Enter Production Data

Formulas & How to Use The Aquaculture Productivity Calculator

Core Formulas

1. Specific Growth Rate (SGR):
SGR (%/day) = 100 ร— ( ln(Wf) - ln(Wi) ) / T

2. Total Biomass Density (Dbio):
Density (kg/m3) = Wf / V

3. Feed Conversion Ratio (FCR):
FCR = Fin / ( Wf - Wi )

Example Calculations

Scenario: A tilapia tank starts with 50 kg of stock. After 30 days, it holds 120 kg. Total feed used was 90 kg in a 10 m3 tank.

  • SGR: 100 ร— (ln(120) - ln(50)) / 30 = 2.92 %/day
  • Density: 120 kg / 10 m3 = 12.00 kg/m3
  • FCR: 90 kg / (120 kg - 50 kg) = 90 / 70 = 1.29

How to Use This Calculator

  1. Enter Biomass Data: Input the total initial weight of your stock and the final weight at the end of the period in kilograms.
  2. Define System Parameters: Enter the number of days in the culture period and the total volume of your tank or pond in cubic meters.
  3. Input Feed Data: Provide the total mass of feed (in kg) consumed by the stock during this period.
  4. Calculate: Click the button to generate the three critical aquaculture metrics instantly.

Tips for Sustainable Aquaculture

  • Monitor Water Quality: High biomass density can deplete oxygen rapidly. Ensure aeration systems are calibrated to the standing crop density calculated here.
  • Optimize Feeding Frequency: A high FCR often indicates overfeeding. Adjust feeding schedules based on the SGR to minimize waste and costs.
  • Regular Sampling: Don't wait for harvest to weigh fish. Sample weekly to get accurate intermediate weights ($W_f$) for better SGR tracking.
  • Quality Over Quantity: Using high-quality feed may cost more per bag but often results in a lower FCR and better water quality, saving money long-term.
  • Record Keeping: Keep historical logs of your SGR and FCR. A sudden drop in SGR is often the first indicator of disease or stress before mortality occurs.

About The Aquaculture Productivity Calculator

Aquaculture is one of the fastest-growing food production sectors globally, but profitability and sustainability depend entirely on precision management. The Aquaculture Productivity Calculator is an essential tool designed for fish farmers, hatchery managers, and aquatic researchers. It synthesizes raw production dataโ€”biomass, time, volume, and feedโ€”into actionable insights. By monitoring specific metrics like Specific Growth Rate (SGR) and Feed Conversion Ratio (FCR), operators can move beyond guesswork and make data-driven decisions to optimize harvest cycles and maximize profit margins.

The three metrics provided by the Aquaculture Productivity Calculator serve different operational needs. SGR (Specific Growth Rate) uses logarithmic math to track how fast the stock is growing daily; this is far more accurate than simple average daily gain because fish grow exponentially in early stages. Biomass Density is a safety metric; knowing exactly how many kilograms of fish are in every cubic meter of water helps prevent overcrowding, which is a leading cause of disease outbreaks and oxygen depletion. Finally, FCR (Feed Conversion Ratio) is the economic heartbeat of the farm. Since feed accounts for 50-70% of production costs, lowering your FCR by even a decimal point can significantly boost profitability.

Whether you are managing intensive Recirculating Aquaculture Systems (RAS), semi-intensive ponds, or marine cages, the Aquaculture Productivity Calculator adapts to your needs. It helps you benchmark your performance against industry standards set by organizations like the Food and Agriculture Organization (FAO). Furthermore, efficient feed management contributes to environmental sustainability by reducing nutrient load in effluent water, a key concern highlighted by WorldFish. By using this tool regularly, you ensure your operation remains biologically secure and economically viable.

Key Features:

  • Comprehensive Analysis: Calculates three vital metrics (SGR, Density, FCR) simultaneously from a single dataset.
  • Scientific Precision: Uses natural logarithms for SGR calculations to accurately model exponential biological growth.
  • Economic Insight: The FCR output directly correlates to cost efficiency, helping you evaluate feed brands and feeding strategies.
  • Risk Management: Biomass density calculations help you stay within safe stocking limits to prevent system crashes.
  • Historical Tracking: The built-in history feature allows you to compare performance across different tanks, ponds, or growing seasons.

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Frequently Asked Questions

What is a good Feed Conversion Ratio (FCR)?

A "good" FCR depends on the species. For Tilapia, 1.2 to 1.5 is standard. For Salmon, it can be as low as 1.1. A lower FCR is always better, as it means you are using less feed to produce the same amount of meat.

Why do we use Natural Log (ln) for SGR?

Fish and shrimp do not grow in a linear line; their growth accelerates as they get bigger (exponential growth). Using the natural logarithm accounts for this compounding effect, providing a true representation of growth velocity.

How often should I calculate Biomass Density?

Biomass density should be estimated weekly. As fish grow, the density increases even if you don't add new stock. If density exceeds the system's carrying capacity (e.g., 40kg/mยณ for some aeration systems), growth will stall and mortality risks increase.

Can I use this for shrimp farming?

Yes, the formulas for SGR, FCR, and Density are universal across aquaculture species, including shrimp (Litopenaeus vannamei), trout, catfish, and carp.