-

    looked. Consideration of these cost elements and other

    that may be unique to an individual system must be

    considered to provide more realistic total cost estimates

    when considering flood warning system investments.

    References

    National Weather Service,Role of the National WeatherService, Flood Warning - Preparedness Programs, Flood Warning - Preparedness Programs, Flood Warning - Preparedness Programs, Flood Warning - Preparedness Programs, Flood Warning - Preparedness Programs, US

    Army Corps of Engineers Short Course, Hydrologic

    Engineering Center, Davis, CA March 21-25, 1994

    Curtis, David C., Designing Rain Gauge Networks for

    Automated Flood Warning Systems, Paper presented at

    the Flood Plain Management Association Spring Confer-

    ence, Solvang, CA, March 30-April 2, 1993

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    NovaLynx Systems, Inc.

    NEXRAIN Corporation

    9477 Greenback Lane, Suite 523A, Folsom, CA 95630

    IntroductionConsistent rainfall data is, perhaps, the most significant

    ingredient in developing accurate hydrologic analyses.

    Without consistent rainfall data from storm to storm or

    even within storms, accurate streamflow simulations and

    forecasts are extremely difficult to achieve. Even though

    most hydrologists readily acknowledge this fact, rainfall

    records are rarely scrutinized to the degree necessary to

    develop an engineered data set that best indexes the true

    rainfall entering the watershed. This section will review

    some of the factors that lead to inadvertent inconsisten-

    cies in rainfall data, provide some insights into the sensi-tivity of streamflow simulations to rainfall errors, and

    offer some suggestions to improve gauge and data man-

    agement procedures in order to help improve data consis-

    tency.

    Historical Perspective

    Some of the problems associated with rainfall measure-

    ment have been known for hundreds of years. For exam-

    ple, a demonstration performed in 1769 showed that a rain

    gauge located on the top of a 30 foot tall house caught just

    80% of amount measured in a ground-level rain gauge.Similarly, a gauge on top of a 150 foot abbey tower caught

    just over 50% of the ground level catch. It took until the

    late 19th century to fully understand that the reduced rain

    gauge catch associated with height above ground was due

    to the turbulent airflow around exposed gauges in strong

    winds. (Frisinger, 1977)

    Similar observations were reported a century later by

    Symons (1881). Symons compared rain gauge catch at

    various elevations with the catch at two inches above

    ground level. Symons results as shown in Figure 2

    represent conditions prevalent at the time of his experi-ments. He did not consider the gauge catch variation with

    varying wind conditions as later researchers would.

    Inadvertent Inconsistencies

    Inconsistent rainfall records had been brought about by a

    variety of actions, many of them well intentioned, and

    most of them quite inadvertent. Rain gauges have been

    moved short distances to accommodate the wishes of a

    cooperative observer who wanted to raise vegetables

    where the gauge stood. Or, the observer might want to put

    in a walk way, or build a chicken coop, or provide space

    for children to play; at other times, a rose garden might be

    desired so that it wouldnt be necessary to look at that

    eyesore called a rain gauge. It would be difficult to

    determine how many records have lost consistency be-

    cause someone wanted to beautify the area around that

    dented, dirty old can with an attractive planting.

    The National Weather Service occasionally contributed

    to this confusion by moving gauges as vegetation altered

    site characteristics - the correct procedure would have

    been to keep the height of the surrounding vegetation

    constant. Unfortunately, the cost and politics of such

    actions were well beyond the capability of a government

    agency. Another problem impairing data consistency

    occurred when an observer terminated their observation

    program. At such times, the gauging equipment would

    frequently be moved to another property in the general

    area. A location which was considered by the NWSsubstation specialist as being a compatible site. All too

    often, the term compatible was used to describe any site

    which had its mail delivered by the same post office.

    Unfortunately, many of these records were published as

    a continuing record with inadequate documentation of the

    change in location.

