A Method for Developing Climatological Rainfall

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1 A METHOD FOR DEVELOPING CLIMATOLOGICAL RAINFALL INFORMATION: A PRELIMINARY APPLICATION TO LUZON M. A. Estoque and R. T. F. Balmori Climate Studies Division Manila Observatory, Quezon City, Philippines email: [email protected], [email protected] ABSTRACT A method for developing climatological information of monthly rainfall for the Philippines is described. The information consists of monthly rainfall at a uniform array of grid points. This array can be used to construct climatological rainfall maps and other types of graphical representations with the aid of a geographical information system. The method, which has been developed, is based on combining three types of rainfall information. These consist of grid point rainfall values from a fluid dynamical model of the atmosphere, rainfall observations from rain gauge stations and satellite estimates of rainfall. These three types of information are combined by an objective analysis technique in order to obtain rainfall at a uniform network of grid points. The present paper describes an initial application of the method to the island of Luzon for the month of June. In this application, only model-generated rainfall and rainfall from rain gauge stations are used. Satellite data are not included in the application because these are still not available. The atmospheric model, which is used in this initial application, is a simple model--the mixed layer model. The climatological rainfall information, which is produced by the method, is used to construct a climatological map of rainfall for the month of June. The map is compared with a corresponding map prepared by the Climate Branch, Philippine Atmospheric Geophysical and Astronomical Services Administration (PAGASA). The map, which is produced by the present method, exhibits higher horizontal resolution and greater accuracy. ____________________________________________ 1. INTRODUCTION The first significant study of the climate of the Philippines has been made by Father Jose Coronas (1916). An important result of the study is a regional classification of rainfall into four climatic types: the so- called Coronas rainfall types. These types give a general description of the large-scale regional variations of the total monthly rainfall. Subsequent attempts to revise the classification have been made. However, the revised version is not significantly different from the original Coronas classification. A map of this version is shown in Fig. 1. An examination of the geographical distribution of the different rainfall types indicates that these are primarily determined by the directions of the seasonal winds with respect to the

description

Climate Data

Transcript of A Method for Developing Climatological Rainfall

  • 1A METHOD FOR DEVELOPING CLIMATOLOGICAL RAINFALL

    INFORMATION: A PRELIMINARY APPLICATION TO LUZON

    M. A. Estoque and R. T. F. BalmoriClimate Studies Division

    Manila Observatory, Quezon City, Philippinesemail: [email protected], [email protected]

    ABSTRACT

    A method for developing climatological information of monthly rainfall for the Philippines is described. The

    information consists of monthly rainfall at a uniform array of grid points. This array can be used to construct climatological

    rainfall maps and other types of graphical representations with the aid of a geographical information system. The method,

    which has been developed, is based on combining three types of rainfall information. These consist of grid point rainfall

    values from a fluid dynamical model of the atmosphere, rainfall observations from rain gauge stations and satellite estimates

    of rainfall. These three types of information are combined by an objective analysis technique in order to obtain rainfall at a

    uniform network of grid points.

    The present paper describes an initial application of the method to the island of Luzon for the month of June. In this

    application, only model-generated rainfall and rainfall from rain gauge stations are used. Satellite data are not included in

    the application because these are still not available. The atmospheric model, which is used in this initial application, is a

    simple model--the mixed layer model. The climatological rainfall information, which is produced by the method, is used to

    construct a climatological map of rainfall for the month of June. The map is compared with a corresponding map prepared

    by the Climate Branch, Philippine Atmospheric Geophysical and Astronomical Services Administration (PAGASA). The

    map, which is produced by the present method, exhibits higher horizontal resolution and greater accuracy.

    ____________________________________________

    1. INTRODUCTION

    The first significant study of the climate

    of the Philippines has been made by Father

    Jose Coronas (1916). An important result of

    the study is a regional classification of

    rainfall into four climatic types: the so-

    called Coronas rainfall types. These types

    give a general description of the large-scale

    regional variations of the total monthly

    rainfall. Subsequent attempts to revise the

    classification have been made. However,

    the revised version is not significantly

    different from the original Coronas

    classification. A map of this version is

    shown in Fig. 1. An examination of the

    geographical distribution of the different

    rainfall types indicates that these are

    primarily determined by the directions of the

    seasonal winds with respect to the

  • 2mountains. In particular, the rainfall patterns

    indicate the occurrence of rain over the

    windward slopes of mountains and dry

    conditions over the leeside. Consequently,

    there is little rainfall between mountains.

