Frost threshold and critical bud temperatures
The temperature below which the coming night is called dangerous for a particular planting. The threshold comes from one of three sources, and the source is stated alongside the value.
Quantities
| Symbol | Quantity | Unit |
|---|---|---|
T_min | forecast daily minimum air temperature | °C |
T_lim | threshold below which a night is called a frost | °C |
T₁₀ | temperature killing 10% of buds at the named stage | °C |
T₉₀ | temperature killing 90% of buds at the named stage | °C |
T_ecocrop | killing temperature during early growth | °C |
τ | time elapsed since the bud stage was marked | days |
τ_max | period for which a stage mark is counted | days |
Formulas
Source scale conversion
T_C = (T_F − 32) · 5 / 9
The critical bud temperature table is printed in degrees Fahrenheit and stored in them. The result is given to one decimal place: rounding to whole degrees would merge 24 and 25 °F into one value, that is, two distinct source rows.
Threshold selection
T_lim = T₁₀, if a stage is marked and τ < τ_max
T_ecocrop, if the registry has a record
0 °C otherwiseThe steps replace one another and are not summed. The value τ_max = 14 days is set by the application and is stated on screen.
Warning condition
T_min < T_lim
The inequality is strict: a night whose minimum equals the threshold is not called a frost. The next two forecast days are examined, and the first one satisfying the condition is named.
Three sources of the threshold
Zero degrees is the definition of the word frost and carries no statement about the plant. The killing temperature during early growth is taken from FAO ECOCROP and is filled in for twenty of the forty catalogue crops; the spread is substantial — pear −9 °C, garlic −5 °C, cabbage −1 °C. The bud killing temperature applies to a fruit tree at a named stage of development and is taken from the MSU Extension table, which derives from Washington State University bulletins and, for tart cherry, from MSU research.
Definition of the tabulated values
T₁₀ and T₉₀ are the temperatures at which, after thirty minutes of exposure, 10% and 90% of buds are killed respectively. The threshold is set by T₁₀; T₉₀ is shown alongside and takes no part in the comparison. The proportion of bud loss that costs the crop differs by species: the source states that cherries require well over half the buds to survive, while apples, pears and peaches need 10–15%.
The stage is entered by hand
The bud stage cannot be derived from the available data. Annotated iNaturalist observations give a monthly histogram over two phases, whereas the path from the first stage to full bloom takes three to five weeks and has nine stages. A growing degree day calculation would require the number of degree days to each stage, which is absent from every registry in use.
How long a mark counts
A mark is counted for 14 days, after which the threshold returns to the previous step. The value is set by the application. Early stages are hardier than late ones (apple: 15 °F against 28 °F), so a stale mark lowers the threshold and suppresses the warning, whereas no mark at all restores the previous behaviour.
Coverage
The table covers all six fruit trees in the catalogue: apple (9 stages), pear (8), apricot (8), sweet cherry (9), tart cherry (8) and plum (8). The figures are transcribed from the MSU edition and checked row by row against the USU Extension edition (IPM-012-11): matched by stage name, every value agreed except one — 90% bud kill for tart cherry at full bloom, where the editions differ by 1 °F.
Applicability and limitations
- The tabulated values apply to a 30 min exposure; a night minimum lasts longer.
- Cultivar and rootstock are not taken into account; the registries in use carry no cultivar hardiness data.
- The table describes bud kill, not damage to the tree as a whole.
- Nothing is computed between stages: the source publishes values at discrete points.
- The stage is entered by a person and counted for 14 days.
- For tart cherry the post bloom stage is not printed in the source.
- For crops that are not fruit trees the threshold is unchanged.
- The forecast is examined two days ahead; a more distant minimum is not considered.
- No warning is issued under cover.
Sources
- Longstroth, M., 2018. Critical Spring Temperatures for Tree Fruit Bud Development Stages. Michigan State University Extension; происхождение строк названо у самой таблицы — яблоня WSU EB0913, груша EB0978, черешня EB1128, абрикос EB1240, вишня MSU Research Rpt. 220. Прочитано по зеркалу Midwestern Regional Climate Center, Purdue University — full text open Open
- Murray, M., 2020. Critical Temperatures for Frost Damage on Fruit Trees. Utah State University Extension и Utah Plant Pest Diagnostic Laboratory, IPM-012-11; издание сверки, и оттуда же определение величины — гибель 10 % и 90 % почек после 30 мин выдержки — full text open Open
- FAO. ECOCROP — crop environmental requirements database. Food and Agriculture Organization of the UN, CC BY 4.0 — full text open Open
- Open-Meteo. Weather forecast and historical weather API. open-meteo.com, CC BY 4.0 — full text open Open