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Spatiotemporal adaptation of CTRW and BSAR frameworks

Adapt the Coupled Continuous Time Random Walk (CTRW) and the Bayesian Spectral Analysis Regression (BSAR) with isotonic Gaussian Process frameworks to spatiotemporal models using spatial Gaussian Processes or Bayesian hierarchical structures to enable nuanced, region-specific climate assessments across India.

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Background

The analysis focuses on nationally aggregated annual maximum temperatures, which limits regionally specific inference. The authors emphasize that spatiotemporal modeling could capture spatial heterogeneity and provide more granular assessments.

They mark this extension as an open direction, suggesting spatial Gaussian Processes or hierarchical Bayesian models for region-specific climate analysis.

References

Several avenues remain open for further exploration. Third, adapting the frameworks to a spatiotemporal setting, for example, using spatial Gaussian Processes or Bayesian hierarchical models could enable more nuanced, region-specific climate assessments (Banerjee et al., 2014).

Bayesian Modeling of Long-Term Dynamics in Indian Temperature Extremes (2507.01540 - Chakraborty, 2 Jul 2025) in Section 5 (Conclusion)