    As indicated in Fig. 1, the Coronas

    classification and its subsequent revisions

    provide only general information on the time

    of occurrence of the rainy and the dry

    seasons of the year. It does not provide high

    resolution, quantitative information

    concerning the geographical distribution of

    rainfall.

    Information consisting of data sets of

    rainfall on a regular grid is needed in

    agriculture, hydrology, architectural

    planning and other practical applications.

    The data are important as input to

    geographical information systems which

    could produce rainfall maps and other types

    of graphical output for many kinds of users.

    For example, farmers could utilize such

    maps as useful guides in planning cropping

    patterns and in designing agricultural

    structures. In this report, the authors

    describe a method for constructing a set of

    gridded rainfall data as well as a high

    resolution, accurate rainfall atlas for the

    Philippines. The method is based on

    combining rainfall output data from fluid

    dynamical models of the atmosphere,

    satellite observations and rain gauge

    observations.

    The construction of an accurate data set

    on rainfall for the Philippines is difficult due

    to the sparse distribution of rain gauge

    stations and the large rainfall variations over

    mountainous areas. It is well known that

    mountainous terrain, or orography, generates

    large space and time variations of rainfall.

    Coastlines also produce similar variations

    with generally less amplitudes. The weather

    disturbances, which produce these

    variations, are small in horizontal scale.

    These consist of convective and mesoscale

    disturbances, whose dimensions range from

    a few kilometers to tens of kilometers. We

    note that these dimensions are relatively

    small compared to the distances between the

    networks of rain gauge stations in the

    Philippines. This condition is indicated in

    Fig. 2, which shows the present network of

    rain gauge stations. Note the large areas

    without stations in Northern Luzon and in

    Mindanao. This network does not show all

    of the stations which are used in this study.

    In the application of the method to be

    described here, we have included the

    observations from some stations which

    stopped operating after the Second World

    War. The locations of the current stations

    with respect to mountains may be inferred

  • 3from Fig. 3, which shows the topography of

    Luzon.

    Fig. 1. A revised version by PAGASA of the original classification of rainfall types by FatherJose Coronas. Type 1: Two pronounced season, dry from November to April and wet during therest of the year. Type 2: No dry seasons with a very pronounced maximum rainfall fromNovember to January. Type 3: Seasons not very pronounced, relatively dry from November toApril and wet during the rest of the year. Type 4: Rainfall more or less evenly distributedthroughout the year.

  • 4Fig. 2. Map showing the current network of rain gauge stations in the Philippines.

  • 5Fig. 2 shows the average distance

    between stations is of the order of 100 km.

    This is about ten times bigger than the

    horizontal scale of weather disturbances,

    which are generated by mountainous and

    coastal regions. Such disturbances produce a

    considerable amount of rainfall in the

    Philippines and other tropical regions. The

    large space variability of rainfall associated

    with mountainous terrain is indicated in Fig.

    4. The figure shows a comparison of the

    July climatological rainfall for three pairs of

    stations. The three pairs consist of Dagupan

    and Baguio, Iba and Tarlac (about 50 km to

    Fig. 3. Map of the terrain heights (m) for Luzon and vicinity.

  • 6the east), and Manila and Antipolo (about 20

    km east of downtown Manila). Note that

    Baguio has 500 mm of rainfall more than

    Dagupan, a station only about 50 km away

    from Baguio. This big difference is due to

    the fact that Baguio is on the windward side

    of the Cordillera Mountains while Dagupan

    is located in the lowlands along the

    shoreline of Lingayen Gulf. The equally

    large rainfall difference of 500 mm between

    Tarlac and Iba is due to fact that Iba is near

    the windward side of the Zambales

    Mountains. In contrast, Tarlac is located on

    the leeside to the east. The difference

    between Antipolo and Manila rainfall is

    smaller than those of the preceding pair of

    stations. Nevertheless, it is still substantial

    if one considers that the distance between

    the stations is only 20 km. The larger

    amount of rainfall in Antipolo is presumably

    due to the effect of the Sierra Madre

    Mountains. The large space variability of

    rainfall, which is indicated in Fig. 4, cannot

    be resolved by the current network of rain

    gauge stations. This lack of resolution is a

    formidable obstacle in the construction of an

    accurate rainfall atlas.

