Table 1.
Model variables: their symbols, definitions and units.
| Symbol | Definition | Unit |
|---|---|---|
| Δ(t) | Thermal time within 1 d | °Cd |
| t | Time | days (d) |
| tp,i | Indices for an entity of type tp and rank i | |
| PAR interception | ||
| Aexptp,i | Exposed area of entity tp,i | m2 |
| Atottp,i | Total area of entity tp,i | m2 |
| AItp,i | Cumulative area index above entity tp,i | m2 m−2 |
| Densc | Density of culms in the field | Culm m−2 |
| kcanopy | Canopy extinction coefficient | m2 m−2 |
| ktp | Extinction coefficient of entity tp | m2 m−2 |
| Lexptp,i | Exposed length of entity tp,i | m |
| Ltottp,i | Total length of entity tp,i | m |
| PAR0 | Photosynthetic active radiation above the canopy | J m−2 d−1 |
| PARtp,i | Photosynthetic active radiation incident on entity tp,i | J m−2 d−1 |
| N mass, dry mass and photosynthetic active area | ||
| Agreentp,i | Photosynthetic area of entity tp,i | m2 |
| Nmobc | Mobile N mass in the common pool | g |
| [N]mobc | Mobile N mass concentration | g g−1 |
| Nphtp,i | Photosynthetic N mass of entity tp,i | g |
| Nremr | Root remobilizable N mass | g |
| NrstructNstructtp,i | Structural N mass of roots, entity tp,i | g |
| NtotgrainNtotrNtottp,i | Total N mass of grains, roots, entity tp,i | g |
| Mgreentp,i | Photosynthetic tissues dry mass of entity tp,i | g |
| MremrMremtp,i | Remobilizable dry mass of roots, entity tp,i | g |
| MstructrMstructtp,i | Structural dry mass of roots, entity tp,i | g |
| MtotgrainMtotrMtottp,i | Total dry mass of grains, roots, entity tp,i | g |
| N fluxes, dry mass fluxes and tissue death | ||
| DMremrDMremtp,i | Remobilizable dry matter degradation rate for roots, entity tp,i | g d−1 |
| DNphtp,i | Photosynthetic N degradation rate for entity tp,i | g d−1 |
| DNremr | Remobilizable N degradation rate for roots | g d−1 |
| EC(t) EN(t) | Effect of C and N availability within the culm on root N uptake | Dimensionless |
| [N]s | Soil N concentration | g m−3 |
| Ptp,i | Dry mass production by entity tp,i | g d−1 |
| qrqgqtp,i | Sink strengths of grains, roots, entity tp,i | Dimensionless |
| Qtp,0 | Normalizing factor for the beta function | Dimensionless |
| SMremrSMremtp,i | Remobilizable dry matter synthesis rate for roots, entity tp,i | g d−1 |
| SNremr | Remobilizable N synthesis rate for roots | g d−1 |
| SNph,phloemtp,i | Photosynthetic N synthesis rate from phloem N for entity tp,i | g d−1 |
| SNph,xylemtp,i | Photosynthetic N synthesis rate from xylem N for entity tp,i | g d−1 |
| ttinitgrainttinitrttinittp,i | Thermal time at which grains, roots, entity tp,i begin to grow | °Cd |
| Ur | Root N uptake rate per unit root mass | g g−1 d−1 |