122 Tropical Cyclone Research and Review Volume 3, No. 2 TCRAIN – A DATABASE OF TROPICAL CYCLONE RAINFALL PRODUCTS FOR NORTH INDIAN OCEAN S. Balachandran, B. Geetha, K. Ramesh, and N. Selvam Cyclone Warning Research Centre, Regional Meteorological Centre, Chennai, India ABSTRACT Analysis of tropical cyclone (TC) rainfall characteristics helps in understanding and improving quantitative precipitation forecasts of TCs. Based on the Tropical Rainfall Measuring Mission (TRMM) rainfall data for the period of 2000-2010, a TC rainfall database –Tropical Cyclone Rainfall Analysis for North Indian Ocean (TCRAIN) is developed to study the precipitation characteristics during various stages of life cycle of TCs of the North Indian Ocean (NIO). Three rainfall products, viz., frequency distribution of rain rate, azimuthally averaged radial profile of rain rate and quadrant mean rain rate with respect to the TC centre and the direction of motion of the TC are generated in a Lagrangian frame of coordinate system for 5 intensity stages of life cycle of each cyclone over NIO. Using this TCRAIN database, composites of frequency distribution of rain rates as well as quadrant mean rain rate for TCs of NIO are generated to bring out probable rain rates and asymmetric structure in rainfall distribution. Rainfall profiles for individual cases are likely to deviate from the climatological profiles under different environmental and oceanic conditions. TCRAIN database would serve as a useful tool for carrying out intensity based analytical studies on structure of rainfall associated with cyclones of NIO through ready depiction of TC rainfall profiles. Keywords: tropical cyclone, rainfall, radial profile, quadrant mean, TCRAIN 1.Introduction India, having an extensive coastline is vulnerable to the destruction caused by gale winds, storm surges and heavy rains associated with landfalling tropical cyclones (TCs) that form over the North Indian Ocean (NIO) basin comprising of the Bay of Bengal (BOB) and the Arabian Sea (AS). Understanding the structure and dynamics of TC rainfall would help in generating reliable TC rainfall forecasts. It has been shown that the rainfall distribution around a TC is highly complex and is determined by environmental factors such as wind shear, sea surface temperature, moisture distribution as well as TC specific factors such as intensity, location, translational speed and direction of motion and local effects such as topography and orientation of the coast (Chen et al. 2006; Corbosiero and Molinari 2003; Rogers 2003). Consequently, TC precipitation characteristics can vary greatly from one TC to another and even from time to time for a particular TC. However, owing to sparse data over oceanic regions, early Corresponding author address: Dr. S. BALACHANDRAN, Cyclone Warning Research Centre, Office of the Director General of Meteorology, Regional Meteorological Centre, 6 College Road, Chennai - 600 006, Tamil Nadu, India. E-mail: [email protected] DOI: 10.6057/2014TCRR02.05 attempts on Quantitative Precipitation Forecasts for TCs did not show good skill as they assumed a constant rain rate, while in reality, precipitation distribution displayed asymmetric nature. With the advent of satellite based observations, several datasets covering oceanic regions are being generated. Whereas the rain gauge observations provide data over the land areas, satellite based observations, supplement for the rainfall data associated with a TC when it is over the ocean. The Tropical Rainfall Measuring Mission (TRMM, available at http://trmm. gsfc.nasa.gov, Kummerow et al. 1998), a joint U.S.Japan satellite mission to monitor tropical and subtropical precipitation is an important initiative for generating satellite based estimates of rain rates over the entire tropical region of the globe. Several studies have been undertaken based on satellite/radar estimates of rain rates around TCs to understand the complexities in the asymmetry in rainfall distribution. Generally, (i) the radial profile of the azimuthally averaged rain rate (ii) frequency distribution of rain rate in different rainfall rate classes and (iii) the quadrant mean and standard deviation of rain rate are used to study the asymmetry/symmetry structure of the precipitation distribution around tropical cyclones. Whereas the composite approach May 2014 BALACHANDRAN et al. is used to bring out typical features smoothing out variabilities in individual cases, case studies would bring out salient features