Data & Scripts for: Ecological Amplitude Modulation: Hydraulic Resonance Governs Ecosystem Resilience to Compound Extremes

Compound heat-dry extremes imperil carbon sinks, yet non-linear vegetation responses are hard to depict in Earth System Models that lean on additive reasoning. We interpret an enigma in South Chinese monsoon forests: Gross Primary Production collapsed during a 2003 drought but was more resistant to a more severe heatwave in 2013. We use the Ecological Amplitude Modulation (EAM) framework and isolate an emergent quasi-40-day spectral gap as an inherent inertia threshold entrained to soil moisture memory (τ≈ 30 -45 days). Diagnosis suggests that the 2003 fracture was due to "hydraulic resonance" caused by frequency-locking between physiological carriers and sub-seasonal modulators. By contrast, 2013 resilience arose from “adaptive decoupling”; as power shifted energy to off-resonance frequencies, isolating the forest's physiological engine from atmospheric perturbations. Our results suggest a transition from magnitude-induced to frequency-dependent resilience, with the spectral gap emerging as a physical signature of carbon sink tipping points. This framework thus offers a solid biophysical foundation to measure ecosystem stability in the Anthropocene age of heavily augmented variability.