Forecast intervention effect half life

Learn how quickly a governed intervention's effect decays across resolved cohorts using a shared exponential half-life, cohort-specific amplitudes, a persistent floor, reported standard errors, and a profiled Bayesian grid; then forecast effect/value paths and when each current intervention is likely to fall below a practical threshold.

What it's for

Turns one-off transformation claims into an executive durability forecast: leaders can see when an observed process, platform, reliability, or AI-assistant improvement is likely to fade and schedule evidence review before value silently disappears.

What you give it

Inputs split into evidence read from your connected systems, calibration your team owns, and numerical controls that affect precision but never the result's meaning.

Field Type Role Required
confidence_level number ≥ 0.8, ≤ 0.99 Your calibration Optional
current_interventions array of objects (5 fields) ≥ 1 item Evidence Yes
direction one of "higher_is_better", "lower_is_better" Your calibration Yes
half_life_grid_points integer ≥ 20, ≤ 500 Numerical control Optional
historical_effects array of objects (5 fields) ≥ 30 items Evidence Yes
horizon_periods integer ≥ 1, ≤ 120 Your calibration Yes
max_detail_rows integer ≥ 1, ≤ 500 Numerical control Optional
maximum_half_life number > 0, ≤ 10000 Your calibration Optional
minimum_half_life number > 0 Your calibration Optional
minimum_practical_effect number ≥ 0 Your calibration Yes
minimum_review_probability number ≥ 0.5, ≤ 0.99 Your calibration Optional
seed integer Numerical control Optional
simulations integer ≥ 500, ≤ 20000 Numerical control Optional

Each current_interventions record

Field Type Required
elapsed_periods number (≥ 0) Yes
id string (non-empty) Yes
initial_effect number Yes
reinforcement_cost number (≥ 0) Optional
value_per_effect_unit_per_period number (≥ 0) Optional
Example input
{
  "current_interventions": [
    {
      "elapsed_periods": 0,
      "id": "review-policy",
      "initial_effect": 1,
      "reinforcement_cost": 500,
      "value_per_effect_unit_per_period": 1000
    }
  ],
  "direction": "higher_is_better",
  "half_life_grid_points": 80,
  "historical_effects": [
    {
      "cohort_id": "cohort-0",
      "effect_estimate": 0.9,
      "elapsed_periods": 0,
      "id": "effect-0-0",
      "standard_error": 0.05
    },
    {
      "cohort_id": "cohort-0",
      "effect_estimate": 0.7727171322029717,
      "elapsed_periods": 1,
      "id": "effect-0-1",
      "standard_error": 0.05
    },
    {
      "cohort_id": "cohort-0",
      "effect_estimate": 0.6656854249492381,
      "elapsed_periods": 2,
      "id": "effect-0-2",
      "standard_error": 0.05
    },
    {
      "cohort_id": "cohort-0",
      "effect_estimate": 0.5756828460010884,
      "elapsed_periods": 3,
      "id": "effect-0-3",
      "standard_error": 0.05
    },
    {
      "cohort_id": "cohort-0",
      "effect_estimate": 0.5,

Truncated for display — the full payload is 580 lines.

What you get back

This is the actual output of running the example above — computed by the same function the platform calls, not an illustration.

Example output
{
  "assumptions": [
    "Within the governed epoch, each cohort's benefit is a persistent floor plus a cohort-specific exponentially decaying component with a shared half-life.",
    "Historical effect estimates are comparable, directionally aligned, and accompanied by valid standard errors from identified or appropriately adjusted designs.",
    "Current initial effects are on the same scale as history; value conversion is owner-governed and does not turn association into causal ROI."
  ],
  "decision": "reinforcement_review_likely_within_horizon",
  "executive_summary": {
    "expected_aggregate_value_at_horizon": 256.5455,
    "half_life_p10": 3.3897,
    "half_life_p50": 4.0034,
    "half_life_p90": 4.7282,
    "persistent_effect_posterior_mean": 0.0831,
    "probability_any_below_practical_effect_now": 0,
    "probability_any_below_practical_effect_within_horizon": 1
  },
  "intervention_forecast": [
    {
      "effect_at_horizon_interval": [
        0.2098,
        0.3003
      ],
      "expected_effect_at_horizon": 0.2565,
      "intervention_id": "review-policy",
      "median_first_below_period": 7,
      "probability_below_practical_effect_within_horizon": 1,
      "reinforcement_cost": 500
    }
  ],
  "limitations": [
    "The half-life is a local empirical durability parameter, not a biological constant or a benchmark transferable across companies.",
    "A reinforcement review flag does not prove that reinforcement will restore the effect; that action needs its own effect and cost evidence.",
    "High posterior boundary mass means the supplied half-life grid or decay family is inadequate and the decision should be treated as unstable."
  ],
  "method": "profiled_bayesian_exponential_effect_half_life_v1",
  "model_diagnostics": {
    "posterior_boundary_mass": 0,
    "selected_grid_half_life": 4.0034,
    "selected_noise_scale": 1,
    "standardized_weighted_rmse": 0.0008
  },
  "period_forecast": [
    {
      "aggregate_effect_p10": 1,

Truncated for display — the full payload is 137 lines.

