Journal article
A diagnostic study of spectral multiscaling on spatio-temporal accumulations of rainfall fields based on radar measurements over Iowa
Advances in water resources, Vol.74, pp.258-278
12/2014
DOI: 10.1016/j.advwatres.2014.10.001
Abstract
•Spectral multiscaling claims scaling of spectral distributions of spatial averages.•We analyzed large data sets of radar-rainfall accumulations in Iowa.•Spectral multiscaling of Iowa rainfall is statistically evident across spatial scales.
Spectral multiscaling postulates a power-law type of scaling of spectral distribution functions of stationary processes of spatial averages or their temporal accumulations, over nested and geometrically similar sub-regions of the spatial parameter space of a given spatio-temporal random field. Presently, the validity of this property is investigated using time series of spatio-temporal accumulations of rain rate fields measured by a network of Doppler radars covering the region of Iowa. Statistical evidence of spectral multiscaling is gathered and discussed through a systematic study of appropriate regression diagnostics, using two records of data. One is a 120-month record of hourly (60-min) accumulations of spatially averaged rain rate on square pixels of side length 4km, comprising a rectangular grid of dimension 80×160 covering almost the entire State of Iowa. The other is a 74-month record of quarterly (15-min) accumulations of spatially averaged rain rate on square pixels of side length 1km, comprising a rectangular grid of dimension 68×106 over the Cedar River basin in eastern Iowa. The diagnostic results indicate frequency-dependent scaling relationships interpreted as evidence of spectral multiscaling across a range of spatial scales.
Details
- Title: Subtitle
- A diagnostic study of spectral multiscaling on spatio-temporal accumulations of rainfall fields based on radar measurements over Iowa
- Creators
- Harry Pavlopoulos - Department of Statistics, Athens University of Economics and Business, 76 Patission Str., GR-10434 Athens, GreeceWitold Krajewski - IIHR – Hydroscience & Engineering, 100 C. Maxwell Stanley Hydraulics Laboratory, The University of Iowa, Iowa City, IA 52242-1585, USA
- Resource Type
- Journal article
- Publication Details
- Advances in water resources, Vol.74, pp.258-278
- Publisher
- Elsevier Ltd
- DOI
- 10.1016/j.advwatres.2014.10.001
- ISSN
- 0309-1708
- eISSN
- 1872-9657
- Language
- English
- Date published
- 12/2014
- Academic Unit
- Civil and Environmental Engineering
- Record Identifier
- 9983992045402771
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