Inexact Copula-Based Stochastic Programming Method for Water Resources Management under Multiple Uncertainties
Bibliographic record
Abstract
Extensive uncertainties exist in many resources and environmental management problems, which can be interrelated and thus amplify the complexity and nonlinearity of study systems. The interactions from dependent random variables pose significant impacts on the potential management strategies. In this study, an inexact copula-based stochastic programming (ICSP) method was developed to deal with interactive uncertainties with interval and stochastic characteristics as well as to address nonlinear dependence among multiple random variables. Specifically, the impacts of their interactions among random variables were revealed based on the concept of copula. ICSP can also reflect the risk of violating system constraints with linear and nonlinear dependences. The developed ICSP method was then applied to planning water resources management problems; results (i.e., system benefit, economic penalty, water allocation, and flood diversion) under a variety of risk levels have been generated. Results are useful for generating desired strategies for water allocation and flood diversion under various individual and joint probabilities. Compared with the conventional joint-probabilistic chance-constrained programming (JCCP) approach, ICSP can better reveal multiple uncertainties and their interrelationships under nonlinear conditions and generate more robust solutions.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".