The El Niño–Southern Oscillation (ENSO) is a dominant mode of interannual climate variability, yet the mechanisms limiting its
long-lead predictability remain unclear. Here we develop a physics-guided Deep Echo State Network (DESN) that operates
on physically interpretable climate modes selected from the extended recharge oscillator (XRO) framework. DESN achieves
skillful Niño 3.4 predictions up to 16–20 months ahead with minimal computational cost. Mechanistic experiments show that
extended predictability arises from nonlinear coupling between warm water volume and inter-basin climate modes. Error-growth
analysis further indicates a finite ENSO predictability horizon of approximately 30 months. These results demonstrate that
physics-guided reservoir computing provides an efficient and interpretable framework for diagnosing and predicting ENSO at
long lead times.
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