A generalized nonlinear tempeature response function for some growth and developmental parameters in kiwifruit (Actinidia deliciosa (A. Chev.) C. F. Liang & A. R. Ferguson)

Abstract

Temperature is a major factor that affects metabolic processes in living organisms. Thermal time has been widely used to account for the effects of temperature on crop growth and development. However, the thermal time approach has been criticized because it assumes a linear relationship between the rate of crop growth or development and temperature. The response of the rate of crop growth and development to temperature is nonlinear. The objective of this study was to develop a generalized nonlinear temperature response function for some growth and developmental parameters in kiwifruit (Actinidia deliciosa (A. Chev.) C. F. Liang & A. R. Ferguson). The nonlinear function has three coefficients (the cardinal temperatures), which were 0ºC, 25ºC, and 40ºC. Data of temperature response of relative growth rate, relative leaf area growth, net photosynthesis rate, and leaf appearance rate in kiwifruit (female cv. Hayward) at two light levels, which are from published research, were used as independent data for evaluating the performance of the nonlinear and the thermal time functions. The results showed that the generalized nonlinear response function is better than the thermal time approach, and the temperature response of several growth and developmental parameters in kiwifruit can be described with the same response function.

A temperature response function for modeling leaf growth and development of the African violet (Saintpaulia ionantha Wendl.)

“…As shown in this study, the response of leaf growth and development to temperature in African violet can be described by a generalized nonlinear function. These results agree with STRECK (2003), who was also able to describe the temperature response of several growth and developmental (1993) and FAUST & HEINS (1994), respectively. Observed LAR data are for plants grown at four photosynthetic photon flux densities (PPFD): PPFD = 1 is at 1 mol m -2 day -1 , PPFD = 4 is at 4 mol m -2 day -1 , PPFD = 7 is at 7 mol m -2 day -1 , and PPFD = 10 is at 10 mol m -2 day -1 .…”

“…There are several functions that can describe the temperature response of biological processes (LANDSBERG, 1977). The beta function used by WANG & ENGEL (1998) to describe the response of development to temperature in wheat (Triticum aestivum L.), by STRECK (2002b) to describe the response of node appearance rate in muskmelon (Cucumis melo L.), and by STRECK (2003) to describe the temperature response of several growth and developmental parameters in kiwifruit, was used in this study to describe the temperature response of leaf appearance rate (LAR) and leaf elongation rate (LER) in African violet. The temperature function [f(T)] varies from 0 to 1 and is defined as:…”