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Journal Article
Demography (1968) 5 (1): 439–442.
Published: 01 March 1968
... with closed populations. 13 1 2011 © Population Association of America 1968 1968 Matrix Operator Stable Population Closed Population Latent Growth Rate Dominant Root References 1 Rogers , Andrei ( 1966 ). The Multiregional Matrix Growth Operator and the Stable...
Journal Article
Demography (2020) 57 (2): 779–797.
Published: 24 March 2020
... model’s matrix of transition probabilities can be found from the constant αs and (1) the state composition of adjacent populations, (2) ( N – 1) known probabilities, (3) ( N – 1) known transfer rates, or (4) (2 N – 1) known numbers of transfers. The scope and flexibility of constant-α models makes them...
Includes: Supplementary data
Journal Article
Demography (2006) 43 (3): 553–568.
Published: 01 August 2006
... Fertility Rate Rate Matrix Parity Distribution State Composition References Arthur , W.B. ( 1984 ). The Analysis of Linkages in Demographic Theory . Demography , 21 , 109 – 28 . 10.2307/2061031 Caswell , H. ( 2001 ). Matrix Population Models . 2nd ed Sunderland, MA...
Journal Article
Demography (1986) 23 (2): 247–259.
Published: 01 May 1986
... the rate of growth of newborns from the birth matrix and the mating rule and treats it as if it were an independent variable. By uncoupling the elements of the BMMR model, the r-equilibrium population opens the way to a simple proof that the model has an equilibrium. 17 The calculation of the r-equilibrium...
Journal Article
Demography (1971) 8 (4): 491–505.
Published: 01 November 1971
... fails. From Table 7, upper panel, we see that the numbers of averted births estimated by the application of ASMFR 501 are continuously increasing, and at a rate faster than the rate of increase of averted births under the application of the cf>-matrix. This is due to the constant value of insertions...
Journal Article
Demography (1966) 3 (2): 537–544.
Published: 01 June 1966
... repro- duces the 1960 distribution. Such a ma- trix operator appears in Figure 1. ASYMPTOTIC RATE OF GROWTH AND THE STABLE INTERRE- GIONAL AGE STRUCTURE Equation (10) defines a matrix model of population growth and distribution. With an estimated operator G and an interregional set of age distributions...
Journal Article
Demography (1976) 13 (4): 521–539.
Published: 01 November 1976
...Kao-Lee Liaw Abstract This paper shows analytically how (a) the long-run growth rate and (b) the long-run proportional distribution of an interregional population system with a time-homogeneous structural matrix are affected by small changes or errors in (a) the natural growth rates of individual...
Journal Article
Demography (2012) 49 (4): 1259–1283.
Published: 10 October 2012
... transition rate matrix, while the micro-simulation approach needs the states of the M simulated individuals and the M transition rate vectors of size N at each moment in time. Globally, therefore, micro-simulation will require less computational resources than macro-simulation when M < N...
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Journal Article
Demography (1982) 19 (4): 439–445.
Published: 01 November 1982
...W. Brian Arthur Abstract Standard proofs of the ergodic theorems of demography rely on theorems borrowed from positive matrix theory, tauberian theory, and the theory of time-inhomogeneous Markov matrices. These proofs are efficient and expedient, but they give little direct insight...
Journal Article
Demography (1994) 31 (2): 297–319.
Published: 01 May 1994
... of the (possible) multiplicity of transitions that may occur within an age interval (Coleman 1981:14).8 In general, then, one must use the procedures specified in Singer and Spilerman (1976) to transform the observed transition probability matrix into an estimated transition rate matrix, with all...
Journal Article
Demography (2003) 40 (4): 621–635.
Published: 01 November 2003
... of constant vital rates. As a generalization of the fixed-rate stable model, it has great potential value in numerous areas of demographic analysis. 14 1 2011 © Population Association of America 2003 2003 Fertility Decline Vital Rate Leslie Matrix Modeling Momentum Population Momentum...
Journal Article
Demography (1964) 1 (1): 56–73.
Published: 01 March 1964
... de poblicaón. Latent Root Matrix Operator Intrinsic Rate Population Projection Ordinary Method References 1. Leslie, P. H. “On the Use of Matrices in Certain Population Mathematics,” Biometrika , Vol. 33, pp. 184 ff. 2. Bernardelli, Harro. “Population Waves,” Journal...
Journal Article
Demography (1977) 14 (4): 591–592.
Published: 01 November 1977
...- years lived in state j between the ages of x and x + n by persons who were in state i at age x, with the nLx matrix identical in form .to the l, matrix; and niMxj represents the observed rate of per- sons in state i going to state j (the superscript d refers to the death state) between the ages of x...
Journal Article
Demography (1968) 5 (1): 382–409.
Published: 01 March 1968
... Mathematics . Biometrika , XXXIII , 183 – 212 . 10.1093/biomet/33.3.183 33 Pollard , J. H. ( 1966 ). On the Use of the Direct Matrix Product in Analyzing Certain Stochastic Population Models . Biometrika , LIII , 397 – 416 . 36 Keyfitz , N. ( 1965 ). The Intrinsic Rate...
Journal Article
Demography (1985) 22 (3): 455–468.
Published: 01 August 1985
... 1985 Product Matrix Vital Rate Eventual Population Size Theoretical Population Biology Relative Population Size References Chrystal G. ( 1959 ). Algebra. An Elementary Textbook, Vol. II . 6th Edition New York : Chelsea Publishing Company . Cohen J. E. ( 1977...
Journal Article
Demography (1991) 28 (4): 619–637.
Published: 01 November 1991
... into the effects of heterogeneity in frailty on observed mortality patterns. By noting that heterogeneity imposes a particular kind of structure on the variance-covariance matrix of cohort mortality rates, I obtain direct measures of the mean and variance of frailty at each age without relying on strong...
Journal Article
Demography (2013) 50 (5): 1615–1640.
Published: 17 September 2013
... , 215 – 230 . 10.1016/0040-5809(78)90025-4 Caswell H. ( 1989 ). Analysis of life table response experiments I. Decomposition of effects on population growth rate . Ecological Modelling , 46 , 221 – 237 . 10.1016/0304-3800(89)90019-7 Caswell H. ( 2001 ). Matrix population...
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Includes: Supplementary data
Journal Article
Demography (1971) 8 (4): 441–450.
Published: 01 November 1971
.... Sykes (1969) has also developed two other models which do not rule out year- to-year variation in birth and death rates. One of them is the usual deter- ministic matrix model with random errors added. The other is the matrix model, but with a stochastic transition matrix. In each case he estimates...
Journal Article
Demography (1969) 6 (3): 287–299.
Published: 01 August 1969
... multipliers, k being the number of schedules in the fertility sequence, and the survival rates in the mortality schedule. A numerical illustration of the theory is given using fertility data from Finland. 30 12 2010 © Population Association of America 1969 1969 Matrix Operator Successive...
Journal Article
Demography (1974) 11 (3): 473–481.
Published: 01 August 1974
..., to flesh out more fully the continuous model of multiregional population growth. THE MULTIREGIONAL NET MATERNITY FUNCTION (2)IQ} = .r: e-"M(x)P(x) {Q} dx, where M(x) is a diagonal matrix of annual age-specific rates of childbearing at age z, P(x) is the multiregional life table number-living on radix unity...
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