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Statistical trend analysis and classification
of Lake Erie with size-fractionated primary production changes
A.H. El-Shaarawi and M. Munawar*
National Water Research Institute, Environment
Canada and Great Lakes Laboratory for Fisheries and Aquatic
Sciences, Great Lakes Laboratory for Fisheries and Aquatic
Sciences Fisheries and Oceans Canada, Canada Centre for Inland
Waters, Burlington. Ontario, Canada *Corresponding author:
Fisheries and Oceans, GLLFAS, 867 Lakeshore Road, Burlington,
Ontario L7R4A6, Canada; E-mail: munawarm@dfo-mpo.gc.ca
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Abstract
The article uses exploratory and change-point
methods to investigate changes in the level and spatial pattern
of size-fractionated primary productivity in Lake Erie during the
summers of 1992 and 1996. In July 1992 and 1996 primary productivity
measurements were made at 44 and 34 sampling stations, respectively,
and separated into three size classes (<2 µm, 2 to 20µm, >20µm).
Spatially, the overall productivity increased gradually from east
to west, with the medium size class showing the highest rate of
increase. The 1996 productivity was higher than that of the 1992
in almost all size classes. The 1996 level appears to be nearly
proportional to the 1992 level for the medium and larger size classes.
For the small size class, the increase occurs only in the western
region of the Lake. These findings were supported graphically and
by statistical modelling. Using geographical coordinates of sampling
locations as explanatory variables, change-point analysis is used
to separate the lake into regions such that each region has its
own regression regime. The findings indicate that the characteristics
of the east basin extend beyond its traditional physical boundaries
and into the central basin. This analysis provides a more accurate
characterization of the lake than the traditional practice of assuming
that lake is divided into three homogeneous basins. Here the lake
is divided into regions where the concentration within each region
is allowed to vary but according to its own regression model
Keywords: eutrophication, exploratory analysis,
regression, change-point analysis, latitude, longitude, Great Lakes
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