    The rainfall comparison described

    above indicates the important role of

    mountains in determining the variations in

    rainfall. The enhancement of rainfall by

    mountains is primarily the result of two

    physical processes: mechanically forced and

    thermally forced upward motions.

    Mechanical forcing occurs when air is

    forced upward as it blows along the

    windward slopes of a mountain. Fig. 5

    illustrates this effect of mountains in

    generating rainfall over the windward

    slopes. In contrast, the leeside is generally

    characterized by dry conditions. This is due

    to the fact that, as the air descends on this

    side, it becomes warmer and less humid.

    Thermally forced upward motions occur

    during the daytime on sunny days because

    the mountain acts as an elevated heat source

    under these conditions. The heat source

    generates upslope motions during the

    daytime. The upward motions which are

    generated by mechanical and thermal

    forcing cool the air by adiabatic expansion.

    The cooling, in turn, produces clouds and

    rainfall if the air is sufficiently moist. In

    summary, the large variability of rainfall

    produced by mountains, together with the

    usual lack of rain gauge observations over

    mountainous regions, are the biggest

    problems in the construction of rainfall maps

    over these regions. In this connection, one

    finds that this is a major problem in

    constructing rainfall maps for Northern

  • 7Luzon, which is characterized by

    mountainous terrain.

    0

    200

    400

    600

    800

    1000

    Rai

    nfal

    l (m

    m)

    1 2 3

    Stations

    Baguio

    Dagupan

    Tarlac

    Iba

    Manila

    Antipolo

    Fig. 4. Variability of rainfall associated with orographic effects. Baguio, Iba andAntipolo are located over the windward side of a mountain.

    Fig. 5. Schematic diagram showing the generation of rainfall by a mountain.Adapted from Barros and Lettenmaier (1994).

  • 8Methods for estimating rainfall due to

    orographic effects have been developed by

    several investigators on the basis of fluid

    dynamical and statistical models. Examples

    of methods which use fluid dynamical

    models of the atmosphere for estimating

    rainfall due to mechanically-forced lifting

    have been described by Barros and

    Lettenmaier (1994). These methods have

    been applied over the mountainous regions

    of the Western United states. They are

    primarily suitable for describing rainfall

    variations whose horizontal scales range

    from tens to hundreds of kilometers and for

    time scales corresponding to climatological

    time scales. Fluid dynamical models for

    simulating rainfall due to thermally forced

    lifting by mountains have been formulated

    by Orville (1966). A model for simulating

    rainfall generated by sea breezes has been

    described by Estoque et al. (1994). In

    connection with the use of the statistical

    method for estimating rainfall over

    mountainous regions, Daly et al. (1994)

    have described an ingenious method. It

    estimates rainfall at points of a regular grid

    from irregularly distributed rain gauge

    observations.

    The use of fluid dynamical models for

    estimating rainfall, in combination with

    satellite observations, has been done by

    several investigators. For example,

    Grassotti and Garand (1994) have developed

    a method for estimating rainfall at grid

    points with the aid of numerical model

    forecasts and geostationary satellite

    observations (infrared and visible). On the

    other hand, Xie and Arkin (1996) have

    developed an algorithm for constructing

    gridded fields of monthly rainfall by using

    estimates from four sources of satellite

    observations: infrared, visual, microwave

    scattering and microwave emission. These

    observations are merged with rainfall

    generated by a numerical prediction model

    to estimate rainfall. A similar method has

    been described by Huffman et. al. (1995). It

    must be mentioned that the methods which

    have been developed by these investigators

    are suitable only for the determination of

    rainfall distributions due to large-scale

    (synoptic) weather disturbances. The

    horizontal resolution of such distributions is

    of the order of one hundred kilometers.

    3. METHODOLOGY

    In this section, the authors describe the

    method for the construction of a gridded

    distribution of rainfall data for the

    Philippines. The method is basically a

  • 9modification of the methods mentioned in

    the preceding section. Modifications are

    also introduced in order to incorporate the

    effects of small-scale rainfall variations

    which occur in the Philippines, especially

    those associated with orographic effects.

    The modifications involve the use of a high-

    resolution fluid dynamical model (horizontal

    grid distance of about 5 km) and satellite

    observations with about the same resolution.

    The gridded information from the fluid

    dynamical model and from the satellite data

    are subsequently combined with rainfall

    observations from rain gauge stations. By

    combining the high-resolution model rainfall

    and satellite rainfall estimates with the low-

    resolution rain gauge data, our method is

    able to produce a relatively accurate, high-

    resolution set of gridded rainfall data.

