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Trophic state index

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Through Nitrogen, Phosphorus and Limiting factor

The TSI of a water body is rated on a scale from zero to one hundred. Under the TSI scale, water bodies may be defined as:

  • oligotrophic (TSI 0–40, having the least amount of biological productivity, "good" water quality);
  • mesotrophic (TSI 40–60, having a moderate level of biological productivity, "fair" water quality); or
  • eutrophic to hypereutrophic (TSI 60–100, having the highest amount of biological productivity, "poor" water quality).

The quantities of nitrogen, phosphorus, and other biologically useful nutrients are the primary determinants of a water body's TSI. Nutrients such as nitrogen and phosphorus tend to be limiting resources in standing water bodies, so increased concentrations tend to result in increased plant growth, followed by corollary increases in subsequent trophic levels. Consequently, trophic index may sometimes be used to make a rough estimate of biological condition of water bodies.

Carlson's Trophic State Index

Carlson's index was proposed by Robert Carlson in his 1977 seminal paper, "A trophic state index for lakes". It is one of the more commonly used trophic indices and is the trophic index used by the United States Environmental Protection Agency. The trophic state is defined as the total weight of biomass in a given water body at the time of measurement. Because they are of public concern, the Carlson index uses the algal biomass as an objective classifier of a lake or other water body's trophic status. According to the US EPA, the Carlson Index should only be used with lakes that have relatively few rooted plants and non-algal turbidity sources.

Index variable

Because they tend to correlate, three independent variables can be used to calculate the Carlson Index: chlorophyll pigments, total phosphorus and Secchi depth. Of these three, chlorophyll will probably yield the most accurate measures, as it is the most accurate predictor of biomass. Phosphorus may be a more accurate estimation of a water body's summer trophic status than chlorophyll if the measurements are made during the winter. Finally, the Secchi depth is probably the least accurate measure, but also the most affordable and expedient one. Consequently, citizen monitoring programs and other volunteer or large-scale surveys will often use the Secchi depth. By translating the Secchi transparency values to a log base 2 scale, each successive doubling of biomass is represented as a whole integer index number. The Secchi depth, which measures water transparency, indicates the concentration of dissolved and particulate material in the water, which in turn can be used to derive the biomass. This relationship is expressed in the following equation:

(1z)(ln⁡I0Iz)=kw+αC
where z = the depth at which the disk disappears,
I0 is the intensity of light striking the water's surface,
Iz is about 10% of I0 and is considered a constant,
kw is a coefficient for the attenuation of light by water and dissolved substances,
α is treated as a constant with the units of square meters per milligram and
C is the concentration of particulate matter in units for milligrams per cubic meter.

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