Preprint Article Version 3 Preserved in Portico This version is not peer-reviewed

A Practical Approach for Determining Multi-Dimensional Spatial Rainfall Scaling Relations Using High Resolution Time Height Doppler Data from a Single Mobile Vertical Pointing Radar

Version 1 : Received: 4 November 2022 / Approved: 7 November 2022 / Online: 7 November 2022 (12:52:00 CET)
Version 2 : Received: 16 December 2022 / Approved: 19 December 2022 / Online: 19 December 2022 (10:02:14 CET)
Version 3 : Received: 2 January 2023 / Approved: 4 January 2023 / Online: 4 January 2023 (12:25:56 CET)

How to cite: Jameson, A. A Practical Approach for Determining Multi-Dimensional Spatial Rainfall Scaling Relations Using High Resolution Time Height Doppler Data from a Single Mobile Vertical Pointing Radar. Preprints 2022, 2022110126. https://doi.org/10.20944/preprints202211.0126.v3 Jameson, A. A Practical Approach for Determining Multi-Dimensional Spatial Rainfall Scaling Relations Using High Resolution Time Height Doppler Data from a Single Mobile Vertical Pointing Radar. Preprints 2022, 2022110126. https://doi.org/10.20944/preprints202211.0126.v3

Abstract

Rescaling of rainfall requires measurements of rainfall rates over many dimensions. This paper develops one approach using 10 m vertical spatial observations of the Doppler spectra of falling rain every 10 seconds over intervals varying from 15 up to 41minutes in two different locations and in two different years using two different Micro-Rain Radars (MRR). The transformation of the temporal domain into spatial observations uses the Taylor ‘frozen’ turbulence hypothesis to estimate an average advection speed over an entire observation interval. Thus, when no other advection estimates are possible, this paper offers a new approach for estimating the appropriate frozen turbulence advection speed by minimizing power spectral differences between the ensemble of purely spatial radial power spectra observed at all times in the vertical and those using the ensemble of temporal spectra at all heights to yield statistically reliable scaling relations. Thus, it is likely that, MRR and other vertically pointing Doppler radars may often help to obviate the need for expensive and immobile large networks of instruments in order to determine such scaling relations, but not the need of those radars for surveillance.

Keywords

Time-height rainfall rate profiles from MRR radars; Advection correction for conversion to height-distance profiles, Computing radial power spectra using height-distance profiles; Using derived radial power spectra for downscaling and upscaling

Subject

Environmental and Earth Sciences, Atmospheric Science and Meteorology

Comments (1)

Comment 1
Received: 4 January 2023
Commenter: Arthur Jameson
Commenter's Conflict of Interests: Author
Comment: See manuscript for indicated changs
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