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New Mesoscale Modeling by Raw Output Statistics ROS

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Title: New Mesoscale Modeling by Raw Output Statistics ROS


1
New Mesoscale Modeling by Raw Output Statistics
(ROS)
2
  • How did the ROS model begin, and WHY do we need
    another model?
  • Glad you asked.

3
  • The ROS model recieved its start from aviation
    and fire weather. Forecasters were searching for
    a quick way to find ceiling heights as well as
    model produced fire weather parameters.
    Nationally produced guidance did not have either
    of these conveniences.
  • From there, others began to ask if the ROS could
    catch micro and mesoscale meteorological
    phenomenonsuch as lake effect snowfall in
    Duluth, Minnesota and sea fog episodes in New
    Orleans. We put it to the test by inserting some
    local research and study material and the model
    began to show signs of working. After some fine
    tuning, the ROS was on its way.

4
  • 2) We dont really need another NATIONALLY
    PRODUCED MODEL. Models are beginning to be run at
    the local level such as the WSeta. This model can
    also be run through the ROS. It is proving to be
    an inexpensive way to produce model forecasts. It
    may also show some strength over the nationally
    produced guidance.
  • NCEP would never be able to tackle such a
    tremendous project as running a mesoscale model
    for every single office. This is because each
    office has its own set of fire weather fields as
    well as mountains, hills, valleys, and lakes to
    input. Individual stations can also change modes
    when necessaryi.e. winter to summer equation
    useage.

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7
  • Marine data continues to be collected for use in
    the marine ROS. The introduction of the new buoy
    sensors will add some very important and much
    needed data to these setsBUT there are some big
    problems facing the model output at this time.
  • The first problem is quite obviousthere are no
    observations other than sea surface and winds for
    verification purposes. Thereforewe can not see
    how well the model is performing with visibility
    or cloud heights.
  • The final problem is there are no data sets to
    apply to the model equations and or algorithms
    for these variables. The continental zones have
    all the data they can handle for predictors.

8
  • That is not to say we do not try. The New Orleans
    office is sourcing the only data available for
    visibility and cloud heights. Those data sets are
    from near shore and onshore locations including
    those observations from the Houston CWA, Lake
    Charles CWA, New Orleans CWA, Mobile CWA, and
    Tallahassee CWA.
  • And we come up with something that looks like
    this
  • CWA Coastal Warning Area

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11
ETA ROS Explanation and Description of Fields
  • 1 ETAROS7 TERICK KNEW 060545
  • 2 GPT ETA ROS GUIDANCE 05/06/2002 0000UTC
  • 3 WKDY MON
    TUE WED
  • 3 DATE /MAY 6 /MAY
    7 /MAY 8
  • 3 HOUR 03 06 09 12 15 18 21 00 03 06 09 12
    15 18 21 00 03 06 09 12
  • The first line gives the model file name, the
    developer, the permanent station it is run from
    and the Z time it is run.
  • The second line gives the station it is run for,
    the name of the model and the date the model is
    valid for.
  • The next 3 fields are time fields. One special
    feature here that isnt found on any other short
    term alphanumeric model is the day of the week.
    It is simply run as an algorithm inside the
    source code.

12
  • 1 MNMX 35( 35) 43( 43)
    34( 34) 46( 46)
    33
  • 2 TEMP 35 35 37 37 39 39 43 41 39
    38 36 34 39 44 45 42 38 34 33 33
  • 3 DWPT 34 35 35 35 35 33 33 36 35
    35 33 32 30 30 29 29 26 27 27 26
  • 1) Max Min temperature in F
  • 2) Temperature on the hour in F
  • 3) Dew Point temperature on the hour in F

