Comparison of Cardinal Temperatures of Lettuce Using Bilinear, Parabolic, and Beta Distribution Functions

The objective of this study was to estimate cardinal temperatures for germination of lettuce (Lactuca sativar L.) using bilinear, parabolic, and beta distribution functions. Seeds of lettuce were germinated in a growth chamber at 7 constant temperatures: 10, 14, 16, 20, 24, 28, and $32^{\circ}C$. Four replicates of 100 seeds were placed on two layers of filter paper in a 9 cm petri-dish. Radicle emergence of 1 mm was scored as germination. The time course of germination was modeled using a logistic function. These minimum, optimum, and maximum temperatures were estimated by regression of the inverse of time to 50% germination rate against the temperature gradient. In bilinear function, minimum, optimum, and maximum temperatures were $7.9^{\circ}C$, $23.3^{\circ}C$, and $28.0^{\circ}C$, respectively. In parabolic function, minimum, optimum, and maximum temperatures were $9.7^{\circ}C$, $19.5^{\circ}C$, and $29.4^{\circ}C$, respectively. In beta distribution function, minimum, optimum, and maximum temperatures were $3.7^{\circ}C$, $20.7^{\circ}C$ and $32.0^{\circ}C$, respectively. Minimum, optimum, and maximum ranges of temperatures were $3.7{\sim}9.7^{\circ}C$, $19.5{\sim}23.3^{\circ}C$, and $28.0{\sim}32.0^{\circ}C$, respectively.

선형, 쌍곡선과 Beta 함수를 이용한 상추의 주요 온도 비교

본 연구의 목적은 선형, 쌍곡선, 베타 함수를 이용하여 상추의 주요 온도를 예측하기 위함이다. 상추 종자를 항온 생육상에서 발아시켰다. 온도처리는 $10^{\circ}C$, $14^{\circ}C$, $16^{\circ}C$, $20^{\circ}C$, $24^{\circ}C$, $28^{\circ}C$와 $32^{\circ}C$였다. 100개의 종자를 9cm 페트리디쉬에 필터페이퍼 2장을 깔고 4반복 실시하였다. 유근이 1mm 나왔을 때를 발아로 하였다. 시간에 따른 발아율은 로지스틱 함수로 계산하였다. 최저, 최적, 최고 온도는 50% 발아한 시점의 역수를 온도에 따른 함수로 표기하여 나타내었다. 선형 함수의 경우, 최저, 최적, 최고 온도는 각각 $7.9^{\circ}C$, $23.3^{\circ}C$, $28.0^{\circ}C$였으며, 쌍곡선 함수의 경우, 최저, 최적, 최고 온도는 각각 $9.7^{\circ}C$, $19.5^{\circ}C$, $29.4^{\circ}C$였으며, 베타 함수인 경우, 최저, 최적, 최고 온도는 각각 $3.7^{\circ}C$, $20.7^{\circ}C$, $32.0^{\circ}C$였다. 최저, 최적, 최고 온도 범위는 각각 $3.7{\sim}7.9^{\circ}C$, $19.5{\sim}23.3^{\circ}C$, $28.0{\sim}32.0^{\circ}C$이었다.