    The method for combining grid point

    rainfall values from a fluid dynamical model

    and satellite data with rain gauge

    observations is based on the Cressman

    objective analysis technique. This technique

    requires the use of a preliminary or first

    guess of the grid point values of the rainfall.

    We plan to construct the first guess as a

    weighted average of the grid point values

    from the model and from the satellite data.

    In accordance with the technique, the first

    guess grid point values are subsequently

    modified by a scanning procedure which

    incorporates the contribution of rain gauge

    observations in the vicinity of the grid

    points. Several scans with varying radial

    distances from the grid points are used.

    4. INITIAL APPLICATION OF THE

    METHOD

    We have made an initial application of

    the method described above in order to

    determine its feasibility. This application is

    limited in terms of the following aspects:

    1. The area is limited to the island of

    Luzon and only for the month of

    June. We have confined our

    application to the area to Luzon

    because its northern sections are

    mountainous. Hence, it could

    provide a good test for the ability of

    the method to incorporate orographic

    effects.

    2. Only rainfall observations from rain

    gauge stations are used in this initial

    application. Satellite observations

    are not used because these are not

    available at the present time.

  • 10

    3. The model rainfall is generated by

    the mixed layer model, a simple

    model of the atmosphere. More

    sophisticated three-dimensional fluid

    dynamical models will be considered

    in future applications of the method.

    In brief, the initial application will

    construct a rainfall atlas by combining

    model-generated rainfall data with

    observations from rain gauge stations. The

    fluid dynamical model which is used to

    generate the rainfall is the so-called mixed

    layer model. It has been used in previous

    studies to simulate rainfall for different

    types of weather conditions. It was used by

    Lavoie (1972) to study rainfall which is

    associated with lake-effect storms over Lake

    Ontario. It was also used by Estoque and

    Ninomiya (1976) for studying precipitation

    over Japan. The precipitation is generated by

    the warm waters of the Japan Sea during

    outbreaks of cold air from Siberia in the

    winter monsoon season. The model

    equations are derived by assuming that the

    atmosphere has the simple vertical structure

    shown in Fig. 6.

    The diagram shows that the complex

    structure of the real atmosphere is replaced

    by three layers: (1) a surface layer adjacent

    to the ground; (2) an overlying layer called

    the mixed layer; (3) a stable layer which

    represents the upper layers of the

    atmosphere. The surface layer serves as a

    convenience for estimating the turbulent

    fluxes of heat, momentum and other

    atmospheric properties between the ground

    and the mixed layer. The mixed layer is the

    active layer, which describes the variations

    in time and space of the important

    atmospheric variables, such as wind,

    temperature, clouds, rain and others. Here,

    the variables are assumed to be constant

    along the vertical; however, they vary both

    temporally and horizontally. The figure

    indicates the important parameters which

    describe the inversion. These are the height

    of the inversion (ZT) and the strength of the

    inversion (DTN). These two quantities

    describe the thermal stability of the

    atmosphere with respect to buoyancy-

    generated motions. These motions are

    important in the generation of clouds and

    rain.

    A detailed description of the dynamical

    equations of the mixed layer model is given

    in the abovementioned studies and in other

    subsequent articles. We will, therefore,

    limit the discussion of the model to the

    equations which predict rainfall. The

    original formulation for the rainfall

    prediction in previous studies of Lavoie and

  • 11

    Estoque & Ninomiya is somewhat semi-

    empirical. It estimates the precipitation rate

    in terms of the height of the cloud base, the

    inversion height and the vertical velocity.

    We have replaced this by a more realistic

    treatment which is based on the cloud

    microphysics formulation of Kessler (1969).

    Kesslers formulation involves equations

    which predict the amount of water in cloud

    droplets and in the bigger raindrops. The

    formulation assumes that cloud droplets are

    formed after the air becomes supersaturated.

    The cloud droplets subsequently grow into

    bigger drops (raindrops) as a result of two

    physical processes. The first, auto-

    conversion (AUCON), describes the

    diffusion of small droplets toward bigger

    droplets. The second (ACR) describes the

    accretion or capture of cloud droplets by the

    bigger raindrops as these accelerate

    downward due to gravity. The formulation

    also incorporates the depletion of raindrops

    by evaporation (EVAP).

