Applying the System Asset Pricing Model
Decision Accounting
Applying the System Asset Pricing Model to Orbital Access: Measuring the System Welfare Cost of Low Earth Orbit Congestion
core-claim
Core claim
Each dollar of orbital-access revenue destroys $2.18 in welfare
The global satellite industry generates 293 billion per year in revenue, but imposes 638 billion per year in welfare costs across seven channels. The system beta βW = 2.18.
- βW = −dW/dΠ = 2.18 (90% CI: 1.5–3.3)
- System-adjusted payoff at full social-cost pricing: −$345 billion/year
- Breakeven shadow price μ* = 0.46: above that, the industry is net welfare-negative
problem
The problem
LEO is a common-pool resource with no sovereign pricing or property rights
Article II of the 1967 Outer Space Treaty bans national appropriation; Article I mandates free access. No state can tax or own orbital slots.
- 13,026 active satellites, 40,500 tracked debris >10 cm, 130 million lethal micro-particles
- The 520–1,000 km band has crossed the Kessler self-sustaining cascade threshold (Lewis and Kessler, 2025)
- GPS alone generates 1.4 trillion cumulative U.S. benefits; a complete outage costs 1 billion/day
trap
Missing system trap
Every bilateral transaction is rational; the aggregate outcome destroys welfare
Each satellite launch is individually profitable, but adds to collision risk for all 13,026 active satellites. No single operator can improve system welfare by unilateral restraint.
- Starlink executes >100,000 collision avoidance maneuvers per year
- Insurance claims (995M in 2023) exceeded premiums (557M)
- The FCC's 5-year deorbit rule applies only to U.S.-market-seeking satellites; China's Guowang (13,000 planned) and Qianfan (15,000 planned) are unbound
channels
Seven channels
Welfare destruction is measured across seven monetized channels
The total welfare cost W = $638B/year, dominated by the intertemporal option value channel (foreclosed future orbital access).
- Collision cascade: ~$10B/year (expected catastrophic fragmentation losses)
- Collision avoidance friction: ~$5B/year (propellant, labor, maneuver costs)
- Terrestrial service dependency: ~$15B/year (GPS disruption, precision agriculture losses)
- Intertemporal option value: ~$549B/year (annualized present value of permanently lost orbital capacity)
- Insurance market distortion: ~$0.4B/year (underwriting gap)
- Non-collision environmental: ~$2B/year (astronomy degradation, stratospheric metal deposition)
- Military externality: ~$57B/year (ASAT debris, strategic instability)
ceiling
Orbital congestion ceiling
No market mechanism can push system beta below ~1.5
Under three axioms (Launch Necessity, Debris Generation Identity, Kessler Cascade Irreversibility), the N² scaling of collision probability guarantees that marginal welfare cost exceeds marginal private benefit at current densities.
- A1: Commercial and strategic value requires physical placement in LEO
- A2: Every launch and collision generates fragments persisting for years to centuries
- A3: Above critical density, collision rate exceeds natural decay rate – cascade is self-sustaining
- The ceiling is deductive from orbital mechanics, not technology-conditional
pigou
Pigouvian insufficiency
Bilateral taxes computed from launch transactions cannot internalize aggregate density costs
The welfare cost is a property of the aggregate orbital density field, not of any individual launch. No bilateral tax can price the systemic risk.
- The externality is diffuse and probabilistic: 1.1 million debris objects 1–10 cm are untrackable but lethal
- The Liability Convention's 'fault' requirement is useless when debris origin is unidentifiable
- Active Debris Removal under open access triggers a Jevons Paradox: cheaper debris removal induces more launches, preserving βW
classification
Equilibrium classification
Orbital access is a Slow Hollow Win
β̄ > 1 (2.18), multi-generational latency (debris at 800 km persists for centuries), and partially irreversible environmental stock effects (hypervelocity fragmentation is thermodynamically irreversible).
- Slower than Bitcoin (stop mining, emissions cease); comparable to monoculture (soil rebuilds over decades)
- More permanent than PFAS: no remediation technology can 'clean' a saturated orbital shell faster than atmospheric drag
- At 800 km, atmospheric drag takes centuries; destroyed orbits do not heal
transformations
Game transformations
Early-stage interventions alter the system beta by shifting governance architecture
The FCC's 5-year deorbit rule, the proposed Orbital-Use Fee (Rao et al., 2020), and ESA's ClearSpace-1 mission are institutional interventions that move from open-access anarchy to priced commons.
- Rao et al. (2020): an Orbital-Use Fee starting at 14,900/satellite-year, escalating 14% annually, would quadruple industry NPV from 600B to $3T
- FCC's 5-year rule applies to U.S. market access; does not bind Chinese or Russian programs
- ClearSpace-1 (ESA) is a single-mission ADR; at $80M per large debris removal, no commercial market exists
evidence
Theoretical result stands independently of precise empirical calibration
The Orbital Congestion Ceiling is deductive from axioms A1–A3. The empirical βW = 2.18 is a first-pass estimate subject to parameter uncertainty, especially discount-rate sensitivity in the intertemporal channel.
- Monte Carlo robustness: 100,000 draws, 90% CI [1.5, 3.3]
- Removing the intertemporal channel leaves ~$89B/year in contemporaneous losses, giving β ≈ 0.30
- Falsification: demonstrate convex PSF under A1–A3, or total welfare cost < $293B/year
implications
What it changes
The system beta makes the invisible welfare cost of orbital congestion measurable and actionable
Standard space-economics metrics (revenue, launch cost, market cap) miss the $638B/year welfare destruction. The SAPM provides a single dimensionless ratio that can track progress toward sustainability.
- Policymakers can use βW to evaluate the welfare impact of new regulations or technologies
- The breakeven shadow price μ* = 0.46 sets a clear threshold for when intervention is justified
- The Orbital Congestion Ceiling proves that private action alone cannot solve the problem – institutional intervention is structurally necessary