13
  • 1 CLDS Olt Olt Olt Olt O2 O2 O3 O2 O1 O2 CL CL CL
    CL CL CL CL CL S6 S
  • 2 CLHT 08 08 08 08 19 23 33 19 15 23 00
    00 00 00 00 00 00 00 63 17
  • 3 TMPO 05 05 05 05 15 19 28 15 11 19
  • 4 TTSK OV OV OV OV OV OV OV OV OV OV CL CL
    CL CL CL CL CL CL PC PC
  • Prevailing lowest possible cloud level.
  • Cloud height to the 100s and 1000s of feet.
  • The CLDS field will tell if this number shows
    100s or 1000s of feet. As an example, Olt will
    first tell you the lowest prevailing cloud
    condition will be O overcast and the height of
    this deck will be lt less than 1000ft. Then the
    CLHT field would be read with two zeros. If a
    number is shown in the CLDS field then the CLHT
    field will be read also with two zeros. If a gt
    or sign is used then the CLHT field will be
    read with three zeros.
  • Temporary ceilings when the LCL has high RH
    values. This field will always be shown in 100s
    of feet never 1000s and will always be equal to
    or less than the prevailing cloud height.
  • 4) Total sky cover accumulates all cloud levels

14
  • Cloud Height Equation and Algorithm
  • Others who have worked with the TERICK equation
    are
  • Dr. Eric Pani of the University of Louisiana at
    Monroe set thermodynamic theory and an integral
    explanation to the equationBob Rozumalski of
    COMET explained and found errors in the original
    equationand Peter Parke of the National Weather
    Service in Duluth, Minnesota worked with
    verifying the units used in the equation.
  • TERICK EQUATION
  • WHERE
  • Hl (Hc Hl)/(Tc Ts) LCH HlLCL height
    in feet TcConv temp in C
  • If (Tc Ts) lt 0 then (Hc Hl) 0 HcCCL
    height in feet TsSFC temp in C
  • LCHLowest Cloud Height

15
  • 1 VSBY 05 P6 04 P6 P6 P6 P6 P6 P6 P6 P6 P6 P6 P6
    P6 P6
  • 2 OBVS -S -S
  • 1) The visibility is developed through local
    studies and research. There are many variables to
    this field.
  • 2) The obstruction to visibility shows the
    weather phenomenon responsible for causing the
    reduction in visibility.

16
  • WDIR 35 36 01 02 02 03 02 03 02 01 32 33 34 34
    33 35 33 32
  • WSPD 13 10 11 10 10 08 07 05 06 04 06 08 08 08 09
    06 08 10
  • Wind direction and wind speed in knots.

17
  • PP06 0 0 0 0 0 2 16
    37 17 0
  • PP12 0 0 2
    26 6
  • 6 12 hour POP fields. These are derived from
    local studies and research as well.
  • ALWAYS CHECK FOR RH INITIALIZATION BEFORE USING
    POPS FROM ANY MODEL.

18
  • TTPP 00 00 00 00 00 00 00 00 00 00 12
    01 04 16 19 17 11 06 00
  • PTYP RA RA RA RA RA RA RA RA
  • Total precipitation is straight from the raw
    grids. In other words, the amount of QPF you see
    on the raw grids is the amount shown here.
  • The total precip field is shown to the hundredths
    of an inch. They are also cumulative over each
    three hour period.
  • The Precipitation Type field is the only one
    computed through BUFKITit uses a thickness
    scheme.

19
  • 1 SNAC 00 00 00 00 .5 .5 .2 .8 01 03 02 .2
    00 00 00 00 00 00 00
  • 2 SWEQ 01 01 01 01 01 02 02 03 03 03 05 05 05 05
    05 04 04 04 03
  • Snow accumulation. It is read with a decimal for
    any amounts under an inch. When the amount is an
    inch or greater, it will drop the decimal and
    show a rounded whole inch.
  • The snow water equivalent is produced with the
    use of remote sensing. This field is updated once
    a week.

