# Growing Degree Day

## Contents

## 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 (T_{base}), 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:

where:

T_{t} = temperature at time t

T_{base} = temperature below which plant growth is zero.

In addition to the value of T_{base}, the selection of t=0 will also change the value of accumulated GDD:

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

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

In addition to selection of T_{base}, T_{cap} 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.

One method of approximating GDD for each day is the average of the daily maximum and minimum temperatures above T_{base}.

Before calculating the average:

- Any temperature below T
_{base}is set to T_{base}. - Any temperature above T
_{cap}is set to T_{cap}.

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:

- Are the base temperatures (T
_{base}) the same? - Are the start dates (t
_{0}) for the accumulation the same? - Are the equations used to calculate the daily GDD the same?
- Are the temperatures used in degrees Celsius or Fahrenheit?

## 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