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It is not the case that Variance decomposition need not presuppose additivity; interaction components (G×E) can themselves be quantified and assigned proportional weight.
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Reasons For
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Reason for
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1.
Interaction variance is context-dependent and scale-dependent; assigning fixed proportional weight conflates mathematical possibility with conceptual meaning.
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2.
Without additivity, partitioning becomes arbitrary—different decomposition schemes yield different G×E weights for identical data, undermining objectivity.
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3.
The claim conflates quantification with interpretation; we can compute G×E terms without establishing they merit independent causal or explanatory weight.
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Reasons Against
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Reason against
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1.
Interaction effects are empirically real phenomena that influence outcomes; excluding them from decomposition artificially obscures causal structure.
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2.
Proportional weighting of G×E terms is mathematically coherent via variance partitioning methods that don't require linear additivity assumptions.
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3.
Many biological systems exhibit genuine non-additive effects; additivity-based models misrepresent these systems' actual organizational logic.
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