20
  • INTERGOVERNMENTAL USE ONLY...-12MET60.SITE
  • WCHL  12 22 27 25 24 25 23 18 14 20 22 20 19 10
    07 02-08-02 03-09
  • HINX  60 65 72 85 87 92 95 93 97 99 98 99 99 98
    98 95 92 93 92 91
  • LE06    22     0      0      0      0     
    0      0    15  57  54
  • LE12           16           0     
           0             7            69
  • TEMP  12 23 28 27 27 28 24 19 19 29 31 28 27 22
    16 12 09 14 15 06
  • These are test fields.
  • The wind chill and heat index are seasonal. They
    are shown here because they are not
    representative when temperatures fall outside the
    equations threshold.
  • The Lake effect pop field is currently in
    testing. It uses vectorization along with a few
    other predictors to determine the percentage of
    purely lake effect pops.
  • The temperature field here is a failed attempt to
    better the sfc temperature output without
    statistics.

21
  • Equations and Algorithms
  • Fields which are stripped and clipped straight
    from the ETA raw data
  • are as follows
  • DATE-gt date
  • HOUR-gt UTC hour
  • TEMP -gt temperature
  • DWPT-gt dew point
  • WDIR-gt wind direction
  • WSPD-gt wind speed
  • TTPP-gt total water equivalent precipitation
  • SWEQ-gt snow water equivalent
  • PTYP-gt precipitation type (produced by BUFKIT
    algorithms)

22
  • Fields which are derived locally are as follows
  • All header information
  • WKDY-gt weekday
  • MNMX-gt min/max temp
  • CLDS-gt predominant cloud cover and level
  • CLHT-gt predominant cloud height
  • TMPO-gt temporary ceiling height
  • TTSK-gt total sky cover
  • VSBY-gt visibility
  • OBVS-gt obstruction to visibility
  • PP06-gt 6 hour probability of precipitation
  • PP12-gt 12 hour probability of precipitation
  • SNAC-gt snow accumulation
  • HMNMX-gt relative humidity min/max percentages
  • SFCRH-gt surface relative humidity
  • HAINS-gt haines index
  • MIXHT-gt mixing height
  • TPRTD-gt transport direction

23
ERRORS IN ANY MODEL CAN COME FROM MANY SOURCES
  • Errors in the Initial Conditions
  • 1. Observational Data Coverage
  • a. Spatial Density
  • b. Temporal Frequency
  • 2. Errors in the Data
  • a. Instrument Errors
  • b. Representativeness Errors
  • 3. Errors in Quality Control
  • 4. Errors in Objective Analysis
  • 5. Errors in Data Assimilation
  • 6. Missing Variables
  • Errors in the Model
  • 1. Equations of Motion Incomplete
  • 2. Errors in the Numerical Approximations
  • a. Horizontal Resolution
  • b. Vertical Resolution
  • c. Time Integration Procedure
  • 3. Boundary Conditions
  • a. Horizontal
  • b. Vertical
  • 4. Terrain
  • 5. Physical Processes
  • a. Precipitation
  • 1. Stratiform (Grid Scale)
  • 2. Convective Precipitation
  • b. Radiation (Short-wave/Long-wave)
  • c. Surface Energy Balance
  • d. Boundary Layer
  • 1. Surface Layer (0-10m)

24
  • Intrinsic Predictability Limitations
  • Even with error-free observations and a "perfect"
    model, forecast errors will grow with time.
  • No matter what resolution of observations is
    used, there are always unmeasured scales of
    motion. The energy in these scales transfers both
    up and down scale. The upward transfer of energy
    from scales less than the observing resolution
    represents an energy source for larger-scale
    motions in the atmosphere that will not be
    present in the numerical model. Thus, the real
    atmosphere and the atmosphere that is represented
    in the numerical model are different. For this
    reason, the model forecast and the real
    atmosphere will diverge with time. This error
    growth is roughly equal to a doubling of error
    every 2-3 days. Therefore, even very small
    initial errors can result in major errors for a
    long-range forecast.
  • The problem just stated is the essence of chaos
    theory applied to meteorology. This theory
    proposes that nothing is entirely predictable,
    that even very small perturbations in a system
    result in unpredictable changes in time.
  • Forecasts based on climatology will have a
    relatively high level of error, but will remain
    constant over time. Forecasts based on
    persistence (i.e., whatever is happening now will
    happen later) are nearly perfect at extremely
    short range, but quickly deteriorate. Current
    models do well at short ranges, but eventually do
    worse than climatology. A forecast that is worse
    than climatology is considered useless.
  • Even the best model we can envision will, for
    reasons just discussed, produce forecasts that
    deteriorate over time to a quality lower than
    those based on climatology.
  • Our current forecast models have skill up to the
    5-7 day range on the synoptic scale for 500 mb
    heights. (Occasionally, they have skill at 15-30
    days for time-averaged planetary waves.) They
    show much less skill for derived quantities such
    as vorticity advection or precipitation. A
    related predictability limitation is that
    intrinsic error growth will contaminate smaller
    scales faster than larger scales. In other words,
    a small-scale phenomenon will be less well
    forecast than a large-scale phenomenon in the
    same range forecast.
  • However, mesoscale/convective scale
    predictability may not follow this smooth
    progression due to its highly intermittent
    nature. For example, a rotating supercell
    thunderstorm may have more predictability (2-6
    hr) than an airmass thunderstorm (1 hr).
    Topographically and/or diurnally-forced
    circulations such as dry lines and sea breezes
    are more predictable than squall lines.