that draw attention for further studies. In case of TCs both observational and numerical studies showed significant variation of rainfall asymmetry from storm to storm (e.g., Lonfat et al 2004). Hence development of a database of above mentioned rainfall products for individual storms would help in validating results from numerical simulation of TC rainfall features as well as to elucidate TC rainfall features under different scenario like recurving versus non-recurving TCs, under El Niño–La Niña conditions, during strengthening and weakening phases etc. In the present study, the development of an analytical tool Tropical Cyclone Rainfall Analysis for North Indian Ocean (TCRAIN) which provides the following three products for 43 TCs that occurred over the NIO during the period 20002010 is presented: a.Frequency distribution of rain rates within 500 km from the TC centre b.Azimuthally averaged radial profiles of mean rain rates within 500 km from the TC centre c.Quadrant-wise mean rain rates within 200 km from the TC centre and with respect to the direction of movement of the TC 2. Database and products development As mentioned above, the present work is aimed at generating profiles of (i) percentage frequency distribution of rain rates, (ii) azimuthally averaged radial mean rain rate and (iii) quadrant-wise mean rain rate for different intensity stages of each TC of the NIO during the period 20002010. These products are generated using 3-hrly TRMM 3B42 V6 dataset. This dataset provides precipitation rate at horizontal resolution of 0.25° X 0.25° at 3 hourly temporal resolution over 50°N to 50°S. This dataset is prepared from combination of TRMM precipitation RADAR, Microwave Imager, Visible and Infrared Scanner. The 3B42 processing has been designed to maximise data quality and has been recommended for research work and further details are available at http://disc.sci.gsfc.nasa.gov/. Durai et al. (2010) and Srivastava (2011) showed that TRMM 3B42 V6 product is in good agreement with gauge observed data over Indian region. During the period 2000-2010, 43 TCs formed in the NIO basin. According to India Meteorological Department (IMD), low pressure systems are categorized, based on maximum sustained surface wind speeds (MWS), as Low (MWS <17 knots), Depression (D, 17-27 knots), Deep Depression (DD, 28-33 knots), Cyclonic Storms (CS, 34-47 knots), Severe Cyclonic Storms (SCS, 48-63 knots), Very Severe Cyclonic Storm (VSCS, 64-119 knots), and Super Cyclonic Storm ( SuCS, >120kts). Using the IMD’s best track data of TCs (www.imd.gov. in) which contain information on instantaneous position, intensity and direction of motion of the TC, the life cycle 123 of a TC is stratified based on intensity during the growth and decay of the TC and grouped into 5 stages as given Fig. 1 (i.e.), the growing phase of the life cycle of the TC is classified into 3 intensification stages, viz., 1 the intensity categories of D, DD are categorised as Stage-1 (Intensification stage 1 and indicated as iD); 2 the category CS is categorised as Stage-2 (Intensification stage 2 and indicated as iCS); 3 the categories of SCS, VSCS and SuCS are grouped under Stage-3 (Intensification stage 3 and indicated as iSCS). The decaying phase (i.e., when the intensity category of the TC changes from the peak category to lower categories) of the TC is classified into two stages of weakening, viz., 1 the intensity category of CS during the decaying phase is classified under Stage-4 (Weakening CS and indicated as wCS) 2 the categories of DD and D during the decaying phase as Stage-5 (Weakening D and indicated as wD). Firstly, the direction of motion of TCs is determined from the IMD’s best track data using position difference method. Next, a moving coordinate system with the TC centre as the origin and direction of motion of the TC as the reference direction was considered. For each best track position, the centre of the coordinate system is first shifted to the centre of the TC and then the coordinate system is rotated such that the direction of motion of the TC at that specific instant of time coincides with the 0° azimuth (which is taken as the positive Y-direction for the purpose of plot- Fig. 1. Schematic representation of intensity stratification of a TC 124 Tropical Cyclone Research and Review ting). For this purpose, every grid point in the world coordinate system (longitude, latitude) are represented in polar co-ordinates (r, θ), in terms of radial distance from the TC centre (r) and oriented at an angle (θ) with reference to direction of motion of the TC . All 0.25°x0.25° rainfall data are then represented in terms of radial distance from the TC centre and with reference to the direction of motion of the TC. This procedure is repeated for all 3hourly TRMM rainfall data. Next, all three hourly rainfall data belonging to specific category of intensification and weakening are grouped together and the composite mean rainfall for each of these category were generated. Using this composite mean rainfall for each stage, the precipitation characteristics are determined by computing (i) percentage frequency distribution of rain rates, (ii) azimuthally averaged radial mean rain rate and (iii) quadrant-wise mean rain rate as detailed in the following sections. 3. Rainfall analysis products The percentage frequency distribution of rain rates is determined by considering all rain rates within 5° radius (≈500 km from the TC centre) in respect of all the 3-hourly instances of observation grouped under the specific intensity category. For this purpose, the rain rates are classified into nine classes (including no rain category) as 0.0, 0.0-0.1, 0.1-0.2, 0.2-0.5, 0.5-1.0, 1.0-2.5, 2.5-5.0, 5.0-10.0 and >10.0 mm/hr and the frequency distribution in each class is determined and expressed in percentage by binning method for each intensity stage of the TC. A sample product is shown in Fig. 2. The percentage of nonraining areas are computed and mentioned separately below the graph. Radial profile of rain rate provides information about the radial rainfall variation with respect to the TC centre. Radial profile of mean rain rates is obtained by Fig. 2. Sample product of Frequency distribution of rain rates within 5° radial distance Volume 3, No. 2 first azimuthally averaging rain rates within an annulus of very small thickness [0.1° (≈10 km)] for a particular radial distance r, and then determining the same for all radial distances from the TC centre up to 5° radius (≈500 km from the TC centre) for each instant of observation and then determining the mean of all the mean rain rates corresponding to each radial distance (annulus at that radius) in respect of all observations in the specific intensity category. For this purpose, for each observation, the origin is shifted to the TC centre. Then an area within 5° radius (≈500 km) from the TC centre (origin) is taken and divided in to 50 annular rings of 0.1° width (≈10 km). Each data point within 5° radius from the TC centre is then expressed in terms of radial distance from the centre (r) and all rain rates within each annulus of radius r are considered for determining the azimuthally averaged rain rate at the radial distance r of the annulus from the TC centre. Similarly, instantaneous profiles are obtained for all observations grouped under a specific intensity stage from which the mean profile of azimuthally averaged mean rain rate for that intensity stage is determined. Similar profiles are obtained for all intensity stages during the life cycle of the TC. Fig. 3a depicts the steps schematically and Fig. 3b provides a sample Radial Profile product. The Quadrant-wise mean rain rates are obtained by averaging all rain rates within 2 degree radius from the TC centre with the direction of motion of the TC as the reference direction or each instant of observation and then determining the mean rain rate in each quadrant in the specific intensity category of the TC. For this purpose, the co-ordinate system is rotated through an angle θ1 which is the direction of TC movement measured clockwise from the reference direction (North, which is taken as 0° azimuth as per meteorological convention) such that the direction of movement of the TC is now oriented along 0° azimuth, the reference direction. Then, in the rotated configuration, the mean of all rain rates in the quadrant 0°-90° (measured Fig. 3a. Schematic representation of steps for determination of azimuthally averaged radial profile of mean rain rate May 2014 BALACHANDRAN et al. 125 of rain rates within 5° radial distance for each intensity stage based on the rainfall associated with all the 43 TCs of NIO during 2000-2010 are presented in Fig. 5 and the number of data points in each rain rate class for each stage of intensity are given in Table 1. The percentage frequency of no rain is greater than 50% of the area and it generally increases with each stage of intensity. During the stages of intensification, non-raining areas occupy 