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In microeconomics, a production–possibility frontier (PPF), production possibility curve (PPC), or production possibility boundary (PPB) is a graphical representation showing all the possible options of output for two that can be produced using all factors of production, where the given resources are fully and efficiently utilized per unit time.
Ecosystems can shift from one state to another via a significant perturbation directly to state variables.State variables are quantities that change quickly (in ecologically-relevant time scales) in response to feedbacks from the system (i.e., they are dependent on system feedbacks), such as population densities.
The relative activity of a species i, denoted a i, is defined [4] [5] as: = where μ i is the (molar) chemical potential of the species i under the conditions of interest, μ o i is the (molar) chemical potential of that species under some defined set of standard conditions, R is the gas constant, T is the thermodynamic temperature and e is the exponential constant.
For a reversible reaction, the equilibrium constant can be measured at a variety of temperatures. This data can be plotted on a graph with ln K eq on the y-axis and 1 / T on the x axis. The data should have a linear relationship, the equation for which can be found by fitting the data using the linear form of the Van 't Hoff equation
When the species abundances of an ecological system are treated with a set of differential equations, it is possible to test for stability by linearizing the system at the equilibrium point. [7] Robert May used this stability analysis in the 1970s which uses the Jacobian matrix or community matrix to investigate the relation between the ...
A thermal optimum is either a portion of a specified geological time span in which the average temperature was above that of the average temperature for the entire specified time or the optimum range within which a biological process may take place or the ambient optimal range for a species' niche.
The reversible reaction 2NO 2 (g) ⇌ N 2 O 4 (g) is exothermic, so the equilibrium position can be shifted by changing the temperature. When heat is removed and the temperature decreases, the reaction shifts to the right and the flask turns colorless due to an increase in N 2 O 4. This demonstrates Le Chatelier's principle: the equilibrium ...
In horses, the lower critical temperature is 5 °C while the upper critical temperature depends on the definition used. [11] Their thermoneutral zone is roughly 5–30 °C (41–86 °F). [12] In mice, the lower critical temperature and upper critical temperature can be the same, creating a thermoneutral point instead of a thermoneutral zone.