25
ETA HORIZONTAL DOMAIN
26
This map shows the grid sections that MOS is run.
In other words, when looking at FWC guidance, the
header information will show what equations are
run for that guidance package. These are split
into climatologically favored regions. An
example of the header info is shown here.
BRD C NGM MOS GUIDANCE 6/26/02 0000 UTC
DAY /JUNE 26 /JUNE 27
/JUNE 28 HOUR 06 09 12 15 18 21
00 03 06 09 12 15 18 21 00 03 06 09 12 DLH EC
NGM MOS GUIDANCE 6/26/02 0000 UTC DAY
/JUNE 26 /JUNE 27
/JUNE 28 HOUR 06 09 12 15 18 21 00 03 06
09 12 15 18 21 00 03 06 09 12
27
  • WHAT IS THE FUTURE OF THE ROS???
  • The future of ROS will be what individual offices
    want it to be. Offices using the ROS will break
    the large grids shown in the previous slide into
    very small grid sections relative to the offices
    CWA. This is very high resolution. Currently the
    ROS is run using data from the ETA, but it can
    be configured to run for any numerical model that
    NCEP produces. This is cutting edge technology,
    we here at the New Orleans WSO are doing our best
    to break new ground.
  • Each office will finally have the capability of
    introducing micro and mesoscale variables to
    their output. Studies and research can be sourced
    into the model to make an offices forecast
    extremely strong. All variables will benefit from
    the added data. Since no office can edit the NCEP
    models, this will make the ROS obsolete and
    interactive. Individual fields can be changed or
    removed depending on office needs.
  • An example would be the fire weather fields.
    These can be changed or forced to see what the
    offices users want to see for a particular site.
    MOS will never be able to do that as well as many
    other special features the ROS is able to provide.

28
  • In what kinds of situations would you expect
    statistical guidance to perform well?
  • a) Mesoscale or rare features such as cold-air
    damming
  • b) Situations of abnormal snow cover
  • c) Synoptically forced situations
  • d) Rapidly moving frontal systems
  • e) Heat waves (abnormally high temperatures)

29
  • c) Synoptically forced situations
  • Statistical guidance can be expected to perform
    best in situations where large-scale synoptic
    forcing dominates.

30
  • 2) What are the limitations of MOS guidance that
    you as a forecaster should be aware of?
  • a) Accounts for systematic model errors
  • b) Cannot account for deteriorating model
    accuracy at longer forecast times
  • c) Requires a developmental dataset of
    historical model data
  • d) Multiple predictors can be used
  • e) Improvements to model systematic errors will
    result in degraded MOS guidance

31
  • c) Requires a developmental dataset of
    historical model data
  • e) Improvements to model systematic errors will
    result in degraded MOS guidance

32
  • 3) What types of predictors would you expect to
    carry more weight in the development of MOS
    forecast equations for short-range (0-36 hours)
    projections?
  • a) Model data
  • b) Climate data
  • c) Observed weather elements
  • d) Relative frequency

