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The Determination of Minimum Flows for Sulphur Springs, Tampa

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DRAFT<br />

average daily withdrawals <strong>for</strong> two series <strong>of</strong> dates in Figure 2-24 A and B. <strong>The</strong> first<br />

pumping episode involved pumping over a four-day period during January and February<br />

2001 (Figure 2-24A). Initiation <strong>of</strong> pumping on January 31 resulted in an almost<br />

immediate drop in water levels, with the rate <strong>of</strong> decline slowing after the initial fall. <strong>The</strong><br />

response <strong>of</strong> specific conductance was not so immediate, as a steady rate <strong>of</strong> increase<br />

that totaled about 400 µmhos/cm began approximately one day after pumping began.<br />

Cessation <strong>of</strong> pumping on February 3 resulted in a quick rebound in water levels and a<br />

slower decline in specific conductance.<br />

<strong>The</strong> time series shown in Figure 2-24B is <strong>for</strong> an 8-day pumping episode during June<br />

2001. Again, water levels showed an immediate drop in response to pumping, followed<br />

by a slower, but continued, decline. Compared to the four-day winter pumping episode,<br />

in which water levels fell to 5.9 ft, (Figure 2-24A), water levels fell to 3.9 ft. after eight<br />

days <strong>of</strong> pumping in June (Figure 2-24B). Specific conductance again showed about a<br />

one-day lag, with a steady increase that totaled about 1,100 µmhos/cm over the<br />

following seven-day period. Again, cessation <strong>of</strong> pumping resulted in a rebound in water<br />

levels and a decline in specific conductance.<br />

In order to gain some insight into the effects <strong>of</strong> withdrawals from the spring, it is helpful<br />

to filter out the seasonal changes that occur in both the flow and specific conductance<br />

values <strong>for</strong> the spring. Plots <strong>of</strong> daily specific conductance values vs. day <strong>of</strong> the year are<br />

overlain <strong>for</strong> the years 2001 and 2002 in Figure 2-25. <strong>The</strong> curves <strong>for</strong> these years are<br />

very similar, reflecting the periodicity <strong>of</strong> a seasonal component. Some <strong>of</strong> the unusually<br />

large spikes in specific conductance correspond to those times that the spring pool was<br />

manually lowered.<br />

In addition to the plots <strong>for</strong> the two individual years, there is also shown a LOESS<br />

(Locally Estimated Scatter plot Smoothing) regression line <strong>of</strong> the data <strong>for</strong> the year 2001.<br />

This year was chosen simply because there were no significant manual pool lowerings<br />

during that year, although there were a noticeable number <strong>of</strong> withdrawals. <strong>The</strong> LOESS<br />

regression line bears a similarity to the seasonal pattern <strong>of</strong> average monthly values<br />

shown in Figure 2-15. It is reasonable to assume that this regression model can<br />

represent the seasonal component <strong>of</strong> specific conductance. If this assumption is valid,<br />

then by examining the residuals, or the difference between the actual data and the<br />

values predicted by the model, one could examine how other factors may influence<br />

conductance in addition to the seasonal component.<br />

<strong>The</strong> residual conductance values <strong>for</strong> 2001 are plotted in Figure 2-26 along with daily<br />

pumpage records from the springs. <strong>The</strong> pumping events have been shifted by one day.<br />

That is, today's specific conductance is plotted against the previous day’s withdrawal<br />

event. This takes into account the slight lag time <strong>of</strong> the response <strong>of</strong> the water quality to<br />

the withdrawal event. During the first half <strong>of</strong> the year when most <strong>of</strong> the withdrawal<br />

events occurred, the number <strong>of</strong> spikes in specific conductance is noticeably higher<br />

when compared to the latter half <strong>of</strong> the year. Equally obvious is the direct<br />

correspondence between the pumping events and the specific conductance spikes.<br />

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