    Even the best intentions of those who were running the

    rainfall data program led to a variety of inadvertent

    THE IMPORTANCE OF HIGH QUALITY RAINFALL MONITORING INFLOOD WARNING SYSTEMS

    Figure 2: Variation of gauge catch with height for a given set of windconditions as report by Symons (1881)

    0

    2

    4

    6

    8

    10

    12

    14

    16

    18

    20

    GaugeHeight(ft)

    84%86%88%90%92%94%96%98%100%Percent of Catch at 2 " Elevation

    Variation of Gauge Catch with Heightfrom Symons (1881)

    By

    David C. Curtis, Ph.D.

    NEXRAIN Corporation

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    3235 Sunrise Blvd, Suite 3, Rancho Cordova, CA 95742

    NovaLynx Systems, Inc.

    NEXRAIN Corporation

    9477 Greenback Lane, Suite 523A, Folsom, CA 95630

    Figure 3: Expected gauge undercatch due to 15 M.P.H. wind

    A

    B

    10 mph

    20 mph

    0

    5

    10

    15

    20

    Height(ft)

    0 2 4 6 8 10 12 14 16 18 20 22 24

    Velocity (mph)

    Expected Gauge Undercatch Due to WindLogarithmic Wind Profile

    ALERT Rain Gauge15% undercatch

    12% undercatch

    Velocity Profile

    Relative positions of two rain gauges in a wind profile

    with winds of 15 mph at the height of the ALERT gauge.

    15 mph

    Ground ConditionsMowed Grass and

    Wet Soil

    changes in record through the necessary, but frequently

    injurious, effort to maintain and improve the quality of

    data collection. This occurred when equipment wore out

    and was replaced with equipment which had an orifice at

    a different elevation and/or was designed with a shape

    that had different aerodynamic properties. Changes which

    confused the hydrologic consistency of the data might be

    as obscure as installing a platform so the observer didnt

    have to stand in the mud, or as physically obvious as

    installing a wind shield to improve the catch under

    windy conditions. But all of these actions had one thing in

    common, they altered the exposure of the gauge orifice to

    the wind and in so doing modified the representativeness

    of the resulting rain catch.

    Many different factors that affect rain gauge records have

    been identified and, to some degree, quantified. Some of

    these factors are reviewed in the following sections.

    Natural Variation in Rainfall

    Rain gauge measurements taken by identical gauges

    located a few feet apart have experienced differences as

    much as 20%.

    Size of the Tipping Bucket

    At the end of the storm, the expected amount of unreport-

    ed rainfall is one half the tipping bucket size. If all or part

    of this rainfall evaporates before the next tip, this amount

    of rainfall is unrecorded. In areas with 50 storms per year,

    a 1 mm (0.04 in.) tipping bucket might fail to report 25

    mm (0.98 in.) of rainfall over an annual cycle. Under the

    same conditions, a 0.01 in. tipping bucket gauge might

    fail to report 0.25 in. of rainfall during the same annual

    cycle.

    Tip Time

    Tipping buckets miss a small amount of rainfall during

    each tip of the bucket due to the bucket travel and tip time.

    As rainfall intensities increase, the volumetric loss of

    rainfall due to tipping tends to increase. At rainfall inten-

    sities above six inches per hour, 1 mm tipping buckets will

    under report rainfall in the range of 0-5% depending on

    how the gauge was calibrated. Smaller tipping buckets

    can have higher volumetric losses due to higher tip

    frequencies.

    Gauge Height

    The height of the gauge above ground can have a dramatic

    affect on gauge catch. As gauge height increases from

    ground level, wind speed at the gauge orifice increases

    due to decreasing frictional effects on the air stream

    caused by the ground surface. Larson and Peck (1974)

    show results that indicate wind induced undercatch is on

    the order of 1% for each mile per hour of wind at the gauge

    orifice. Assuming a logarithmic wind profile with height(Figure 3), a 15 mile per hour wind at the standard

    ALERT gauge height of 10 feet could be expected to

    induce a 15% loss compared to a 12% loss if the same

    gauge were just 4 feet high.

