Changes between Version 3 and Version 4 of EwEugRepresentationOfMultiStanzaLifeHistoriesInEcopathEcoSimAndEcospace
- Timestamp:
- 2010-01-28 15:10:40 (15 years ago)
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EwEugRepresentationOfMultiStanzaLifeHistoriesInEcopathEcoSimAndEcospace
v3 v4 13 13 Under the stable age distribution assumption, the relative number of age “''a''” animals is given by'' l,,a,,/''''S''''l,,a,,'' where the sum is over all ages, and ''l,,a,,'' is the population growth rate-corrected survivorship, 14 14 15 [[Image(wiki:EwEugImages:0800001D.png ]]15 [[Image(wiki:EwEugImages:0800001D.png)]] 16 16 17 17 where the sum of ''Z''’s is over all ages up to “''a''” and the BA/B term represents effect on the numbers at age of the population growth rate (e.g. the cohort born one year ago should be smaller by the factor ../Resources/Images/0800001E.png than the cohort born “a” years ago, if the relative population growth rate has been BA/B) for at least “a” years). Further, the relative biomass, b, of animals in stanza s should be 18 18 19 [[Image(wiki:EwEugImages:0800001F.png ]]19 [[Image(wiki:EwEugImages:0800001F.png)]] 20 20 21 21 where [[Image(wiki:EwEugImages:08000020.png]] is the von Bertalanffy (1938) prediction of relative body weight at age a. … … 23 23 Knowing the biomass, ''B'', for one leading stanza, and the ''b,,s,,'' for each stanza ''s'', the biomasses for the other stanzas can be calculated by first calculating population biomass 24 24 25 [[Image(wiki:EwEugImages:08000021.png ]],25 [[Image(wiki:EwEugImages:08000021.png)]], 26 26 27 27 then setting ''B,,s,,'' = ''b,,s,,B'' for the other stanzas. ''Q/B'' estimates for non-leading stanzas are calculated with a similar approach, assuming that feeding rates vary with age as the 2/3 power of body weight (a “hidden” assumption in the von Bertalanffy growth model). This method for ‘extending’ biomass and ''Q/B'' estimates over stanzas avoids a problem encountered in earlier ‘split-group’ EwE representations, where users could enter juvenile biomasses and feeding rates quite inconsistent with the adult biomasses and feeding rates that they had entered. The internal calculations of survivorship and biomass are actually done in monthly age steps, so as to allow finer resolution than one year in the stanza biomass and mortality structure (e.g., larval and juvenile stanzas that last only one or a few months).