Pearl SCM · Do-Calculus · Backdoor Adjustment · ρ̄ = 0.30 Cross-Correlation Corrected
This optimizer applies a greedy Pareto algorithm to find the smallest set of mechanistically independent interventions that achieves a specified percentage of maximum possible effect size. Mechanistic independence is defined by distinct causal pathways: two interventions sharing the same primary MOA pathway cannot both be in the minimum set.
| N | Interventions | ρ̄-adj HR | Efficiency | Marginal Gain |
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Beyond 3–4 interventions, marginal gains diminish due to: (1) shared downstream mechanisms (all pathways converge on BDNF, HPA normalization, and neuroinflammation reduction); (2) adherence fatigue — real-world compliance drops 35% per additional concurrent intervention; (3) interaction effects — CBT + exercise together are less than additive because both require sustained motivation and behavioral change capacity. The optimizer's saturation-corrected HR accounts for 15% diminishing returns per intervention beyond the 3rd.
Toggle factors to include in combined analysis. HRs are backdoor-adjusted. E-values = minimum confounding to nullify association.
⭐ = included in current minimum effective set. Stars update live with optimizer settings.
do(Trauma=0). PAF = 22.4%. Eliminating childhood maltreatment population-wide reduces depression incidence by ~22.4 cases per 100. Policy horizon: 30–50 years.
do(Exercise = 3×/week aerobic+resistance). From umbrella review (27 meta-analyses, n>190 RCTs), SMD=−0.67 → HR=0.62. Hypothetical projection — at an assumed 50% adherence (adjustable): ~19% fewer cases (change adherence and this changes).
do(CBT + Exercise + CBT-I + Social). ρ̄-adjusted combined HR = 0.24. Real-world adherence correction (×0.55): effective HR ≈ 0.38, representing ~62% modelled maximum reduction (ceiling, full adherence) in depression probability for adherent individuals.
PN = [P(Y|X=1)−P(Y|X=0)] / P(Y|X=1). HR=2.30, prev=22%. P(Y|iso=1)≈0.35, P(Y|iso=0)≈0.15. PN = (0.35−0.15)/0.35 = 0.57. Among depressed isolated individuals, 57% would NOT have developed depression "but for" the isolation — the strongest modifiable PN.
HR=2.10, prev=18%. PN ≈ (HR−1)/HR = 1.10/2.10 = 0.52. Among depressed insomniacs, 52% of depression cases are necessity-attributable to the sleep disorder. CBT-I treats both simultaneously — uniquely high-leverage.
Mediates ~35% of all upstream risk factor causal paths (trauma, poor diet, sedentary, SES). PN = 0.46 as a causal mediator. Anti-inflammatory interventions (exercise, Mediterranean diet, omega-3 in appropriate populations) synergistically target this central node.
| Risk Factor | HR | 95% CI | E-Value | E-Val (CI) | Robustness | Source |
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| Intervention | HR | E-Value | Grade | MOA Pathway | Robustness |
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