Changes between Version 6 and Version 7 of EwEugMortalityForaPreyIsConsumptionForaPredator


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Timestamp:
2010-11-18 02:10:38 (9 years ago)
Author:
shermanl
Comment:

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  • EwEugMortalityForaPreyIsConsumptionForaPredator

    v6 v7  
    1717Eq. 2.2 can be re-expressed as 
    1818 
    19 ''''' 
    20  
    2119'''[[Image(08000002.png)]] Eq. 3''' 
    2220 
     
    3129This system of simultaneous linear equations can be re-expressed 
    3230 
    33 ../Resources/Images/08000008.png^''''''^''' Eq. 6'''^''''''^ 
     31'''[[Image(08000008.png)]] Eq. 6''' 
    3432 
    3533with ''n'' being equal to the number of equations, and ''m'' to the number of unknowns. 
     
    5351where ''EE,,i,,'' is called the 'ecotrophic efficiency' of (''i''), and can be described as the proportion of the production that is utilized in the system. The production term describing predation mortality, ''M2'', serves to link predators and prey as, 
    5452 
    55 ../Resources/Images/0800000B.png^''''''^''' Eq. 10'''^''''''^ 
     53'''[[Image(0800000B.png)]] Eq. 10''''' 
    5654 
    5755where the summation is over all (''n'') predator groups (''j'') feeding on group (''i''), ''Q,,j,,'' is the total consumption rate for group (''j''), and ''DCji'' is the fraction of predator (''j'')'s diet contributed by prey (''i''). ''Qj'' is calculated as the product of ''Bj'', the biomass of group (''j'') and ''Qj / Bj'', the consumption/biomass ratio for group (''j''). 
     
    7573while ''P,,i,,/B,,i,,'' and ''Q,,i,,/B,,i,,''are attempted solved by inverting the same equation. The'' P/B'' ratio is then estimated (if possible) from 
    7674 
    77 ../Resources/Images/0800000C.png^''''''^''' Eq. 12'''^''''''^ 
     75'''[[Image(0800000C.png)]] Eq. 12''''' 
    7876 
    7977This expression can be solved if both the catch, biomass and ecotrophic efficiency of group ''i'', and the biomasses and consumption rates of all predators on group i are known (including group ''i'' if a zero order cycle, i.e., 'cannibalism' exists). The catch, net migration and biomass accumulation rates are required input, and hence always known; 
     
    8179The ''EE'' is estimated from 
    8280 
    83 ../Resources/Images/0800000D.png'''Eq. 13''' 
     81'''[[Image(0800000D.png)]] Eq. 13''''' 
    8482 
    8583where the predation mortality ''M2'' is estimated from Eq. 2.2.10.