    Discrete Exposure

    Gauges located in an area with variable protection rela-

    tive to different wind directions will produce different

    results. For example, consider Figure 4 with two gauges

    located in the same general area. In the wind field shown,

    gauge AAAAA

    is protected by nearby vegetation and experienc-es a 10 m.p.h. hour wind. However, gauge BBBBB, located a few

    feet away, may experience 20 m.p.h. winds due to more

    direct exposure to the general wind field. Under these

    conditions, Gauge AAAAA might experience a 10% reduction in

    catch due to wind but gauge BBBBB could experience a 20%

    Figure 4: Location of gauge relative to local wind field affects gaugeperformance.

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    9477 Greenback Lane, Suite 523A, Folsom, CA 95630

    reduction in rainfall catch due to higher wind speeds at its

    location.

    Time Variability

    Site exposure conditions that change with time will also

    affect rain gauge performance. As vegetation grows and/

    or changes relative to the gauge site or as the number, size,

    and shape of nearby buildings change, site aerodynamics

    change over time and can produce significant changes to

    the rain gauge performance. Figure 5 shows how growth

    of vegetation can modify wind at the gauge and alter

    precipitation catch.

    Gauge Change

    Each gauging system has its own unique rainfall measure-

    ment characteristics. Both external and internal gauge

    system attributes affect gauge performance. External

    factors include site and locational characteristics. Inter-nal factors include the physical, mechanical, and electri-

    cal characteristics of the gauge itself. As long as these

    attributes stay the same, gauge records remain consistent.

    Any errors or biases present in a consistent rainfall record

    are overcome in hydrologic model calibration.

    Table 1 presents some of the important systematic errors

    identified in a World Meteorological Organization report

    that are associated with rain gauges. Each gauge has a

    specific set of systematic errors. If a gauge is changed

    either for a new model or a new gauge type, these

    systematic errors change, making the record inconsistent.

    Gauge Calibration

    Rain gauge calibration has an impact on record consisten-

    cy, especially if the method of calibration changes period-

    ically. For example, if a static calibration is used one time

    and a dynamic calibration is used another, rainfall mea-

    surement will be inconsistent.

    Static calibration of an ALERT tipping bucket usually

    sets the 1 mm tipping bucket to tip after the accumulation

    of 72.94 grams of water ( i.e. the weight of 1 mm of water

    across the area of the 12.0 in. ALERT gauge orifice).

    Dynamic calibration, on the other hand, sets the bucket

    to tip the correct number of times associated with a certain

    rainfall rate, usually 6 in./hr. for ALERT gauges.

    Unfortunately, it's impossible to have an ALERT tipping

    bucket calibrated to tip at exactly 1 mm (72.94 grams) andandandandand

    be calibrated for zero error at a rate of 6 in./hr. In other

    words, you cant have your cake and eat it too!

    Table 1: Main components of systematic error in precipitation measurement and their meteorological and instrumental factors listed in orderof importance. (Sevruk, 1982)

    a: 20 mph

    b: 15 mph

    c: 10 mph

    ab

    c

    Figure 5: Growth of vegetation over time significantly changes windvelocity at gauge site and alters catch characteristics.

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    The reason for this paradox is that in dynamic operation,

    the tipping bucket takes a finite amount of time (e.g. on

    the order of 0.5 sec) to tip. If the bucket is calibrated to tip

    at exactly 1 mm, rain will still accumulate in the bucket

    until the bucket moves past the midpoint of the tip and the

    rain begins to accumulate in the second bucket. This

    extra rain accumulating in the first bucket during the tip

    is unmeasured. A bucket calibrated to tip at exactly 1 mm

    will tip fewer times and under report rainfall at higher

    rates.

    Dynamic calibration takes the tip time into account im-

    plicitly. In order to calibrate a tipping bucket to have zero

    error at a rainfall rate of 6 in./hr., the bucket must be

    calibrated to tip at a lower volume (e.g. 69.6 grams,

    approximately). This lower volume plus the volume

    associated with the tipping time will total 1 mm and the

    tipping bucket will exhibit zero error at the dynamic

    calibration rate of 6 in./hr.

    Calibrating a tipping bucket to zero error at 6 in./hr. usinga smaller volume to initiate a bucket tip implies that the

    tipping bucket might tip more frequently at lower rainfall

    rates and, therefore, over report the rainfall. However, at

    least in some ALERT tipping buckets, the tipping time is

    slightly longer at lower rainfall rates which compensates

    for the lower calibrated volume. A properly functioning

    ALERT tipping bucket dynamically calibrated to zero

    error at 6 in./hr. shouldnt over report at lower rainfall

    rates by more than 1-2%.

