# Qom--A New Hydroologic Prediction Model Enhanced with Multi-Objective Optimization
## 5 Experimentation
### Problem Instances  
Next we describe the river basin problems, including information about the datasets (a description of the main features of the river basins is included in Appendix A):  
1. Asua river basin, Bizkaia, Spain (73.44 km\({}^{2}\), \(\Delta_{t}\) = 24 h). The time period of registered data comprises from 6 June 2005 to 30 September 2009 and required the split in 4 different series due to the discontinuity of these data. Therefore, one of these subsets was used for model calibration, while the other three were employed for validation as independent test sets. These validation data sum up 2462 registries and they are annotated as continuous samples with time slot \(\Delta_{t}\) = 24 h.
2. Artibai river basin, Bizkaia, Spain (94.5 km\({}^{2}\), \(\Delta_{t}\) = 10 min). For this basin, the data registered comprise a time period from 17 June 2002 to 8 January 2004. Similarly to the previous instance, the whole dataset was split into 4 series of discontinuous data, one of them for calibration and the other three for validation, summing up 2462 continuous samples, although with time slot \(\Delta_{t}\) = 10 min. 3. San Antonio river sub-basin, station Loop 410, Texas, USA (323.7 km\({}^{2}\), \(\Delta_{t}\) = 15 min). Prior dry periods and two continuous events that generated two crescent peaks were used for calibration, with 500 records corresponding to a total of 94,538 records that included two data series for validation. The time period for calibration data was from 15 November 2010 to 18 November 2010, with \(\Delta_{t}\) = 15 min, while the two validation periods comprised data from 17 November 2009 to 26 July 2012 and from 4 June 2013 to 24 March 2016, both with \(\Delta_{t}\) = 15 min. 4. San Antonio river basin, station Goliad, Texas, USA (10,000 km\({}^{2}\), \(\Delta_{t}\) = 24 h). In this instance, hydrometric data are registered with \(\Delta_{t}\) = 24 h. Each test corresponds to a single event, comprising the most severe storms that developed in the region to the date considered in the study. 5. Juquia river basin, station 4F-018R, Sao Pablo, Brazil (4.360 km\({}^{2}\), \(\Delta_{t}\) = 15 min). Due to the temporary discontinuity of the data and the time difference between series of records, this sub-basin dataset was split into four parts, two for periods with \(\Delta_{t}\) = 1 h and other two for periods with \(\Delta_{t}\) = 15 min. It is worth noting that calibration was made including several hard events with different time scales of 1 h and 15 min, although keeping a single set of the same parameters. 6. Upper Bermejo river basin, station Balapuca, Argentina-Bolivia (4398.8 km\({}^{2}\), \(\Delta_{\rm f}\) = 24 h). For calibration, a period of several events was used between 2 December 1971 and 1 January 1972 comprising 412 days. For validation, one of the longest continuous series was used in this study, with dates from 2 January1972 to 1 September 2015 including 15,766 records. Accumulating a total precipitated volume of 56,902 mm. The data of two first instances (1 and 2) were obtained from the _Bizkaiko Foru Aldundia_, _Diputacion Foral de Bizkaia_ (BFA-DFB) through the website of this regional Spanish organism ([[http://web.bizkaia.net](http://web.bizkaia.net)]([http://web.bizkaia.net](http://web.bizkaia.net))). The morphometric features were obtained from Reference [36]. Problem instances 3 and 4 from Texas State (USA) correspond to drainage areas at Loop 410 station (sub basin ID 08178565) and Goliad station (sub basin ID 08188500) and morphometric features from Reference [37]. Meteorologic data used for these two instances were taken from the _United States Geological Survey_ (USGS) ([[http://nwis.wuerdata.usgs.gov/nwis](http://nwis.wuerdata.usgs.gov/nwis)]([http://nwis.wuerdata.usgs.gov/nwis](http://nwis.wuerdata.usgs.gov/nwis))).