2.3.3 Within-lake regressions
To assess whether the across-lake trends identified using mixed models
were observable within individual lakes, we performed linear regressions
separately at each lake. For each of our focal response variables (see
Table 1), we used the same model formulations from the across-lakes
analysis (i.e., the explanatory variables from Table 1 that were
selected via AICc) to perform regressions within a lake. We saved the
resulting coefficient estimates for each explanatory variable used to
predict this focal response. We then plotted the distribution of
coefficient estimates for all explanatory variables across all lakes,
and we compared the median of these distributions to the mixed effect
model coefficient estimates. For each response variable, we only
included lakes that had at least 10 years of paired data for the
response variable and all selected explanatory variables.