A diagnostic study of spectral multiscaling on spatio-temporal accumulations of rainfall fields based on radar measurements over Iowa
•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 scalin...
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Veröffentlicht in: | Advances in water resources 2014-12, Vol.74, p.258-278 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | •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. |
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ISSN: | 0309-1708 1872-9657 |
DOI: | 10.1016/j.advwatres.2014.10.001 |