Probable Maximum Precipitation Estimation Using Multifractals: Application in the Eastern United States

Douglas, Ellen; Barros, A. P.

doi:10.1175/1525-7541(2003)004<1012:pmpeum>2.0.co;2

Cited by 89 publications

(80 citation statements)

References 34 publications

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“…2). As reported by Douglas and Barros (2003), the most common range values of q D extend between a little less than 2 and slightly more than 3. Other studies have found values of q D between 1.7 and 5 (Fraedrich and Larnder 1993;Labat et al 2002).…”

Section: Multifractal Analysis Of the Rainfall Datasupporting

confidence: 54%

Multifractal analysis of the rainfall time distribution on the metropolitan area of Barcelona (Spain)

Rodríguez

Casas

Redaño

2013

Meteorol Atmos Phys

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In most of the studies on scale properties in the rainfall process, multifractal behavior has been investigated without taking into account the different rain generation mechanisms involved. However, it is known that rain processes are related to certain scales, determined by climatological characteristics as well as regional and local meteorological features. One of the implications derived from these correspondences is the possibility that the multifractal parameters of the rainfall could depend on the dominant precipitation generation mechanism. Fractal analysis techniques have been applied in this work to rainfall data recorded in the metropolitan area of Barcelona in the period 1994-2001, as well as to a selection of synoptic rainfall events registered in the same city in the period 1927-1992. The multifractal parameters obtained have been significantly different in each case probably showing the influence of the rain generation mechanisms involved. This influence has been revealed also in the analysis of the effects of seasonality on the multifractal behavior of rainfall in Barcelona.

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Section: Multifractal Analysis Of the Rainfall Datasupporting

confidence: 54%

Multifractal analysis of the rainfall time distribution on the metropolitan area of Barcelona (Spain)

Rodríguez

Casas

Redaño

2013

Meteorol Atmos Phys

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“…Mandelbrot, 1977Mandelbrot, , 1982) deals with simple scaling, which means that such behaviour is determined by one parameter, called fractal dimension (e.g. Mandelbrot, 1977Mandelbrot, , 1982Feder, 1988;Falconer, 1990;Hastings and Sugihara, 1993). In defining (fractal) dimension the idea of measurement at scale δ is fundamental.…”

Section: Some Aspects Of Scaling Theoriesmentioning

confidence: 99%

“…This parameter can be obtained by the box-counting method (see e.g. Feder, 1988;Falconer, 1990;Hastings and Sugihara, 1993). In practical applications of this method, the D-dimensional space of the observations is covered with gradually-decreasing (it is common that the size is decreased gradually by a factor of 2), non-overlapping boxes of side δ.…”

Section: Some Aspects Of Scaling Theoriesmentioning

confidence: 99%

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Investigating the multifractality of point precipitation in the Madeira archipelago

Lima

2009

Nonlin. Processes Geophys.

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Abstract. The purpose of this work is to contribute to a better understanding of the variability of precipitation in the Madeira archipelago. This archipelago is located in the Atlantic subtropical belt under the direct influence of the Azores high pressure system. It is formed by Madeira Island (728 km 2 ) and Porto Santo Island (42 km 2 ) and by two other groups of very small inhabited islands. The complex topography of the islands in the Madeira archipelago and their small size play a crucial role in the local precipitation regime, which is marked by high spatial variability.This paper explores the invariance of properties manifested across scales and determines the fractal and multifractal behaviour observed in the temporal structure of precipitation using daily and 10-min time series from several locations scattered over the main islands. The period covered by the precipitation records is 34 years for the daily data and almost 4 months for the 10-min data. The results show that the temporal structure of precipitation in the Madeira Archipelago exhibits scale-invariant and multifractal properties. The empirical exponent functions describing the scaling statistical properties of the precipitation intensity were characterized using multifractal parameters; these parameters are increasing our awareness of the dynamics of this process in these islands.

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“…Extreme precipitation events have been increasing since the late 20th century in the mid-latitude and high-latitude land Atmospheric Research 157 (2015) 137-152 precipitation events have received worldwide attention due to their large-scale impacts (Alexander et al, 2006;Boccolari and Malmusi, 2013;Déqué, 2007;Douglas and Barros, 2003;Easterling et al, 2000;Fu et al, 2010;Fu et al, 2013;Goswami et al, 2006;Schmidli and Frei, 2005).…”

Section: Introductionmentioning

confidence: 99%

Recent changes in extreme precipitation and drought over the Songhua River Basin, China, during 1960–2013

Song

Sun

et al. 2015

Atmospheric Research

159

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Based on ten indices of extreme precipitation and one drought index (composite index, CI), the trends in extreme events were investigated using a Mann-Kendall non-parametric method at 39 stations in the Songhua River Basin (SHB) during 1960-2013. The regionally averaged wet-day precipitation (PRCPTOT) increased at a rate of 1.65 mm/year (R 2 = 0.28, P = 0.13), in which 82% of the stations experienced increases, but only 4 stations showed significant positive trends. The annual R95 and R99 exhibited slight upward trends at rates of 1.37 (R 2 = 0.21, P = 0.27) and 1.28 mm/year (R 2 = 0.23, P = 0.23) over the last 54 years; however, there were not significant trends in R95 and R99 at the 0.05 level. PRCPTOT, R95 and R99 showed similar spatial trends, in which positive trends mainly occurred in the northern and southeastern basins. The trends in the maximum 1-day precipitation (RX1day) and maximum 5-day precipitation (RX5day) do not show a prevalent trend (approximately 50% of the stations have a positive trend and the remaining stations have a negative trend). The simple daily intensity index (SDII) significantly decreased at an annual rate of 0.02 mm/d during 1960-2013 (R 2 = 0.66, P b 0.01); spatially, 49% of the stations experienced statistically significant decreases at the 0.05 level based on the Mann-Kendall non-parametric test. The regionally averaged heavy (R10mm) and very heavy precipitation days (R20mm) and consecutive wet days (CWD) showed no significant trends during the past 54 years; however, several individual extreme precipitation events, such as the flood of 1998 in the SHB, were well detected by these indices. The regionally averaged consecutive dry days (CDD) significantly increased (R 2 = 0.79, P b 0.01) at a rate of 0.22 days/year from 1960 to 2013. All of the stations exhibited statistically significant increases in CDD, excluding the Tongyu station in the western basin. The monthly RX5day values were highest in summer, from June to August, in the SHB; a peak occurred in July (67.5 mm) in the SHB during 1960-2013. The CI peaked in July, with the highest value of 0.2 in the SHB during 1960-2013. However, the two lowest CI values occurred in spring and fall, with values of −0.56 and −0.41, respectively. During April and May, when most of the spring drought events occur, a prevalent trend does not exist; moreover, almost no stations have statistically significant CI increases. In August and September, respectively 79% and 97% of the stations exhibited a CI negative trend, but only 2 and 6 stations showed significant decreases at the 0.05 level. The increasing extreme climate events present a challenge for local water resources management.

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Probable Maximum Precipitation Estimation Using Multifractals: Application in the Eastern United States

Cited by 89 publications

References 34 publications

Multifractal analysis of the rainfall time distribution on the metropolitan area of Barcelona (Spain)

Multifractal analysis of the rainfall time distribution on the metropolitan area of Barcelona (Spain)

Investigating the multifractality of point precipitation in the Madeira archipelago

Recent changes in extreme precipitation and drought over the Songhua River Basin, China, during 1960–2013

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