Malthusian equilibrium

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A population is in Malthusian equilibrium when all of its production is used only for subsistence. Malthusian equilibrium is a locally stable and a dynamic equilibrium.

Population All the organisms of a given species that live in the specified region

In biology, a population is all the organisms of the same group or species, which live in a particular geographical area, and have the capability of interbreeding. The area of a sexual population is the area where inter-breeding is potentially possible between any pair within the area, and where the probability of interbreeding is greater than the probability of cross-breeding with individuals from other areas.

Production is a process of combining various material inputs and immaterial inputs in order to make something for consumption. It is the act of creating an output, a good or service which has value and contributes to the utility of individuals.

Stability theory part of mathematics

In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation, for example, is a stable partial differential equation because small perturbations of initial data lead to small variations in temperature at a later time as a result of the maximum principle. In partial differential equations one may measure the distances between functions using Lp norms or the sup norm, while in differential geometry one may measure the distance between spaces using the Gromov–Hausdorff distance.

See also

<i>An Essay on the Principle of Population</i> Treatise by Thomas Malthus

The book An Essay on the Principle of Population was first published anonymously in 1798, but the author was soon identified as Thomas Robert Malthus. The book predicted a grim future, as population would increase geometrically, doubling every 25 years, but food production would only grow arithmetically, which would result in famine and starvation, unless births were controlled.

A Malthusian growth model, sometimes called a simple exponential growth model, is essentially exponential growth based on the idea of the function being proportional to the speed to which the function grows. The model is named after Thomas Robert Malthus, who wrote An Essay on the Principle of Population (1798), one of the earliest and most influential books on population.

Malthusian trap

The Malthusian trap or population trap is a condition whereby excess population would stop growing due to shortage of food supply leading to starvation. It is named for Thomas Robert Malthus, who suggested that while technological advances could increase a society's supply of resources, such as food, and thereby improve the standard of living, the resource abundance would enable population growth, which would eventually bring the per capita supply of resources back to its original level. Some economists contend that since the industrial revolution, mankind has broken out of the trap. Others argue that the continuation of extreme poverty indicates that the Malthusian trap continues to operate. Others further argue that due to lack of food availability coupled with excessive pollution, developing countries show more evidence of the trap.

Related Research Articles

Malthusian catastrophe prediction of a forced return to subsistence-level conditions once population growth has outpaced agricultural production

A Malthusian catastrophe is a prediction that population growth will outpace agricultural production – that there will be too many people and not enough food.

Oscillation repetitive variation of some measure about a central value

Oscillation is the repetitive variation, typically in time, of some measure about a central value or between two or more different states. The term vibration is precisely used to describe mechanical oscillation. Familiar examples of oscillation include a swinging pendulum and alternating current.

Thomas Robert Malthus British political economist

Thomas Robert Malthus was an English cleric and scholar, influential in the fields of political economy and demography. Malthus himself used only his middle name, Robert.

A law is a universal principle that describes the fundamental nature of something, the universal properties and the relationships between things, or a description that purports to explain these principles and relationships.

The iron law of wages is a proposed law of economics that asserts that real wages always tend, in the long run, toward the minimum wage necessary to sustain the life of the worker. The theory was first named by Ferdinand Lassalle in the mid-nineteenth century. Karl Marx and Friedrich Engels attribute the doctrine to Lassalle, the idea to Thomas Malthus's An Essay on the Principle of Population, and the terminology to Goethe's "great, eternal iron laws" in Das Göttliche.

"The dismal science" is a derogatory alternative name for economics coined by the Victorian historian Thomas Carlyle in the 19th century. The term drew a contrast with the then-familiar use of the phrase "gay science" to refer to song and verse writing.

Population dynamics the branch of life sciences studying changes in the size and age composition of populations

Population dynamics is the branch of life sciences that studies the size and age composition of populations as dynamical systems, and the biological and environmental processes driving them. Example scenarios are ageing populations, population growth, or population decline.

Principle rule that has to be followed or is an inevitable consequence of something, such as the laws observed in nature

A principle is a proposition or value that is a guide for behavior or evaluation. In law, it is a rule that has to be or usually is to be followed, or can be desirably followed, or is an inevitable consequence of something, such as the laws observed in nature or the way that a system is constructed. The principles of such a system are understood by its users as the essential characteristics of the system, or reflecting system's designed purpose, and the effective operation or use of which would be impossible if any one of the principles was to be ignored. A system may be explicitly based on and implemented from a document of principles as was done in IBM's 360/370 Principles of Operation.