    Implications for Hydrologic Analysis

    How systematically must the precipitation indexing ca-

    pability be maintained in order to be useful in determining

    runoff? Figure 6 shows the effect which an inconsistent

    gauging network would produce in evaluating the storms

    contribution to peak discharge. Assuming moderately dry

    Figure 7: Errors in rainfall estimates produce relatively greater errorsin runoff estimates.

    0

    200

    400

    600

    800

    TotalRunoffError(%)

    0 50 100 150 200

    Total Rainfall Error (%)

    Magnification of Precipitation ErrorSCS Runoff Model

    8"

    6"

    4"

    2"

    NoError

    Magnification of precipitationerror in runoff estimates

    Figure 6: Errors in rainfall estimates can generate large errors inestimates of peak discharge

    0

    100

    200

    300

    400

    500

    600

    700

    800

    900

    1000

    PercentVariability

    0 1 2 3 4 5 6 7 8 9 10 11 12Catchment Rainfall (inches)

    Variablity of Peak DischargeDue to Errors in Rainfall Estimates

    Small California Coastal Catchment

    Moderately Dry

    (Runoff using rainfall x 1.05) - (Runoff using rainfall x 0.95)Runoff using rainfall x 0.95

    x 100

    initial soil moisture conditions, a variety of storms of

    various magnitudes were analyzed to determine the rela-

    tive difference in the expected contribution to peak flow

    if the precipitation was overvalued by 5% compared to

    being undervalued by 5%. These relatively small changes

    in precipitation indexing capability produce errors whichare inversely related to the quantity of runoff. The propor-

    tional variation in peak flow can readily exceed three

    hundred percent when runoff volumes are small. In a

    major flood event, with high runoff volumes, the runoff

    error converges very slowly toward the rainfall error. This

    convergence is however, so slow that for the storm

    rainfall values used to produce Figure 6, the proportional

    runoff variation is just dropping below 20% for very large

    storm rainfall volumes. Thus, for even major events, we

    can conclude that inconsistency in evaluating precipita-

    tion which is as little as 5%, can have substantial impacts

    upon runoff determination.

    Figure 7 again shows how rainfall errors are magnified.

    When soils are nearly saturated, runoff nearly equals the

    rainfall and the runoff error is just slightly larger than the

    rainfall errors in large events. However, for smaller

    events and dryer soils, the effect of errors is much more

    pronounced. In this case, a 100% rainfall error is magni-

    fied by a factor of 3.5 to 4 for a 2 inch event.

    Summary

    Unfortunately, there are so many factors which can influ-ence the accuracy of precipitation measurements that no

    one has yet been able to devise a gauge that will consis-

    tently measure true rain. The measurements which

    have been judged most accurate are those which have

    been observed with pit gauges. But pit gauges are ex-

    tremely expensive to operate and have major constraints

    which substantially limit their application to research

    projects. The best that can be hoped for is that the gauging

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    9477 Greenback Lane, Suite 523A, Folsom, CA 95630

    equipment will operate close to the scale of reality and

    with a degree of consistency which will provide a stable

    index to the rainfall-runoff process. Inasmuch as it takes

    many years of consistent data to define the rainfall-runoff

    relationship, it is a mistake to continually modify an

    operational gauge seeking a better approximation oftrue

    rain.

    There are two essential elements in the effective applica-tion of rainfall data to streamflow forecasting. The rain

    gauge network must adequately index the precipitation

    falling on a catchment and it must do so in a consistent

    manner which does not alter the indexing capability with

    time. The first of these elements is achieved by installing

    an adequate network of appropriately sited and consis-

    tently measuring precipitation gauges. Regardless of the

    density of the gauge network, a second element is neces-

    sary. A consistent representation of the runoff regime is

    dependent upon effective systematic maintenance of

    both the equipment and the gauging site. Only through

    these steps can the investment in real-time data produce

    the flood warning capability for which the flood warning

    system was intended.

