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Build tracer-aware inputs and a linked-state CO2/O2 RHIME model #412

@brendan-m-murphy

Description

@brendan-m-murphy

Goal

Extend multi-sector RHIME to linked primary-species/tracer inversions using shared sector states and
tracer-specific sensitivities.

Tasks

  • Prepare canonical inputs with explicit species/tracer and sector structure.
  • Create each sector latent once when the science requires shared degrees of freedom.
  • Map sector latents into tracer-specific mu contributions through sensitivity matrices and
    conversion factors.
  • Add tracer-specific total modelled observations.
  • Add tracer-specific likelihoods, errors, offsets, and boundary-condition handling where needed.

Acceptance criteria

  • A synthetic CO2/O2 fixture samples successfully.
  • One sector latent appears once but contributes to both CO2 and O2 modelled-observation vectors.
  • Latent dimensionality is lower than independent CO2 and O2 sector inversions.

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