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IMPOSSIBILITY#48 of 56 by βWPaper #17
Groundwater / Ogallala Aquifer
Recharge rate: 0.5 inches/year. Extraction rate: 12+ inches/year. The Ogallala took 10 million years to fill. Kansas will exhaust its share in 25 years. The aquifer is not renewable on any human timescale.
WELFARE BETA
candidate beta-W 0.94
source-reported average; admission pending independent channel and denominator review
THEOREM TYPE
Impossibility
physically/biologically binding
SOURCE STATUS
Summary + deck generated
verified by paper record
OPEN HTML DECK ↗Deck mode is an on-site reading view, not a PowerPoint download.
Theorem status: evidence-traced claim under the cited paper's assumptionsMC interval status: re-estimation required; legacy template bands are withheldWelfare beta is a source-reported candidate average; channel and denominator admission is pendingAnnual industry revenue is the denominator, not profit; both quantities must share the activity boundaryFalsification: show the same game preserving system welfare without changing the payoff structure
0.94
welfare beta
$32.9B
annual loss ($B/yr)
$35B
annual revenue ($B/yr)
KEY FINDINGS
THE HYDROLOGICAL RECHARGE FLOOR
Aquifer Recharge Floor (Impossibility Theorem). Under Hydrogeological Asymmetry (A1: extraction rate >> recharge rate), Temporal Mismatch (A2: agricultural planning horizon << refill time), and Jurisdictional Fragmentation (A3): no market mechanism can achieve sustainable yield.
PLAIN ENGLISH
The Ogallala Aquifer took 10,000 years to fill. We are draining it in 100. The extraction-to-recharge ratio exceeds 10:1 in the Central and Southern High Plains. Natural refill: 500-1,300 years. The impossibility is hydrogeological — no policy makes water appear faster.
six-lane CONFLICTORING ADVICE
EVIDENCE & LIMITATIONS
- Theorem status: evidence-traced claim under the cited paper's assumptions
- MC interval status: re-estimation required; legacy template bands are withheld
- Welfare beta is a source-reported candidate average; channel and denominator admission is pending
- Annual industry revenue is the denominator, not profit; both quantities must share the activity boundary
- Falsification: show the same game preserving system welfare without changing the payoff structure
REFERENCES / CITATION STATUS
Reference counts for this manuscript have not been published yet. Treat its citations as unverified until a source list is available.
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EXECUTIVE SUMMARY
The High Plains (Ogallala) Aquifer supports 27% of US irrigated agriculture but is being mined at rates exceeding recharge by over 10:1. Standard economic metrics miss the system welfare cost. Using the System Asset Pricing Model (SAPM), the paper estimates a system beta of 0.94: each $1 of same-boundary irrigated agriculture revenue is associated with $0.94 of welfare loss across seven channels (irrigation transition, rural economic cas
SOURCE QUESTIONS
WHY THIS MATTERS
For the economist
Classified Impossibility. The source-reported candidate beta-W of 0.94 is the average system-welfare loss per dollar of industry revenue. Its channel inputs, denominator, and uncertainty packet still require independent admission.
For the regulator
The constraint is physical or biological, so disclosure alone will not internalize it. The policy lever is to bound exposure, not to price it away.
For the executive
This is where a privately efficient decision can degrade the system the business depends on. The governance question is which decision records would make that system cost visible before it is normalized.
For the teacher
An on-site HTML deck and the expanded curriculum cover the argument, the evidence, and the measurement. Use the deck as a self-contained class session, then route deeper through the 45-50h core course or 100+h full curriculum.
For the affected community
In plain terms: who gains from the current arrangement, who pays for it, and what rule change would alter that split. The summary states each without jargon.
RELATED BY WELFARE BETA
Welfare beta is shown on the same scale for each card: annual system-welfare loss divided by annual industry revenue, with both measured on the same domain, same time period, and same activity boundary.
© 2026 Erik Postnieks · Independent Researcher · Salt Lake City