A point originating in (iii) or (iv) oscillates between (iii) and (iv) until convergence at the isocline
. Corruption continues to increase regardless of the oversight effort if it originates in isosector (iii) or (iv).
Therefore, [[gamma].sup.+] intersects the vertical isocline
, that is y = F(x), at a point ([x.sub.2], F([x.sub.2])) with [[alpha].sub.1] [less than or equal to] [x.sub.1] < [x.sub.2] < [beta].
The Mishan formation (an isocline
) along with the Gachsaran formation cover the western part of the dam reservoir and dam site.
Optimal foraging and the form of predator isocline
Every slide was photographed and the digital images were transferred in AutoCAD program (AUTODESK Inc.), to construct the outlines of the morphologic elements in parallel plans and to define the isocline
Equations (20) to (22) can be solved to yield two k = 0 isoclines
and a single [dot.q] = 0 isocline
analyses, target neighbor experiments, and foraging observations in Montana and Nebraska prairies, using adult generalist and specialist grasshoppers, have successfully identified feeding-based mechanisms of interspecific competition, including the included niche, on a number of occasions (Belovsky 1986, Chase and Belovsky 1994, Chase 1996).
Equation--The equation specifying the least-cost combination of a set of input factors for production of any specified quantity of output.
For either species the possible outcomes of the experiment are that the presence of the other species has no effect (i.e., biomass at a given density in a species mixture is not different from that predicted by the linear isocline
for growth in pure stands [[[Alpha].sub.ij] is zero]), a positive effect (i.e., biomass in mixture is greater than that predicted by the isocline
[[[Alpha].sub.ij] [less than] 0]), or a negative (competitive) effect (i.e., biomass in mixture is less than that predicted by the isocline
[[[Alpha].sub.ij] [greater than] 0]).
By equation (7) and the Implicit Function Theorem, the [Mathematical Expression Omitted] isocline
shifts down since [Mathematical Expression Omitted], but the [Mathematical Expression Omitted] isocline
is unaffected because [Mathematical Expression Omitted].
(7) The direct harvest feedback control, [H.sub.t] = [psi]([X.sub.t]) corresponding to equation  is in fact the [DELTA]H = 0 isocline
in H - X space.
Thus, the isocline
[L.sub.1] : [C.sub.1]([v.sub.1], [v.sub.2])= 0 is smooth as shown in Figure 1.