    References

    Alena, Thomas; et. al.,Measurement Accuracy Enhancement

    of Tipping Bucket Rain Gauges at High Rainfall Rates, Fifth

    International Conference on Interactive Information and

    Processing Systems, AMS publication, 1989

    Frisinger, H. Howard, The History of Meteorology: toThe History of Meteorology: toThe History of Meteorology: toThe History of Meteorology: toThe History of Meteorology: to

    18001800180018001800, Science History Publications, AMS, 1977, pp 88-91

    Larson, Lee and Eugene L. Peck,Accuracy of Precipitation

    Measurements for Hydrologic Forecasting, Water Resourc-Water Resourc-Water Resourc-Water Resourc-Water Resourc-

    es Researches Researches Researches Researches Research, Vol 10, No. 4, 1974

    Sevruk, B., Methods of Correction for Systematic Error in

    Point Precipitation Measurement for Operational Use,

    Operational Hydrology Report 21Operational Hydrology Report 21Operational Hydrology Report 21Operational Hydrology Report 21Operational Hydrology Report 21, World Meteorological

    Organization, Geneva, Switzerland, 1982

    Symons, G. J. On the Rainfall Observations Made Upon

    Yorkminster by Professor John Phillips, F.R.S, BritishBritishBritishBritishBritish

    RainfallRainfallRainfallRainfallRainfall, pp 41-45, 1881

    Weiss, L. L. and W. T. Wilson, Precipitation Gauge Shields,

    International Union of Geodesy and GeophysicsInternational Union of Geodesy and GeophysicsInternational Union of Geodesy and GeophysicsInternational Union of Geodesy and GeophysicsInternational Union of Geodesy and Geophysics, GeneralAssembly of Toronto, 1957, Volume 1, pp 462-484

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    IntroductionThe most common application programs in automated

    flood warning systems are the runoff and river forecast

    programs. These programs use observed and, in some

    cases, forecast rainfall amounts to compute the amount of

    water that will enter the stream system.

    Forecast Models

    The purpose of a forecast model is to estimate future river

    flows and elevations based on observed or forecast amounts

    of rainfall. In flash flood situations, certain portions of the

    forecast hydrograph are more important than others.Accurate forecasts of the rising limb, the time to hydro-

    graph peak, and the magnitude of the peak are critical.

    These are the elements of model output that have the most

    impact on the flood warning. The model implemented in

    a flood warning system must consistently perform well in

    these three areas.

    Before model selection, one very important element,

    rainfall estimation, must be considered. The volume of

    water under the rising limb of a flash flood hydrograph is

    primarily surface runoff. Basins with short response

    times are often characterized by low infiltration rates andsteep slopes which efficiently generate runoff. Because

    these basins efficiently generate runoff, especially during

    periods of high intensity rainfall, the volume of runoff is

    very sensitive to the volume of rainfall. This implies that

    the output of a flash flood forecast model will also be very

    sensitive to the rainfall inputs.

    Flash flood forecast sensitivity to rainfall inputs serves to

    emphasize the importance of establishing a good mea-

    surement system first. The phrase commonly heard in the

    computer industry, Garbage in. Garbage out. is equally

    applicable to flash flood forecasting. Good model perfor-mance, no matter what model is used, cannot be expected

    without a good measurement system. The implication for

    forecast system design is to invest in the measurement

    and detection systems first, then consider hydrologic

    models.

    There are many different hydrologic forecast models in

    use. The most commonly used models in local flood

    warning systems fall into two categories: simple index-

    type models and conceptual rainfall-runoff models. In-dex models keep a running index that reflects current

    moisture conditions. The moisture index, a time of

    year index, current rainfall, and rainfall duration is

    generally all thats needed to estimate surface runoff

    with these models. Conceptual models attempt to

    provide a more physically-based approach to basin

    modeling by more explicitly accounting for

    evapotranspiration, interception storage, retention stor-

    age, infiltration, surface runoff, percolation, interflow,

    etc.

    Table 2 shows the most widely available models forlocal flood warning systems.