33
  • a) Model data
  • c) Observed weather elements

34
  • 4) What predictors would you expect to be
    selected for thunderstorm guidance?
  • a) Lifted index
  • b) CAPE
  • c) Relative humidity
  • d) Climatic relative frequency
  • e) Lifted condensation level

35
  • a) Lifted index
  • b) CAPE
  • c) Relative humidity
  • d) Climatic relative frequency
  • e) Lifted condensation level

36
  • 5) Under the influence of which of the following
    would you expect MOS to NOT be reliable?
  • a) Vigorous low-pressure system
  • b) Trapped cold air in a mountain valley
  • c) Squall line
  • d) Overrunning precipitation
  • e) Clear, calm, dry night over the plains
  • f) Tropical cyclone

37
  • b) Trapped cold air in a mountain valley
  • c) Squall line
  • f) Tropical cyclone
  • When mesoscale features are expected to play a
    significant role and extreme or unusual events
    are expected, do not rely on SG output
    (MOS)because IT WILL BE INACURRATE.

38
  • What might explain the cold bias seen in the MRF
    MOS forecasts for projections beyond the 132-hour
    forecast in the graphic?
  • a) A systematic cold bias in the model (as can be
    seen in the direct model output shown in blue)
  • b) Increased weight of climatological data (shown
    in gray)
  • c) Increased weight of observed weather elements
    at extended lead-times
  • d) Poorly chosen predictors

39
  • b) Increased weight of climatological data (shown
    in gray)
  • This is because at 132 hours the largest weighted
    predictor immediately becomes climate data. Much
    smaller weighting functions are given to all
    other variables used as predictors. This means
    the climatalogical coefficient is greatly
    increased.

40
ROS
NWP Models and Their Processes
41
  • BAYESIAN EQUATIONS
  • This is a form of statistical equation. The
    future of probability diagnosis may begin to use
    these type of equations within 5 to 10 years or
    maybe sooner.
  • Bayesian equations are very efficient when
    compared to the current method of least squares
    linear regression. They use past, current and
    future data to derive a probability. They always
    use new information to learn from, and then
    possibly change an outcome based on the new
    information. In this way, MOS model data would be
    learning on two platforms. One would be
    climatology and the second would be the actual
    equations instead of a predictor coefficient
    constant.
  • You can easily find these equations at work today
    in new programs such as Microsoft Word or Excel.
    The funny character that pops up on the side in
    these software use these equations to try and
    find out what you are doing. Then it can give you
    hints or examples to use during your project.

42
  • FOR MORE IN DEPTH INFORMATION ON NWP MODELS,
    PLEASE VISIT
  • http//meted.ucar.edu/nwp/pcu1/ic1/index.htm

43
  • IMPORTANT FACTS AND TERMS
  • Regardless of its strengths, statistical
    postprocessing of model output is still limited
    by the data we put into it (the M in MOS doesn't
    stand for miracle). Some fundamentally important
    points about SG are
  • 1) SG can make a good NWP forecast better, but
    cannot fix a bad NWP forecast.
  • 2) It is designed to fit most cases, assuming a
    normal distribution, therefore in skewed climate
    regimes or outlier cases, SG won't work as well.
  • TERMS
  • Predictand The dependent variable that is to be
    forecast by the SG guidance. Predictands are
    derived from observed weather elements. Examples
    of SG predictands include temperature,
    precipitation probability, visibility, etc.
  • Predictor(s) The independent variable (or
    variables) used in conjunction with the
    predictand to derive a statistical relationship
    that drives statistical guidance. Three basic
    types of predictors are used model output,
    observed weather elements, and climatological
    data.
  • Probability A quantitative expression of
    uncertainty.
  • Persistence Also referred to as the classical
    method, it is the statistical dependence of a
    variable on its own past values (based solely on
    observed weather elements). Persistence can
    account for time lag by relating current
    predictor data to future predictand data as part
    of the development of the statistical
    relationship. For example, what is currently
    occurring in an observed weather element (i.e.,
    temperature) is related statistically to the
    precipitation type that will occur at some future
    forecast time.

