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Floods are complex events: water accumulates, flows, mixes with pollutants, and can devastate natural habitats. To better understand these processes, scientists built a model called FF‑Flood, which combines five variables – surface storage, runoff, river flow, water level, and flooded area.

The game‑changer is artificial intelligence (AI). Using deep neural networks, the model can “learn” from real data and spot patterns that traditional linear models miss, such as soil memory effects that influence runoff days after rain.

Results show the FF‑Flood system is stable: a unique, predictable solution always exists. Simulations highlighted how small changes in water level can trigger large variations in flooded surface, affecting aquatic flora and fauna.

In practice, AI helps forecast more precisely where and when an inundation will occur, allowing authorities to act before damage spreads. This integrated approach promises more reliable predictions and protection for vulnerable ecosystems, turning flood emergency management into a smarter science.

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The FF‑Flood model is formulated using a system of fractional-order ordinary differential equations (FF), incorporating Caputo derivative operators to represent the soil's hydrological memory. Nonlinear terms, such as the product of water level and flooded area, generate chaotic dynamics that require stability analysis based on Lyapunov theorems and fixed-point methods.

AI integration occurs via a convolutional neural network (CNN) trained on time series of hydrometric data, radar, and water quality sensors. The CNN extracts spectral features that feed a reinforcement learning algorithm, optimizing FF‑Flood model parameters in real time.

Numerical simulations, performed with higher‑order Adams‑Bashforth integration methods, reveal high sensitivity to input variations like intense precipitation and soil permeability. Monte Carlo analysis combined with cumulative probability distribution provides risk curves for critical flood thresholds, allowing quantification of ecosystem disruption probabilities.

Finally, experimental validation was carried out on three European river basins, comparing model forecasts with field data. Results showed a 22% reduction in mean absolute error compared to traditional models, confirming the effectiveness of the AI‑FF hybrid approach for sustainable water resource management.

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Authors:
Hasib Khan
Date Published:
Original Article www.frontiersin.org
Fact-check verified on 24/02/2026
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Creative Commons License CC BY-NC-SA 4.0

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