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Journal Article
Demography (1966) 3 (2): 537–544.
Published: 01 June 1966
... processes is becoming increasingly apparent. Recently several demographers have taken advantage of the conceptual elegance and computational simplicity of matrix methods of population analysis. Their models, however, assume a “closed” population which is subject only to the processes of fertility...
Journal Article
Demography (1970) 7 (3): 349–360.
Published: 01 August 1970
.... For large samples, we here present: the eovarianee matrix (where defined) of the moment estimators, methods of obtaining maximum likelihood estimates and their eovarianee matrix, and the variances of estimates of specified moments of the feeundability of the sample, Results were obtained for three sets...
Journal Article
Demography (1967) 4 (2): 515–531.
Published: 01 June 1967
... frequently have had to rely on crudely constructed measures of natural increase and net migration. Recent efforts to express interregional population growth in matrix form, however, suggest a method for estimating the regime of growth of a multiregional system solely on the basis of historical data...
Journal Article
Demography (1965) 2 (1): 372–385.
Published: 01 March 1965
... permitiría anticipar las diferencias en las dimensiones del “familismo” en el espacio y en el tiempo. Ecological Factor Positive Loading Negative Loading Significant Loading Large Matrix References 1 Sweetser, “Factor Structure as Ecological Structure in Helsinki and Boston,” Acta...
Journal Article
Demography (2012) 49 (4): 1259–1283.
Published: 10 October 2012
... is repeatedly applied to a vector of state probabilities (state occupancies). A deterministic or “macro-simulation” approach simply carries out a repeated application of the transition matrix. For a model with N states, this process requires an N × N transition probability matrix. When there are a large...
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Journal Article
Demography (1968) 5 (1): 382–409.
Published: 01 March 1968
... demografiá y a la teoría matemática del desarrollo de la población. Summary This article presents an elementary approach to the study of the population projection-matrix, the reverse (or inverse) projection-matrix, the process of population growth generated by the projection-matrix, the “prior” process...
Journal Article
Demography (2013) 50 (5): 1615–1640.
Published: 17 September 2013
..., standard deviation, variance, Theil’s index, mean logarithmic deviation, and interquartile range). We derive each of these indices from an absorbing Markov chain formulation of the life table, and use matrix calculus to obtain the sensitivity and the elasticity (i.e., the proportional sensitivity...
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Includes: Supplementary data
Journal Article
Demography (1966) 3 (1): 259–275.
Published: 01 March 1966
... and parity with nine five-year age groups and eight classes of parity involves a 51 X 51 matrix." Solving such large matrices is feasible only with the electronic computer; for the demographer it is often not feasible then. Computer programming in one of the symbolic languages, such as FORTRAN or 4 N...
Journal Article
Demography (1971) 8 (4): 441–450.
Published: 01 November 1971
... (m + 1)2 X (m + 1) matrix with elements that X = AY has the N(O, distri- 0, i, Ui or ri' (7) is a special case of bution, where Quine's formula (25) (Quine, 1970). If the number of females in some age groups below menopause at time 0 are large enough, then XT is approximately distributed as a multi...
Journal Article
Demography (2003) 40 (4): 621–635.
Published: 01 November 2003
... projection equation: xt = F tx0. (7) For a sufficiently large t, Ft becomes a Rank 1 matrix,2 that is, it can be written as (Caswell 1989) Ft = F tuFvF = uFvF , (8) with the second equality holding because F is 1. Column vector uF, the dominant right eigenvector of F, describes the age composition...
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. Matrix Operator Successive Period Cyclical Model Model Life Table Fertility Schedule...
Journal Article
Demography (1964) 1 (1): 194–211.
Published: 01 March 1964
... factor as well as to provide the smallest possible residuals at each successive stage. Thus a given correlation matrix may be condensed into the smallest number of orthogonal factors by this method. Another advantage of this method is the fact that it yields a mathematically unique (in least squares...
Journal Article
Demography (1990) 27 (1): 149–163.
Published: 01 February 1990
... generalized stable population relationships. The method consists essentially of iteratively adjusting rows and columns of an initial guess matrix so that the application of the resultant transition matrix to the true age distribution produces the recorded age distribution. The initial guess matrix can...
Journal Article
Demography (1986) 23 (2): 247–259.
Published: 01 May 1986
... at the largest rate in the birth matrix, there exists an r sufficiently large that the number of newborns in period t + 1 is less than unity. That is, there exists an i, !. < i, for which l/i..f...
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 (1968) 5 (1): 439–442.
Published: 01 March 1968
... teoría de poblaciones estables tratan con poblaciones cerradas. Summary The distribution of population among several age groups and regional locations is transformed from one time point to another by means of a matrix operator that was recently formulated by Rogers in this journal. Rogers discussed...
Journal Article
Demography (1970) 7 (3): 341–348.
Published: 01 August 1970
..., on the inter- relation between their various components, and on their relation to the patterns of fertility, mortality and mobility which generate them. Yl o1) age group. In place of a matrix whose entries are numbers, one considers a matrix whose entries are matriees de- scribing both the fertility...
Journal Article
Demography (1971) 8 (4): 491–505.
Published: 01 November 1971
... are a selective group from the general population with respect to a number of demographic and biological characteristics, including the initial susceptibility status at the time of adoption. In the present paper a matrix of annual birth probabilities specific to age at adoption of a method and duration since...
Journal Article
Demography (1966) 3 (1): 19–34.
Published: 01 March 1966
... occupational class in any direct a If the transition matrix between the initial state and the immediately following state of a first-order Markov chain with constant transition probabilities is given by the matrix P, then the transition matrices between the initial state of the system and its state after 2, 3...
Journal Article
Demography (1975) 12 (2): 291–301.
Published: 01 May 1975
...- + a2 Var (6) - 2ab Cov (ab (8) torial moment of the truncated distribu- The variance of exists only when the tion. Then relevant covariance matrix exists. d = [(6m*121)2 + 2(t - l)(t + 1)(m*111)2 - 6m*lllm*lal - 3(t + 3)m*lllm*121 - 2(t + l)(t - 4)m*[21 - 2(t + l)(t - l)m*[l] + 3(t + 1)m*laJ3m*12J)2...
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