Dachamatics

Accumulated temperature and seasonal shift

Heat accumulated in the current year, the date of a sustained transition through a temperature threshold, and the shift of the season relative to the multi-year mean.

Quantities

SymbolQuantityUnit
T_max, T_mindaily extremes of air temperature at 2 m°C
T̄daily mean temperature, T̄ = (T_max + T_min) / 2°C
T_bbase temperature (threshold)°C
Ssum of active temperatures°C·day
Δseasonal shift relative to the multi-year meandays

Formulas

Sum of active temperatures

S = Σ T̄_i  over all days i for which T̄_i ≥ T_b

Active temperatures are summed. The sum of effective temperatures is defined as Σ (T̄_i − T_b) and takes smaller values at the same threshold; comparison with published tables requires the definitions to agree.

Sustained transition through the threshold

the first day of a run of 5 consecutive days with T̄_i ≥ T_b

Seasonal shift

Δ = date S̄ is reached in the mean year − date S̄ is reached this year

S̄ is the sum accumulated by the current date averaged over the archive years.

Expected harvest date

start date + days to maturity − Δ

A calendar constant is shifted. The crop's heat requirement is not computed: the required degree-day sum is absent from the registries in use.

Thresholds

A threshold of 10 °C is used for the plot — the boundary of active vegetation under which agroclimatic sum maps are published. For a crop its own minimum growth temperature from ECOCROP is used (the absolute minimum temperature field): 7 °C for cabbage, 15 °C for watermelon. Where ECOCROP holds no record, the crop-level calculation is not performed.

Input data

Daily temperature extremes are taken from the ERA5 reanalysis archive through open-meteo for the plot's coordinates. The mean is computed over complete archive years; an incomplete year is excluded.

Applicability and limitations

Sources

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