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Related Concept Videos

Competition02:34

Competition

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When organisms require the same limited resources within an environment, they may have to compete for them. Competition is a net-negative interaction. Even if two competing individuals or populations do not interact directly, the overall fitness of both competitors is lowered as a result of not having full access to the limited resource.
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The correlation coefficient, r, developed by Karl Pearson in the early 1900s, is numerical and provides a measure of strength and direction of the linear association between the independent variable, x, and the dependent variable, y. Hence, it is also known as the Pearson product-moment correlation coefficient. It can be calculated using the following equation:
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The free energy change for a reaction that occurs under the standard conditions of 1 bar pressure and at 298 K is called the standard free energy change. Since free energy is a state function, its value depends only on the conditions of the initial and final states of the system. A convenient and common approach to the calculation of free energy changes for physical and chemical reactions is by use of widely available compilations of standard state thermodynamic data. One method involves the...
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When solids, liquids, or condensed gases are heated sufficiently, they radiate some of the excess energy as light. Photons produced in this manner have a range of energies, and thereby produce a continuous spectrum in which an unbroken series of wavelengths is present.
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The equilibrium constant for a reaction is calculated from the equilibrium concentrations (or pressures) of its reactants and products. If these concentrations are known, the calculation simply involves their substitution into the Kc expression.
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Being able to calculate equilibrium concentrations is essential to many areas of science and technology—for example, in the formulation and dosing of pharmaceutical products. After a drug is ingested or injected, it is typically involved in several chemical equilibria that affect its ultimate concentration in the body system of interest. Knowledge of the quantitative aspects of these equilibria is required to compute a dosage amount that will solicit the desired therapeutic effect.
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Updated: Feb 13, 2026

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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Some Methods for Calculating Competition Coefficients from Resource-Utilization Spectra.

Thomas W Schoener

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    |March 8, 2018
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    Summary

    This study presents two methods for calculating the competition coefficient, a key ecological metric. These formulas quantify interspecies competition based on diet composition or foraging time, aiding in ecological modeling.

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    Area of Science:

    • Ecology
    • Theoretical Ecology
    • Mathematical Biology

    Background:

    • Interspecies competition is a fundamental ecological interaction influencing community structure and dynamics.
    • Quantifying competition coefficients is crucial for developing predictive ecological models.
    • Existing models often rely on simplified assumptions about resource use and consumer behavior.

    Purpose of the Study:

    • To derive and present two distinct formulas for calculating the competition coefficient (αij).
    • To provide methods applicable when diet composition or foraging time data are available.
    • To extend MacArthur's consumer-resource system for broader applicability in ecological studies.

    Main Methods:

    • Method 1: Calculation based on relative frequencies of resource kinds in the diet.
    • Method 2: Calculation based on relative frequencies of time spent foraging in different habitats.
    • Both methods utilize parameters such as resource utilization, environmental availability, and energetic content.

    Main Results:

    • A formula for the competition coefficient (αij) is derived using diet composition data.
    • An alternative formula for the competition coefficient (αij) is derived using foraging time data.
    • The derived coefficients are shown to be consistent with MacArthur's consumer-resource system under specific assumptions.

    Conclusions:

    • The study provides practical, data-driven methods for estimating interspecies competition.
    • These coefficients can be computed using readily available ecological data on diet and foraging behavior.
    • The findings enhance the utility of mathematical models in understanding ecological competition.