STOCHASTIC OPTIMIZATION FOR LAKE EUTROPHICATION MANAGEMENT.pdf

RC22663 (W0212-039) December 6, 2002 Mathematics IBM Research Report Stochastic Optimization for Lake Eutrophication Management Alan King IBM Research Division Thomas J. Watson Research Center P.O. Box 218 Yorktown Heights, NY 10598 Laszlo Somlyody Budapest University of Technology and Economics Budapest, Hungary Roger J.-B. Wets University of California Davis, California Research Division Almaden - Austin - Beijing - Haifa - India - T. J. Watson - Tokyo - Zurich LIMITED DISTRIBUTION NOTICE: This report has been submitted for publication outside of IBM and will probably be copyrighted if accepted for publication. It has been issued as a Research Report for early dissemination of its contents. In view of the transfer of copyright to the outside publisher, its distribution outside of IBM prior to publication should be limited to peer communications and specific requests. After outside publication, requests should be filled only by reprints or legally obtained copies of the article (e.g. , payment of royalties). Copies may be requested from IBM T. J. Watson Research Center , P. O. Box 218, Yorktown Heights, NY 10598 USA (email: reports@). Some reports are available on the internet at /library/CyberDig.nsf/home . STOCHASTIC OPTIMIZATION FOR LAKE EUTROPHICATION MANAGEMENT Alan King?, La?szlo? Somlyo?dy?, and Roger J-B Wets?. September 9, 2002 1 INTRODUCTION Man-made (or artificial) eutrophication has been considered as one of the most serious water quality problems of lakes during the last 25-40 years. Increasing discharges of domestic and industrial waste water and the intensive use of crop fertilizers — all leading to growing nutrient loads of the recipients — can be mentioned among the major causes of this undesirable phenomenon. The typ- ical symptoms of eutrophication are among others sudden algal blooms, water coloration, floating water plants and debris, excreation of toxic substances caus- ing taste and odor problems of drinking water and fish kills.