How it works

Sequential Bayesian & bandits — Learn while deciding — update beliefs as evidence arrives and choose where the next unit of effort is worth spending.

  1. 1 Directionally align comparable longitudinal effect estimates and their standard errors; require at least five cohorts with four or more observations beginning at elapsed period zero.
  2. 2 For every log-spaced half-life candidate, profile a weighted model with one shared persistent effect and one cohort-specific decaying amplitude, inflate uncertainty when residual dispersion exceeds reported standard errors, and convert relative likelihood into posterior grid weight.
  3. 3 Draw half-life and persistent-effect uncertainty, decay each current intervention from its locally supplied initial effect and age, and aggregate effect and governed value conversion across the forecast horizon.
  4. 4 Report posterior half-life, grid-boundary mass, model misfit, period distributions, and first-below-threshold probabilities; flag a reinforcement review rather than claiming reinforcement itself will work.

Before you trust it

Every tool in the catalog ships with the conditions under which its answer is meaningful — and the conditions under which it should abstain instead of guessing.

Assumptions & guardrails

  • The likelihood or reward model, prior support, action logging, delayed outcomes, and any stationarity assumptions match the deployment process.
  • Within one stable intervention/metric epoch, effects follow a persistent floor plus cohort-specific exponential decay with a shared half-life and no unmodeled reinforcement or version change.
  • Historical estimates use comparable causal or appropriately adjusted designs, common outcome units and horizons, valid standard errors, and explicit zero-period measurements.
  • Current initial effects and ages share the historical scale; business value per effect unit is supplied by accountable owners rather than inferred from engineering activity.
  • Posterior probability and adaptive selection are model-conditional; they are not substitutes for randomized propensities or guaranteed safety.
  • The estimated half-life is local to the intervention, outcome, population, cadence, and epoch; it is not transferable from another company or a permanent organizational constant.
  • A review flag is not an automated instruction to retrain, reorganize, reward, penalize, or repeat an intervention, because reinforcement effect and cost require separate evidence.
  • Forecast value is conditional on the governed conversion supplied to the tool and is not causal ROI if the historical effects were not causally identified.

Minimum evidence

  • historical_effects: at least 30 rows/items
  • current_interventions: at least 1 rows/items
  • direction: required and organization-defined
  • horizon_periods: required and organization-defined
  • minimum_practical_effect: required and organization-defined

How to validate it

Use chronological train/calibration/test windows, compare proper scores and decision value with a simple baseline, and recalibrate only from outcomes resolved after prediction time.

Calibrating it to your org

Same for everyone

The mathematical kernel, validation rules, method version, and JSON output semantics are organization-independent; no tenant-trained coefficients or company benchmark is embedded in the function.

Specific to you

  • comparable cohort-by-elapsed-period effect estimates and standard errors beginning at period zero
  • current intervention age and initial effect on the identical directionally aligned outcome scale
  • intervention version and cohort eligibility, effect estimator, outcome, cadence, direction, historical epoch, half-life grid, practical effect, review probability, current value conversion, and reinforcement cost

Calibration workflow

  1. 1 Define the management decision, target outcome, aggregate unit, privacy boundary, cadence, and prediction/intervention horizon for this organization.
  2. 2 Build a tenant-scoped historical cohort using only information available before each prediction or decision; preserve zero periods, censoring, assignment probabilities, and unresolved outcomes when the method requires them.
  3. 3 Estimate statistical parameters on training history, but obtain costs, utilities, risk tolerance, practical-effect thresholds, capacity, and policy constraints from accountable decision owners.
  4. 4 Validate on later time windows or held-out aggregate units at the deployment grain, against a simple baseline and the function-specific validation strategy.
  5. 5 Deploy only if the returned decision clears evidence, overlap, calibration, robustness, and guardrail checks; warning, unsupported, schema-gap, and fallback decisions are abstentions.
  6. 6 Monitor realized outcomes, data drift, coverage, and decision regret; recalibrate at a governed cadence or after a detected regime/definition change, never merely because a stakeholder dislikes the result.

Call it from your AI

You don't wire up 388 tools in your MCP client. The GitRevio MCP server exposes 18 tools, three of which let an agent search the catalog, read a tool's schema, and run it — so the assistant finds this one on its own.

gitrevio_capabilities_search
  { "q": "learn how quickly a governed interventions" }
  → finds "forecast_intervention_effect_half_life"

gitrevio_capability_describe
  { "capability_id": "forecast_intervention_effect_half_life" }
  → returns the input schema and agent guidance shown on this page

gitrevio_capability_run
  { "capability_id": "forecast_intervention_effect_half_life", "arguments": { ... } }
  → returns the result shown above

Works in Claude Desktop, Claude Code, Cursor, Cline, Continue.dev, Goose and Aider. See the MCP server.

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