The supply of dissolved oxygen (DO) to salmon in sea cages depends on many interacting factors including biomass density, temperature and current speed. With other factors being equal, hypoxic conditions are more likely to arise in large cages compared to small. In this work, a mathematical model of DO in sea cages is used to analyse the effect of horizontal cage size in particular. It is shown and quantified how the DO level at key locations in the cage depend on cage radius and current speed, and the fraction of the cage volume with hypoxic conditions is estimated as a function of cage radius, current speed and temperature.

The results of this study give new insight into how oxygen conditions are affected when cage size is scaled up or down. Although conditions at actual aquaculture sites are highly variable and complex, the results can help forecast the effect of increasing cage size at existing sites, and can help guide the planning of new production sites with regard to oxygen supply.

向海水网箱中的鲑鱼供应溶解氧 (DO) 取决于许多相互作用的因素，包括生物量密度、温度和水流速度。在其他因素相同的情况下，与小笼子相比，大笼子更容易出现缺氧情况。在这项工作中，海水网箱中溶解氧的数学模型用于分析水平网箱尺寸的影响。它显示并量化了笼子中关键位置的溶解氧水平如何取决于笼子半径和当前速度，并且根据笼子半径、当前速度和温度估算了缺氧条件下笼子体积的比例。

这项研究的结果对放大或缩小笼子尺寸如何影响氧气条件提供了新的见解。尽管实际水产养殖场的条件多变且复杂，但结果可以帮助预测现有养殖场增加网箱尺寸的效果，并有助于指导新生产场地的氧气供应规划。