Empirical Relations between Size Parameters of Ice Hydrometeor Populations and Radar Reflectivity
Abstract
Empirical power-law relations between the equivalent radar reflectivity factor Ze and the slope parameter of the gamma function Λ (i.e., Λ = cZ$$^{d}_{e}$$ used to describe ice hydrometeor size distributions) are derived. The Λ parameter can also be considered as a size parameter since it is proportional to the inverse of the hydrometeor characteristic size, which is an important geophysical parameter describing the entire distribution. Two datasets from two-dimensional microphysical probes, collected during aircraft flights in subtropical and midlatitude regions, were used to obtain Λ by fitting measured size distributions. Reflectivity for different radar frequencies was calculated from microphysical probe data by using nonspherical-particle models. The derived relations have exponent d values that are approximately from -0.35 to -0.40, and the prefactors c are approximately between 30 and 55 (Λ: cm-1; Ze: mm6 m-3). There is a tendency for d and c to decrease when radar frequency increases from Ku band (~14 GHz) to W band (~94 GHz). Correlation coefficients between Ze and Λ can be very high (~0.8), especially for lower frequencies. Such correlations are similar to those for empirical relations between reflectivity and ice water content (IWC), which are used in many modeling and remote sensing applications. Close correspondences of reflectivity to both Λ and IWC are due to a relatively high correlation between these two microphysical parameters. Finally, expected uncertainties in estimating Λ from reflectivity could be as high as a factor of 2, although estimates at lower radar frequencies are more robust. Stratifying retrievals by temperature could result in relatively modest improvement of Λ estimates.
- Authors:
-
- Univ. of Colorado, Boulder, CO (United States). Cooperative Inst. for Research in Environmental Sciences; National Oceanic and Atmospheric Administration (NOAA), Boulder, CO (United States). Earth System Research Lab.
- National Center for Atmospheric Research, Boulder, CO (United States)
- Publication Date:
- Research Org.:
- Univ. of Colorado, Boulder, CO (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Biological and Environmental Research (BER). Earth and Environmental Systems Science Division
- OSTI Identifier:
- 1536983
- Alternate Identifier(s):
- OSTI ID: 1673393
- Grant/Contract Number:
- SC0013306
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Applied Meteorology and Climatology
- Additional Journal Information:
- Journal Volume: 56; Journal Issue: 9; Journal ID: ISSN 1558-8424
- Publisher:
- American Meteorological Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 54 ENVIRONMENTAL SCIENCES; Meteorology & atmospheric sciences; clouds; precipitation; radars/radar observation
Citation Formats
Matrosov, Sergey Y., and Heymsfield, Andrew J. Empirical Relations between Size Parameters of Ice Hydrometeor Populations and Radar Reflectivity. United States: N. p., 2017.
Web. doi:10.1175/jamc-d-17-0076.1.
Matrosov, Sergey Y., & Heymsfield, Andrew J. Empirical Relations between Size Parameters of Ice Hydrometeor Populations and Radar Reflectivity. United States. https://doi.org/10.1175/jamc-d-17-0076.1
Matrosov, Sergey Y., and Heymsfield, Andrew J. Thu .
"Empirical Relations between Size Parameters of Ice Hydrometeor Populations and Radar Reflectivity". United States. https://doi.org/10.1175/jamc-d-17-0076.1. https://www.osti.gov/servlets/purl/1536983.
@article{osti_1536983,
title = {Empirical Relations between Size Parameters of Ice Hydrometeor Populations and Radar Reflectivity},
author = {Matrosov, Sergey Y. and Heymsfield, Andrew J.},
abstractNote = {Empirical power-law relations between the equivalent radar reflectivity factor Ze and the slope parameter of the gamma function Λ (i.e., Λ = cZ$^{d}_{e}$ used to describe ice hydrometeor size distributions) are derived. The Λ parameter can also be considered as a size parameter since it is proportional to the inverse of the hydrometeor characteristic size, which is an important geophysical parameter describing the entire distribution. Two datasets from two-dimensional microphysical probes, collected during aircraft flights in subtropical and midlatitude regions, were used to obtain Λ by fitting measured size distributions. Reflectivity for different radar frequencies was calculated from microphysical probe data by using nonspherical-particle models. The derived relations have exponent d values that are approximately from -0.35 to -0.40, and the prefactors c are approximately between 30 and 55 (Λ: cm-1; Ze: mm6 m-3). There is a tendency for d and c to decrease when radar frequency increases from Ku band (~14 GHz) to W band (~94 GHz). Correlation coefficients between Ze and Λ can be very high (~0.8), especially for lower frequencies. Such correlations are similar to those for empirical relations between reflectivity and ice water content (IWC), which are used in many modeling and remote sensing applications. Close correspondences of reflectivity to both Λ and IWC are due to a relatively high correlation between these two microphysical parameters. Finally, expected uncertainties in estimating Λ from reflectivity could be as high as a factor of 2, although estimates at lower radar frequencies are more robust. Stratifying retrievals by temperature could result in relatively modest improvement of Λ estimates.},
doi = {10.1175/jamc-d-17-0076.1},
journal = {Journal of Applied Meteorology and Climatology},
number = 9,
volume = 56,
place = {United States},
year = {Thu Aug 31 00:00:00 EDT 2017},
month = {Thu Aug 31 00:00:00 EDT 2017}
}
Web of Science
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Works referencing / citing this record:
Ice Hydrometeor Shape Estimations Using Polarimetric Operational and Research Radar Measurements
journal, January 2020
- Matrosov, Sergey Y.
- Atmosphere, Vol. 11, Issue 1