## 4 Abundance of the Various Particulate Components
For phytoplankton, [PERSON] and [PERSON] made a distinction between prochlorophytes, cyanobacteria, ultrananoplankton, larger nanoplankton, and microplankton. Over these different phytoplankton groups, N\({}_{PHY}\) ranges between 1.0 \(\times\) 10\({}^{11}\) for picoplankton to 3.0 \(\times\) 10\({}^{5}\) for microplankton. They used N\({}_{PHY}\)\(\geq\) 5 \(\times\) 10\({}^{11}\) particles per m\({}^{3}\) when there is a bloom of phototrophic picoplankton. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & & & \multicolumn{4}{c}{**Relative Abundance \(N_{j}\) (\%)**} \\ \cline{4-7} \(\xi\) & \(\tilde{n_{r}}\) & \(\tilde{n_{i}}\) & **VIR** & **BAC** & **PHY** & **DET** \\ \hline
2.5 & 1.041 & \(6.195\times 10^{-4}\) & 51.96 & 3.760 & 1.995 & 42.29 \\
3 & 1.041 & \(1.048\times 10^{-3}\) & 61.91 & 1.599 & 0.6165 & 35.88 \\
3.5 & 1.042 & \(1.313\times 10^{-3}\) & 69.84 & 0.6575 & 0.1922 & 29.31 \\
4 & 1.043 & \(1.362\times 10^{-3}\) & 76.18 & 0.2650 & 0.0600 & 23.49 \\
4.9 & 1.044 & \(1.194\times 10^{-3}\) & 84.55 & 0.0499 & \(7.367\times 10^{-3}\) & 15.40 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Relative abundance of viruses (VIR), bacteria (BAC), phytoplankton (PHY), and organic detritus (DET) with the corresponding bulk refractive index (Equations (9) and (10)) for the water body with phytoplankton bloom conditions and no minerals (phytoplankton bloom). \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & & & \multicolumn{4}{c}{**Relative Abundance \(N_{j}\) (\%)**} \\ \cline{4-7} \(\xi\) & \(\tilde{n_{r}}\) & \(\tilde{n_{i}}\) & **VIR** & **BAC** & **PHY** & **DET** \\ \hline
2.5 & 1.040 & \(4.280\times 10^{-4}\) & 78.85 & 5.349 & 0.4059 & 15.39 \\
3 & 1.042 & \(7.570\times 10^{-4}\) & 84.74 & 2.120 & 0.1002 & 13.04 \\
3.5 & 1.043 & \(1.034\times 10^{-3}\) & 88.50 & 0.8244 & 0.0281 & 10.64 \\
4 & 1.045 & \(9.931\times 10^{-4}\) & 91.15 & 0.3178 & 0.0084 & 8.528 \\
4.9 & 1.047 & \(6.718\times 10^{-4}\) & 94.35 & \(5.651\times 10^{-2}\) & 0.0010 & 5.588 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Relative abundance of viruses (VIR), bacteria (BAC), phytoplankton (PHY), and organic detritus (DET) with the corresponding bulk refractive index (Equations (9) and (10)) for the water body with no bloom conditions and no minerals (oligotrophic-like). An indication of the total chlorophyll-a concentration is given for the oligotrophic-like, phytoplankton bloom, and coastal-like case studies. For that purpose, we considered the median intracellular chlorophyll-a values given in [PERSON] et al. [40]. These authors used Brewin et al. model [41] to calculate the fractional contributions of pico, nano, and microplankton to total phytoplankton chlorophyll biomass. Then, they derived the intracellular chlorophyll-a per cell for each size class from the results of cell enumeration (microscope counts and flow cytometry) and the chlorophyll-a concentration for that size class given by the Brewin et al. model. The computed median intracellular chlorophyll-a values were 0.004, 0.224, and 26.78 pg Chla cell\({}^{-1}\) for pico, nano, and microplankton, respectively. In our study, we multiplied the corresponding intracellular chlorophyll-a content by the numerical abundance of pico-, nano-, and micro-plankton as derived from the PSD and we summed the chlorophyll-a concentration per class to obtain the total chlorophyll-a concentration ([Chla], units mg m\({}^{-3}\)) (Table 7).