High-production, minimal-discharge aquaponic systems and methods. The aquaponic systems separate waste water generated from fish tanks into two flow streams. In the first flow stream, suspended-waste water generated from the waste water is converted to nutrient-rich water and used for hydroponic plant growth. Nutrient-depleted water resulting from the hydroponic plant growth is fed back into fish tanks to continue the cycle. In the second flow stream, settleable solids generated from the waste water is converted to nutrient-rich sludge and used for solid or semi-solid substrate-based plant growth. Excess nutrient-rich water derived from the second flow stream is fed back into the first flow stream, thereby conserving water and nutrients within the system.