What are isoclines in ecology?
isocline A line joining points on a graph at which combinations of resource levels or population densities produce a similar rate of population growth for a particular species. A Dictionary of Ecology.
What is the method of isoclines?
Isoclines are often used as a graphical method of solving ordinary differential equations. In an equation of the form y’ = f(x, y), the isoclines are lines in the (x, y) plane obtained by setting f(x, y) equal to a constant.
What is an isocline map?
isoclinenoun. A line on a map linking places with the same magnetic dip.
What is a pure time differential equation?
Definition: Pure-Time Differential Equation A pure-time differential equation is a differential equation where the derivative of a function is given as an explicit function of the independent variable (ie. the function itself is only present as a derivative), generally assumed to be time.
What is a zero growth isocline?
The zero-growth isocline describes expected equilibrium population sizes of one species if abundance of the second species is held constant, and vice versa.
How do you find the zero Isoclines?
Thus, the zero-growth isocline for species 1 is a straight line (y = a + bx) with the y intercept = K1/a21 and slope (b) = 1/a21 (assuming N2 is plotted on the y-axis).
What is an isocline?
Generally, an isocline will itself have the shape of a curve or the union of a small number of curves. Isoclines are often used as a graphical method of solving ordinary differential equations.
How do you find the isocline of an equation?
Isocline. In an equation of the form y’ = f ( x, y ), the isoclines are lines in the ( x, y) plane obtained by setting f ( x, y) equal to a constant. This gives a series of lines (for different constants) along which the solution curves have the same gradient. By calculating this gradient for each isocline, the slope field can be visualised;
What are isolines on a map?
Isolines, also referred to as contour lines, can be used to represent elevation on a map by connecting points of equal elevation, for instance.
What is an anticline in geology?
Geology An anticline or syncline so tightly folded that the rock beds of the two sides are nearly parallel. American Heritage® Dictionary of the English Language, Fifth Edition.