Reproductive value by Dalkhat Ediev
Mathematical Modelling, 2005
Using results of the demographic potential theory optimal time schedules of the population policy... more Using results of the demographic potential theory optimal time schedules of the population policy are analyzed, which could solve the problem of Russian depopulation. Necessary births and immigration improvements are estimated for scenarios of full and partial compensation for Russian demographic losses since the end of XX century.
Исследовано в России, 2001
Demographic Research, 2003
The paper introduces, for age-distribution population vectors, a class of distances to the stable... more The paper introduces, for age-distribution population vectors, a class of distances to the stable equivalent; each of these distances converges monotonically to zero as the population approaches stability. The Kullback distance, considered earlier to be unique as a measure with this property, turns out to be a mere specimen of this class. It is shown that the very feature of monotonic convergence agrees with demographic potential of age specific stabilization measures. The paper also introduces a class of monotonic measures of the convergence to each other of two non-stable populations with similar reproduction regimes. Numerical illustrations and demographic applications conclude the paper.
Demographic Research, 2001
3.2.4 Consequences of World War II and postwar trends in Soviet Russia 3.2.5 Russian population a... more 3.2.4 Consequences of World War II and postwar trends in Soviet Russia 3.2.5 Russian population after the crush of the Soviet Union 4. Demographic prospects of Russia 4.1 Results and implications of US Census Bureau projections 4.2 Alternative scenarios of Russian population trends in the XXI century 4.3 Can fertility recovery or higher immigration keep Russia from depopulation? 4.4 Comparative analyses of different population projections 5. Conclusions 6. Acknowledgements Notes References A. Appendix A. Concept of demographic potential and related issues A.1 Fishers' reproductive value A.2 Potential of population growth A.3 Stable equivalent and population momentum A.4 Demographic potential B. Appendix B. Aggregate population modeling and forecasting Demographic Research-Volume 4, Article 9 http://www.demographic-research.org
Theoretical Population Biology, 2007
A classical result by Fisher concerning reproductive value dynamics is extended to the case of va... more A classical result by Fisher concerning reproductive value dynamics is extended to the case of varying vital rates with a constant cohort Lotka's r. Based on the demographic potential approach, a generalization of the concept of reproductive value is introduced, which exhibits exponential dynamics both in the classical case of constant vital rates and in a wider class of populations. The generalized reproductive value introduced in this paper fits the classical interpretation by Fisher as a discounted sum of future births in the general class of models addressed here. Our results show when Fisher's classical results may be used as good approximations. They could also be of importance for estimating the fitness of biological populations, aggregate population modeling, and studying the long-term consequences of varying vital rates.
Journal of Mathematical Biology, 2009
Theoretical Population Biology, 2010
The eigenvalues of a population projection matrix-except for the Lotka coefficient-are uniquely d... more The eigenvalues of a population projection matrix-except for the Lotka coefficient-are uniquely determined by the reproductive values and the survival. This relation (proposed earlier, but not really well known in western literature) follows from another useful relation between fertility, reproductive values, survival, and Lotka's coefficient. These results are applied to provide demographic interpretations to the intrinsically dynamic and metastable population models by Schoen and co-workers.
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Reproductive value by Dalkhat Ediev
The study reveals antique elements, traced both in the overall dimensions and in the details of the proportions of the mausoleum and its images. The dimensions are maintained in Roman feet, as in the famous Arkhyz Circle, and the proportions are systematically based on the golden section, the "living square" and the roots of two and five, characteristic of ancient Greek religious buildings. These characteristics harmoniously complement the previously discovered parallels between the iconography of the monument and the Caucasian Nart epic in its Karachay-Balkar version. It is assumed that the penetration of antique elements is associated with the influence of the Byzantine Neoplatonists, after their defeat by the Comneni in the 1080s, on the political and religious turn in Caucasian Alania. We managed to restore the probable ideal geometric shape of the trapezoid " Babylon ", which served as a standard for antique sizes and proportions and is depicted on the facade of the monument. This unique instrument was probably an innovation of late Alania, dating back to the traditions of the ancient Turkuts , Khazar -Bulgars and the ideas of the Neoplatonists. Based on the reconstruction of the historical context, we date the mausoleum to the first quarter of the 12th century.