Feed Conversion Ratio Simulator: Aquaculture Growth Model

simulator intermediate ~12 min
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FCR ≈ 1.6 — 1.6 kg of feed produces 1 kg of fish at 28°C

At 28°C with 35% protein feed at 3% body weight per day, tilapia grow from 20g to approximately 480g in 180 days with a feed conversion ratio of 1.6.

Formula

FCR = Total feed consumed / Total weight gain
SGR = (ln(W_final) - ln(W_initial)) / days × 100
Growth = W₀ · Math.pow(e, SGR·t) (exponential phase approximation)

The Economics of Fish Growth

Feed is the single largest operating cost in aquaculture, accounting for 40–60% of total production expenses. The feed conversion ratio — kilograms of feed required to produce one kilogram of fish — determines whether a farm is profitable or bankrupt. Fish are remarkably efficient converters of feed to flesh, outperforming cattle (FCR 6–8) and even poultry (FCR 1.7–2.0) because they are cold-blooded and neutrally buoyant, spending no energy on body heat or fighting gravity.

Temperature and Metabolic Rate

As ectotherms, fish metabolic rate roughly doubles for every 10°C increase in water temperature (Q₁₀ ≈ 2). This means fish in warm tropical waters eat more, grow faster, and reach market size sooner — but only within their species-specific thermal optimum. Beyond the optimum, stress hormones suppress appetite and growth, and FCR deteriorates rapidly as energy is diverted to physiological survival mechanisms.

Protein: The Growth Engine

Protein quality and quantity are the primary nutritional determinants of fish growth. Unlike mammals, fish can efficiently use protein directly for energy, but this is wasteful — each gram of excess protein produces 0.34 grams of ammonia via deamination in the liver. Modern feed formulation uses the ideal protein concept, balancing essential amino acids to maximize retention and minimize nitrogenous waste.

Growth Curves and Prediction

This simulation models fish growth as a temperature-dependent exponential curve modified by feed rate and protein content. Adjust parameters to explore how feeding strategy affects FCR, growth rate, and feed cost. Notice how the optimal feeding rate shifts with temperature — overfeeding at low temperatures wastes feed and pollutes water, while underfeeding at high temperatures leaves growth potential unrealized.

FAQ

What is a good feed conversion ratio in aquaculture?

FCR varies by species: salmon typically achieve 1.1–1.3, tilapia 1.4–1.8, and catfish 1.6–2.2. An FCR of 1.5 means 1.5 kg of feed produces 1 kg of fish. Lower is better — feed represents 40–60% of total production costs.

How does temperature affect fish growth?

Fish are ectotherms — their growth rate is governed by water temperature. Each species has an optimal thermal range where feed conversion is most efficient. For tilapia, the optimum is 26–30°C. Outside this range, metabolism either slows (cold) or redirects energy to stress responses (heat).

Why does protein content matter in fish feed?

Protein provides the amino acids essential for muscle growth. Fish require 25–50% crude protein depending on species and life stage. However, excess protein beyond metabolic needs is catabolized for energy, producing ammonia waste that pollutes water and wastes expensive feed ingredients.

What is specific growth rate (SGR)?

SGR = (ln(W_final) - ln(W_initial)) / days × 100, expressed as %/day. It measures growth independent of fish size. Juvenile tilapia may achieve SGR of 3–5%/day, declining to 0.5–1%/day as they approach market size.

Sources

Embed

<iframe src="https://homo-deus.com/lab/aquaculture/feed-conversion/embed" width="100%" height="400" frameborder="0"></iframe>
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