  In this paper we introduce a semi-analytical model for bathymetry, water
turbidity and bottom composition; which is primarily based on the physics-based
model, HOPE, of Lee et al. Unlike the model of Lee, which was originally
designed to use hyperspectral imagery, our model is specifically designed to
use multispectral satellite imagery. In particular, we adapt to the greatly
decreased spectral resolution by introducing temporal and spatial assumptions
on the depth and water turbidity. We validate the extensions to the Lee et al
model with a 260 km2 case study in the area of the Murion Islands off Western
Australia, where we compare the atmospherically-corrected LANDSAT-8 derived
bathymetry against a 2011 single-beam sonar survey by Transport Western
Australia. The model validates well against the single-beam sonar survey, with
R^2 = 0.85, a mean absolute error of 1.17 m and a mean relative error of 7.52%.
This indicates the model could be widely applicable to LANDSAT-8 imagery.
