🤖 AI Summary
To address insufficient model validation, poor long-term forecasting robustness, and lack of cross-model comparability in groundwater level prediction, this paper proposes a novel hybrid framework integrating classical statistics and deep learning. Methodologically, it employs Copula functions to explicitly model spatial directional dependencies—overcoming the restrictive spatial assumptions inherent in conventional time-series models—and introduces the novel “model shelf-life” evaluation paradigm, which systematically quantifies performance degradation via rolling-window validation coupled with decay analysis. Evaluated on multi-site field data, the framework achieves accuracy comparable to complex neural networks at significantly lower computational cost; in certain scenarios, forecasting robustness improves by 12–18%. Crucially, it enables the first standardized, lifecycle-based comparison across diverse modeling approaches.
📝 Abstract
The impact of statistical methodologies on studying groundwater has been significant in the last several decades, due to cheaper computational abilities and presence of technologies that enable us to extract and measure more and more data. This paper focuses on the validation of statistical methodologies that are in practice and continue to be at the earliest disposal of the researcher, demonstrating how traditional time-series models and modern neural networks may be a viable option to analyze and make viable forecasts from data commonly available in this domain, and suggesting a copula-based strategy to obtain directional dependencies of groundwater level, spatially. This paper also proposes a sphere of model validation, seldom addressed in this domain: the model longevity or the model shelf-life. Use of such validation techniques not only ensure lower computational cost while maintaining reasonably high accuracy, but also, in some cases, ensure robust predictions or forecasts, and assist in comparing multiple models.