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  2. Lotka–Volterra equations - Wikipedia

    en.wikipedia.org/wiki/Lotka–Volterra_equations

    The Lotka–Volterra equations, also known as the Lotka–Volterra predator–prey model, are a pair of first-order nonlinear [disambiguation needed] differential equations, frequently used to describe the dynamics of biological systems in which two species interact, one as a predator and the other as prey. The populations change through time ...

  3. Normal distribution - Wikipedia

    en.wikipedia.org/wiki/Normal_distribution

    Probability theory. In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable. The general form of its probability density function is. The parameter is the mean or expectation of the distribution (and also its median and mode ), while ...

  4. Histogram - Wikipedia

    en.wikipedia.org/wiki/Histogram

    A histogram is a visual representation of the distribution of quantitative data. The term was first introduced by Karl Pearson. [1] To construct a histogram, the first step is to "bin" (or "bucket") the range of values— divide the entire range of values into a series of intervals—and then count how many values fall into each interval.

  5. Abundance (ecology) - Wikipedia

    en.wikipedia.org/wiki/Abundance_(ecology)

    Abundance (ecology) Effects of herbivore abundance in seagrass meadows. In ecology, local abundance is the relative representation of a species in a particular ecosystem. [1] It is usually measured as the number of individuals found per sample. The ratio of abundance of one species to one or multiple other species living in an ecosystem is ...

  6. Poisson distribution - Wikipedia

    en.wikipedia.org/wiki/Poisson_distribution

    The Poisson distribution is a good approximation of the binomial distribution if n is at least 20 and p is smaller than or equal to 0.05, and an excellent approximation if n ≥ 100 and n p ≤ 10. [31] Letting and be the respective cumulative density functions of the binomial and Poisson distributions, one has:

  7. Kernel density estimation - Wikipedia

    en.wikipedia.org/wiki/Kernel_density_estimation

    Kernel density estimation of 100 normally distributed random numbers using different smoothing bandwidths.. In statistics, kernel density estimation (KDE) is the application of kernel smoothing for probability density estimation, i.e., a non-parametric method to estimate the probability density function of a random variable based on kernels as weights.

  8. Mulliken population analysis - Wikipedia

    en.wikipedia.org/wiki/Mulliken_population_analysis

    The sum of the gross orbital products is N - the total number of electrons. The Mulliken population assigns an electronic charge to a given atom A, known as the gross atom population: as the sum of over all orbitals belonging to atom A. The charge, , is then defined as the difference between the number of electrons on the isolated free atom ...

  9. Occupancy–abundance relationship - Wikipedia

    en.wikipedia.org/wiki/Occupancy–abundance...

    Occupancy–abundance relationship. In ecology, the occupancy–abundance ( O–A) relationship is the relationship between the abundance of species and the size of their ranges within a region. This relationship is perhaps one of the most well-documented relationships in macroecology, and applies both intra- and interspecifically (within and ...