This report presents the process of building and implementing of the hydrological model based on the GR6J rainfall-runoff model within Google Colab. The main aim of the study was to model the flow of a particular catchment; more precisely, the various methods of calibration, validation, and optimization were to be explored. For this purpose, its performance was tested on the basis of observed hydrological data with the help of performance indicators like KGE and NSE. It explains the process of Data preprocessing, Model construction, parameters Calibration, Validation and eventually the setting off the most appropriate parameters for stream flow simulation. The results show that the calibrated GR6J model has a good ability to simulate the runoff process of the catchment and that the model calibration and validation are crucial issues for the hydrological models.
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This paper is based on the catchment area 69002 from CAMELS-GB database, which is in the River Thames basin, southern England. It has an area of 237 km² and is described by the temperate maritime climate in which rainfall is fairly distributed all the year round. That is obtained from the evaluation of the CAMELS-GB supplementary files where it is evident that the catchment mainly comprises of rural land cover with arable land, grasslands, as well as woodlands (Coxon et al. 2020). It is relatively flat and low plateau area without sharp slopes and steep terrains. The geology entails chalk and limestone in many areas, and therefore the ground has experienced good drainage and moderate permeability. These characteristics affect the hydrological behavior of the catchment with runoff processes probably being infiltration-excess operand flow during extraordinary storms besides saturation-excess operand flow in wet periods.
Day to day analysis leads to the conclusion that there is a great inter-annual and intra-annual variability in the hydrological data for the period of 1970-2015. Annu-Mean shows that streamflow or discharge of water bodies yearly has seasonal changes depending on the changes in rainfall and potential evapotranspiration. The monthly average discharges have a clear seasonal variation with high values in winter and low values in summer period. Analyzing the data of daily discharge, it is possible to identify the tendency of the long term mean annual flow is declining, but with fluctuations within the multi-year cycles. This might be due to natural and/or human induced climates changes and that changes in land use affects water resources in the region. Although the model is conceptual and lumped, the main form of runoff generation in this catchment would be saturation-excess overland flow because the catchment response is mainly governed by shallow water table and base flow contribution to stream flow is also significant.
If one would desire to have a full picture of the variability of the streamflow, then he or she could plot a flow duration curve. This type of graph in the form of the flow duration curve gives the proportion of time that a given flow rate is experienced through the record and thus the probabilities and intensities of high and low flows (Tena et al. 2019). That is, high flows would be represented by the low exceedence probability tail while the low flows are represented by high exceedence probability tail of the curve. Applying this analysis to the following observed streamflow within the record will give more detail on the flow regimes and allow for a quantitative evaluation.
The calibration and validation of the GR6J hydrological model involved several steps with the view of enhancing the model in order to simulate the stream flow process in the target catchment. The calibration process involved determining the best estimation of the model parameters that brought best approximations of the calculated and the observed stream-flow while the validation effectively tested the ability of the model in generalizing well on a different data set.
Calibration Strategy
For calibration, the period used was 2000-01-01 to 2001-12-31 to incorporate two hydrological year where there are wet as well as dry seasons in order to represent the catchment. First of all, a Monte Carlo simulation to scan the parameter space was carried out. This was achieved by selecting 150 values at random within defined ranges for the parameters and running GR6J model for all the selected values. Accuracy of the model was calculated by computing correlation error, bias, variability, KGE, and NSE. Specifically, these metrics allowed to focus on different aspects of hydrograph and to reveal the best choice regarding the parameters values.
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Optimization
Subsequently, another optimization was done where the scipy.optimize.minimize method as per Thomas Nelder and Mead’s simplex method was adopted. It adapts the parameter values step by step in the opposite direction to the gradient of the objective function, which was selected as 1 minus KGE for maximizing KGE. The search was also restricted for each of the parameters within hydrologically meaningful ranges by containing bounds. Parameter values were determined initially that contained prior information as well as those that came from the sensitivity analysis.
