TIER_1 = direct_war_deaths / proven_reserves_contested
= 300,000 / 145,000,000,000 = 2.07×10⁻⁶ deaths/bbl
TIER_2 = extraction_labor_deaths / production_volume (US, 2003–2013)
= 1,189 / 47,000,000,000 = 2.53×10⁻⁸ deaths/bbl
TIER_3 = indirect_deaths_attributed / cumulative_production (era)
= 100,000,000 / 1,500,000,000,000 = 6.67×10⁻⁵ deaths/bbl
blood_price = (oil_usd/bbl × deaths/bbl × liters/person) / (liters/bbl)
= (75 × D/bbl × 5,000L) / 158.99L
externality_gap = medical_price / shadow_price ≈ 14,000×–880,000×