Microwave link dual-wavelength measurements of path-average attenuation for the estimation of drop size distributions and rainfall

Rincon, Rafael; Lang, Roger H.

doi:10.1109/tgrs.2002.1006324

Cited by 61 publications

(40 citation statements)

References 33 publications

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“…7 show that the effect of the combination of nonlinear R-Dk relations and the spatial variability of R is indeed greatest for link (b) (both in terms of MBE and RMSE), but that the order of magnitude of the effect of scatter around the R-Dk relation due to DSD shape variability is much greater. As stated in section 3, it should be noted here that Rincon and Lang (2002) did not retrieve R from Dk. Hence, the large…”

Section: Errors and Uncertainties Related To Variations In Dsdsmentioning

confidence: 87%

“…Table 1]. The difference in errors between link (b) (Rincon and Lang 2002) and the other dual-frequency links found in the literature is striking, especially regarding the RMSE. The fact that a link with these settings performs much worse than the others can be explained by the fact that the exponents of the power-law retrieval relations for this link deviate much more from 1 than the others (see Table 1).…”

Section: Errors and Uncertainties Related To Variations In Dsdsmentioning

confidence: 93%

“…These values are also given for some single-frequency links found in the literature. It should be noted that Rincon and Lang (2002) did not use Dk to retrieve R, but they instead used both signals to derive two DSD parameters, from which the pathaveraged rainfall intensity can then be computed. The profiles of DSDs generated using the method described in section 3b are used to compute path-averaged specific attenuation (k) and rainfall intensity R using Eqs.…”

Section: B Profiles Of Dsdsmentioning

confidence: 99%

“…Microwave links have been shown to be highly suitable for estimating path-averaged rainfall intensity (Ruf et al 1996;Rincon and Lang 2002;Holt et al 2003;Rahimi et al 2003Rahimi et al , 2004Minda and Nakamura 2005;Krä mer et al 2005;Upton et al 2005;Grum et al 2005;Messer et al 2006;Leijnse et al 2007a,b). This is due to the near linearity of the relationship between the variable measured by the link (the path-integrated attenuation) and the rainfall intensity at link frequencies around 35 GHz.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Errors and Uncertainties in Microwave Link Rainfall Estimation Explored Using Drop Size Measurements and High-Resolution Radar Data

Leijnse

Uijlenhoet

Berne

2010

Journal of Hydrometeorology

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Microwave links can be used for the estimation of path-averaged rainfall by using either the path-integrated attenuation or the difference in attenuation of two signals with different frequencies and/or polarizations. Link signals have been simulated using measured time series of raindrop size distributions (DSDs) over a period of nearly 2 yr, in combination with wind velocity data and Taylor's hypothesis. For this purpose, Taylor's hypothesis has been tested using more than 1.5 yr of high-resolution radar data. In terms of correlation between spatial and temporal profiles of rainfall intensities, the validity of Taylor's hypothesis quickly decreases with distance. However, in terms of error statistics, the hypothesis is seen to hold up to distances of at least 10 km. Errors and uncertainties (mean bias error and root-mean-square error, respectively) in microwave link rainfall estimates due to spatial DSD variation are at a minimum at frequencies (and frequency combinations) where the power-law relation for the conversion to rainfall intensity is close to linear. Errors generally increase with link length, whereas uncertainties decrease because of the decrease of scatter about the retrieval relations because of averaging of spatially variable DSDs for longer links. The exponent of power-law rainfall retrieval relations can explain a large part of the variation in both bias and uncertainty, which means that the order of magnitude of these error statistics can be predicted from the value of this exponent, regardless of the link length.

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Section: Errors and Uncertainties Related To Variations In Dsdsmentioning

confidence: 87%

Section: Errors and Uncertainties Related To Variations In Dsdsmentioning

confidence: 93%

Section: B Profiles Of Dsdsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Errors and Uncertainties in Microwave Link Rainfall Estimation Explored Using Drop Size Measurements and High-Resolution Radar Data

Leijnse

Uijlenhoet

Berne

2010

Journal of Hydrometeorology

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show abstract

“…Rincon and Lang (2002) proposed a method to estimate the drop size distribution from the measurements of a dedicated 2.3 km, dual-frequency research link and validated their results using 6 rain gauges and a single 2D video disdrometer placed along the path of the link. Rahimi et al (2003) used a 23.3 km, dual-frequency research link with 22 rain gauges and radar data.…”

Section: Originalitymentioning

confidence: 99%

Using Markov switching models to infer dry and rainy periods from telecommunication microwave link signals

et al. 2012

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Abstract.A Markov switching algorithm is introduced to classify attenuation measurements from telecommunication microwave links into dry and rainy periods. It is based on a simple state-space model and has the advantage of not relying on empirically estimated threshold parameters. The algorithm is applied to data collected using a new and original experimental set-up in the vicinity of Zürich, Switzerland. The false dry and false rain detection rates of the algorithm are evaluated and compared to 3 other algorithms from the literature. The results show that, on average, the Markov switching model outperforms the other algorithms. It is also shown that the classification performance can be further improved if redundant information from multiple channels is used.

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On the reliability of gamma distributed dsds for modelling kinetic energy of rainfall*

Mineo

Ridolfi

Moccia

et al. 2020

Irrigation and Drainage

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To retrieve the gamma drop size distribution (DSD) parameters from observed drop spectra, the most common approach is the method of moments (MM). However, the goodness of this method is still disputed. To assess its reliability, the aims of this paper are: (i) estimation of empirical values of rainfall rate (I) and kinetic energy (KE) from DSD measurements collected by a laser-optical disdrometer; (ii) estimation of gamma DSD parameters by MM and another widespread method, i.e. maximum likelihood (ML); (iii) evaluation of theoretical values of rainfall rate and KE and comparison between these values and measured ones. The novelty of this work is the assessment of both MM and ML using the rainfall intensity measured by the disdrometer as a benchmark, rather than the KE or a statistical test as done in common practice. The assessment of the goodness of the estimates was performed on variables most investigated in soil erosion studies (i.e. I and KE). Results show that smaller error values are associated with ML and that MM does not provide reliable estimations of I. On the other hand, both methods substantially underestimate KE with increasing rainfall intensity.

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Microwave link dual-wavelength measurements of path-average attenuation for the estimation of drop size distributions and rainfall

Cited by 61 publications

References 33 publications

Errors and Uncertainties in Microwave Link Rainfall Estimation Explored Using Drop Size Measurements and High-Resolution Radar Data

Errors and Uncertainties in Microwave Link Rainfall Estimation Explored Using Drop Size Measurements and High-Resolution Radar Data

Using Markov switching models to infer dry and rainy periods from telecommunication microwave link signals

On the reliability of gamma distributed dsds for modelling kinetic energy of rainfall*

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