Resources, Growth & Sustainability

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Abstractions about capital stocks, savings, resource extraction, sustainable yield, environmental growth effects, production burden, and rebound emissions.

10 abstractions in this family — domain-specific abstractions that sit near one another in structural-signature space (k-means over structural-signature embeddings). Each is shown with its short description.

• Capital Stock — Treat a durable productive resource as a priced stock with four operations — investment, depreciation, accumulation, and return — plus a present-value pricing convention that renders holdings of different capital forms commensurable on one ROI ledger.
• Environmental Kuznets curve — The hypothesis that environmental degradation follows an inverted-U against per-capita income — rising as a poor economy industrializes, peaking at middle income, then falling as richer populations buy cleaner technique — holding only for local, internalized pollutants, not global-commons ones.
• Fishing Effort — Quantify a fleet's extraction pressure on a wild stock as one composite variable that, multiplied by a stock-specific catchability coefficient, yields the fishing mortality driving depletion — the management lever calibrated against maximum sustainable yield.
• Gibrat's Law — The claim that a firm's proportional growth rate is independent of its current size — which, iterated as multiplicative iid noise, makes log-size a random walk and drives the cross-sectional size distribution toward log-normal.
• Golden Rule Savings Rate — Pin the savings rate that maximizes steady-state per-capita consumption at the capital stock where the marginal product of capital equals population growth plus depreciation (f'(k*) = n + δ) — turning savings-policy welfare into a single scalar sign test.
• Malthusian Trap — The demographic-economic dynamic in which productivity gains trigger population growth fast enough to absorb them, pinning long-run living standards near a subsistence floor through a negative feedback loop — until either technology outruns demographic absorption or the feedback's sign reverses.
• Maximum sustainable yield — The largest catch removable from a renewing population indefinitely, which under logistic growth peaks not at maximum stock but at half the carrying capacity — a static optimum that is dynamically unstable from above and so a dangerous target under measurement uncertainty.
• Natural Capital — Treat a functioning natural system as a standing asset stock whose condition governs the future stream of ecological benefits, making depletion of productive capacity distinct from consumption of its current yield.
• Overburden Waste (Muri) — The lean-operations failure mode where people, machines, or processes are held continuously above their sustainable (not peak) capacity, converting apparent utilization gains into lagged, hidden costs — wear, defects, attrition, and downstream cascades — by consuming the very buffer that absorbs variation.
• Rebound Emissions — An efficiency gain lowers both the per-unit emissions and the per-unit cost of an activity, and the cheaper cost stimulates more volume, partly or wholly offsetting the aggregate emissions reduction the efficiency would otherwise deliver.