    O

    Potential Temperature ()

    STABLE LAYER

    SURFACE LAYER10 mZo

    ZS

    ZT

    ZH

    M

    H

    Hei

    ght

    Inversion Strength, DTN

    MIXED LAYER

    Fig. 6. Vertical structure of the atmosphere according to the mixed layer model.

  • 12

    The two processes, which involve the

    formation of rain and its evaporation, are

    described by the equations,

    Eq. (1)

    Eq. (2)

    where,

    [ ]2SS1 K)QQ(KAUCON = ( )( ) 875.06rsss3e 10xQQQKCACR =

    [ ]( ) 65.06rsss4 10QQQKEVAP =

    The important variables are defined as

    follows,

    Q, amount of water in vapor and cloud

    droplets

    Qr, amount of water in raindrops

    u, wind component along the x-axis

    v, wind component along the y-axis

    w, wind component along the z (vertical

    axis)

    Vr, terminal velocity of raindrops

    KH, horizontal diffusion coefficient

    KV, vertical diffusion coefficient

    s, standard air density of the mixed layer

    The most important output of the model

    is the rainfall rate; this quantity is given by,

    Rainfall Rate = -s(VrQr)

    We have adapted these equations for

    our particular model so that they apply to

    entire air columns of the mixed layer. This

    is done by integrating the equations with

    respect to height from the surface layer to

    the top of the mixed layer. The integration

    simplifies the model by eliminating the

    dependence of the equations along the

    vertical coordinate.

    In spite of all the simplifications

    introduced above, the model is able to

    simulate the rainfall contributions due to

    mechanically forced ascending motions over

    the windward slopes of mountains and due

    to weather disturbances, which are generated

    by the daytime heating of the ground. This

    heating is incorporated by assuming a

    diurnal variation of the surface temperature.

    The equation specifies a sinusoidal variation

    of the ground temperature with a maximum

    at noon and a minimum at midnight.

    ( )( )[ ])QQ(EVAP)QQ(ACRQQAUCON1

    QVzz

    Qwy

    Qvx

    Qut

    Q

    rrrs

    rrsrrrr

    +

    +

    =

    ( )[ ])QQ(EVAP)QQ(ACRQQAUCON1zQK

    yQ

    xQK

    zQw

    yQv

    xQu

    tQ

    rrrs

    2

    2

    V2

    2

    2

    2

    H

    ++

    +

    +

    +

    =

  • 13

    Eqs. (1) and (2), together with the

    dynamical equations for the mixed layer,

    have been integrated numerically in order to

    generate gridded rainfall data. A rectangular

    coordinate system is used. The grid distance

    is equal to 8 km along both the x (east-west)

    and the y (northsouth) directions. Initial

    values of the potential temperature, wind,

    height of the mixed layer and the different

    water variables are specified. In particular,

    the corresponding amounts of cloud and rain

    material are initially set to zero. The initial

    wind is assumed to be from the southwest

    with east-west and north-south components

    equal to 5 m/s. The corresponding values of

    the temperature and water vapor are

    determined from a typical sounding in June.

    The initialization is quite subjective due to

    the use of the mixed layer model as a

    representation of the actual atmosphere. The

    subjectivity is introduced in the specification

    of the parameters which define the wind,

    moisture content and the temperature-related

    variables, such as the height of the mixed

    layer and the strength of the inversion

    (DTN). Fortunately, numerical experiments

    with the model indicate that the rainfall

    pattern is relatively insensitive to most of

    the initial conditions. However, the

    magnitude of the rainfall is quite sensitive to

    the mixing ratio for water vapor and the

    height of the inversion.

    Starting with an initial time of 6 A.M.,

    we integrated the model for a period of 24

    hours. At the end of the period, the model

    calculates the total or the accumulated

    rainfall values at grid points. The pattern of

    the accumulated rainfall is shown in Fig. 7.

    Looking at the rainfall distribution, we note

    a striking similarity between this distribution

    and the pattern of terrain elevation in Fig. 3.

    Note that high (low) values of rainfall are

    associated with correspondingly high (low)

    values of terrain elevations. The dominant

    features of the rainfall distribution are the

    three major north-south bands of rainfall

    maxima. These are associated with the

    Zambales Mountains, Sierra Madre

    Mountains and the Cordilleras over

    Northern Luzon. The rainfall bands are

    associated with orographic effects due to

    mechanical forcing of the southwest

    monsoon flow and, to a lesser extent, due to

    the thermal forcing during the daytime.