44
  • WKDYweekday
  • The weekday is a simple algorithm that uses every
    fourth year as a leap year giving the model
    weekday from the model date.
  • Change any day of year into weekday
  • _at_daynm(TUE,WED,THU,FRI,SAT,SUN,MON)
  • daylp0
  • for(loopyer1991 loopyerlt2050
    loopyer)
  • if(loopyer40)
  • febu29
  • elsif(loopyer4!0)
  • febu28
  • for(loopmon1 loopmonlt12 loopmon)
  • if(loopmon1loopmon3loopmon5lo
    opmon7loopmon8loopmon10loopmon12)
  • for(loopday1 loopdaylt31 loopday)
  • dayloopyerloopmonloopdaydaynmd
    aylp
  • daylp
  • if(daylp70)
  • daylp0

45
  • CLOUD GROUPS
  • The CLDS group is computed in conjunction with
    the CLHTTMPOand TTSK fields.
  • The model uses a top down approach. MOS uses a
    bottom up. First the model calculates the lowest
    possible level a prevailing cloud layer will be
    found.
  • A) LCL height in feet
  • B) Height of min RH between LCL and CCL
  • C) LCL height in feet result of the TERICK
    equation
  • An algorithm run by the model determines which of
    these will be calculated and used. It then runs
    down the sounding profile keeping every level
    that meets a preset RH criteria for cloud layers.
    When it finds one it keeps it until another is
    foundthen replaces that level with the current
    and so on...until it reaches the calculated
    lowest height. The height that is saved last will
    be set as the lowest ceiling height if it meets
    the RH value for a ceiling. The ROS always gives
    precedence to BKN or OVC. In other wordsif it
    sees any BKN or OVC layer in the sounding, then
    no matter how low a SCT layer may be, it will
    still not be shown. The height is set in the CLHT
    field and the LCL is checked for high RH
    levelsif found then the TMPO group will receive
    this deck. All the layers are then counted and
    the model decides from the total layers, which
    category of clouds to use in the TTSK group,
    either CLPCMCor OV. The clouds algorithm is
    extremely complicated but gives a strong answer
    to cloud heights.
  • Here is a set of RH values from the ROS
  • ovclowendRHL91.5print " VV2"
  • bknlowendRHL84.5
  • sctlowendRHL78.5
  • ciglowendRHL90.0
  • stopatCCLorLCLLtotalfeetplusLCLL

46
  • TERICK EQUATION
  • Hl (Hc Hl)/(Tc Ts) LCH
  • If (Tc Ts) lt 0 then (Hc Hl) 0
  • The way this equation works is quite simple. It
    uses the temperature difference between the
    Convective temp and the forecasted or ambient
    temp AND the height difference between the LCL
    and the CCL. This height is divided by the temp
    difference and the resulting height is added to
    the LCL to get the lowest cloud height. This
    process simply holds the latent heating within
    the parcel until it is cool enough to condense.
    The equation was created because textbooks only
    showed two processes. When a parcel is forced
    (LCL) and when the parcel is convectively driven
    (CCL). The only thing one will find in a textbook
    about when both of these processes are occurring
    at the same time is the cloud height will be
    found somewhere between the LCL and the CCL.
    This simply wasnt good enough and I knew I could
    at least get close to an actual height. Below is
    a pictorial explanation.

47
  • VSBYvisibility
  • The Visibility section is calculated with studies
    and research. There are really no equations used,
    instead an enormous algorithm is used with
    generic low visibility producing variables or
    predictors. One visibility producing algorithm is
    shown below. This field will also show
    restrictions due to precipitation.

