Technically yes, but long-term cohabitation is strongly discouraged. The main issues include:
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Uneven Feeding: Large koi tend to overeat and become fat, while small koi may not get enough food and fail to grow properly.
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Stress and Injury: The movement and chasing behavior of large koi can cause stress or physical harm to smaller ones.
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Disease Risk: Small koi have weaker immunity and are more susceptible to pathogens carried by larger koi.
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Poor Aesthetics: A significant size difference creates a visually chaotic appearance.
If you must keep them together, note the following:
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The size difference should not exceed a 2:1 ratio (e.g., if the largest koi is 50 cm, the smallest should be at least 25 cm).
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Set up multiple feeding points or use a combination of floating and sinking feed.
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Add hiding spots (e.g., ceramic pots, rock crevices) to provide refuge for smaller koi.
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Enhance filtration, as mixed-size groups often require increased feeding.

A Better Approach:
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Raise small koi (under 20 cm) separately until they reach at least 25 cm before introducing them to the main pond.
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Maintain separate ponds or tanks based on size, such as a "grow-out pond" for juveniles and a "display pond" for mature koi.
One‑Line Advice:
Short‑term mixing is manageable, but long‑term balance is difficult. Separating koi by size is better for both their health and visual appeal.