Filtering Rate Model of Farming Oyster, Crassostrea gigas with effect of Water Temperature and Size

수온과 크기의 영향을 고려한 양식굴, Crassostrea gigas의 여수율 모형

Filtering rates of Crassostrea gigas were experimentally investigated with reference to effects of water temperature and size. Absorptiometric determinations of filtering rates with oysters being fed diatom Chaetoceros calcirtans were carried out in a closed system. Optical density of 675nm in path length 100mm cell used as the indication of food particles absorption was appeared directly In proportion with the concentration of diatom pigment $chlorophyll-\alpha$. In the closed system where $C_0$ is $OD_{675}$ at initial time 0, $C_t$, at time t, and Z is the decreasing coefficient of OD as meaning of instantaneous removal speed, then $C_t=C_0{\cdot} e^{-2t}$, $Z=In(C_t/C_0)/t$. On the assumption that the filtering rate is constant, then removal rate per unit time (d) is $d=-e^{-z}$. If t is used to time unit of hour (hr), the filtering rate (FR) in I/hr is given by $FR=V{\cdot}d=V(1-e^{-z})$, where V is the water volume (I) of the experimental vessel. Filtering rate increased as exponential function with increasing temperature while not over critical limit. The critical temperature for filtering rate was assumed to be between $28^{\circ}C$ and $29^{\circ}C$. And the weight exponent for filtering rate is 0.223. The model formula derived from the results as FR, $Ihr^{-1}$ = $Exp(0.208{\cdot}T-4.324){\cdot} (DW)^{0.223}$ (T<29 $^{\circ}C)$ where T is water temperature $(^{\circ}C

본 연구는 수온과 크기의 영향을 포함하는 양식굴 C. gigas의 단위시간당 여과수량 산출식을 제시하였다. 여수율의 측정은 폐쇄순환계에서 지표물질의 농도 저감속도를 측정하는 간접법으로 수행되었으며, 지표물질은 배양한 규조류 Chaetoceros calcitrans를 사용하였고, 이 규조의 $chlorophyll-\alpha$양에 직선적으로 비례하는 675nm의 흡광도 값으로 부터 농도감소계수 Z를 구하고, Z를 감소율로 변환하여 수량 V에서 여수율 FR을 산출하였다. $Z=-In(\frac{C_t}{C_0})/t$, $FR=V{\codt}(1-e^{-z})$ 양식굴의 여수율은 다음과 같이 수온 및 개체건조 육중량을 변수로 하는 지수함수식으로 나타낼 수 있다. 여수율은 수온과 더불어 지수함수적으로 증가하며, 상한측 임계온도는 $28-29^{\circ}C$ 사이에 있는 것으로 여겨진다. $\frac{FR}{DW}$, 1/hr/g, dry meat wt = $Exp(0.208{\cdot}T-4.324){\cdot}(DW)^{-0.7771}$, FR, 1/hr/animal = $Exp(0.208{\cdot}T-4.324){\cdot}(DW)^{0.223}$