Thus, the chosen objective function is KGE that is a multifaceted measure including correlation, bias, and variability to assess the models. As it relates to the optimization process, the KGE maximization targeted for the equitableness of the observed hydrograph. This optimization step proved to be better than direct selection of random samples and this way, better parameter was selected which defined a higher level of model-fit.
Validation
In order to ensure the output of the catchment model was a good representation of the catchment response within the period of 2010-01-01 to 31 December 2011 which was not wholly used in calibration. The parameter set developed in calibration was then used for streamflow simulation in the validation period.
Performance Evaluation
Results obtained utilizing the above metrics such as KGE and NSE was also determined for the calibration as well as the validation period. And, the hydrograph was used to show the comparison of the simulated flow with the observed flow in the calibration as well as in the validation seasons.
Refinement of Calibration Approach
In this process, the features of calibration were improved by switching from the Monte Carlo simulation to the Nelder-Mead optimization. The identification of calibration periods was important because decision factors such as the period duration, hydro meteorological conditions, and outliers had to be taken into consideration.
Model Performance
These values came into even better KGE in the validation, and it suggested that the model has good ability to cross validation. From seeing the hydrographs of the model and the observed data, the model was able to get most of the peak flows and the recession curves almost perfectly.
Potential Causes of Remaining Differences
In every case of optimization, the simulated streamflow, therefore, was observed to slightly differ from the actual values due to various reasons. Imperfection of structure in the GR6J model such as, the genre of model being a lumped-parameter model, uncertainty in calibration data phenomenon, and errors in the data fed to the model may also make the predictions erroneous.
The use of climate change scenario analysis for simulating the future changes in climate and its effects on the streamflow in the target catchment were used. This included feeding into the calibrated GR6J hydrological model actualised climate data obtained from GCMs. Specifically the study was concerned with changes in streamflow and its confidence over time for the different ensemble members.
Methods
It is based on future climate simulations from an archive of GCMs provided for a certain emissions pathway (e.g., the RCP8.5). To this end, these projections were rescaled to the catchment level, and the hydrological model—GR6J was employed; it had been calibrated with historical data. Several numbers of runs were carried out and each was based on different GCM of the ensemble to replicate the uncertainty in climate prediction.
Hydrograph Summary Statistics and Methods
To assess changes in the magnitude of different characteristics of streamflow hydrograph, employment of summary statistics and methods of the hydrograph was done. These included:
Key Findings
It was observed that in the future climate changes, there was a significant alteration in stream flow. Mean annual streamflow was gradually decreasing and this raises concerns about the availability of water for use in future. The other water availability characteristics include changes in streamflow variability where there were indications of more frequent occurrences of both high and low flows. This indicates that there will be an increase in the intensity of floods as well as drought in the future.
Uncertainty Across Model Ensemble Members
Some aspects of the changes shown across the members of the different models used in this study displayed a significant level of uncertainty. Some GCMs anticipated larger changes in streamflow than others, suggesting that realistic possibilities have to be made with regards to the future water management.
Relevance to Water Management Agency
Thus, the results of this assessment are of the most concern to the water management agencies because. These changes in the villager’s identify aspects of streamflow and could indeed have unforeseen effects on the streamflow provoke changes in water resources planning and water resource management. This level of uncertainty gives rise to the necessity to develop a sustainable management plan that can apply in any of the anticipated future situations. Thus, it serves the purpose of helping water management agencies to make accurate predictions on the effects of climate change on the flow of water in the stream and ultimately the future management of the water resources in the catchment.
Recommendations and conclusions
This paper illustrated the use of the GR6J hydrological model on stream flow in the specified catchment. Calibration and validation proved quite satisfactory and the model was able to reproduce the observed streamflow trends. A focus on the future forecast of climate change described potential changes in the streamflow of water with less availability of water in general and with increased fluctuation. However, there are few recommendations which in fact, would improve its analytical capabilities and make it even more comprehensive.
Recommendations for Improvement
Reference List
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