59%, 67% and 64% of the area and during the weakening stages, 7577% of the area do not receive any rainfall. Increasing non-raining areas during the intensification stages indicate organization of spiral rain bands leaving more non-raining areas between the bands. Increasing non-raining areas during the weakening stages indicate decreasing convective activity. Fig. 3b. A sample product of Radial Profile of rain rates within 5° radial distance clockwise from the direction of movement of the TC) from the TC centre up to 2 degree radius is determined which gives the mean rain rate in the Right Forward quadrant. Similarly, mean of all rain rates in the quadrant 90°-180° within 2 degree radius gives the mean rain rate in the Right Rear quadrant, that in quadrants 180°-270° and 270°360° correspond to Left Rear and Left Forward quadrants respectively. Fig. 4a depicts the steps schematically and Fig. 4b provides a sample product. 4.Characteristics of TC rainfall distribution over NIO a. Frequency distribution of rain rates To understand the variation in the amount of rainfall around TCs of NIO, composites of frequency distribution Fig. 4b. A sample product of quadrant mean rain rates within 2° radial distance Fig. 4a. Schematic representation of steps for determination of quadrant-wise mean rain rates 126 Tropical Cyclone Research and Review Volume 3, No. 2 Table 1. Stage-wise distribution of rain rates for various rain rate classes around Tropical Cyclones of North Indian Ocean within 5° radial distance from the TC centre Rain rate (mm/hr) Stage 0 0-0.1 0.1-0.2 0.2-0.50.5-1.01.0-2.52.5-5.05.0-10.0>10.0 Stage-1 29240797265542 14809 31177 69111 4542519821 8041 Stage-2 298702 8335 4946 12922 22028 46035 29901 15875 7131 Stage-3 262917 9144 5536 14408 24080 46662 27068 14687 8538 Stage-4 79957 2125 1371 3436 4707 7966 3381 2006 1178 Stage-5 159504 3800 2235 5586 8291 13817 7863 4253 2128 (based on 3-hrly TRMM 3B42V6 data during the period 2000-2010) Total frequency 496059 444710 413040 106127 207477 Fig. 6a. Quadrant mean rain rates during various stages of intensity of TCs of NIO. FL: front left, FR: front right, BL: back left and BR: back right quadrants Fig. 5. Frequency distribution of rain rates around TCs of NIO upto 5° radial distance and for various intensity stages. (black shade: intensification stages; gray shade: weakening stages) It may be noted that 1-2.5 mm/hr is the most frequently occurring rain rate during all the five intensity stages of TCs of NIO. It covers an area of about 10-14% during the intensification stages, but only about 6% of the area during the weakening stages. The frequency of rain rates greater than 5 mm/hr is about 10-15% during intensification stages but during weakening stages, such higher rain rates are less frequent at about 5% only. b. Rainfall asymmetry Next, a composite of quadrant-wise [front left (FL), front right (FR), back left (BL) and back right (BR) with respect to direction of motion of the TC] rainfall distribution within 200 km from the centre of 43 TCs that formed over the NIO during 2000-2010 was prepared and same is shown in Fig. 6. From this figure it is noted that during all the five intensity stages, rain rates in the front quadrants are greater than the rain rates in the rear quadrants. Highest rain rates of 3.5-4.5 mm/hr are observed in the FL quadrant during the intensification stages of Stage-1, Stage-2 and Stage-3 followed by the FR quadrant where the mean rain rates are 3-3.5 mm/hr during the first three stages of intensity. Amongst the three stages of intensification, Stage-3 has the highest rain rates in the FL, FR and BR quadrants. In the BL quadrant, mean rain rate during Stage-3 is marginally less than the rain rate during Stage-2. During the same intensity stage of CS, there is a vast variation in the rain rate distribution during intensification and weakening periods. Whereas the mean rain rates in the four quadrants are in the ranges 1.7-3.9 mm/hr during the cyclonic storm stage of intensification phase, the quadrant mean rain rate is in the range 0.5-1.3 mm/hr during cyclonic storm stage of weakening phase. The standard deviation of rain rates in each quadrant are in the range 1-2.45 mm/hr during the stages of intensification and about 0.7-1.58 mm/hr during the stages of weakening. Highest standard deviation of 2.45 mm/hr is in the FL quadrant during the Stage-2. c. Utilisation for case studies and accessibility of products Apart from composite approach to obtain above mentioned