California Water and Environmental Modeling Forum

              Promoting Excellence and Consensus in Water and Environmental Modeling

 

www.cwemf.org   ·   (916) 607-0435

 


 

 

Technical Workshop

on

Identifying and Managing Uncertainty

 in Ground and Surface Water Models

 

A one-day course for managers, regulators and those who rely on the outcomes of models.

 

Monday, April 28, 2003

9:00 a.m. to 4:00 p.m.

 

Joe Serna Jr. Cal-EPA Building

 “Sierra” Hearing Room (2nd Floor)

1001 “I” Street, Sacramento, CA

Internet audio broadcast at: www.cwemf.org

 

No-charge for CWEMF members; $50 for non-members; Advanced registration not required.

 

 

Background

The time has passed when modeling of environmental processes can take place without an analysis of the uncertainty associated with model predictions. Furthermore, nowhere is the requirement for model predictive uncertainty analysis greater than where models are used in situations of disputation. No longer can a model that pretends to be a crystal ball, and purports to provide a unique and unequivocal prediction of environmental system behavior, stand up in court. Nor can such a model have the integrity required to form the basis for negotiation between different stakeholder groups.

 

Those who build models, and those who depend on them, should understand the strengths and limitations of computer simulation of environmental processes. The use of modern environmental models in conjunction with sophisticated parameter estimation and predictive analysis software allows environmental data to be processed, and hypotheses to be tested, like never before. However, part of modern modeling practice must be the recognition and accommodation of situations where two or more differing (sometimes conflicting) hypotheses cannot be rejected based on the currently available dataset - for example, the location of contaminant sources, or the outcome of a certain watershed management strategy. Recognition and definition of the limits of a model’s ability to make definitive predictions will allow dispute resolution to take place constructively on the basis of quantified predictive uncertainty, rather than destructively and acrimoniously on the basis of conflicting and misleading models, each with flimsy facades of certainty, brought to the courtroom or negotiating table by different stakeholder groups.

 

It is through the process of model parameterization that an off-the-shelf software package (such as MODFLOW or HSPF) becomes a purpose-built environmental simulator for a particular aquifer, basin or watershed. Parameter assignment is often achieved through model calibration – the process of “tuning” a model to a particular environmental system. However the constraints on parameters imposed by the calibration process are often only weak (even when data appears to be plentiful); hence the extent of parameter nonuniqueness is often frighteningly high. Even moderate uncertainties in parameter values can, under some circumstances, be translated into large uncertainties in model predictions. Unless this uncertainty is quantified, the modeling process is incomplete at best and misleading at worst.

 

This unique course attempts to explain how uncertainty is introduced to a model through the parameterization and calibration process, and the steps that can be undertaken to recognize this uncertainty, and incorporate it into model predictions The course is aimed at the entire spectrum of those who work with models – those who build them, those who manage (or are managed) on the basis of model results, those who takes models to court. No prior modeling experience is required; however even seasoned modelers will find this course interesting and informative as this often-neglected aspect of modeling is discussed in detail with many practical examples.

 

Who Should Attend?

Anyone with an interest in groundwater or surface water modeling will benefit from this course. The principals, rather than the details, will be presented; so no modeling experience is required. Regulators, managers, lawyers, and modelers themselves will all learn from this part of the course.

 

Principal Instructor -- Dr. John Doherty

John Doherty is the author of PEST (www.sspa.com/PEST/), the industry standard in environmental model calibration software.  John has been in the water industry for over 25 years, first as a geophysicist and then as a modeler. He has worked in the public, private and education sectors. He now directs his own company, Watermark Numerical Computing, which undertakes software development and advanced modeling for mining, environmental, agricultural, water supply and remediation applications. He also works as a senior research scientist for the University of Queensland where he and his students undertake research into methods of environmental model predictive uncertainty analysis.  John has had over eight years experience in presenting short courses all over the world. Course material is presented clearly and descriptively with many practical examples and illustrations. He attempts to create a learning environment that is both educational and enjoyable.  Note: Two case studies will be presented by Jim Rumbaugh (Environmental Simulations International) and Matt Tonkin (Ph.D. student of John Doherty).

 

Course Outline

 


Introduction (Introduction.ppt; 2 MB)

·         Why modeling is not like gazing into a crystal ball.

·         The “reasonable assumption” problem - why many model are built on foundations of sand.

·         Some embarrassing model failures.

·         The allure of complexity.

·         Why complexity often hinders, rather than assists, use of the modeler’s intuition in the modeling process (and why that intuition is so important).

