Definitions of Symbols Used in Model Equations
| Symbol | Definition |
|
a |
Non-Algal Turbidity (m-1) = 1/S - b B , minimum value = 0.08 1/m] |
| b | Algal Light Extinction Coef = Slope of 1/Secchi vs. Chl-a [default = 0.025 1/m] |
| As | Surface Area of Segment (km2) |
| Ac | Cross-Sectional Area of Segment (km*m) |
| A1 | Intercept of Phosphorus Sedimentation Term |
| A2 | Exponent of Phosphorus Sedimentation Term |
| B1 | Intercept of Nitrogen Sedimentation Term |
| B2 | Exponent of Nitrogen Sedimentation Term |
|
B |
Chlorophyll a Concentration (mg/m3) |
| Bm | Reservoir Area-Weighted Mean Chlorophyll a Concentration (mg/m3) |
| Bp | Phosphorus-Potential Chlorophyll a Concentration (mg/m3) |
| Bx | Nutrient-Potential Chlorophyll a Concentration (mg/m3) |
| D | Dispersion Rate (km2/year) |
| Dn | Numeric Dispersion Rate (km2/year) |
|
E |
Diffusive Exchange Rate between Adjacent Segments (hm3/year) |
| Fs | Summer Flushing Rate = (Inflow + Precip -Evaporation)/Volume (year-1) |
| Fin | Tributary Inorganic N Load/Tributary Total N Load |
| Fot | Tributary Ortho-P Load/Tributary Total P Load |
| G | Kinetic Factor Used in Chlorophyll a Model |
| HODv | Near-Dam Hypolimnetic Oxygen Depletion Rate (mg/m3-day) |
| K | Calibration Factor (Global Factor x Segment Factor) * |
| KD | Calibration Factor for Longitudinal Dispersion |
| L | Segment Length (km) |
| MODv | Near-Dam Metalimnetic Oxygen Depletion Rate (mg/m3-day) |
|
N |
Reservoir Total Nitrogen Concentration (mg/m3) |
|
Ni |
Inflow Total Nitrogen Concentration (mg/m3) |
| Nin | Inflow Inorganic N Concentration (mg/m3) |
| Nia | Inflow Available N Concentration (mg/m3) |
| Ninorg | Inorganic Nitrogen Concentration (mg/m3) |
| Norg | Organic Nitrogen Concentration (mg/m3) |
| P | Total Phosphorus Concentration (mg/m3) |
| Pi | Inflow Total P Concentration (mg/m3) |
| Pio | Inflow Ortho-P Concentration (mg/m3) |
| Pia | Inflow Available P Concentration (mg/m3) |
| Portho | Ortho-Phosphorus Concentration (mg/m3) |
| PC-1 | First Principal Component of Trophic Response Measurements |
| PC-2 | Second Principal Component of Trophic Response Measurements |
| Q | Segment Total Outflow (hm3/year) |
| QS | Surface Overflow Rate (m/year) |
| S | Secchi Depth (m) |
| T | Hydraulic Residence Time (years) |
| TSIp | Carlson Trophic State Index (Phosphorus) |
| TSIc | Carlson Trophic State Index (Chlorophyll a) |
| TSIs | Carlson Trophic State Index (Transparency) |
| U | Mean Advective Velocity (km/year) |
| V | Total Volume (hm3) |
| W | Mean Segment Width (km) |
| Wp | Total Phosphorus Loading (kg/year) |
| Wn | Total Nitrogen Loading (kg/year) |
| Xpn | Composite Nutrient Concentration (mg/m3) |
| Z | Total Depth (m) |
| Zx | Maximum Total Depth (m) |
| Zh | Mean Hypolimnetic Depth of Entire Reservoir (m) |
| Zmix | Mean Depth of Mixed Layer (m) |
* Separate calibration factors are defined
for each response variable (P, N, B, S, Norg, TP-Ortho P, HODv, MODv).
Each is
the product of a global & segment-specific
value.
K values (normally = 1) can be adjusted to calibrate the model to observed
reservoir data.