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A line in a geographic region that joins all points at which in a population there is the same average frequency for the various alleles at a genetic locus.
See also: cline.
[iso- + G. klinō, to slope]
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The [Mathematical Expression Omitted] isocline shifts up because [Mathematical Expression Omitted], while the [Mathematical Expression Omitted] isocline is unaffected since [Mathematical Expression Omitted].
Similarly, we divide the isocline [L.sub.2] of message 2 into [L.sub.21] and [L.sub.22] as follows:
From P', vertical isocline [l.sub.1] is monotone decreasing when N > ([epsilon]m[H.sub.N]/([alpha][beta] - em)), and P < 0 holds when N [member of] (0, ([epsilon]m[H.sub.N]/([alpha][beta] - [epsilon]m))); P > 0 holds when N [member of] (([epsilon]m[H.sub.N]/([alpha][beta] - [epsilon]m)), [N.sub.0]).
The isocline and full system analyses show similar patterns when there is variation in performance (Figs.
If so, the grazer isocline will shift upward and to the left (compare grazer isoclines in Fig.
The isoclines [[GAMMA].sub.i] and [[GAMMA].sub.2] are, respectively, a hyperbola and a straight line.
Divided by the vertical isocline [r(1 - (x/K)) - y/(a + [x.sup.2])] = 0, the rotated direction of vector fields below the vertical isocline is counterclockwise, but above the vertical isocline, the rotated direction of vector fields of system (3) is clockwise.
Movements of each treatment vector across the isocline surface reflect changes in patch size.
The isocline [L.sub.1] : y = (1 - x)(x + a) intersects with the phase set [N.sub.2] at the point Q((1 - p)[h.sub.2], [y.sub.Q]), and Q is below [Q.sub.0].
The isocline S'(t) = 0, that is, x = D([S.sub.i] - S)([K.sub.s] + S)[[delta].sub.1](([mu] + m[[delta].sub.1]) S + m[K.sub.s][[delta].sub.1]), which intersects the S-axis at points (-[K.sub.s], 0) and ([S.sub.i], 0), and x < D([S.sub.i] - S)([K.sub.s] + S)[[delta].sub.1]/(([mu] + m[[delta].sub.1]) S + m[K.sub.s][[delta].sub.1]), S'(t) > 0.
This means a shift downwards or to the left in the prey null isocline (if the prey suppresses), or a shift downwards or to the right in the predator isocline (if the predator suppresses).
Obviously, y = f(x) = r(1-x/K)(b+[x.sup.2])/a[x.sup.2] is a vertical line and x = [square root of (mb/([epsilon]a - m))] is a horizontal isocline. By direct calculation, the equilibrium [E.sup.*] is locally asymptotically stable under the condition ([epsilon]a - 2m)K > -2m[x.sup.*] and the index of the equilibrium [E.sup.*] is +1.