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A kriging and entropy-based approach to raingauge network design
Pengcheng Xu1, Dong Wang1, Vijay P Singh2
1Key Laboratory of Surficial Geochemistry, Ministry of Education, Department of Hydrosciences, School of Earth Sciences and Engineering, State Key Laboratory of Pollution Control and Resource Reuse, Nanjing University, Nanjing, PR China.
Optimizing rain gauge networks using kriging and entropy theory improves precipitation estimates. This approach balances accuracy with cost-effectiveness for better water resource management.
Area of Science:
- Hydrology
- Water Resource Management
- Geostatistics
Background:
- Accurate precipitation data is crucial for water resource projects and hydrologic research.
- Optimal raingauge networks enhance precipitation estimation accuracy but increase costs.
- Previous methods often focused solely on increasing gauge density.
Purpose of the Study:
- To develop an optimized raingauge network design for Shanghai using kriging and entropy theory.
- To integrate minimum kriging standard error (KSE) and maximum net information (NI) for optimal network selection.
- To establish an NI-KSE-based criterion for single-objective optimization.
Main Methods:
- Utilized kriging interpolation to estimate rainfall at ungauged locations.
- Incorporated entropy theory to quantify information content and estimation uncertainty.
- Applied a novel NI-KSE criterion for optimal raingauge network design.
- Evaluated the optimal network by comparing areal average rainfall accuracy with the existing network.
Main Results:
- The proposed approach identified an optimal raingauge network configuration.
- The optimized network demonstrated reduced kriging standard error for precipitation estimates.
- Achieved a balance between network density, estimation accuracy, and information content.
- Validated the effectiveness of the NI-KSE criterion in network design.
Conclusions:
- The kriging and entropy theory-based approach provides an effective method for optimal raingauge network design.
- This method enhances the accuracy of precipitation estimates while potentially reducing costs.
- The NI-KSE criterion offers a robust tool for optimizing hydrological monitoring networks.
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