·         Rigid models vs. flexible models.

 

 

Very Brief Introduction to Statistics (Statistics.ppt; 0.5 MB)

·         Mean and standard deviation

·         Normal and other distributions

·         Independent random variables

·         Correlated random variables

·         Covariance matrix and functions of the covariance matrix

·         Parameter insensitivity

 

Model Parameterization (Calibration.ppt; 1.1 MB)

·         What is “calibration”

·         Why a model needs to be calibrated

·         Very short theory of parameter estimation

·         Characterization of model parameter uncertainty

·         Why it is easier to estimate combinations of parameters than individual parameters

·         Examples of parameter nonuniqueness in ground and surface water modeling

·         Complexity and the need for extra parameters

 

Regularization – inferring the detail that must exist to explain the data (Regularisation.ppt; 3.9 MB)

·         What regularization means

·         The desirability of parameter uniqueness

·         Manual regularization

·         Software-based regularization

·         Pilot points as a method of spatial parameterization

·         Lumped parameters as a regularization device

·         Examples of regularization in geophysical, groundwater and surface water modeling

·         The cost of regularization – loss of system detail and (possibly large) bias in model predictions

·         The fundamental choice in environmental modeling – uniqueness or over-parameterization

·         Why many modeling exercises are doomed from the moment of inception.

 

Methods of predictive uncertainty analysis (Uncertainty.ppt; 3.7 MB)

·         Sensitivity analysis

·         Predictive analysis while recognizing calibration constraints

·         Linear uncertainty propagation – UCODE and MODFLOW2000

·         Nonlinear uncertainty propagation

·         PEST’s predictive analyzer

·         Examples of nonlinear predictive analysis from ground water modeling

·         Examples of nonlinear predictive analysis from surface water quantity and quality  modeling

·         Predictive analysis as a calibration constraint

·         Modeling as a means of hypothesis testing

 

Accommodation of unknown detail – the repercussions of detail that might exist

·         Why important detail may exist which is beyond the ability of the calibration process to infer

·         The repercussions of this detail for model predictive uncertainty analysis

·         The importance of intuitive knowledge in limiting the range of predictive uncertainty

·         Monte Carlo analysis

·         Imposing calibration constraints in Monte Carlo based parameterization.

·         Markov Chain Monte Carlo analysis

·         Nonlinear predictive analysis in over-parameterized systems

·         Examples of predictive analysis in over-parameterized systems

 

Appropriate complexity and other matters (Final.ppt; 2.5 MB)

·         Costs and benefits of model complexity

·         Basic theory of model complexity

·         Complexity and uncertainty

·         Examples – ground and surface water modeling

·         Defining what is achievable in modeling through predictive uncertainty analysis

·         Optimization of data acquisition

 

Some Examples from the Real World

A number of examples, based on experience gained by the course instructors, will be presented to illustrate the need for the accommodation of uncertainty in the presentation of model results, and how this was achieved in real-world modeling contexts.

 

·         Parameterization, Uncertainty and “Real World” Modeling (UncertaintyMain.ppt; 52 KB)

·         Hampton Bays (HamptonBays.ppt; 0.6 MB)

·         Uniondale, NY (Uniondale.ppt; 0.3 MB)


·         Water Supply Study (WaterSupply.ppt; 1.6 MB)

 


Directions

Building: From I-5, take the “J’ Street offramp heading East and turn left on 10th Street.  Proceed North for one block.  Parking: Lots located at 11th and I ($1 each ½ hour, $12 daily max), 13th and I ($unknown), and 8th and I ($1.50 each hour); 10-hour meters (uses up to 14 quarters) are located on 10th St. between H & I, on G St. between 11th & 12th, and on F St. between 7th & 10th.  Room: Go up the stairs to the 2nd floor and do a U-turn turning right; the Sierra Hearing Room is straight ahead.

 

Special Accommodations

The Cal EPA Building “Sierra” Hearing Room is accessible to persons with disabilities.  Individuals who require special accommodations are requested to call Adrian Perez at 916-341-5880 at least five working days before the workshop date.  TTY users may contact the California Relay Service at 1-800-735-2929 or voice line at 1-800-735-2922.

 

Additional Pest Training

A three-day course entitled “Model Calibration and Predictive Uncertainty Analysis using PEST,” which includes hands-on applications, is being offered April 29 to May 1, 2003 in San Francisco, CA.  For more information, please visit the Groundwater Resources Association of California website at: www.grac.org/pest/.