Chapter 21. Box Models
Published Online: 8 JUN 2005
DOI: 10.1002/0471649643.ch21
Copyright © 2003 John Wiley & Sons, Inc. All rights reserved.
Book Title
Environmental Organic Chemistry
Additional Information
How to Cite
Schwarzenbach, R. P., Gschwend, P. M. and Imboden, D. M. (2005) Box Models, in Environmental Organic Chemistry, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471649643.ch21
Publication History
- Published Online: 8 JUN 2005
- Published Print: 23 AUG 2002
ISBN Information
Print ISBN: 9780471350538
Online ISBN: 9780471649649
- Summary
- Chapter
Keywords:
- linear model;
- one-box model;
- two-box model;
- nonlinear model;
- eigenvalue and eigenfunction;
- lake model
Summary
After a general discussion of the role of mathematical models in environmental science, the one-box mass-balance model is derived and exemplified using the cycling of chemicals in lakes. The dynamic modeling concept is extended to two boxes (e.g., stratified lakes) for the case of one or more chemicals. As an advanced topic, the dynamic properties of linear n-box models are discussed by using the concept of eigenvalues and eigenfunctions.