    CHOOSING A HYDROLOGIC MODEL FOR FLOOD FORECASTING

    API ModelAPI ModelAPI ModelAPI ModelAPI Model The API (Antecedent Precipitation Index)

    Model was developed by the National Weather Service

    and has been used in various forms since the 1950s. The

    antecedent precipitation index reflects the current soil

    moisture based on recent rainfall. A high index means

    high soil moisture content while a low index indicates dry

    conditions. The API for a given period is used with a

    rainfall-runoff relationship, the rainfall amount, and the

    storm duration to estimate runoff. A unit hydrograph is

    applied to distribute the runoff. At each computational

    period, the index is updated based on the additional

    rainfall and by a seasonally dependent factor. The season-

    ally dependent factor empirically accounts for changes inthe rainfall-runoff relationship due to seasonal changes in

    evapotranspiration, infiltration, etc.

    Complex basins can be modeled by applying the API

    technique to individual sub-basins that are hydrologically

    homogeneous. Outflows from sub-basins can be routed

    downstream and combined with other tributary flows and

    inflows calculated by the API model for local areas.

    Table 2: Flood Forecast Models

    Index Models Conceptual ModelsAPI Sacramento Soil Moisture

    ADVIS HEC1-F

    Flood Advisory Tables SSARR

    By

    David C. Curtis, Ph.D.

    NEXRAIN Corporation

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    Many versions of the API model exist. Most National

    Weather Service River Forecast Centers that use API

    have added modifications to customize the technique

    for conditions in basins within their area of responsibility.

    At least eight different implementations of API are used

    by the National Weather Service.

    The API model is simple and relatively easy to under-

    stand. It is also relatively easy to adjust. Forecasters can

    easily change model parameters or model runoff based on

    his or her assessment of the current event to improve

    model performance.

    ADVISADVISADVISADVISADVIS The ADVIS program (Sweeny, 1988), devel-

    oped by the National Weather Service for local flood

    warning, includes an API model as its primary hydrolog-

    ic forecast technique. (All National Weather Service

    implementations of API are available in ADVIS) ADVIS

    is a simplified implementation of hydrologic modeling

    that produces output appropriate for the local user de-

    pending upon what type of information is available. For

    example, ADVIS output includes:

    Categorical forecasts for ungaged

    watersheds. Categorical forecasts are general forecasts of

    minor, moderate, or severe flooding based on the

    antecedent precipitation index and rainfall estimates.

    Crest stage forecast. ADVIS will generate a

    crest forecast if the unit hydrograph peak is available.

    Forecast hydrograph. Where the complete unit

    hydrograph is available, ADVIS generates a complete

    forecast hydrograph.

    The ADVIS program is intended to address relatively

    simple hydrologic situations at the local level.

    Flood Advisory TablesFlood Advisory TablesFlood Advisory TablesFlood Advisory TablesFlood Advisory Tables Flood advisory tables are used

    to provide a quick estimate of peak stage forecasts usingindices produced by the API or other modelling tech-

    niques. The tables are computed in advance for a variety

    of antecedent conditions. The current index can be com-

    puted on-site or provided by a local National Weather

    Service office. Local users apply the current index with

    the latest rainfall estimate to the table to determine the

    estimated peak stage. An estimated time to peak is usually

    available based on previous analysis of basin response

    times.

    Sacramento Soil Moisture Accounting ModelSacramento Soil Moisture Accounting ModelSacramento Soil Moisture Accounting ModelSacramento Soil Moisture Accounting ModelSacramento Soil Moisture Accounting Model

    The Sacramento Soil Moisture Accounting Model is aconceptual model designed as a comprehensive represen-

    tation of the hydrologic processes of the upper soil man-

    tel. Evapotranspiration, direct runoff from impervious

    areas, surface runoff, percolation, interflow, and two

    types of base flow are explicitly represented. Runoff

    calculated for each period is distributed using a unit

    hydrograph.

