Preface | p. xiii |
Introduction to Environmental Problems: Transport, Burial, Monitoring, Spillage, Leakage, and Cleanup | p. 1 |
Transport Problems | p. 6 |
Burial/Storage Problems | p. 6 |
Monitoring Problems | p. 7 |
Spillage Problems | p. 8 |
Leakage Problems | p. 8 |
Summary | p. 9 |
Contracts and Decisions | p. 11 |
General Development | p. 11 |
Parameter Uncertainties | p. 13 |
Numerical Example | p. 16 |
Discussion | p. 17 |
Some Properties of a Log-Normal Distribution | p. 18 |
Exact Statements | p. 18 |
Approximate Statements | p. 20 |
Multiple-Parameter Distributions | p. 21 |
Transport and Burial Hazards of Radioactive Waste | p. 23 |
Introduction | p. 23 |
Risk and Catastrophe in the Transport of Radioactive Waste | p. 24 |
Statistical Measures | p. 25 |
Analysis of Alternate Actions: Limited Spill | p. 28 |
Analysis of Alternate Actions: Catastrophic Spill | p. 31 |
Parameter Uncertainty Effects | p. 33 |
Means and Variances | p. 34 |
Relative Importance | p. 35 |
Relative Contribution of Uncertain Parameters in Subsurface Hydrology | p. 36 |
Introduction | p. 37 |
Physical Problem | p. 37 |
Theoretical Framework | p. 40 |
Results and Discussion | p. 42 |
Summary | p. 43 |
Approximations for Cumulative Probability | p. 45 |
Utility Theory and Working-Interest Optimization in a Hazardous Waste Transport and Burial Opportunity | p. 47 |
Introduction | p. 47 |
Working-Interest Evaluation | p. 48 |
Exponential Utility Function | p. 50 |
Parabolic Utility Function | p. 53 |
Applications | p. 54 |
Summary | p. 59 |
Limiting Expressions for Certainty Equivalent | p. 59 |
Parabolic Approximation to Exponential Utility | p. 62 |
Catastrophic Events, Insurance, and Unilateral Regulatory Changes | p. 65 |
Introduction | p. 65 |
Catastrophic Loss in Exploration Assessments | p. 67 |
Catastrophic Loss after Oil Is Found | p. 71 |
Insurance for Hydrocarbon Exploration and Development Risks | p. 73 |
General Catastrophic Loss Conditions | p. 74 |
Mathematical Considerations | p. 74 |
Numerical Illustration | p. 78 |
Insurance Coverage After Oil is Found | p. 79 |
General Considerations | p. 79 |
Numerical Illustration | p. 81 |
Insurance against Catastrophic Loss for Environmental Projects | p. 82 |
Optioning against Potential Regulatory Changes | p. 85 |
Risk Retention | p. 86 |
Evaluation of Risk Reserve Fund | p. 88 |
Projects Awarded at One Time Exposed to Liability L | p. 88 |
Projects Awarded at Different Times Exposed to Liability L | p. 90 |
Projects of Variable Magnitude Awarded at Different Times and Exposed to Liability L | p. 93 |
Numerical Illustrations | p. 95 |
Summary | p. 97 |
Limiting Risk Using Fractional Working Interest | p. 99 |
Introduction | p. 99 |
General Methods | p. 100 |
Cozzolino's Formula | p. 101 |
Hyperbolic Risk Aversion | p. 104 |
Numerical Illustration | p. 105 |
Results from Cozzolino's Formula | p. 106 |
Results from the Hyperbolic Formula | p. 110 |
Comparison of Results | p. 110 |
Negative Expected Value | p. 113 |
Summary | p. 114 |
Limiting Risk Within a Consortium and Foreign Government Projects | p. 117 |
Introduction | p. 117 |
RAV Estimates with Uncertainties | p. 118 |
General Considerations | p. 118 |
Numerical Illustrations | p. 119 |
Evaluation of Participation in a Consortium of Companies | p. 128 |
Evaluation of Participation in Foreign Government Projects | p. 132 |
Summary | p. 136 |
Corporate Involvement in Multiple Environmental Projects | p. 139 |
Introduction | p. 139 |
Deterministic Portfolio Balancing | p. 140 |
Relative Importance | p. 140 |
Profitability | p. 140 |
Costs | p. 141 |
Budget Constraints | p. 142 |
High Budget | p. 142 |
Low Budget | p. 142 |
Finding the Best Working Interests | p. 142 |
The Parabolic RAV Formula | p. 144 |
The Exponential RAV Formula | p. 146 |
Deterministic Numerical Illustrations | p. 148 |
A Budget of $20 Million | p. 149 |
A Budget of $11 Million | p. 149 |
A Budget of $4 Million | p. 150 |
Probabilistic Portfolio Balancing | p. 150 |
Probabilistic Numerical Illustrations | p. 151 |
Variable Value | p. 151 |
Variable Value and Cost | p. 154 |
Variable Value, Cost, and Success Probability | p. 155 |
Very Low Budget | p. 155 |
Low to High Budget Comparison | p. 157 |
Comparison of Parabolic and Exponential RAV | p. 161 |