    Over Northern Luzon, one can see a rainfall

    minimum along the Cagayan Valley

    between a maximum along the Cordilleras

    toward the west and the Sierra Madre

    Mountains toward the east. A similar

    rainfall minimum is indicated over Central

  • 14

    Luzon between the Zambales Mountains and

    the Sierra Madre Mountains to the east.

    The grid point values corresponding to

    the rainfall distribution in Fig. 7 are

    subsequently multiplied by a suitable factor

    in order to convert them into preliminary

    climatological values for June; the factor is

    subjectively specified. Next, the

    preliminary grid point values are added to a

    geographical rainfall average for the

    domain; the average is computed by using

    the climatological rain gauge observations

    for June. The addition produces a final set of

    grid point values of model rainfall. In

    essence, this additive process of arriving at

    the model rainfall assumes that the rainfall

    consists of the contributions of mesoscale

    and large synoptic scale weather

    disturbances. The synoptic scale

    contribution corresponds to the average of

    the observed rainfall from rain gauges.

    Finally, the set of grid point values is used

    as the input (first guess) for an objective

    analysis technique. This technique is based

    on the Cressman successive correction

    method.

    Fig. 7. Rainfall pattern for June produced by the dynamical model.Units: rainfall depth in cm.

  • 15

    5. RESULTS AND DISCUSSION

    As indicated in the previous section, our

    first application of the method involves the

    construction of a rainfall map of Luzon for

    the month of June. The result of the

    application is shown in Fig. 8. Looking at

    the map, one notes that high elevations are

    generally associated with high rainfall.

    Maximum values of 900 mm occur over the

    Cordilleras and the Zambales Mountains.

    These values appear to agree with the large

    rainfall values at Iba (Zambales) and Baguio

    in Table 1. On the other hand, the map

    shows low rainfall along the Cagayan Valley

    with a minimum value of about 100 mm.

    This is confirmed by the low rainfall

    observed at Aparri and Tuguegarao in Table

    1. The map also shows relatively low values

    of about 200 mm over the Central Plain of

    Luzon. The low rainfall along the Cagayan

    Valley and over the Central Pain is

    consistent with the picture shown in Fig. 5.

    These two regions are located at the leeside

    of mountain ranges. At this juncture, it is

    interesting to speculate whether the large

    values of rainfall shown in Fig. 8 over the

    Northern Cordilleras east of Vigan are

    realistic. These large values are also seen

    over the mountains of Mindoro. In these

    two regions, there are no observations (see

    Fig. 2).

    Next, we discuss a more quantitative

    evaluation of the performance of the

    method. This is done by calculating the

    rainfall obtained by the method at the

    location of the rain gauge stations. The

    calculation is an interpolating technique

    which uses the four grid points surrounding

    a particular station. The technique computes

    a weighted average of the four grid point

    values surrounding the rain gauge station.

    The weight is inversely proportional to the

    distance between the grid point and the rain

    gauge station. The interpolated values are

    then compared with the rain gauge

    observations; these interpolated values and

    the observations are shown in Table 2. The

    table shows a close agreement between the

    observed rainfall and the rainfall obtained by

    the method. The largest error is found in

    Baguio with a value of 74 mm.

  • 16

    Fig. 8. Climatological rainfall (mm) for the month of June obtained by using the method.

  • 17

    Table 1. June climatological rainfall at present rain gauge stations of PAGASA.

    STATION LONGITUDE (O) LATITUDE (O) TOTAL RAINFALL (MM)Iba 15.3 120 601

    Baguio 16.4 120.6 501Dagupan 16.1 120.3 374

    NAIA 14.5 121 245Laoag 18.2 120.5 350Vigan 17.9 120.4 340Aparri 18.4 121.6 154

    Tuguegarao 17.6 121.7 158Calapan 13.4 121.2 191Infanta 14.8 121.6 248Daet 14.1 123 182

    Legaspi 13.1 123.7 252Casiguran 16.3 122.1 222Ambulong 14.1 121.1 256

    Table 2. Comparison between calculated rainfall and rainfall from rain gauge observations.