    Figure 8: Sacramento Soil Moisture Accounting Model

    Evapotranspirat ionDem and Precipitation

    E T

    E T

    E T

    E T

    E T

    Pervio us Im p e rvio us D ire c t Runo ff

    Sur face Runof f

    Interflow

    Tens ionWater

    FreeWater

    Excess

    Percolat ion

    1 -PFre e PFre e

    TotalC h an n e l

    Inflow

    DistributionFunction

    Stream Flow

    SubsurfaceDischarge

    SideTotal Base

    Flow

    SupplementalBase Flow

    PrimaryBase Flow

    TensionWater

    FreeP

    FreeS

    Reserve

    Sacramento Soil Moisture Accounting Model

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    Each hydrologic process is represented by a function orseries of functions with adjustable parameters. The model

    is calibrated with historical rainfall and streamflow data

    by adjusting parameters until the model output adequate-

    ly represents basin response. The model is applied to

    individual basins that are hydrologically homogeneous.

    Complex basins are modeled by combining outflows

    from individual basins using a variety of available routing

    techniques.

    HEC1-FHEC1-FHEC1-FHEC1-FHEC1-F The Hydrologic Engineering Center (HEC)

    has developed a forecasting system for COE offices that

    is also available for local flood warning systems. Theforecast technique uses an initial and uniform loss rate to

    compute runoff which is applied to a unit hydrograph to

    produce a basin forecast. Results from each basin can be

    combined and routed to develop forecasts for complex

    systems. HEC1-F uses observed streamflows to set prop-

    er loss rate parameters.

    HEC1-F can be calibrated relatively easily. Most of the

    necessary parameters can be easily obtained from maps.

    Infiltration parameters and certain characteristics of the

    unit hydrograph can be estimated initially. During a flood

    event, HEC1-F evaluates model performance against

    observed stream flow and automatically adjusts the ap-

    propriate parameters.

    HEC1-F is the forecast version of HEC-1, a widely used

    hydrologic design tool. Many different public and private

    organizations throughout the United States have usedHEC1 to generate flood hydrographs for a variety of

    purposes from bridge design to flood plain mapping. As

    a result, many local engineers understand the model and

    the transition to HEC1-F is relatively easy.

    SSARRSSARRSSARRSSARRSSARR The Synthesized Streamflow and Reservoir Reg-

    ulation (SSARR) model was developed jointly by the

    National Weather Service and the COE. It is a tool used

    by the respective agencies in the Pacific Northwest for

    flood forecasting and reservoir regulation. The SSARR

    model provides a continuous accounting of soil moisture

    to determine how much of the incident rainfall andsnowmelt will become runoff. Three phases of runoff are

    computed: direct runoff, interflow, and baseflow. Each

    phase is routed through a series or cascade of linear

    reservoirs to produce the total streamflow.

    Hydrologic Model Selection

    Choosing the appropriate hydrologic model is a task

    open to much debate. A widely cited study by the World

    Meteorological Organization indicated that the API tech-

    nique, the Sacramento model, and the SSARR model all

    gave about the same results in humid climates. However,explicit soil moisture accounting models like SSARR and

    the Sacramento model were clearly superior to the API

    model for arid and semi-arid climates. In humid environ-

    ments, soil moisture conditions are less variable than in

    arid or semi-arid climates. The added complexity of the

    explicit soil moisture accounting models to handle wide

    ranging conditions doesnt contribute significantly to

    model performance when conditions are relatively stable.

    However, when conditions are rapidly changing, some

    researchers have found that explicit soil moisture ac-

    counting models offer a significant performance advan-

    tage.