48
This is one set of equations used by NGM MOS for
the cool season over the northern grid. It takes
many more to make up an entire run. The ROS uses
the same technique except these equations have
been manipulated to fit the ETA data.
49
  • SNACsnow accumulation
  • This field is a result of team effort involving
    local research. A research project was undertaken
    to find how deep snow would accumulate using
    temperature to water-equivalent ratios. I simply
    took this data and sourced it for use by the ROS
    model. Here are the ratios used
  • TEMP RATIO
  • gt35F 71
  • 29-34F 101
  • 20-28F 151
  • 10-19F 201
  • 0 - 9F 301
  • lt 0F 401

SNWE or .10 of water equivelant at 35F
equals .70 of snow accumulation.
50
  • SFCRHsurface relative humidity
  • Relative Humidity equation used
  • Es 6.11 10.0(7.5 Tc / (237.7 Tc))
  • E 6.11 10.0(7.5 TDc / (237.7 TDc))
  • RH (E/Es) 100.0

51
  • HAINShaines index
  • The ROS computes the Haines index by national
    standards and uses the actual stations elevation.
    This is the most accurate method of getting the
    index, but local fire officials may want the data
    to show a generic view instead. This can be done
    when the ROS is used with the WS ETA. This field,
    and others, can be forced to show what fire
    officials currently use in their areas. No
    forcing can currently be done since other fields
    rely on elevation as well.

These are the generic boundaries of the
Haines Index elevation determiners. The elevation
determines the level at which temperature and
dew point data are drawn to calulate the index.
The actual elevations range from Low lt
1000ft Mid 1000-3000ft High gt 3000ft
52
  • HAINES INDEX CONTINUED

53
  • MIXHTmixing height
  • The mixing height is not an equation but an
    algorithm. The ROS simply moves up a dry adiabat
    until it crosses the ambient temperature line.
    This is normally at an inversion level.

54
  • TPRTDtransport direction TPRTStransport speed
  • Transport winds are defined as the average wind
    speed and direction of all winds within the layer
    between the surface and the mixing height. An
    explanation of how to equate average transport
    winds will be given over the next few tiles.
  • First, since wind is a vector, the averaging
    process begins with the calculation of the zonal
    (U-component) and the meridional (V-component) of
    the wind at each level.

The meridional component of the wind, V, is
considered positive when the wind is blowing
from south to north. A south wind has a positive
meridional component while a north wind has a
negative meridional component. The zonal
component of the wind, U, is considered positive
when the wind is blowing from west to east.
Thus, a west wind has a positive zonal component
and an east wind a negative zonal component.
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  • TRANSPORT WINDS CONTINUED
  • If the speed of the wind is (ff) and the
    direction in degrees is (dd), then the formula
    for obtaining the meridional component, V, and
    the zonal component, U, are
  • V -ff cos(dd)
  • U -ff sin(dd)
  • Given the U and V components of the average wind
    speed, the following equation is used to
    calculate the direction of the transport wind

56
  • VNTRTventilation rate
  • The ventilation rate is calculated nationally by
    multiplying the transport wind by the mixing
    height in feet and dividing the result by a
    constant 5280. Fire officials want the
    ventilation rate calculated another way which
    renders the result non-dimensional. Since the
    result is non-dimensional, it is not considered a
    ratetherefore it is only given as a ventilation
    number.
  • NATIONAL EQUATION
  • (Transport wind speed) x (Mixing height) / (5280)
    vent rate
  • mph ft constant ft2/hr
  • FIRE OFFICIALS EQUATION
  • (Transport wind speed) x (Mixing height) vent
    number
  • mph ft miles ft/hr
  • ROS calculates using the fire officials equation.
    It also has to divide the final number by 3600.
    This is done so the answer can fit into the field
    width provided. These can be changed for
    individual station preferences.

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  • CATDYcategory day
  • The category day is basically an index taken from
    the ventilation number. These are the values that
    drive the index.
  • Category Day Ventilation Number
  • 1 0 - 17,249
  • 2 17,250-34,499
  • 3 34,500-51,749
  • 4 51,750-68,999
  • 5 69,000 or greater

58
  • DISPNdispersion index
  • The dispersion index is calculated by dividing
    the mixing height by 1000, then multiplying the
    result by the transport wind speed(mph).
  • (mixing height) / (1000) x (transport wind speed)
    disp index
  • ft constant mph
  • These are the values that drive the index.
  • gt100 Excellent
  • 61-100 Good
  • 41-60 Average
  • 21-40 Fair
  • 8-20 Poor
  • 0-7 Very Poor

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  • 20DIR20 foot wind direction 20SPD20 foot wind
    direction
  • This field is very simple. The ROS simply takes
    the first level above the two meter surface and
    converts the speed into mph and gives the
    direction.

