June 1, 2004
Journal Article

A Markov chain analysis of fish movements to determine
entrainment zones

Abstract

The extent of the biological zone of influence (BZI) of a water withdrawal port, such as a cooling water intake or a smolt bypass, directly reflects its local effect on fish. This study produced a new technique to determine the BZI, defined as the region immediately upstream of a portal where the probability of fish movement toward the portal is greater than 90%. We developed and applied the technique at The Dalles Dam on the Columbia River, where the ice/trash sluiceway functions as a surface flow smolt bypass. To map the BZI, we applied a Markov-Chain analysis to smolt movement data collected with an active fish tracking sonar system. Probabilities of fish movement from cell to cell in the sample volume, calculated from tracked fish data, formed a Markov transition matrix. Multiplying this matrix by itself many times with absorption at the boundaries produced estimates of probability of passage out each side of the sample volume from the cells within. The BZI of a sluiceway entrance at The Dalles Dam was approximately 5 m across and extended 6-8 m out from the face of the dam in the surface layer 2-3 m deep. BZI mapping is applicable to many bioengineering efforts to protect fish populations.

Revised: September 9, 2009 | Published: June 1, 2004

Citation

Johnson G.E., J. Hedgepeth, J.R. Skalski, and A.E. Giorgi. 2004. "A Markov chain analysis of fish movements to determine entrainment zones." Fisheries Research 69, no. 3:349-358. PNNL-SA-36658.