Search Results for Weak Ergodicity

...Young J. Kim; Zenas M. Sykes Abstract We discuss two special cases of population dynamics with changing vital rates subject to the constraint NRR = I and consider the specifics of ergodicity and stationarity. By restricting the number of age groups to two, we can make explicit the way weak...

... matrices are given. From these, relative age distribution and reproductive values to any desired accuracy are obtained as functions of the vital rates. Thus, the results given in this paper are stronger than any existing weak ergodic theorems. 9 1 2011 © Population Association of America 1985...

... on one (not necessarily constant over time) which depends only on its history of agespecific vital rates, a process called “weak ergodicity.” That consequently the subsequent birth, death, and growth rates (none of these necessarily constant over time) depend only on the history of age-specific vital...

... Society , 1 , 275 – 295 . 10.1090/S0273-0979-1979-14594-4 Feller W. ( 1968 ). Introduction to Probability Theory and its Applications . 3rd Ed. New York : Wiley . Kim Y. J. , & Sykes Z. M. ( 1976 ). An Experimental Study of Weak Ergodicity in Human Populations...

... agestructure in a closed population, is presented as a corollary of the main proposition dealt with in this article. 24 1 2011 © Population Association of America 1967 1967 Birth Function Marriage Cohort Apra Maternity Function Weak Ergodicity References 1 Ansley, J. Coale, “How...

... the con- sequences of the weak ergodic theorem of Lopez (1961). This states that the age structure of a population subjected to changing vital rates depends only on the recent history of those rates and not on the long past (historical) age structure of the population. There has been consider- able recent...

...)90031-1 Kim , Y. I. , & Sykes , Z. M. ( 1976 ). An experimental study of weak ergodicity in human populations . Theoretical Population Biology , 10 , 150 – 172 . 10.1016/0040-5809(76)90013-7 Kim , Y. I. , & Sykes. , Z. M. ( 1978 ). Dynamics of some...

... , 77 , 3749 – 3752 . 10.1073/pnas.77.7.3749 Cohen J. E. ( 1982 ). Multiregional age-structured populations with changing rates: weak and stochastic ergodic theorems . In K. C. Land , & A. Rogers (Eds.), Multidimensional Mathematical Demography (pp. 477 – 503 ). New...

... determine the number offemales of each age in period t + 1 and, proceeding iteratively, the number in each subsequent period. Under fairly weak assumptions about the initial conditions and the maternity and mortality schedules, this dynamic process con- verges to the stable age distribution.' The power...

... island. The point is that after 100years, one cannot find any evidence that the initial population had been completely distorted in both its age and sex compo- sition. This is a concrete demonstration of the weak ergodicity theorem (Lopes, 1961) or, in simpler terms, of the fact that a population...

..., University of North Carolina . McFarland , D. D. ( 1969 ). On the theory of stable population: a new and elementary proof of the theorems under weak assumptions . Demography , 6 , 301 – 322 . 10.2307/2060399 McFarland , D. D. ( 1970 ). Effects of group size on the availability...