P-boxes and probability bounds analysis have been used in many applications spanning many disciplines in engineering and environmental science, including:
Engineering design
Expert elicitation
Analysis of species sensitivity distributions
Sensitivity analysis in aerospace engineering of the buckling load of the frontskirt of the Ariane 5 launcher
ODE models of chemical reactor dynamics
Pharmacokinetic variability of inhaled VOCs
Groundwater modeling
Bounding failure probability for series systems
Heavy metal contamination in soil at an ironworks brownfield
Uncertainty propagation for salinity risk models
Power supply system safety assessment
Contaminated land risk assessment
Engineered systems for drinking water treatment
Computing soil screening levels
Human health and ecological risk analysis by the U.S. EPA of PCB contamination at the Housatonic River Superfund site
Environmental assessment for the Calcasieu Estuary Superfund site
Aerospace engineering for supersonic nozzle thrust
Verification and validation in scientific computation for engineering problems
Toxicity to small mammals of environmental mercury contamination
Modeling travel time of pollution in groundwater
Reliability analysis
Endangered species assessment for reintroduction of Leadbeater's possum
Exposure of insectivorous birds to an agricultural pesticide
Climate change projections
Waiting time in queuing systems
Extinction risk analysis for spotted owl on the Olympic Peninsula
Biosecurity against introduction of invasive species or agricultural pests
Finite-element structural analysis
Cost estimates
Nuclear stockpile certification
Fracking risks to water pollution