typical TC rainfall features, availability of such rainfall analysis products for individual storms would help in analysis of TC rainfall characteristics under different scenario like recurving versus non-recurving TCs, El Niño – La Niña years, during strengthening and weakening phases etc. For example, the tracks and the quadrant mean rainfall plots of two storms that formed during November 2002 and 2005 over BOB are shown in Fig. 7a and b. Af- May 2014 BALACHANDRAN et al. Fig. 6b. Quadrant-wise distribution of rain rates during the intensity stage of cyclonic storm during the growth (Stage-2) and decay (Stage-4) of TCs of NIO (FL, FR, BL and BR: Same as in Fig.6a) 127 128 Tropical Cyclone Research and Review Volume 3, No. 2 Fig. 7. Tracks (a) and quadrant mean rain rates (b) for northward and westward moving storms ter intensification as CS around same region of BOB, one storm moved westward (CS-Baaz, 2005) while the other recurved northward (CS-23Nov, 2002). Highest rain rates are observed in FR quadrant in the case of northward moving storm while it is in the FL quadrant for westward moving storm. For such studies on TC rainfall characteristics under different scenario, above mentioned rainfall products for individual storms can be used. These products are ported in the web as TCRAIN for free access at www. imdchennai.gov.in/ for the benefit of research community and disaster managers. Homepage of the TCRAIN database is shown in Fig. 8. The user has to select the Year, Cyclone, Product and Stage and the corresponding product would be displayed. Presently the rainfall analysis products are available for cyclones formed during the period 2000-2010 and the same is being updated for further Fig. 8. Home page of TCRAIN tool May 2014 BALACHANDRAN et al. 129 years. Utilisation of these TC rainfall products would help in understanding the complex TC rainfall asymmetries which, when studied in relation to physical and dynamical features associated with the TCs would bring out dynamics of TC rainfall variations. intensity based analytical studies on structure and dynamics of rainfall associated with cyclones of NIO, TCRAIN products would provide ready-made profiles of rainfall around TCs of NIO and hence is likely to form a useful database for TC rainfall researchers. 5.Summary Acknowledgements Development of a TRMM based rainfall analytical database for depicting rainfall characteristics of TCs of NIO for the period 2000-2010 is presented. For each TC, three products, viz., frequency distribution of rain rates, azimuthally averaged radial profile of rain rates and quadrant mean rain rates with respect to the storm motion direction determined in a Lagrangian frame of coordinate system with TC centre as origin for every 3-hourly observation and then composited based on intensity stratification (three stages of intensification and two stages of weakening) are presented. Climatological rainfall characteristics of TCs of NIO are presented through composites of frequency distribution of rain rates within 5° radial distance and quadrant mean rain rate for various stages of intensity based on rainfall data of 43 TCs that formed over the NIO during the period 20002010. It is observed that the most frequently occurring rain rate during all the five intensity stages of TCs of NIO is in the range 1-2.5 mm/hr which occur over an area of about 10-14% (6%) within 5° radial distance during the intensification stages (weakening stages). The frequency of rain rates greater than 5 mm/hr is about 10-15% during intensification stages but during weakening stages, such higher rain rates are less frequent at about 5% only. Regarding the asymmetric rainfall structure, among the four quadrants around TCs of NIO, rain rates in the front quadrants are greater than the rain rates in the rear quadrants. Highest rain rates of 3.5-4.5 mm/hr are observed in the FL quadrant during the intensification stages. In case of a westward (recurving northward) moving TC, highest rain rate was observed in the FL (FR) quadrant. Thus, for carrying out Our acknowledgements are due to TRMM, NASA, USA for sharing the TRMM rainfall database. We thank Dr. L. S. Rathore, Director General of Meteorology, IMD for his support and for providing facilities to undertake this project. We are grateful to Shri K. Mathan Mohanram and Shri Srimantha Haldar for technical help in the development of the TCRAIN tool. References Chen, S.S., J.A. Knaff, and F.D. 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