Keystone Severity Formula
Severity = Keystone Index × Substitution Difficulty. High impact with easy substitutes is manageable; high impact with no substitutes is existential. Sea otters have substitutes (sunflower stars); gray wolves don't.
When sea otters vanished from Pacific kelp forests, ecologists could find substitutes for their role as urchin predators—sunflower sea stars kept urchin populations in check until a 2013 wasting disease devastated them. But when gray wolves disappeared from Yellowstone in the 1920s, no substitute existed for their combined effects on elk behavior, vegetation patterns, stream geomorphology, and beaver habitat. The ecosystem waited 70 years for deliberate reintroduction in 1995—and recovery is still ongoing. This asymmetry—some keystones have functional equivalents while others are truly irreplaceable—demands a more sophisticated risk assessment than simple impact measurement. The Keystone Severity Formula multiplies Keystone Index (impact relative to resource allocation) by Substitution Difficulty (how hard it is to replace the function). TSMC commands roughly 70% of the global semiconductor foundry market and dominates advanced chip manufacturing. Its Keystone Index is astronomical—removing it would disrupt global technology supply chains. But the Substitution Difficulty is what makes it existential: building equivalent capacity requires massive capital investment, tens of thousands of specialized engineers, and years of construction. That's a Severity score in the thousands. The formula transforms vague concerns about 'critical dependencies' into quantified priorities that drive resource allocation.
When to Use Keystone Severity Formula
Use after calculating Keystone Index to determine which high-impact dependencies require immediate protection investment. Apply it when prioritizing redundancy spending, succession planning, or supplier diversification. Deploy when executives ask 'what if we lose X?' to quantify the recovery cost and timeline. Run it annually on your top 10 keystone components to track whether severity is rising or falling. See also: Keystone Index for the base impact calculation, and Reliability Paradox Matrix for understanding how reliability masks vulnerability.
How to Apply
Calculate Keystone Index
Use the KI formula: Impact / Proportional Resource Allocation. A team member who consumes 5% of payroll but drives 40% of revenue has KI = 8. A supplier representing 2% of spend but enabling 60% of production has KI = 30. Components with KI > 10 deserve severity analysis.
Questions to Ask
- What percentage of organizational resources does this component consume?
- What percentage of outcomes would be lost if this component disappeared?
- Is the KI ratio greater than 10?
Outputs
- Keystone Index score
- Impact-to-resource ratio documentation
Assess Substitution Difficulty
Score replaceability on a logarithmic scale reflecting real recovery costs. This is the critical differentiator—high-impact keystones with easy substitutes are manageable, but high-impact keystones with no substitutes are existential threats.
Questions to Ask
- Can this function be replaced within 30 days? (Score: 0.1)
- Can it be replaced within 6 months with significant effort? (Score: 0.5)
- Does replacement require 1-2 years and major investment? (Score: 2)
- Is this functionally irreplaceable within 5 years? (Score: 10)
Outputs
- Substitution Difficulty score (0.1-10)
- Recovery timeline estimate
- Capital requirement for substitution
Multiply for Severity
Keystone Severity = KI × Substitution Difficulty. This multiplication captures the intuition that both impact and replaceability matter—a KI-20 component with 0.1 substitution difficulty (Severity = 2) is less urgent than a KI-10 component with 10 substitution difficulty (Severity = 100).
Questions to Ask
- What is the calculated Severity score?
- How does this compare to other organizational keystones?
- Is severity rising or falling over time?
Outputs
- Keystone Severity score
- Severity ranking vs. other keystones
Prioritize Response
Map severity to protection urgency: Severity < 10 = Monitor annually. Severity 10-100 = Active redundancy planning. Severity 100-500 = Immediate protection investment required. Severity > 500 = Existential dependency requiring board-level attention and multi-year diversification program.
Questions to Ask
- What protection investments are currently in place?
- What would reduce substitution difficulty by one tier?
- What's the cost of protection vs. cost of loss?
Outputs
- Protection priority tier
- Recommended protection investments
- Board escalation if Severity > 500