Julio Alberto Garcia Leal Ing. Automatización Electrónica Esp . Telemática

1. Precipitation Statistical Characterization Series in Bogotá towards the Implementation of Mathematical Models for Completing Missing Data using WEATHER RADAR and SATELLITEL TECHNOLOGY Julio Alberto Garcia Leal Ing. Automatización Electrónica Esp. Telemática Est.MsC. Hidrosistemas Tutora: Eddy Herrera Daza MsC.Estadistica Candidata PhDIngenieria Pontificia Universidad Javeriana – Bogotá Colombia - Fortaleza 01- 12 November 2010

2. Introduction • Presentation on research project under my PhD tutor. Eddy Herrera Daza -Precipitation Statistical Characterization Series in Bogotá towards the Implementation of Mathematical Models for Completing Missing Data using WEATHER RADAR and SATELLITEL TECHNOLOGY

3. Objetives • Regionalization of rainfall fields through satellite images and weather radar • Previous analysis of 1D profiles to full 2D image processing • Forecasting of rainfall field using satellite image and weather radar

4. Precipitation is the key hydrologic variable linking the atmosphere with land surface processes, and playing a dominant role in both weather and climate. . Additionally, many international research programs have placed high priority on the development of reliable global precipitation observation. During the past few decades, satellite sensor technology has facilitated the development of innovative approaches to global precipitation observations. Clearly, satellite-based technologies have the potential to provide improved precipitation estimates for large portions of the world where gauge observations are limited. Recently many satellite-based precipitation algorithms have been developed (Ba and Gruber, 2001; Huffman et al., 2002; Joyce et al., 2004; Negri et al., 2002; Sorooshian et al., 2000; Tapiador et al., 2002; Turk et al., 2002; Vicente et al., 1998; Weng et al., 2003). These algorithms generate precipitation products consisting of higher spatial and temporal resolution with potential to be used in hydrologic research and water resources applications. Evaluation of recently developed precipitation products over various regions is ongoing (Ebert, 2004; Kidd, 2004; Janowiak, 2004). I N T R O D U C T I O N

5. B E C A U S E C L O U D S I M A G E S Clouds, which are at the source of the hydrological cycle, are the most obvious manifestation of the earth's turbulent atmospheric dynamics (Lovejoy, s. 1982)(Wilkinson, J. & Kanellopoulos, J. eta 1995). By modulating the input of solar radiation, they play a critical role in the maintenance of the earth's climate . They are also one of the main sources of uncertainty in current climate modelling.

6. StudyArea Department: Cundinamarca City: Bogotá D.C In 2005, the city had a population of 7.881 .156 people in its urban area, 6.778 .691 people in the city and a population density of approx. 3,912 inhabitants per square kilometer according to figures presented by the National Bureau of Statistics (DANE) of the 2005 census

7. WeatherStations 16 WeatherStationsRiverupstreamBogotafor DEPAE

8. StudyArea (WeatherStations)

9. Methodology Colombia does not have weather radar through Adquisitioninformatión Radar image satellite images of cloudy scenes ImageProcessing SegmentationImage ParameterExtraction as: contours of theClouds Reflectivies

10. Weather radar image • Sampling time: every 10 minutesLocation: Bogota D.CImage Creation: From Time Series • Movie:

11. Consider the correlation must be equal to 1 CorrelationImage between Radar image DifferentScales SatelliteImage Classification Cluster Twoor more classes Support Vector Machine (SVM) methods of supervised or unsupervised classification

12. Path Wavelet (Space - Time) The Mellin transform is an integral transform that may be regarded as the multiplicative version of the two-sided Laplace transform. This integral transform is closely connected to the theory of Dirichlet series, and is often used in number theory and the theory of asymptotic expansions. It is closely related to the Laplace transform and the Fourier transform, and the theory of the gamma function and allied special functions. Fourier (Rotation and Translation) KalmanFilter Prediction Rainfall Tracking Storm

13. KalmanFilter

14. C A L I B R T I O N A N D V A L I D A T I O N Ground gauge and radar data are used in the evaluation to provide an overview of daily as well as seasonal statistics of satellite and ground-based precipitation observation. Several regional evaluation studies of satellite high-resolution precipitation were applied to the validation of results and calibration

15. E X P E C T E D R E S U L T S • Regionalization of rainfall fields • analysis of 1D and 2D image • Regionalization based on a methodology that complements the forecasting

16. R.F. Cahalan, in Advances in Remote Sensing and Retrieval Methods, edited by A. Deepak, H. Fleming, J.Theon (Deepak Pub, Hampton, 1989), p. 371. Fractals in Geoscience and Remote Sensing, Image Understanding Research Series, vol. 1, ECSC-EC-EAEC, edited by G. G. Wilkinson, J. Kanellopoulos, J. Megier (Brussels, Luxemburg, 1995). BIBLIOGRAPHY

17. Thanks