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Bottom Water Salinity

Summertime salinity values generally range between 0.8 to $ \approx$ 18 practical salinity units (psu) and the estuary is less saline in the spring and becomes more saline as the summer progresses  (Borsuk et al. 2001b; Luettich Jr. et al. 1999). Bottom salinity, $ S_{\text{bot}}$ (psu), depends on depth, average temperature and the distance toward the eastern-most boundary of the estuary. Let $ \zeta =
\sin\left(\frac{2\pi}{365*24}(t - 3020)\right)$ (from Eqn A.4) and let $ X$ denote the Gaussian random field (Appendix A.3.1) generated with $ \sigma_{x,S}$, $ \sigma_{y,S}$, and $ \sigma_{t,S}$ set to 1000 (m), 800 (m) and 48 (hrs). The maximum salinity in the deepest parts of the estuary is given by:

S(t)deep$\displaystyle = \begin{cases}& 8\sqrt{d_s} + 2\sqrt{d_s}(\sin(X) + 1) + 5(1+\sq...
...0 \\ & 8\sqrt{d_s} + 2\sqrt{d_s}(\sin(X) + 1) \quad : \zeta \leq 0. \end{cases}$ (A.6)

The first two terms term causes salinity to increase toward the mouth of the estuary, while if $ \zeta>0$ (which occurs between May 6 to Nov 4) a seasonal component is also added. Depth is accounted for by scaling $ S(t)_$deep:

S(t)bot$\displaystyle = S(t)_$deep$\displaystyle \left(1 - \frac{\exp{\left(-D^2/2.25\right)}}{2}\right).$ (A.7)

Thus, shallower parts of the estuary are always less saline than deeper parts.



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