60
  • SUNHRmeteorological sunlight hours
  • This is an extremely complicated field. It looks
    all too easy but the computations and algorithms
    that are used to find a value are immense. All of
    the computations used can not be shown but the
    main emphasis can be conveyed.
  • The ROS first computes the total daylight hours
    using latitude longitude and date. It then
    strips the TTSK group for each hour and
    associates the sky cover with an amount of time.
    This time is added and the total is subtracted
    from the total daylight hours.
  • The ROS is the only model with this capability.

61
  • LALEVlightning activity level
  • The LAL is taken directly from Jeanne Hoadley of
    the National Weather Service in Missoula, Montana
    and Don Latham of the Intermountain Fire Sciences
    Laboratorys work. The LAL is a CONDITIONAL
    value. In other words, one must have everything
    in place for thunderstorms to form before this
    field can be used.
  • The numbers calculated are taken from the
    CAPELIand 700mb thetaE. Below are the
    associations.
  • LAL CAPE LI THETA-E
  • 1 lt100 gt2 no thetaE max
  • 2 100-500 2to-2
    310-320
  • 3 gt500 -2to-4
    320-340
  • 4 gt1000 lt-4
    gt330
  • 5 gt1500 lt-4
    gt340
  • 6 RHlt60 along with LAL 3
    requirements only.

62
  • LTGFQlightning frequency
  • Lightning frequency was basically taken straight
    from the LAL and observed data. It works over a
    15and 15 minute interval. It gives the amount
    of strikes that should be produced by any single
    thunderstorm cell. This field is also
    CONDITIONAL. The numbers are rounded to the
    nearest whole number. More work may be done on a
    local level to make this a stronger field. The
    following associations are what the ROS uses.
  • LAL FREQUENCY STRIKES INTERVAL
  • 1 0 0 CG 1-5-15
  • 2 1 1 . 1-5 . 1-8 CG 1-5-15
  • 3 2 1-2 . 6-10 . 9-15 CG
    1-5-15
  • 4 4 2-3 . 11-15 . 16-25 CG 1-5-15
  • 5 5 3 . 15-25 CG 1-5-15
  • 6 3 SAME AS LAL3 ABOVE

63
  • HINXheat index
  • This number uses the ambient temperature and the
    calculated relative humidity to find the heat
    index temperature. This field is extremely
    useful. By simply scanning the heat index
    numbers, one can quickly determine if the
    forecast may need to be watched more carefully
    over the next few days for heat advisory
    criteria. It uses the equation implemented by the
    National Weather Service. It is a seasonal field
    and is replaced by the wind chill index during
    the Fall. The following is the equation used
  • HI -42.379 2.04901523TempF 10.14333127RH
  • - 0.22475541TempFRH - .00683783TempF2
  • - .05481717RH2 .00122874TempF2RH
  • .00085282TempFRH2
  • - .00000199TempF2RH2

64
  • WINXwind chill index
  • This number uses the ambient temperature and the
    wind speed to find the wind chill temperature.
    This field is extremely useful. By simply
    scanning the wind chill numbers, one can quickly
    determine if the forecast may need to be watched
    more carefully over the next few days for wind
    chill advisory criteria. It uses the newest
    equation implemented by the National Weather
    Service. It is a seasonal field and is replaced
    by the heat index during the Spring. This
    equation does not account for solar radiation to
    the skin. This is to be added in the coming years
    by NOAA. When it is, this equation will be
    updated to show that change. The following is the
    equation used
  • WC 35.74 0.6215TempF -35.75windSpkt0.16
    0.4275TempFwindSpkt0.16

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