Summary
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1.
A formula is derived, in the setting of a distributed-parameter population model, for the net production of a population structured in weight, in the case of continuous reproduction.
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2.
The expression is consistent with Thienemann's definition of production.
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3.
No separate estimates of growth and reproduction are needed as input, although the result is formally equal to the sum of both processes. This is illustrated on data ofCyclops sp., where moreover an already existing graphical method of estimating secondary productivity (Winberg) could be simplified considerably.
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4.
In the case of a death-rate equally distributed over weight, the production-biomass ratio equals average birth-rate per individual.
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5.
A more synecological set-up will involve the less tractable case of simultaneously accounting for age dependence (Sinko and Streifer equation) and the incorporation of non-linearities.
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Aldenberg, T. Theoretical considerations regarding the calculation of production in the case of continuous reproduction. Hydrobiological Bulletin 12, 119–126 (1978). https://doi.org/10.1007/BF02260712
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DOI: https://doi.org/10.1007/BF02260712