Water surface reaeration can be a source or a sink for Dissolved Oxygen (DO) depending on the difference between the water surface and the air. It is computed using a first order function based on wind speed, water temperature, and elevation.
DOₛ = Kₐ₀(Cₛ - DOₛᵤᵣꜰ)/Z
Dissolved Oxygen increases in the daylight due to photosynthesis and decreases at night due to respiration from fish, phytoplankton, and nitrification processes. The calculations for these consumptions are below:
Fᴿ = 2014.45 + 2.75 Wₙ - 165.2 x Tₜ + 0.007 x Tₜ² - 0.21 x Wₙ x Tₜ
DOₚᴿ = -1.133 + 0.0038 x SDD + 0.000014 x SDD² + 0.081 x Tₜ - 0.000749 x Tₜ² - 0.00035 x SDD x Tₜ
Dₒₙᴿ = 4.57 x kₙᴿ x Nᴿ / V
Sediment respiration rates and oxidation rates of organic matter are dependent on the water temperature relative to a reference temperature.
DOₛₑₜ = Kₛₑₛ x θ x (Tₜ - Tᵣₑₜ) / Z
DOₘ = Kₒₘ x θ x (Tₘₐₘ - Tₘ) / Z