Estimate productivity rebound effect

Estimate how much aggregate capacity released by a productivity intervention is absorbed by induced output or workload using stacked matched-cohort log difference-in-differences; separate fixed-output efficiency, induced output and total resource use, audit pretrends, reconcile the log identity, and cluster-bootstrap rebound uncertainty including backfire above 100 percent.

What it's for

Reveals whether promised AI or process productivity becomes actual capacity savings, valuable extra output, or hidden workload backfill—and quantifies the distinction causally.

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
bootstrap_draws integer ≥ 200, ≤ 20000 Numerical control Optional
confidence_level number ≥ 0.5, < 1 Your calibration Optional
max_detail_rows integer ≥ 1, ≤ 500 Numerical control Optional
maximum_absolute_pretrend_log_effect number ≥ 0 Your calibration Optional
maximum_acceptable_rebound_fraction number ≥ -10, ≤ 10 Your calibration Optional
maximum_follow_up_period integer ≥ 0, ≤ 120 Your calibration Yes
minimum_detectable_efficiency_gain_fraction number ≥ 0, ≤ 1 Your calibration Optional
observations array of objects (8 fields) ≥ 8 items Evidence Yes
planned_efficiency_gain_fraction number ≥ 0, ≤ 1 Your calibration Yes
seed integer ≥ 0, ≤ 2147483647 Numerical control Optional

Each observations record

Field Type Required
comparison_set_id string (non-empty) Yes
id string (non-empty) Yes
output_units number (> 0) Yes
relative_period integer (≥ -120, ≤ 120) Yes
resource_input_units number (> 0) Yes
treated_group boolean Yes
unit_id string (non-empty) Yes
weight number (> 0) Yes
Example input
{
  "bootstrap_draws": 200,
  "maximum_acceptable_rebound_fraction": 0.8,
  "maximum_follow_up_period": 1,
  "observations": [
    {
      "comparison_set_id": "match-0",
      "id": "rebound-0-control--2",
      "output_units": 100,
      "relative_period": -2,
      "resource_input_units": 100,
      "treated_group": false,
      "unit_id": "match-0-control",
      "weight": 1
    },
    {
      "comparison_set_id": "match-0",
      "id": "rebound-0-control--1",
      "output_units": 100,
      "relative_period": -1,
      "resource_input_units": 100,
      "treated_group": false,
      "unit_id": "match-0-control",
      "weight": 1
    },
    {
      "comparison_set_id": "match-0",
      "id": "rebound-0-control-0",
      "output_units": 100,
      "relative_period": 0,
      "resource_input_units": 100,
      "treated_group": false,
      "unit_id": "match-0-control",
      "weight": 1
    },
    {
      "comparison_set_id": "match-0",
      "id": "rebound-0-control-1",
      "output_units": 100,
      "relative_period": 1,
      "resource_input_units": 100,
      "treated_group": false,
      "unit_id": "match-0-control",
      "weight": 1

Truncated for display — the full payload is 169 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
{
  "configuration": {
    "bootstrap_draws": 200,
    "confidence_level": 0.9,
    "maximum_follow_up_period": 1,
    "seed": 7
  },
  "decision": "productivity_rebound_supported_within_governed_limit",
  "excluded_comparison_sets": [],
  "failed_gates": [],
  "guardrails": [
    "Rebound is estimated for aggregate output and resource units inside matched comparison sets; it is not an individual productivity score and must not be used for hiring, firing, surveillance or workload intensification.",
    "The stacked design requires a credible untreated comparison group, a clean reference period, parallel pretrends, stable measurement and no spillovers or concurrent differential intervention; failing those gates means abstention, not zero rebound.",
    "Efficiency at fixed output, induced output and total resource use answer different questions: positive productivity can coexist with high rebound or backfire when newly available capacity creates valuable additional demand.",
    "A rebound above 100% can be economically rational if induced output is valuable; pair this estimate with incremental value, quality, wellbeing, emissions and capacity constraints before changing policy."
  ],
  "method": "stacked_matched_cohort_log_did_rebound_bootstrap_v1",
  "period_effects": [
    {
      "comparison_set_count": 2,
      "output_log_effect": 0,
      "relative_period": -2,
      "resource_input_log_effect": 0,
      "resource_intensity_log_effect": 0
    },
    {
      "comparison_set_count": 2,
      "output_log_effect": 0.0953,
      "relative_period": 0,
      "resource_input_log_effect": -0.1278,
      "resource_intensity_log_effect": -0.2231
    },
    {
      "comparison_set_count": 2,
      "output_log_effect": 0.0953,
      "relative_period": 1,
      "resource_input_log_effect": -0.1278,
      "resource_intensity_log_effect": -0.2231
    }
  ],
  "summary": {
    "aggregate_unit_count": 4,
    "efficiency_gain_confidence_interval": [
      0.2,

Truncated for display — the full payload is 69 lines.

How it works

Statistical audit & measurement — Check whether a number is fit to decide on: coverage, timing, reconciliation, and the gaps a dashboard hides.

  1. 1 Construct prospectively matched treated/control comparison sets at aggregate-unit grain with a clean relative-period minus-one reference, stable output and resource definitions, weights and at least two comparison sets.
  2. 2 Estimate within-set treated-minus-control log changes for output, total resource input and resource intensity by event period; audit pre-intervention trends and average eligible follow-up effects without mixing calendar adoption cohorts.
  3. 3 Translate intensity into fixed-output efficiency, output into induced demand, and total input into realized resource change; calculate rebound as the fraction of expected fixed-output saving reabsorbed and cluster-bootstrap its interval.

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

  • Metric definitions, weights, aggregate grain, sampling, missingness, dependence, and comparison windows correspond to the management claim being audited.
  • Comparison groups provide a credible untreated counterfactual with parallel pretrends, no differential concurrent treatment or spillover, stable output/resource measurement and composition, a common reference period, and adequate aggregate privacy support.
  • Association, instability, or measurement quality is not a causal effect and must not be converted directly into an individual employment decision.
  • Rebound is not failure: saved capacity may create valuable output, while backfire means total resource use rises; report value, quality, wellbeing and environmental consequences separately and never turn aggregate rebound into employee surveillance or work intensification.

Minimum evidence

  • observations: at least 8 rows/items
  • maximum_follow_up_period: required and organization-defined
  • planned_efficiency_gain_fraction: required and organization-defined

How to validate it

Validate on future periods or held-out aggregate units, compare with a simple baseline, and require stability across plausible metric definitions and decision thresholds.

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

  • prospectively matched cohort panel with immutable intervention timing, stable output/resource definitions, common reference period, eligible untreated controls, composition checks, concurrent-change metadata and spillover boundaries
  • aggregate privacy floor, valuable-output and resource definitions, intervention/comparison eligibility, matching design, reference/follow-up periods, parallel-trend and spillover assumptions, planned gain, detectable-gain/rebound/pretrend gates, confidence/bootstrap controls and workforce/safety authority

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": "estimate how much aggregate capacity released" }
  → finds "estimate_productivity_rebound_effect"

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

gitrevio_capability_run
  { "capability_id": "estimate_productivity_rebound_effect", "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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