    STATIONS OBSERVED RAINFALL (MM) CALCULATED RAINFALL (MM)Iba 601 601

    Baguio 501 427Dagupan 374 374

    NAIA 245 268Laoag 350 349Vigan 340 340Aparri 154 154

    Tuguegarao 158 158Calapan 191 191Infanta 248 248Daet 182 182

    Legaspi 252 252Casiguran 222 222Ambulong 256 245

    The comparison is summarized by the

    scatter diagram in Fig. 9. The diagram

    shows a very high correlation between the

    two quantities. The largest difference

    between the two quantities is found for

    Baguio; here, the method underestimates the

    rainfall. Some statistical measures of the

    accuracy are: Square of the correlation

    coefficient: 0.93; root mean square error:

    1.251; average absolute error: 3.875. The

  • 18

    regression equation in Fig. 9 may be used to

    estimate the actual rainfall from grid point

    rainfall in regions without rain gauge

    stations.

    A final evaluation of the method is done

    by comparing the rainfall map, which is

    produced by the method, with a

    corresponding map prepared by the Climate

    Branch of PAGASA (See Fig. 10). Looking

    at both maps, one finds that there are some

    similarities in the general patterns of

    rainfall. The most important similarity

    involves the existence of minimum rainfall

    along the Cagayan Valley in both maps.

    However, the enhancement of rainfall by

    mountains is not accurately portrayed by the

    PAGASA map. For example, this map

    shows a rainfall maximum which occurs

    over the coastal region in the province of La

    Union to the northeast of Lingayen Gulf.

    This maximum is not consistent with the

    relatively low rainfall, which is observed

    along the entire coast of the Ilocos Region.

    There are other differences between the two

    maps. For example, the PAGASA map

    shows a narrow strip of maximum rainfall

    along the western coast of Zambales

    Province. On the other hand, our present

    map locates these regions of maxima farther

    to the east over the western slopes of

    mountains. Still another difference involves

    rainfall patterns in the vicinity of the Sierra

    Madre Mountains. The PAGASA map

    shows no evidence of orographic effects. In

    contrast, these effects are well-defined in

    our map. The lack of orographic effects of

    the Sierra Madre Mountains in the PAGASA

    map results in the absence of a well-defined

    minimum rainfall over Central Luzon. The

    present map indicates a well-defined

    minimum. In general, the evaluation shows

    that the present map has more details and

    greater accuracy in the rainfall patterns than

    the PAGASA map.

    y = 0.9079x + 25.004R2 = 0.9332

    0

    100

    200

    300

    400

    500

    600

    700

    0 100 200 300 400 500 600 700

    Observed

    Cal

    cula

    ted

    Fig. 9. Scatter diagram showing the relationship between observed rainfall at rain gaugestations and corresponding calculated rainfall.

  • 19Fig. 10. Climatological rainfall atlas for the month of June prepared by PAGASA.Adapted from a chart available from the Climate Branch of PAGASA.

  • 20

    6. SUMMARY AND FUTURE WORK

    This paper describes a method for

    constructing a grid point array of

    climatological rainfall values; this can be

    portrayed graphically as a climatological

    rainfall map. The grid point values are

    obtained by combining rainfall produced by

    a fluid dynamical model of the atmospheric

    model with rainfall observations. The

    observations, in turn, may consist of rainfall

    observations from ground-based stations as

    well as satellite-derived rainfall. The three

    data sets (model rainfall, rain gauge

    observations and satellite-derived rainfall)

    can be combined in order to generate a

    uniformly-spaced grid point array of rainfall.

    This is done with the aid of an objective

    analysis technique. The result of an initial

    application of the method is presented. In

    this limited application, we use a mixed

    layer model to obtain the model-derived

    rainfall. The observations are limited only to

    rain gauge observations; satellite

    observations are not used because they are

    currently not available. The method is

    applied in the construction of a

    climatological rainfall map for Luzon for the

    month of June. The map is compared with a

    corresponding map which has been prepared

    previously by PAGASA. The comparison

    indicates that present map incorporates the

    effects of mountains more realistically than

    that of the PAGASA map. Furthermore, the

    map appears to have a higher horizontal

    resolution and greater accuracy. Future

    applications of the method will use a more

    realistic three-dimensional model of the

    atmosphere instead of the simple mixed

    layer model. In addition, satellite-derived

    rainfall will be included as an input to the

    method. Ultimately, we expect to construct a

    complete set of climatological rainfall data,

    together with rainfall atlases for all months

    of the year and for the entire Philippines.

    REFERENCES:

    Barros, A.P. and D.P. Lettenmaier, 1994:

    Dynamic modeling of orographically

    induced precipitation. Rev. of Geophys, 32,

    265-284.

    Coronas, S. J., 1920: The climate and the

    weather of the Philippines, 1903 to 1918.

