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Calcimator

Plankton Biomass Calculator

Calculate plankton cell density and carbon biomass from net tow or water sample counts using standard oceanographic methods.

About this calculator

This calculator turns a microscope cell count from a small subsample into a full estimate of plankton density and carbon biomass for the water you actually sampled. The first step scales up: it multiplies the cells you counted by the ratio of total concentrated sample volume to subsample volume examined, giving the total cells present in the whole sample. Dividing that by the volume of seawater originally filtered through the net yields cell density in cells per liter (and, dividing by 1000, cells per milliliter) — the standard units used in oceanographic reporting. Biomass conversion then applies a two-step chain common in plankton ecology: average cell biovolume in cubic micrometers is multiplied by a carbon-to-biovolume conversion factor (defaulting to 0.11 pg C/µm³, the typical value for diatoms; dinoflagellates run closer to 0.22) to get carbon mass per cell, which is then scaled by cell density and unit-converted from picograms to micrograms.

The resulting µg C/L figure is numerically identical to mg C/m³, a unit equivalence worth knowing since both appear in the literature. A rough chlorophyll-a estimate is also derived by dividing carbon biomass by 50, the commonly cited carbon-to-chlorophyll ratio for phytoplankton — useful as a sanity check but not a substitute for direct chlorophyll extraction. Accuracy depends heavily on getting the subsample truly representative and on choosing a cell-volume estimate that matches the actual taxa present, since biovolume can vary by orders of magnitude between diatoms and dinoflagellates.

Inputs

fl oz
fl oz
gal

Results

Cell density (cells/L)

1,250

Cell density (cells/mL)1.25
Total cells in sample125,000
Carbon biomass (µg C/L)0.07
Carbon biomass (mg C/m³)0.07
Est. Chl-a (µg/L)0
How to Use This Calculator
  1. Enter the number of cells counted under the microscope in the subsample aliquot.
  2. Input the subsample volume examined (mL) and the total concentrated sample volume (mL).
  3. Enter the water volume filtered by the net or filter, in liters.
  4. Optionally adjust the average cell biovolume (µm³) and the carbon-to-biovolume conversion factor (pg C/µm³) for your taxa.
  5. Review cell density (cells/L and cells/mL), total cells in the sample, and carbon biomass (µg C/L, equivalent to mg C/m³), plus the estimated chlorophyll-a concentration.

How the result changes with Subsample volume (mL)

Subsample volume (mL)Cell density (cells/L)
0.52,500
0.751,667
1.5833
2.5500

What each input means

Cells counted in subsample
Number of plankton cells counted under the microscope in the subsample aliquot.
Subsample volume (mL)
Volume of the subsample aliquot examined (e.g., Sedgwick-Rafter cell = 1 mL).
Total sample volume (mL)
Total volume of the concentrated sample after net tow or filtration.
Water volume filtered (L)
Volume of seawater that passed through the plankton net or filter.
Avg cell volume (µm³)
Average biovolume per cell in cubic micrometers. Small diatoms ~100-500, large diatoms ~1000-50000.
C conversion (pg C/µm³)
Carbon-to-biovolume conversion factor. Typical: 0.11 pg C/µm³ for diatoms, 0.22 for dinoflagellates.

What each result means

Cell density (cells/L)
Estimated plankton cell concentration per liter of seawater.
Cell density (cells/mL)
Estimated plankton cell concentration per milliliter.
Total cells in sample
Extrapolated total cell count in the concentrated sample.
Carbon biomass (µg C/L)
Estimated phytoplankton carbon biomass per liter.
Carbon biomass (mg C/m³)
Equivalent biomass in mg carbon per cubic meter (same value as µg C/L).
Est. Chl-a (µg/L)
Rough chlorophyll-a estimate assuming C:Chl ratio of 50:1.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Cells counted in subsample = 250, Subsample volume (mL) = 1, Total sample volume (mL) = 500, Water volume filtered (L) = 100 = 6 input(s) provided
  2. Calculate Cell density
    Cell density = totalCellsInSample / waterFilteredL
    1250 = 1250
  3. Calculate Cell density
    Cell density = cellsPerLiter / 1000
    1.25 = 1.25
  4. Calculate Total cells in sample
    Total cells in sample = cellsCounted * concentrationFactor
    125000 = 125000

Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does the subsample volume I examined matter so much to the final cell density?

The calculator scales your raw microscope count up by the ratio of total concentrated sample volume to subsample volume examined — if you only looked at 1 mL out of a 500 mL sample, every cell you counted stands in for 500 cells in the full sample. That means any counting error or non-representative subsample gets multiplied by that same factor in your final density.

Why are the carbon biomass figures in µg C/L and mg C/m³ reported as the same number?

These units are dimensionally equivalent — a microgram of carbon per liter of water is numerically identical to a milligram per cubic meter — so the calculator reports both outputs as the same value on purpose. Both units show up in oceanographic literature, so it's worth recognizing the equivalence rather than treating them as two separate results.

How much does the carbon-to-biovolume conversion factor change my results?

Carbon biomass is directly proportional to this factor, so switching from the diatom default (0.11 pg C/µm³) to the dinoflagellate value (0.22 pg C/µm³) doubles your reported carbon biomass for the exact same cell counts and cell volumes. Getting this factor right for your dominant taxa matters just as much as getting the cell count right.

Can I use the chlorophyll-a estimate instead of doing a lab extraction?

No — it's a rough figure obtained by dividing carbon biomass by 50, a commonly cited carbon-to-chlorophyll ratio for phytoplankton, so it's useful as a sanity check on your biomass numbers but not a replacement for direct chlorophyll extraction and spectrophotometry, since the true C:Chl ratio varies with species, light history, and nutrient status.

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