Moran's Theorem
   HOME
*





Moran's Theorem
In population ecology, Moran's theorem (or the Moran effect) states that the time correlation of two separate populations of the same species is equal to the correlation between the environmental variabilities where they live. The theorem is named after Pat Moran, who stated it in a paper on the dynamics of the Canadian lynx populations. It has been used to explain the synchronization of widely dispersed populations. It has the important consequence for conservation ecology ''Ecology and Society'' (formerly ''Conservation Ecology'') is a quarterly open access interdisciplinary academic journal published by the Resilience Alliance. It covers an array of disciplines from the natural sciences, social sciences, and the h ... that viability of spatially structured populations is lower than one would expect from the local populations: it increases the probability that several local populations go extinct simultaneously. In its original form it stated: If the two populations have popu ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Population Ecology
Population ecology is a sub-field of ecology that deals with the dynamics of species populations and how these populations interact with the environment, such as birth and death rates, and by immigration and emigration. The discipline is important in conservation biology, especially in the development of population viability analysis which makes it possible to predict the long-term probability of a species persisting in a given patch of habitat. Although population ecology is a subfield of biology, it provides interesting problems for mathematicians and statisticians who work in population dynamics. History In the 1940s ecology was divided into autecology—the study of individual species in relation to the environment—and synecology—the study of groups of species in relation to the environment. The term autecology (from Ancient Greek: αὐτο, ''aúto'', "self"; οίκος, ''oíkos'', "household"; and λόγος, ''lógos'', "knowledge"), refers to roughly the same fie ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Correlation
In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data. Although in the broadest sense, "correlation" may indicate any type of association, in statistics it usually refers to the degree to which a pair of variables are ''linearly'' related. Familiar examples of dependent phenomena include the correlation between the height of parents and their offspring, and the correlation between the price of a good and the quantity the consumers are willing to purchase, as it is depicted in the so-called demand curve. Correlations are useful because they can indicate a predictive relationship that can be exploited in practice. For example, an electrical utility may produce less power on a mild day based on the correlation between electricity demand and weather. In this example, there is a causal relationship, because extreme weather causes people to use more electricity for heating or cooling. However ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Pat Moran (statistician)
Patrick Alfred Pierce Moran FRS (14 July 1917 – 19 September 1988) was an Australian statistician who made significant contributions to probability theory and its application to population and evolutionary genetics. Early years Patrick Moran was born in Sydney and was the only child of Herbert Michael Moran (b. 1885 in Sydney, d. 1945 in Cambridge UK), a prominent surgeon and captain of the first Wallabies, and Eva Mann (b. 1887 in Sydney, d. 1977 in Sydney). Patrick did have five other siblings, but they all died at or shortly after birth. He completed his high school studies in Bathurst, in three and a half years instead of the normal five-year course. At age 16, in 1934, he commenced study at the University of Sydney where he studied chemistry, math and physics, graduating with first class honours in mathematics in 1937. Following graduation he went to study at Cambridge University from 1937 to 1939, his supervisors noted that he was not a good mathematician and the ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Canadian Lynx
The Canada lynx (''Lynx canadensis''), or Canadian lynx, is a medium-sized North American lynx that ranges across Alaska, Canada, and northern areas of the contiguous United States. It is characterized by its long, dense fur, triangular ears with black tufts at the tips, and broad, snowshoe-like paws. Its hindlimbs are longer than the forelimbs, so its back slopes downward to the front. The Canada lynx stands tall at the shoulder and weighs between . The lynx is a good swimmer and an agile climber. The Canada lynx was first described by Robert Kerr in 1792. Three subspecies have been proposed, but their validity is doubted; it is mostly considered a monotypic species. A specialist predator, the Canada lynx depends heavily on the snowshoe hare (''Lepus americanus'') for food. This leads to a prey-predator cycle, as Canada lynxes respond to the cyclic rises and falls in snowshoe hare populations over the years in Alaska and central Canada. The Canada lynx population increase ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Conservation Biology
Conservation biology is the study of the conservation of nature and of Earth's biodiversity with the aim of protecting species, their habitats, and ecosystems from excessive rates of extinction and the erosion of biotic interactions. It is an interdisciplinary subject drawing on natural and social sciences, and the practice of natural resource management. The conservation ethic is based on the findings of conservation biology. Origins The term conservation biology and its conception as a new field originated with the convening of "The First International Conference on Research in Conservation Biology" held at the University of California, San Diego in La Jolla, California, in 1978 led by American biologists Bruce A. Wilcox and Michael E. Soulé with a group of leading university and zoo researchers and conservationists including Kurt Benirschke, Sir Otto Frankel, Thomas Lovejoy, and Jared Diamond. The meeting was prompted due to concern over tropical deforestation, disappearin ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Minimum Viable Population
Minimum viable population (MVP) is a lower bound on the population of a species, such that it can survive in the wild. This term is commonly used in the fields of biology, ecology, and conservation biology. MVP refers to the smallest possible size at which a biological population can exist without facing extinction from natural disasters or demographic, environmental, or genetic stochasticity. The term "population" is defined as a group of interbreeding individuals in similar geographic area that undergo negligible gene flow with other groups of the species. Typically, MVP is used to refer to a wild population, but can also be used for ex-situ conservation (Zoo populations). Estimation There is no unique definition of what is a sufficient population for the continuation of a species, because whether a species survives will depend to some extent on random events. Thus any calculation of a minimum viable population (MVP) will depend on the population projection model used. A set of ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]