## 4 Abundance of the Various Particulate Components
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline  & & & \multicolumn{4}{c}{**Relative Abundance \(N_{j}\) (\%)**} \\ \cline{3-6} \(\xi\) & \(\tilde{n_{r}}\) & \(\tilde{n_{i}}\) & \(\overline{\text{VIR}}\) & \(\mathbf{BAC}\) & \(\mathbf{PHY}\) & \(\mathbf{DET}\) & \(\mathbf{MIN}\) \\ \hline
2.5 & 1.103 & 7.322 \(\times\)\(10^{-4}\) & 70.96 & 5.311 & 3.650 \(\times\)\(10^{-1}\) & 11.68 & 11.68 \\
3 & 1.108 & 9.361 \(\times\)\(10^{-4}\) & 78.04 & 2.105 & 8.801 \(\times\)\(10^{-2}\) & 9.882 & 9.882 \\
3.5 & 1.119 & 6.253 \(\times\)\(10^{-4}\) & 83.03 & 0.819 & 2.391 \(\times\)\(10^{-2}\) & 8.066 & 8.066 \\
4 & 1.131 & 1.376 \(\times\)\(10^{-4}\) & 86.75 & 0.3155 & 6.902 \(\times\)\(10^{-3}\) & 6.462 & 6.462 \\
4.9 & 1.145 & 9.794 \(\times\)\(10^{-6}\) & 91.47 & 5.607 \(\times\)\(10^{-2}\) & 7.782 \(\times\)\(10^{-4}\) & 4.23 & 4.23 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Relative abundance of viruses (VIR), bacteria (BAC), phytoplankton (PHY), and organic detritus (DET) with the corresponding bulk refractive index (Equations (9) and (10)) for waters with minerals and no bloom conditions (coastal-like). \begin{table}
\begin{tabular}{c c c c c c} \hline \hline  & & & \multicolumn{4}{c}{**Abundance (Particles per m\({}^{3}\))**} \\ \cline{2-6}
**Case Study** & **VIR** & **BAC** & **PHY** & **DET** & **MIN** \\ \hline Oligotrophic-like & \(1.0265\times 10^{14}\) & \(3.5796\times 10^{11}\) & \(9.4680\times 10^{9}\) & \(9.6046\times 10^{12}\) & 0 \\ Phytoplankton bloom & \(8.5799\times 10^{13}\) & \(2.9846\times 10^{11}\) & \(6.7587\times 10^{10}\) & \(2.6455\times 10^{13}\) & 0 \\ Coastal-like & \(9.7702\times 10^{13}\) & \(3.5536\times 10^{11}\) & \(7.7733\times 10^{9}\) & \(7.2774\times 10^{12}\) & \(7.2774\times 10^{12}\) \\ [PERSON] et al. [25] & \(2.5000\times 10^{12}\) & \(1.0000\times 10^{11}\) & \(2.4759\times 10^{10}\) & \(8.2500\times 10^{13}\) & \(2.7500\times 10^{13}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Comparisons between abundances defined in the present study and abundances defined by [PERSON] et al. [25]. The hyperbolic slope \(\xi\) is 4 and N\({}_{\text{TOT}}\) is 1.1262 \(\times\)\(10^{14}\) particles per m\({}^{3}\). Figure 2: Composite PSD as derived from individual PSDs of the five considered particle groups for (**a**) the oligotrophic-like water body and (**b**) the phytoplankton bloom water body. N\({}_{\text{TOT}}\) = 1.1262 \(\times\)\(10^{14}\) particles per m\({}^{3}\) and \(\xi\) = 4. We emphasize that total chlorophyll-a concentrations are given as an indication as they depend on the abundance of phytoplankton, which in turn depends on \(N_{TOT}\) and \(\xi\). For the oligotrophic-like case study, [Chla] ranges from 0.10 for \(\xi\) = 4 to 8.4 mg m\({}^{-3}\) for \(\xi\) = 3. However, in oligotrophic waters, in situ measurements of PSD showed that \(\xi\) values are around 4. For \(\xi\) between 3.5 and 4, [Chla] is less than 1 mg m\({}^{-3}\), which is typical [Chla] in oligotrophic waters. In bloom conditions, the hyperbolic slope can be less than 4. For example, [PERSON] and [PERSON] [35] found \(\xi\) around 3.3 in bloom conditions. For \(\xi\) = 3.3, we found [Chla] of 1.92 mg m\({}^{-3}\). For the coastal case study, [Chla] is low as compared to in situ [Chla] values in coastal areas. This is because we considered a high load of minerals as compared to phytoplankton abundance.