title: Growing degree hours - a simple, accurate, and precise protocol to approximate growing heat summation for grapevines.
abstract: Despite its low accuracy and consistency, growing degree days (GDD) has been widely used to approximate growing heat summation (GHS) for regional classification and phenological prediction. GDD is usually calculated from the mean of daily minimum and maximum temperatures (GDDmm) above a growing base temperature (T gb). To determine approximation errors and accuracy, daily and cumulative GDDmm was compared to GDD based on daily average temperature (GDDavg), growing degree hours (GDH) based on hourly temperatures, and growing degree minutes (GDM) based on minute-by-minute temperatures. Finite error, due to the difference between measured and true temperatures above T gb is large in GDDmm but is negligible in GDDavg, GDH, and GDM, depending only upon the number of measured temperatures used for daily approximation. Hidden negative error, due to the temperatures below T gb when being averaged for approximation intervals larger than measuring interval, is large in GDDmm and GDDavg but is negligible in GDH and GDM. Both GDH and GDM improve GHS approximation accuracy over GDDmm or GDDavg by summation of multiple integration rectangles to reduce both finite and hidden negative errors. GDH is proposed as the standardized GHS approximation protocol, providing adequate accuracy and high precision independent upon T gb while requiring simple data recording and processing.
authors.affiliation: Viticulture and Enology Research Center, California State University, 2360 E. Barstow Avenue, M/S VR 89, Fresno, CA, 93740, USA. sanliang@csufresno.edu.
authors.forename: S
authors.initials: S
authors.lastname: Gu
mesh_terms: D002140:California; D012621:Seasons; D013696:Temperature; D013997:Time Factors; D027843:Vitis / Q000254:growth & development*
keywords: Finite error; GDD; GDH; Hidden negative error; Rectangular integration