168
Approaching Planktonic Food Webs: Competition, Coexistence, and Chaos
easily seen that constant" is equivalent to F2 = "F I , or, if we drop the indices,
that FI = F and F2 = " F. The corresponding ingestion rate (/; day"l) on a
mixture of the two species will then be given by
1= .FiC, +F;~ =F(C, +t/>C 2 ).
(6.8)
Vanderploeg et al. (1984) introduced the concept of effective food concentration [C; (mg C) rl], which is the virtual food concentration that controls
the functional response in a grazer feeding selectively on a mixed phytoplankton community. If we require that the effective food concentration (C)
must satisfy 1= F C, then Eq. (6.8) implies that C must be a linear function of
the prey biomasses:
C= C, +t/>C 2 •
(6.9)
c' 2
I'
04---~--~--~--4-------------------~
C'
I
o
Prey species 1 biomass
Fig. 6.6. Functional response, given by Eqs. (6.9), (6.10), of an invariant selective grazer
feeding on two prey species. Label, denote level curves of constant specific ingestion rate
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