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Estimation of DEB parameters

Estimation of DEB parameters. Bas Kooijman Dept theoretical biology Vrije Universiteit Amsterdam Bas@bio.vu.nl http://www.bio.vu.nl/thb /. Marseille, 2007/01/18. Auxiliary theory. Quantities that are easy to measure (e.g. respiration, body weight)

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Estimation of DEB parameters

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  1. Estimation of DEB parameters Bas Kooijman Dept theoretical biology Vrije Universiteit Amsterdam Bas@bio.vu.nl http://www.bio.vu.nl/thb/ Marseille, 2007/01/18

  2. Auxiliary theory Quantities that are easy to measure (e.g. respiration, body weight) have contributions form several processes  they are not suitable as variables in explenatory models Variables in explenatory models are not directly measurable  we need auxiliary theory to link core theory to measurements Standard DEB model: isomorph with 1 reserve & 1 structure that feeds on 1 type of food

  3. DEB parameters • primary parameters determine • food uptake • changes of state variables (reserve, maturity, structure) • compound parameters: functions of primary parameters • composition parameters • food, reserve, structure, products (feaces, N-waste) • thermodynamic parameters • free energies (chemical potentials) • entropies • dissipating heat

  4. Reserve & maturity: hidden Maturity: information, not mass or energy quantified as cumulated mass of reserve that is invested Scale reserve & maturity

  5. Growth at constant food 3.7 length, mm Von Bert growth rate -1, d time, d ultimate length, mm Von Bertalanffy growth curve: time Length L. at birth ultimate L. von Bert growth rate energy conductance maint. rate coefficient shape coefficient

  6. measured quantities  primary pars Standard DEB model (isomorph, 1 reserve, 1 structure) reserve & maturity: hidden variables measured for 2 food levels primaryparameters

  7. One-sample case

  8. Two-sample case: D. magna 20°C Optimality of life history parameters?

  9. Primary  thermodynamic pars • Given primary parameters: • get composition parameters • get mass fluxes (respiration) • get entropies, free energies

  10. Reserve vs structure structure carbohydrate lipid cumulative fraction reserve Kcal/g wet weight protein time, d time of reserve depletion, d Body mass in starving pacific oyster Crassooestrea gigas at 10°C Data from Whyte J.N.C., Englar J.R. & Carswell (1990). Aquaculture 90: 157-172.

  11. Reserve Evs structure V

  12. Reserve Evs structure V

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