    When reviewing studies comparing the complex explicit

    soil moisture accounting models with simpler index ap-

    proaches, an important insight was noted. While the

    simpler models performed well, statistically, compared

    to the explicit soil moisture accounting models, signifi-

    cant deviations occurred at key points. These deviations,

    while significant, were rare and tended to have little effect

    on the overall statistics. However, the deviations were

    Figure 9: The SSARR Model

    AreaElevation Prec ip ita tion Tem pe rature

    Snow

    Accum ulaton

    Snowm eltRainfall

    MoistureInput

    Soi lMoisture

    Runoff

    BaseFlow

    DirectRunoff

    Su bSurface

    Surface

    SM I

    BI I

    S-SS

    Routing

    Rou ting Ro uting

    Evaporat ion

    Stream flow

    SSARR Mo del

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    References

    Burnash, Robert J. C., Ferral, R. L., and McGuire, Rich-

    ard L., A Generalized Streamflow Simulation System,

    National Weather Service, California Department of Water

    Resources, Sacramento, California, 1973

    Dotson, Harry W., John C. Peters, Hydrologic Aspects

    of Flood Warning - Preparedness Programs, Technical

    Paper No. 131, U.S. Army Corps of Engineers Hydrolog-

    ic Engineering Center, Davis, CA, August 1990

    Federal Interagency Advisory Committee, Guidelines on

    Community Local Flood Warning and Response Sys-

    tems, National Technical Information Service, Spring-

    field, VA, August 1985

    Kitanidis, P. R., and R. L. Bras, Real-Time Forecasting

    with a Conceptual Hydrologic Model, 2: Application and

    Results, Water Resources Research, Volume 16, No. 6,1980, pp. 1034-1044

    Linsley, Ray K., Max Kohler, and Joseph L. H. Paulhus,

    Hydrology for Engineers, Third Edition, McGraw-Hill,

    1982

    Nemec, J., Design and Operation of Forecasting Opera-

    tional Real-Time Hydrological Systems (FORTH), World

    Meteorological Organization, Geneva, Switzerland, un-

    published manuscript, Figure 12, 1984

    Pabst, Art, State-of-the-Art Flood Forecasting Technol-

    ogy, Proceedings of a Seminar on Local Flood Warning

    - Response Systems, US Army Corps of Engineers, 10-12

    December, 1986

    Sittner, Walter T., Catchment Response in the Computer

    Age, Computer Applications in Water Resources, Harry

    C. Toro, ed., ASCE, 1985, pp. 749-757

    Sittner, W.T., C.E. Schauss, and John Monroe, Contin-

    uous Hydrograph Synthesis with an API-Type Hydro-

    graph Model, Water Resources Research, Vol. 5, No. 5,

    1969, pp. 1007-1022

    Sorooshian, Soroosh,Identifiability in Conceptual Rain-

    fall-Runoff Models, Computerized Decision Support

    Systems for Water Managers, Proceedings of the 3rdWater Resources Operations Management Workshop,

    ASCE, 1988, pp 172-183

    Sweeny, Timothy L., Flash Flood Hydrologic Forecast

    Model, ADVIS, Computerized Decision Support Sys-

    tems for Water Managers, Proceedings of the 3rd Water

    Resources Operations Management Workshop, ASCE,

    1988, pp. 683-692

    U.S. Army Corps of Engineers, General Guidelines for

    Comprehensive Flood Warning/Preparedness Studies,

    Hydrologic Engineering Center, Davis, CA, October 1988

    U.S. Army Corps of Engineers Hydrologic Engineering

    Center, Floodway Determination Using Computer Pro-

    gram HEC-2, Training Document No. 5, January 1988

    U.S. Army Corps of Engineers, Water Control Software:

    Forecast and Operations, Hydrologic Engineering Cen-

    ter, Davis, California, December 1989

    U.S. Army Corps of Engineers, SSARR Users Manual,

    North Pacific Division, Portland, Oregon, May 1991

    World Meteorological Organization, Intercomparison

    of Conceptual Models Used in Operational HydrologicForecasting, Operational Hydrology Report No. 7, Annex

    III, p 47, Geneva, Switzerland, 1975

    frequently observed when extreme hydrologic conditions

    existed. The complex models could manage the extremes

    where the simpler approaches were not capable. These

    rare events are precisely the events that offer the greatest

    potential for hazard mitigation.

    The choice of models in specific situations remains

    difficult. After all the analysis of which model performs

    the best for a given basin, it ultimately depends upon thecapabilities and resources of local users. Complex models

    requiring a high level of support might be appropriate in

    cases where local skills and resources can handle it.

    However, the same model may be entirely inappropriate

    in situations with lower levels of local hydrologic skill

    and resources.

    To summarize model selection:

    Choose a model that is within the capabilities of the

    local user to understand, operate, and maintain,

    Choose a model that is appropriate for the localhydrologic regime, and

    Choose a model that will provide the best estimate of

    the rising limb, the time to peak, and the flood peak.