Deterministic Results | p. 161 |
Statistical Results | p. 162 |
Transport and Burial of Wastes | p. 164 |
Multiple Projects | p. 169 |
Exposure and Expenditure Constraints | p. 171 |
Corporate Exposure | p. 171 |
Cost Expenditure | p. 172 |
Optimal Working Interest | p. 172 |
Parabolic Utility Function | p. 175 |
Application | p. 171 |
Summary | p. 178 |
Weighted RAV Optimization | p. 180 |
Apportionment of Cost Overruns to Hazardous Waste Projects | p. 183 |
Introduction | p. 183 |
Project Costs and Cost Overruns | p. 184 |
Numerical Illustrations | p. 186 |
Identical Projects | p. 186 |
Unequal Projects | p. 187 |
Arbitrary Numbers of Projects | p. 188 |
Summary | p. 190 |
Bayesian Updating of Toxic Leakage Scenarios | p. 193 |
Introduction | p. 193 |
Theoretical Considerations | p. 193 |
General Concepts of Bayesian Updating | p. 194 |
Numerical Illustration | p. 196 |
Updating the Likelihood of a State Being Correct | p. 196 |
Updating the Probability of Leakage | p. 197 |
Bayesian Decision Criteria | p. 199 |
Optimal Expected Value Bayes Decision | p. 199 |
Expected Opportunity Loss | p. 203 |
Influence of the Length of the Observation Record on Decision Making | p. 205 |
Influence of the Form of the Loss Function on Decision Making | p. 206 |
Summary | p. 210 |
Multiple Transport of Hazardous Material: Probabilities of Profitability | p. 211 |
Introduction | p. 211 |
Statistical Measures for Individual Transport Trips | p. 211 |
Statistics for a Single Event | p. 212 |
Statistics for Multiple Events | p. 214 |
Bayesian Updating of Probabilities | p. 215 |
Residual Trips and Probability Updating | p. 217 |
Budget Buyout Considerations | p. 217 |
Numerical Illustrations | p. 218 |
Multiple Transport before a Catastrophe Occurs | p. 218 |
Ship Disaster and Probability Updating | p. 219 |
Buyout Price and Minimum Acceptable Chance | p. 219 |
Summary | p. 220 |
Maximizing Profit for a Toxic Waste Site Monitoring System | p. 223 |
Introduction | p. 223 |
Scientific Considerations | p. 224 |
Financial Considerations | p. 225 |
Numerical Illustration | p. 228 |
Summary | p. 229 |
Option Payments for Future Information | p. 231 |
Introduction | p. 231 |
Maximum Option Payments | p. 232 |
Mean Value Assessment of Option Costs | p. 234 |
Probabilistic Assessment of Option Costs | p. 235 |
Numerical Illustrations | p. 236 |
Mean Value Assessment of Option Costs | p. 237 |
Probabilistic Assessment of Option Costs | p. 237 |
Summary | p. 238 |
The Worth of Resolving Uncertainty for Environmental Projects | p. 241 |
Introduction | p. 241 |
Representation of Risk and Uncertainty | p. 244 |
Application to the Question: Is Value Added? | p. 247 |
Summary | p. 249 |
Scientific Uncertainty in Environmental Problems: Models and Data | p. 251 |
Introduction | p. 252 |
Continuous Measurements of Hydraulic Head | p. 253 |
Weighting Factors | p. 253 |
Parameter Determination | p. 255 |
Illustrative Example | p. 255 |
Spatial Changes and Partitions | p. 260 |
Discrete Measurements of Hydraulic Head | p. 261 |
Stochastic Determinations | p. 262 |
General Considerations | p. 262 |
Parameter Determination | p. 263 |
Weighting Factors | p. 265 |
Numerical Illustation | p. 266 |
Averaging Measures for Hydrodynamic Problems | p. 268 |
Specific Hydrodynamic Flow Model | p. 269 |
Discussion | p. 274 |
Summary | p. 275 |
General Development of Procedures for N Models | p. 276 |
Continuous, Perfect Measurements | p. 276 |
Discrete, Perfect Data | p. 277 |
Stochastic Measurements | p. 278 |
Individual Parameter Determination Procedure | p. 281 |
Measures of Model and Observational Mismatch | p. 283 |
Human, Water, Chemical, Biological and Radiocative Risks | p. 287 |
Introduction | p. 288 |
Natural Environmental Problems | p. 288 |
Anthropogenic Environmental Problems | p. 289 |
Examples of Anthropogenic Environmental Problems | p. 290 |
Resources and Environmental Issues | p. 297 |
Remediation of Environmental Problems | p. 300 |
Rules for Addressing Environmental Problems | p. 301 |
Epilogue | p. 303 |
Phase I, II, and III Site Assessments | p. 305 |
Brief Overview of the Federal Statutes of the United States | p. 379 |
References | p. 423 |
Index | p. 431 |
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