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In addition, there is potential for physiological distress if a fish swims into a localized warm area of the water. Because of water's high heat capacity, water temperatures do not change rapidly under natural conditions. Thus, fish have not evolved the ability to adapt to rapid temperature fluctuations.
Good question and the answer lies in a very peculiar property of water. As you guessed, the density of water of water increases as the temperature is lowered, but below 4 o C this trend is reversed. Here is a graph from. It shows the density of liquid water vs. temperature.