Published October 24, 2026 | Version v1

Graph-topology-aware conformal prediction for cross-border flood nowcasts under gauge-network reconfiguration: a climate-analytics evaluation of coverage-loss spillover to downstream warning services

  • 1. National University of Equatorial Guinea (UNGE)

Description

Conformal prediction provides distribution-free coverage guarantees for flood nowcasts, but its exchangeability assumption is violated when gauge networks are reconfigured across borders. The framework is formalised through graph Laplacian eigenmodes, a topology-conditioned nonconformity score, and a proposition establishing that spillover is bounded by the spectral gap of the reconfiguration operator. A climate-analytics evaluation is designed around a Lagos, Nigeria case study using NASA POWER monthly reanalysis air temperature at 2 m for 2000-2023 (312 monthly observations; mean 26.414 C; standard deviation 0.943 C; warming trend 0.1553 C per decade), which serves as a proxy for the hydroclimatic forcing that drives gauge-network stress. The analysis is methodological and theoretical: no empirical coverage experiment is reported. The contribution is a formal characterisation of how topological reconfiguration propagates coverage loss, together with a set of testable propositions and a proposed evaluation protocol for cross-border flood nowcast services.

Notes

Published in African Review of Artificial Intelligence in Climate Analytics, vol 27, issue 8, pp 57-70. DOI: 10.5281/zenodo.23606774. A Pan-African Research Journals (PARJ Africa) publication, https://parj.africa

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References

  • Angelopoulos, A. N., & Bates, S. (2021). A gentle introduction to conformal prediction and distribution-free uncertainty quantification. arXiv preprint arXiv:2107.07511.
  • Barber, R. F., Candes, E. J., Ramdas, A., & Tibshirani, R. J. (2021). The limits of distribution-free conditional predictive inference. Information and Inference, 10(2), 455-482.
  • Chung, F. R. K. (1997). Spectral graph theory. American Mathematical Society.
  • Davis, C., & Kahan, W. M. (1970). The rotation of eigenvectors by a perturbation. III. SIAM Journal on Numerical Analysis, 7(1), 1-46.
  • Dong, X., Thanou, D., Rabbat, M., & Frossard, P. (2019). Learning graphs from data: A signal representation perspective. IEEE Signal Processing Magazine, 36(3), 44-63.
  • Lei, J., G'Sell, M., Rinaldo, A., Tibshirani, R. J., & Wasserman, L. (2018). Distribution-free predictive inference for regression. Journal of the American Statistical Association, 113(523), 1094-1111.
  • Ortega, A., Frossard, P., Kovacevic, J., Moura, J. M. F., & Vandergheynst, P. (2018). Graph signal processing: Overview, challenges, and applications. Proceedings of the IEEE, 106(5), 808-828.
  • Papadopoulos, H., Proedrou, K., Vovk, V., & Gammerman, A. (2002). Inductive confidence machines for regression. In Machine Learning: ECML 2002 (pp. 345-356). Springer.
  • Shuman, D. I., Narang, S. K., Frossard, P., Ortega, A., & Vandergheynst, P. (2013). The emerging field of signal processing on graphs. IEEE Signal Processing Magazine, 30(3), 83-98.
  • Stankeviciute, K., Alaa, A. M., & van der Schaar, M. (2021). Conformal time-series forecasting. Advances in Neural Information Processing Systems, 34, 6216-6228.
  • Tibshirani, R. J., Barber, R. F., Candes, E., & Ramdas, A. (2019). Conformal prediction under covariate shift. Advances in Neural Information Processing Systems, 32, 2530-2540.
  • von Luxburg, U. (2007). A tutorial on spectral clustering. Statistics and Computing, 17(4), 395-416.
  • Vovk, V., Gammerman, A., & Shafer, G. (2005). Algorithmic learning in a random world. Springer.
  • Weyl, H. (1912). Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen. Mathematische Annalen, 71(4), 441-479.