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  2. Population density - Wikipedia

    en.wikipedia.org/wiki/Population_density

    Population density is the number of people per unit of area, usually transcribed as "per square kilometer" or square mile, and which may include or exclude, for example, areas of water or glaciers. Commonly this is calculated for a county, city, country, another territory or the entire world . The world's population is around 8,000,000,000 [3 ...

  3. Population dynamics - Wikipedia

    en.wikipedia.org/wiki/Population_dynamics

    Population dynamics is the type of mathematics used to model and study the size and age composition of populations as dynamical systems. History [ edit ] Population dynamics has traditionally been the dominant branch of mathematical biology , which has a history of more than 220 years, [1] although over the last century the scope of ...

  4. Population model - Wikipedia

    en.wikipedia.org/wiki/Population_model

    Population modeling became of particular interest to biologists in the 20th century as pressure on limited means of sustenance due to increasing human populations in parts of Europe were noticed by biologist like Raymond Pearl. In 1921 Pearl invited physicist Alfred J. Lotka to assist him in his lab.

  5. Population balance equation - Wikipedia

    en.wikipedia.org/wiki/Population_balance_equation

    Population balance equation. Population balance equations (PBEs) have been introduced in several branches of modern science, mainly in Chemical Engineering, [1] to describe the evolution of a population of particles. This includes topics like crystallization, [2] leaching (metallurgy), [3] [4] liquid–liquid extraction, gas-liquid dispersions ...

  6. Branching process - Wikipedia

    en.wikipedia.org/wiki/Branching_process

    Branching process. In probability theory, a branching process is a type of mathematical object known as a stochastic process, which consists of collections of random variables indexed by some set, usually natural or non-negative real numbers. The original purpose of branching processes was to serve as a mathematical model of a population in ...

  7. Cluster analysis - Wikipedia

    en.wikipedia.org/wiki/Cluster_analysis

    Cluster analysis or clustering is the task of grouping a set of objects in such a way that objects in the same group (called a cluster) are more similar (in some specific sense defined by the analyst) to each other than to those in other groups (clusters). It is a main task of exploratory data analysis, and a common technique for statistical ...

  8. Statistical mechanics - Wikipedia

    en.wikipedia.org/wiki/Statistical_mechanics

    Scientists. v. t. e. In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic entities. Sometimes called statistical physics or statistical thermodynamics, its applications include many problems in the fields of physics, biology, [1] chemistry ...

  9. Distance sampling - Wikipedia

    en.wikipedia.org/wiki/Distance_sampling

    Distance sampling is a widely used group of closely related methods for estimating the density and/or abundance of populations. The main methods are based on line transects or point transects. [1] [2] In this method of sampling, the data collected are the distances of the objects being surveyed from these randomly placed lines or points, and ...