Developing a dual entropy-transinformation criterion for hydrometric network optimization based on information theory
Heshu Li1, 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.
Environmental Research
|October 19, 2019
Summary
A new dual entropy-transinformation criterion (DETC) effectively optimizes hydrometric networks by prioritizing significant stations. This method enhances water resource management by balancing information content and redundancy in monitoring networks.
Area of Science:
- Hydrology and Water Resource Management
- Information Theory in Environmental Science
- Geospatial Data Analysis
Background:
- Effective water resource management relies on robust hydrometric monitoring networks.
- Entropy-based methods and copula functions are advancing hydrometric network evaluation and optimization.
- Existing criteria may not fully capture station significance or allow for flexible preference weighting.
Purpose of the Study:
- To develop and validate a novel dual entropy-transinformation criterion (DETC) for hydrometric network optimization.
- To identify and prioritize significant monitoring stations within a network.
- To generate optimized network solutions incorporating user-defined preferences.
Main Methods:
- Developed DETC integrating entropy and transinformation indices with a tradeoff weight.
- Utilized copula functions (Gumbel, Frank, Clayton) for modeling multivariate hydrological data.
- Applied DETC to streamflow and rainfall networks across diverse geographical and climatic conditions.
- Compared DETC performance against Dual Entropy-Multi-objective Optimization (DEMO) and Minimum Transinformation (MinT) criteria.
Main Results:
- DETC effectively prioritizes stations based on their informational significance.
- The criterion successfully incorporates decision preferences regarding information content and redundancy.
- Application to real-world networks demonstrated DETC's capability in optimizing station selection.
- DETC showed an advantage in accurately restoring spatial precipitation distribution compared to MinT.
Conclusions:
- DETC offers a robust and flexible approach for optimizing hydrometric monitoring networks.
- The method enhances the efficiency and effectiveness of water resource management strategies.
- DETC provides a valuable tool for prioritizing data collection and network design in hydrology.
More Related Videos
Related Concept Videos
01:17Design Example: Analyzing Capacity Contours for Flood Risk Assessment
267
Flood risk assessment involves careful planning and analysis to ensure the safety of communities near water retention structures. Capacity contours are a vital tool in this process, as they illustrate the potential spread of water at specific levels in a given area. In the context of building a bund across a small valley, these contours play a critical role in evaluating the safety of nearby residential areas.In this example, the bund is intended to store stormwater in the valley. The engineers...
267
01:19Routh-Hurwitz Criterion II
875
In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
875
01:15Routh-Hurwitz Criterion I
494
Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
494
01:20Entropy and the Second Law of Thermodynamics
4.7K
The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
4.7K
01:12Modeling and Similitude
567
Scaled modeling is a fundamental technique in engineering, enabling the study of large and complex systems by creating smaller, manageable replicas that recreate critical characteristics of the original. In hydrology and civil infrastructure, for example, scaled models of dams help analyze water flow, turbulence, and pressure. This method allows for accurate predictions of real-world behavior within a controlled environment, significantly reducing the cost and time involved in full-scale...
567
01:10Entropy Change in Reversible Processes
3.1K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
3.1K