A Mechanistic Model for Secchi Disk Depth,Driven by Light Scattering Constituents

An optics theory-based mechanistic model for Secchi disk depth (Z _SD) is advanced, tested, and applied for Cayuga Lake, NY. Robust data sets supported the initiative, including for (1) Z _SD, (2) multiple light attenuation metrics, most importantly the beam attenuation (c) and particulate scattering (b _p) coefficients, and (3) measures of constituents responsible for contributions to b _p by phytoplankton (b _o) and minerogenic particles (b _m). The model features two serially connected links. The first link supports predictions of b _p from those for b _o and b _m. The second link provides predictions of Z _SD based on those for b _p, utilizing an earlier optical theory radiative transfer equation. Recent advancements in mechanistically strong estimates of b _m, empirical estimates of b _o, and more widely available bulk measurements of c and b _p have enabled a transformation from a theory-based conceptual to this implementable Z _SD model for lacustrine waters. The successfully tested model was applied to quantify the contributions of phytoplankton biomass, and minerogenic particle groups, such as terrigenous clay minerals and autochthonously produced calcite, to recent b _p and Z _SD levels and dynamics. Moreover, it has utility for integration as a submodel into larger water quality models to upgrade their predictive capabilities for Z _SD.