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Identification of dry and rainy periods using telecommunication ...

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12 nd International Conference on Urban Drainage, Porto Alegre/Brazil, 10-15 September 2011<br />

Dry Wet<br />

Figure 7 Class errors for two categories Dry <strong>and</strong> Wet. For the R<strong>and</strong>om Forest, the two Wet classes were<br />

merged to one.<br />

DISCUSSION<br />

In general, our results indicate that all algorithms are able to successfully identify <strong>dry</strong> <strong>and</strong> wet <strong>periods</strong><br />

based on MWL signals. In Figure 7 we compare the online algorithms S1a, S1b <strong>and</strong> S2 to RF4, which is<br />

based on similar attributes. For the factor graphs, only an <strong>of</strong>fline algorithm was available. We found that<br />

the quantization had a great influence <strong>and</strong> therefore provide separate bars for the MWL with fine (bold)<br />

<strong>and</strong> coarse (shaded) quantization (Figure 7). In general, it can be seen that S2 shows smaller type II errors<br />

than S1a or S1b <strong>and</strong> out <strong>of</strong> the type II errors, less correspond to heavy rains (<br />

Figure 5, right). However, we also notice that the cost <strong>of</strong> fewer type II errors lies in higher<br />

misclassification rates for <strong>dry</strong> <strong>periods</strong>. Based on our results, we find that the choice <strong>of</strong> one<br />

specific algorithm strongly depends on the user’s preferences <strong>and</strong> the available resources.<br />

First, the absolute performance can be adjusted according to the user’s preference by varying<br />

the respective tuning parameters. For the original (S1) <strong>and</strong> extended (S2) moving window<br />

algorithms, the fraction <strong>of</strong> wet <strong>periods</strong> is a physically-based parameter <strong>and</strong> should therefore<br />

not necessarily be changed. For the r<strong>and</strong>om forests, the composition <strong>of</strong> the training set <strong>and</strong><br />

the weights assigned to each class can be can be tuned. For the Factor graph, the threshold<br />

parameter could be further adjusted to lower the misclassification rate for the wet classes,<br />

which would automatically lead to an increased D misclassification. Second, such parameters<br />

could be optimized by introducing a cost or preference function. Ideally, this should be defined<br />

by the user <strong>of</strong> the algorithms <strong>and</strong> will be different for online <strong>and</strong> <strong>of</strong>fline algorithms as<br />

the user is probably interested in different kind <strong>of</strong> rainfall data (e.g., real-time information to<br />

control waster water infrastructure vs. generated time series for the dimensioning <strong>of</strong> waste<br />

water infrastructure). This should also consider the absolute deviation from observed rainfall<br />

volumes.<br />

CONCLUSIONS<br />

In this study, our goal was to develop an appropriate <strong>of</strong>fline <strong>and</strong> online algorithm for the preprocessing<br />

<strong>of</strong> MWL data to support urban drainage applications. We compared novel algorithms<br />

based on moving windows, r<strong>and</strong>om forests <strong>and</strong> factor graphs, which is a rather novel<br />

technique from signal processing to those reported in literature. Our results show that an appropriate<br />

online <strong>and</strong> <strong>of</strong>fline algorithm strongly depends on the quantization <strong>and</strong> temporal<br />

resolution <strong>of</strong> the MWL data, which greatly depends on the deployed instruments. With regard<br />

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