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DPAH Markovian Matrix: Dew-Point Anchor Hypothesis – Fully Coupled Hadley-Cell Model with Canary Current Winter Descent (Runs 501–507)

Authors: Mulholland, Philip;

DPAH Markovian Matrix: Dew-Point Anchor Hypothesis – Fully Coupled Hadley-Cell Model with Canary Current Winter Descent (Runs 501–507)

Abstract

This notebook series implements the Dew-Point Anchor Hypothesis (DPAH) using a Markovian state-space approach. DPAH treats the dew-point lifting condensation level (LCL) as an independent physical anchor. The tropospheric column is integrated downward using hydrostatic equilibrium and adiabatic processes. Run501–507 establishes a clean, modular, vectorized Python codebase (DPAHMarkovModel class) with explicit dewpoint control, full column physics, and two coupled regimes: Ascent (ITCZ-like): warm-moist attractor at ~299.4 K. CanaryDescent (subtropical high / eastern Atlantic winter): realistic cold bias, tight 1025 hPa high-pressure grouping, strong trade-wind inversion, and reduced high-ELR tail consistent with low-level cellular convection patterns observed over the cold Canary Current. Paired regime coupling (0.03 mass-transport exchange) and film-suppression sensitivity testing confirm the powerful negative feedback of the dew-point thermostat. The composite ELR tail in the descent regime reflects the realistic trade-wind inversion structure (stable low-ELR layer near the surface overlain by drier subsiding air).

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