Malthusianism

Malthusianism is the idea that population growth is potentially exponential while the growth of the food supply is linear. It derives from the political and economic thought of the Reverend Thomas Robert Malthus, as laid out in his 1798 writings, An Essay on the Principle of Population. Malthus believed there were two types of "checks" that in all times and places kept population growth in line with the growth of the food supply: "preventive checks", such as moral restraints, and restricting marriage against persons suffering poverty or perceived as defective, and "positive checks", which lead to premature death such as disease, starvation and war, resulting in what is called a Malthusian catastrophe. The catastrophe would return population to a lower, more "sustainable", level. Malthusianism has been linked to a variety of political and social movements, but almost always refers to advocates of population control.

The overlapping generations (OLG) model is one of the dominating frameworks of analysis in the study of macroeconomic dynamics and economic growth. In contrast, to the Ramsey–Cass–Koopmans neoclassical growth model in which individuals are infinitely-lived, in the OLG model individuals live a finite length of time, long enough to overlap with at least one period of another agent's life.

Irruptive growth, sometimes called Malthusian growth, is a growth pattern over time, defined by population explosions and subsequent sharp population crashes, or diebacks. It is an extension of the Malthusian growth model, specifically the growth pattern that causes a Malthusian catastrophe, and can occur when populations overshoot their carrying capacity, a phenomenon typically associated with r-strategists. Populations which exhibit irruptive growth do not stabilize around their carrying capacity, a feature of logistic growth. Irruptive growth occurs when a species reproduces more rapidly than the environment is capable of supporting with the available resources. Irruptive growth is studied in population ecology.

<i>Foundations of Economic Analysis</i> book by Paul A. Samuelson published in 1947

Foundations of Economic Analysis is a book by Paul A. Samuelson published in 1947 by Harvard University Press. It is based on Samuelson's 1941 doctoral dissertation at Harvard University. The book sought to demonstrate a common mathematical structure underlying multiple branches of economics from two basic principles: maximizing behavior of agents and stability of equilibrium as to economic systems. Among other contributions, it advanced the theory of index numbers and generalized welfare economics. It is especially known for definitively stating and formalizing qualitative and quantitative versions of the "comparative statics" method for calculating how a change in any parameter affects an economic system. One of its key insights about comparative statics, called the correspondence principle, states that stability of equilibrium implies testable predictions about how the equilibrium changes when parameters are changed.

A population model is a type of mathematical model that is applied to the study of population dynamics.

Unified growth theory was developed in light of the failure of endogenous growth theory to capture key empirical regularities in the growth processes and their contribution to the momentous rise in inequality across nations in the past two centuries. Unlike earlier growth theories that have focused entirely on the modern growth regime, unified growth theory captures the growth process over the entire course of human existence, highlighting the critical role of the differential timing of the transition from Malthusian stagnation to sustained economic growth in the emergence of inequality across countries and regions.

Observations Concerning the Increase of Mankind, Peopling of Countries, etc. is a short essay written in 1751 by Benjamin Franklin. It was circulated by Franklin in manuscript to his circle of friends, but in 1755 it was published as an addendum in a Boston pamphlet on another subject. It was reissued ten times during the next 15 years.

Theory of population may refer to:

Struggle for existence

The concept of the struggle for existence concerns the competition or battle for resources needed to live. It can refer to human society, or to organisms in nature. The concept is ancient, and the term struggle for existence was in use by the end of the 18th century. From the 17th century onwards the concept was associated with a population exceeding resources, an issue shown starkly in Thomas Robert Malthus’ An Essay on the Principle of Population which drew on Benjamin Franklin's Observations Concerning the Increase of Mankind, Peopling of Countries, etc..

References

Digital object identifier Character string used as a permanent identifier for a digital object, in a format controlled by the International DOI Foundation

In computing, a Digital Object Identifier or DOI is a persistent identifier or handle used to identify objects uniquely, standardized by the International Organization for Standardization (ISO). An implementation of the Handle System, DOIs are in wide use mainly to identify academic, professional, and government information, such as journal articles, research reports and data sets, and official publications though they also have been used to identify other types of information resources, such as commercial videos.