Growing Degree Day

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Introduction

Plants grow in a cumulative stepwise manner which is strongly influenced by ambient temperature. Growing Degree Days (GDD), also called Growing Degree Units (GDU) or Heat Units (HU), are based on the observation that within limits, plants grow faster when warm and more slowly when cold. Below a base temperature (Tbase), the plant is dormant and little growth occurs. Since growth depends on the accumulation of specific quantities of heat, by accumulating Growing Degree Days it is possible to predict when events such as bud break (nectar flows) will occur during a growing season regardless of differences in temperatures from year to year.

A simple theoretical formula for GDD at time t is:

GDD integral.png

where:
Tt = temperature at time t
Tbase = temperature below which plant growth is zero.


In addition to the value of Tbase, the selection of the start date (t=0) will also change the value of accumulated GDD. Common start dates are:

  1. Coldest day of the year
  2. Shortest day of the year
  3. Arbitrary Gregorian calendar date (e.g. January 1)


Each plant species has it's own upper air temperature threshold, Tcap. At temperatures above Tcap the plant does not grow any faster. Tcap varies for each species.

In addition to selection of Tbase, Tcap and and when t=0, different methods exist for calculating heat units depending on a) the crop or biological organism of interest and b) the whim or personal preference of the researcher.

NOAA Modified Growing Degree Day Formula

The method most commonly used in the U.S. for approximating GDD for phenology is the formula first suggested by the National Oceanic and Atmospheric Administration. The “modified growing degree day formula” calculates daily accumulation of GDD’s as the average daily temperature minus 50° F.

This method of approximating GDD for each day is the average of the daily maximum and minimum temperatures above Tbase.

GDD average.png


Before calculating the average:

  • Any temperature below Tbase is set to Tbase.
  • Any temperature above Tcap is set to Tcap.

If the mean daily temperature is lower than the base temperature then GDD=0.

Some warm temperate and tropical plants have significant requirements for days above 30 °C to mature fruit or seeds.

When comparing GDD numbers from different sources, one must consider:

  1. Are the base temperatures (Tbase) and the cap temperatures (Tcap) the same?
  2. Are the start dates (t0) for the accumulation the same?
  3. Are the equations used to calculate the daily GDD the same?
  4. Are the temperatures used in degrees Celsius or Fahrenheit?

Flowering times of plants

This table is from Wikipedia.

Common name Latin name Number of growing degree days baseline 10 °C
Witch-hazel Hamamelis spp. begins flowering at <1 GDD
Red maple Acer rubrum begins flowering at 1-27 GDD
Forsythia Forsythia spp. begin flowering at 1-27 GDD
Sugar maple Acer saccharum begin flowering at 1-27 GDD
Norway maple Acer platanoides begins flowering at 30-50 GDD
White ash Fraxinus americana begins flowering at 30-50 GDD
Crabapple Malus spp. begins flowering at 50-80 GDD
Common Broom Cytisus scoparius begins flowering at 50-80 GDD
Horsechestnut Aesculus hippocastanum begin flowering at 80-110 GDD
Common lilac Syringa vulgaris begin flowering at 80-110 GDD
Beach plum Prunus maritima full bloom at 80-110 GDD
Black locust Robinia pseudoacacia begins flowering at 140-160 GDD
Catalpa Catalpa speciosa begins flowering at 250-330 GDD
Privet Ligustrum spp. begins flowering at 330-400 GDD
Elderberry Sambucus canadensis begins flowering at 330-400 GDD
Purple loosestrife Lythrum salicaria begins flowering at 400-450 GDD
Sumac Rhus typhina begins flowering at 450-500 GDD
Butterfly bush Buddleia davidii begins flowering at 550-650 GDD

SQL calculation of GDD

Centigrade
Tbase = 10
Tmax  = 30


SET @gdd_total:=0;
SELECT
  q1.doy,
  q1.gdd,
  round(@gdd_total := @gdd_total + q1.gdd) as gdd_tot
FROM
 (SELECT DAYOFYEAR(DATE_FORMAT(`hive_observation_time_local`, '%Y-%m-%d')) AS doy,
  (least(greatest(max(wx_temp_c),10),30) - least(greatest(min(wx_temp_c),10),30))/2 AS gdd
  from HIVE_DATA 
  where hive_id=10 group by DATE_FORMAT(`hive_observation_time_local`, '%Y-%m-%d') ) AS q1



SELECT hive_id, DAYOFYEAR(DATE_FORMAT(`hive_observation_time_local`, '%Y-%m-%d')) AS doy,
  (least(greatest(max(wx_temp_c),10),30) - least(greatest(min(wx_temp_c),10),30))/2 AS gdd
  from HIVE_DATA group by DATE_FORMAT(`hive_observation_time_local`, '%Y-%m-%d'), hive_id



References

  1. Rana SS and RS Rana. 2014. Advances in crop growth and productivity. Department of Agronomy, CSK Himachal Pradesh Krishi Vishvavidyalaya, Palampur, pg. 181-186
  2. Wikipedia Growing Degree Day (GDD)
  3. UMASS Extension Landscape, Nursery and Urban Forestry IPM Tools Cornell University
  4. F. Adnan Akyüz and Joel K. Ransom Growing Degree Day Calculation Method Comparison between Two Methods in the Northern Edge of the US Corn Belt North Dakota State University, Fargo, ND