p4

p4/knee_point_report.txt

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+================================================================================
+MULTI-OBJECTIVE PARETO KNEE POINT ANALYSIS
+Time - Energy - Environment Optimization
+================================================================================
+
+================================================================================
+1. PARETO DATA RANGE
+================================================================================
+  Completion Time: 101 - 200 years
+  Energy: 15720 - 65177 PJ
+  CO2: 846 - 6393 Mt
+  Elevator Fraction: 54.2% - 100.0%
+
+================================================================================
+2. KNEE POINT DETECTION RESULTS
+================================================================================
+
+  Max Distance (3D):
+    Completion Time: 101 years
+    Energy: 65177 PJ
+    CO2 Emissions: 6393 Mt
+    Elevator Fraction: 54.2%
+    Rocket Sites Used: 10
+    Annual CO2: 63.3 Mt/yr
+
+  Kneedle (Time-CO2):
+    Completion Time: 186 years
+    Energy: 15842 PJ
+    CO2 Emissions: 859 Mt
+    Elevator Fraction: 99.9%
+    Rocket Sites Used: 1
+    Annual CO2: 4.6 Mt/yr
+
+  Kneedle (Time-Energy):
+    Completion Time: 186 years
+    Energy: 15842 PJ
+    CO2 Emissions: 859 Mt
+    Elevator Fraction: 99.9%
+    Rocket Sites Used: 1
+    Annual CO2: 4.6 Mt/yr
+
+  Second Derivative:
+    Completion Time: 186 years
+    Energy: 15842 PJ
+    CO2 Emissions: 859 Mt
+    Elevator Fraction: 99.9%
+    Rocket Sites Used: 1
+    Annual CO2: 4.6 Mt/yr
+
+  Marginal Benefit:
+    Completion Time: 189 years
+    Energy: 15720 PJ
+    CO2 Emissions: 846 Mt
+    Elevator Fraction: 100.0%
+    Rocket Sites Used: 0
+    Annual CO2: 4.5 Mt/yr
+
+  Weighted (Time Priority):
+    Completion Time: 186 years
+    Energy: 15842 PJ
+    CO2 Emissions: 859 Mt
+    Elevator Fraction: 99.9%
+    Rocket Sites Used: 1
+    Annual CO2: 4.6 Mt/yr
+
+  Consensus (Median):
+    Completion Time: 186 years
+    Energy: 15842 PJ
+    CO2 Emissions: 859 Mt
+    Elevator Fraction: 99.9%
+    Rocket Sites Used: 1
+    Annual CO2: 4.6 Mt/yr
+
+================================================================================
+3. RECOMMENDED SOLUTION
+================================================================================
+
+  Based on consensus of multiple knee detection methods:
+  
+  RECOMMENDED CONFIGURATION:
+  ├── Completion Time: 186 years
+  ├── Total Energy: 15842 PJ
+  ├── Total CO2: 859 Mt
+  ├── Elevator Fraction: 99.9%
+  ├── Rocket Sites: 1 (low-latitude priority)
+  ├── Total Fuel: 80.0 Mt
+  ├── Stratospheric H2O: 2.2 Mt
+  └── Annual CO2: 4.6 Mt/yr
+  
+  TRADE-OFF ANALYSIS:
+  ├── vs Min Time (101yr): 
+  │   +85 years, 
+  │   -5534 Mt CO2
+  │
+  └── vs Min CO2 (200yr):
+      -14 years,
+      +14 Mt CO2
+
+
+================================================================================
+4. INTERPRETATION
+================================================================================
+
+  The recommended knee point at 186 years represents the optimal
+  trade-off between:
+  
+  - TIME: Not the fastest, but 85 years longer gives significant benefits
+  - ENERGY: 15842 PJ (moderate consumption)
+  - ENVIRONMENT: 859 Mt CO2 (substantial reduction from max)
+  
+  Key insight: Beyond ~186 years, the marginal environmental 
+  benefit of extending timeline decreases significantly. This is the 
+  "diminishing returns" point.
+  
+  Recommendation: Target 186-year completion with 100% 
+  elevator transport and 1 low-latitude rocket sites.
+
+================================================================================