    Bureau of Printing, Manila, 194 pp.

    Daly, C. and Co-authors, 1994: A statistical-

    topographic model for mapping

    climatological precipitation over

  • 21

    mountainous terrain. J. Appl. Meteor., 33,

    140-158.

    Estoque, M. A. and K. Ninomiya, 1976:

    Numerical simulation of Japan Sea Effect.

    Tellus, 28, 243-253.

    Grassotti, C. and L. Garand, 1994:

    Classification-based rainfall estimation

    using satellite and numerical forecast

    model fields. J. Appl. Meteor., 33, 159-

    178.

    Huffman, G. J, and Co-authors, 1995:

    Global precipitation estimates based on a

    technique for combining satellite-based

    estimates, rain gauge analysis, and NWP

    model precipitation information. J.

    Climate, 8, 1284-1295.

    Kessler, E., 1969: On the Distribution and

    Continuity of Water Substance in

    Atmospheric Circulation. Meteor.

    Monogr. No. 32, Amer. Meteor. Soc.,

    Boston, Mass., 84.

    Lavoie, R. L., 1972: A mesoscale numerical

    model of lake effect storms. J. Atmos. Sci.,

    29, 1025-1040.

    Orville, H.D., 1965: A numerical study of

    the initiation of cumulus clouds over

    mountainous terrain. J. Atmos. Sci., 22,

    684-699.

    Xie, P. and P. A. Arkin, 1996: Analysis of

    global monthly precipitation using rain

    gauge observations, satellite estimates, and

    numerical model predictions. J. Climate, 9,

    840-858.

  • 22

    LIST OF SCIENTIFIC REPORTS

    Report No. 1 CLIMATOLOGY OF RAINFALL AND WIND FOR THEPHILIPPINE-SOUTH CHINA SEA REGION PART 1: MONTHLYVARIATIONS (M.A. Estoque, M.V. Sta Maria and J.T. Villarin S.J.;Quezon City, Philippines; March 2000)

    Report No. 2 CLIMATOLOGY OF RAINFALL AND WIND FOR THEPHILIPPINE-SOUTH CHINA SEA REGION PART 2: VARIATIONS DUETO EL NINO AND LA NINA (M.A. Estoque, M.V. Sta Maria and J.T.Villarin S.J.; Quezon City, Philippines; May 2000)

    Report No. 3 CLIMATE CHANGES DUE TO THE URBANIZATION OFMETRO MANILA (M.A. Estoque and M.V. Sta Maria; Quezon City,Philippines; June 2000)

    Report No. 4 CLIMATOLOGICAL CHANGES IN RAINFALL DUE TOURBANIZATION (M.A. Estoque and E.R. Castillo; Quezon City,Philippines; March 2001)

    Report No. 5 CHANGES IN RAINFALL PATTERNS DUE TO THEGROWTH OF AN URBAN AREA (M.A. Estoque and R.T.F. Balmori;Quezon City, Philippines; March 2002)

    Report No. 6 PREDICTABILITY OF DROUGHTS AND FLOODS DUE TO EL NIOAND LA NIA EPISODES (M.A. Estoque and R.T.F. Balmori; QuezonCity, Philippines; June 2002)

    Report No. 7 ENVISIONING FUTURE CLIMATE CONDITIONS IN THEPHILIPPINES: AN ANALYSIS OF GENERAL CIRCULATIONMODELS BASED ON THE SPECIAL REPORT ON EMISSIONSSCENARIO (E.R. Castillo and J.T. Villarin S.J.; Quezon City, Philippines;May 2002)

    Report No. 8 GEODYNAMICS AND GEOKINEMATICS OF SEA LEVEL RISE:SURVEYING THE KEY FACTORS (E.R. Castillo et. al.; Quezon City,Philippines; June 2002)

    Report No. 9 DIURNAL VARIATIONS OF AIR POLLUTION OVER METROMANILA (M.A. Estoque and R.T.F. Balmori; Quezon City, Philippines;December 2002)

    Report No. 10 A METHOD FOR DEVELOPING CLIMATOLOGICAL RAINFALLINFORMATION: A PRELIMINARY APPLICATION TO LUZON (M.A.Estoque and R.T.F. Balmori; Quezon City, Philippines; May 2003)

    Climate Studies DivisionManila Observatory, Quezon City, PhilippinesLIST OF SCIENTIFIC REPORTS