1. An Approach for Modeling the Orographic–Forcing Effect via Random Cascades and the Long‐Term Statistics of Mexico City's Daily Precipitation.
- Author
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Peñaranda‐Vélez, Victor M., Quintanar, Arturo I., Ochoa‐Moya, Carlos A., and Vivoni, Enrique R.
- Subjects
PRECIPITATION variability ,URBAN hydrology ,DIGITAL filters (Mathematics) ,METROPOLITAN areas ,RAINFALL ,WATERSHED management ,PRECIPITATION gauges - Abstract
The orographic effect on the spatial structure of precipitation is a fundamental problem in hydrometeorology that still requires a better understanding of the physical processes involved in the emergence of rainfall patterns and their complex statistical structure. In tropical regions, where meteorological measurements are notoriously sparse and data quality control is often poor or missing, the study of precipitation modeling and prediction is challenging. This research aims to show an innovative approach based on a random cascade downscaling method to generate high‐resolution precipitation products from coarse‐scale precipitation products. This approach also includes a topographic enhancement function for describing the altitudinal variability of precipitation and a numerical diffusion filter to lessen the blockiness problem of random cascades. The suggested approach was applied to analyze some long‐term precipitation statistics in the metropolitan area of Mexico City. The model result agrees closely with the temporal statistics of the selected precipitation products and reflects complex orographic constraints. The proposed downscaling approach becomes an alternative to expensive computational methods and allows urban hydrology applications and analysis of small watersheds to incorporate the effects of complex orography. Plain Language Summary: The Topographic Random Cascade approach is a data‐driven model that may describe the main elements of the space‐time structure of precipitation. This approach also includes a first subcomponent that explains how precipitation changes with the topographic altitude of the terrain and another that smooths the original simulated field and prevents some known technical problems derived from the application of random cascade techniques. In this study, the Topographic Random Cascade approach was applied to describe precipitation in the metropolitan area of Mexico City and surrounding areas; it was also used to improve the spatial resolution of 2‐dimensional precipitation products from IMERG and CHIRPS. In the studied region, where complex orography is present, the influence of terrain on precipitation was considered and an adaptation of a fractal‐based precipitation model was needed to generate a realistic version of precipitation fields at smaller scales than those found in large‐scale precipitation data. The results obtained from this approach highlight the ability to preserve long‐term statistics and represent the overall spatial composition of the orographic precipitation. Based on the achievements of the Topographic Random Cascade approach, its usage can be extended to hydrological and meteorological applications by scientists and practitioners. Key Points: An innovative random cascade approach was used to downscale coarse‐scale precipitation products in a highly complex topographic areaSimulated precipitation fields preserve the overall structure of spatial geometry and the long‐term statistics of the precipitation productsA generalized topographic precipitation enhancement function allows for a better description of the altitudinal variability of precipitation [ABSTRACT FROM AUTHOR]
- Published
- 2024
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