BATS-1D-VAR v1.0: A One-Dimensional Variational Data Assimilation Model of the Bermuda Atlantic Time-Series Study (BATS) Site

BATS-1D-VAR (v1.0) is a variational data assimilation 1-D marine ecosystem model combining the forward model simulation and the backward model simulation for model optimization. The backward model simulation is a tangent linear adjoint version of the forward model and is derived from a variational adjoint method that optimizes model parameters to adjust model outputs towards observations.

The variational adjoint method requires four components for data assimilation that BATS-1D-VAR provides within 1) a forward model simulated by physical forcings and initial (initial conditions and model parameter guesses) and boundary conditions; 2) a cost function to evaluate misfits between the forward model results and the assimilated observations; 3) a tangent linear adjoint version of the forward model to compute the gradient of the cost function with respect to model parameters; and 4) an optimization procedure (M1QN3 3.1) to determine the direction and the optimal step size by which the model parameters should be modified to reduce the cost function based on the cost function gradient from 3). These four components are iterated sequentially to determine a set of the adjusted model parameters until present criteria are satisfied (e.g., low gradients), which then serves as an optimal numerical solution (equations with the optimized model parameters) for the final model outputs.