Last edited by Fenrik
Friday, July 31, 2020 | History

1 edition of Stable population age distributions. found in the catalog.

Stable population age distributions.

# Stable population age distributions.

Written in English

Edition Notes

The Physical Object ID Numbers Series ST/ESA/SER.R/98 Contributions United Nations. Department of International Economic and Social Affairs. Pagination 420p. Number of Pages 420 Open Library OL20541527M

Since food to an individual depends on the population age structure, allocation varies with the age structure. It is shown that if all population members follow this allocation rule there can be two stable age distributions. At one all food is allocated to reproduction and the breeding population is composed entirely of by: 1.   The most important demographic characteristic of a population is its age-sex structure—the distribution of people's age and sex in a specific region. Age-sex pyramids (also known as population pyramids) graphically display this information to improve understanding and make comparison : Matt Rosenberg.

A population pyramid, also called an "age-gender-pyramid", is a graphical illustration that shows the distribution of various age groups in a population (typically that of a country or region of the world), which forms the shape of a pyramid when the population is growing. Males are conventionally shown on the left and females on the right, and they may be measured by raw . age 0, or all age 1). Some other properties of the stable age distribution and long-term growth rate λ1 are developed in the following exercises. Exercise Explain in words why n0(t+1)= XA a=0 falan0(t− a) () Exercise Once the population is growing at rate λ1 (i.e. once it converges to the stable age distribution) then in File Size: KB.

Stable population analysis. Comparison of reported age-sex distribution with a stable or quasi-stable population model. Inherent in the application of some demographic methods is the requirement that certain “theoretical assumptions” must be met in their application. where c(x) is the stable age distribution (A-5), v(x) is the reproductive value (A-6), b is the birth rate (A-7), and A„ is the mean age at reproduction (A-8). That is, the sensitivity of r to a change in mortality at age x is proportional to the product of the reproductive value at age x and the abundance of age x in the stable age.

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Genre/Form: Tables: Additional Physical Format: Online version: Stable population age distributions. New York: United Nations, (OCoLC) The age distribution of a stable population is jointly determined by the mortality schedule (that is, Stable population age distributions.

book the life table) to which the population has been subject and by. Age Distribution 1. Stable-age distribution. Definition: 2. Occurrence. can occur in stationary populations (B - D = 0) can occur in populations increasing or decreasing at a constant rate, i.e., constant birth and death rates in each age class.

Changing age distributions. The most well known aspect of stable population composition is the stable age distribution, first described by Euler in and since then rediscovered repeatedly: if the Malthusian parameter is α>0 and all individuals have the same survival function l, then the age of an individual sampled at random in an old population will have the density.

Stable populations are a product of the status quo; they tell us what the population will look like if fertility and mortality schedules persist Stable population age distributions.

book constant distributions. A real population in which fertility and mortality have changed little over the course of seventy or more years acquires the age distribution. Concept of a stable population considered as a limit The two assumptions ofconstant age distribution and constant mortality will define all Malthusian populations.

This is called Stable Age Distribution (S.A.D.) 4c. Now change the vital rates (Juv mort rate, Sub mort rate, Transition rate to Subadult, etc.).

Is population growth still smooth. If not, can you find the NEW Stable Age Distribution?. Return to the initial model (this one, here). Now change the Adult mort rate to What happens. In a closed, stable population, age distribution is proportional to e −ρx p(x) for 0 ≤ x ≤ ω, so a growing population with ρ > 0 is younger than a declining population with ρ population, there is a trade-off between c and by: If r= 0, the population size is constant Stable Age Distribution The stable age distribution (SAD) is reached when each age group individually always increases by the exact same value each time period Age (x) Time 1 Time 2 Time 3 Time 4 0 1 75 2 50 3 40 80 4 20 40 80 5 10 20 40 80 6 2 4 8 16File Size: KB.

A population reaches a stable-age distribution when the A) population stops growing B) Birthrate is less than the death rate C) net reproductive rate (R0) is zero D) proportion of individuals in each age group remains the same.

A population exhibiting exponential growth has a smooth curve of population increase as a function of time. Stable Age Distribution When a population grows with constant schedules of survival and fecundity, the population eventually reaches a stable age distribution. Stable age-distribution Suppose that in a constant environment, the survival probability of a female individual with age, is given by, and that its reproduction rate is.

Let denote the number of females at time having an age somewhere in the interval. Then the total number of individuals.

In the previous section, we calculated the proportional age distribution of a stable population from a stationary population using an assumed value for the growth rate. However, the growth rate of a stable population is not an arbitrary quantity, it is determined jointly by the age-specific fertility rates and mortality pattern.

Definition. A non-degenerate distribution is a stable distribution if it satisfies the following property: Let X 1 and X 2 be independent copies of a random variable X is said to be stable if for any constants a > 0 and b > 0 the random variable aX 1 + bX 2 has the same distribution as cX + d for some constants c > 0 and distribution is said to be strictly stable CDF: not analytically expressible, except for certain parameter values.

Stable Population • A population which has been subject to constant age -specific birth and death rates for an extended period of time. • Once stability is achieved: – Population growth is constant – Age distribution is constant – All age groups grow at the same rate • Stationary population is stable population with n=0.

across the entire range of ages, at a single point in time. Static tables make two important assumptions: 1) the population has a stable age structureÑthat is, the proportion of individuals in each age class does not change from generation to gen-eration, and 2) the population size is, or nearly, Size: KB.

Age-Structured Leslie Matrix Population Modeling. Learning Objectives: 1. Set up a model of population growth with age structure. Estimate the geometric growth rate (λ) from Leslie matrix calculations.

Determine the stable age distribution (SAD) of the population. Construct and interpret the age distribution graphs. Size: KB. AGE-STRUCTURED MATRIX MODELS Objectives • Set up a model of population growth with age structure.

• Determine the stable age distribution of the population. • Estimate the finite rate of increase from Leslie matrix calculations. • Construct and interpret the age distribution. tions in the age distribution.

Unlike the methods proposed by Lee, those presented here for the same population characteristics require neither the assumption of a closed population nor a popu-lation count and age distribution at one point in time (either from a census or a stable population).

The slow-growth model shows that the proportion of individuals decreases steadily with age. The stable population diagram is rounded on top; the older part of the population is a larger proportion of the population than in the other age diagrams. The rightmost diagram represents a population that may be stable or even declining.

Abstract. Many years ago A.J. Lotka () proved that a population (of one sex; for simplicity this discussion will be restricted to females) not gaining or losing by migration, and subject to an unchanging age-schedule of death rates and rates of childbearing, has an age distribution, birth rate, death rate, and rate of increase that do not change.

Abstract. This analysis of age distribution will be restncted to closed populations of human females; restricted to closed populations because to condsider the effects of migration would be unduly eomphcated; restncted to human populations because the author is a demographer rather than a biologist; and restricted to females because differences in age composition and in age Author: David P.

Smith, Nathan Keyfitz.rize this age distribution. These include generic sta-tistical measures like the mean, median and mode, as well as ratios of age groups. Also, the proportion of the population that is elderly (e.g., >65) isoften used.' The mean age issimply the average age of people in the population.

The median age is the age that divides.