Heat stroke — core temperature >40°C with central-nervous-system dysfunction — is a time-critical emergency spanning the exertional variant (young, healthy; ~3–5% mortality) and the classic / non-exertional variant (elderly, comorbid, heat-wave; 10–65% mortality), through stages from heat exhaustion to multi-organ failure. As climate change drives heat mortality upward, this oracle estimates the causal reduction in heat-stroke mortality across cooling methods, systems-of-care, organ support and prevention — with antipyretics and dantrolene included as dominated anti-targets. Effect sizes are from named consensus statements and trials. For education, not individual medical advice.
Tick the interventions to combine. Each shows its trial effect estimate, 95% confidence interval (CI), E-value, mechanism, and citation. ★ = in the current Pareto effective set but not yet ticked.
Headline is the front-door estimate: shared Tc overlap removed via dose-response saturation; residual direct-effect overlap removed via the eigenvalue model at ρ̄.
Under monotonicity + exogeneity (E-value bounds the exogeneity assumption).
Faithful causal directed acyclic graph (DAG). Cooling methods act through the shared mediator core body temperature / thermal load, which drives the systemic inflammatory response, multi-organ injury and thence mortality (Y). Organ support and prevention act independently of core temperature (downstream cascade / upstream thermal load). Named confounders — variant, time-to-cooling, age — open back-door paths (adjusted). Mediator cascade: interventions attach to the node they act on (prevention / → cooling → organ → pharmacologic), which converge on the disease state and thence the endpoint — drawing the intermediate mediators explicitly is what exposes d-separation and per-channel saturation.
Eigenvalue diagnostics for the selected interventions under an equicorrelation matrix (off-diagonal ρ̄). A large λmax relative to k signals redundancy; n_eff is the effective number of independent interventions actually contributing.
On mechanistic grounds ρ̄ ≈ 0.30 is defensible: the cooling methods all act through the same final pathway — lowering core temperature — so applying two simultaneously is largely redundant (you cannot cool the same body twice). ρ̄ is user-adjustable because organ support and prevention share little mechanism with acute cooling. Most of the overlap is now handled structurally by the mediator nodes (same-node substitutes saturate); ρ̄ governs only the residual correlation among direct effects.
Minimum-effective-set analysis. Set a target combined risk reduction; the model finds the smallest set of interventions — accounting for front-door mediator overlap — that reaches it, and highlights them. If the target exceeds what all interventions together can achieve, the full set is shown (never an empty one). "Apply" ticks exactly that set.
Monte Carlo propagation. Each selected intervention's log-effect is sampled from a normal distribution implied by its 95% CI; samples are combined with the same eigenvalue overlap discount. 5,000 draws.
Intervening on the selected set S with Pearl's do-operator (setting the interventions, not merely observing them). Contrast against do(∅) = no intervention.
For each intervention: "if not for this one, the combined front-door effect would be…". Isolates each intervention's marginal causal contribution after mediator-overlap removal, so shared-pathway agents are not double-credited.
| If not for… | RR without it | RR with full set | marginal RRR lost |
|---|
One-at-a-time sensitivity. Each intervention's effect is swung across its 95% confidence interval (others held at point estimate); the bar is the resulting swing in the combined front-door effect. A long bar means the combined estimate leans heavily on that single trial's precision.
Front-door (mediation) decomposition. Cooling methods act through one shared mediator — core temperature. Each log-effect is split into a temperature-mediated (indirect) and a direct part. Indirect parts are pooled through the mediator with dose-response saturation, removing the mediator cross-correlation; direct parts keep the residual eigenvalue correlation at ρ̄. Organ support (downstream) and prevention (upstream), which act off core temperature, are NOT discounted against the cooling arms — and the two anti-target arms surface as near-null / harmful. Here mediated effects are pooled WITHIN each cascade node (dose-response saturation of substitutes) and composed in SERIES across nodes (d-separated channels), with the per-node reductions reported so the channel structure is visible.
| Intervention | RR | %cool | med-frac | indirect log | direct log |
|---|
Which % of cross-correlation is appropriate? Not one number. The mediator overlap is fixed empirically by the Tc saturation (currently removing — of the summed mediated effect when interventions are stacked). Note a domain caveat: the cooling arms are strongly redundant (one final pathway — core temperature), whereas organ support and prevention add distinct mechanisms. Temperature-mediated fractions are transparent, adjustable priors reflecting cooling rate.
Front-door caveat (antithesis): effect sizes are conditional on RAPID application (a late method is not the method studied), two arms are anti-targets, cooling does not reverse the cascade once locked in, and the two variants are not interchangeable. Most evidence is cooling-rate physiology and case series, not mortality RCTs.
Select interventions to generate a plain-language summary.