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This paper extends Bayesian mortality projection models for multiple populations considering the stochastic structure and the effect of spatial autocorrelation among the observations. We explain high levels of overdispersion according to…

Methodology · Statistics 2021-03-08 Zhen Liu , Xiaoqian Sun , Yu-Bo Wang

Cities are typical dynamic complex systems that connect people and facilitate interactions. Revealing universal collective patterns behind spatio-temporal interactions between residents is crucial for various urban studies, of which we are…

Physics and Society · Physics 2024-06-11 Chenxin Liu , Yu Yang , Bingsheng Chen , Tianyu Cui , Fan Shang , Jingfang Fan , Ruiqi Li

The diversity and density of urban functions have been known to affect urban vibrancy positively, but the relation between the two has not been empirically examined; if high density is associated with low diversity in an area, its vibrancy…

Computers and Society · Computer Science 2021-06-24 Yusuke Kumakoshi , Hideki Koizumi , Yuji Yoshimura

Structured populations are ubiquitous across the biological sciences. Mathematical models of these populations allow us to understand how individual physiological traits drive the overall dynamics in aggregate. For example, linear age- or…

Analysis of PDEs · Mathematics 2022-04-25 Sabina L. Altus , Jeffrey C. Cameron , David M. Bortz

City-size distributions follow an approximate power law in various countries despite high volatility in relative city sizes over time. Our empirical evidence for the United States and Japan indicates that the scaling law stems from a…

General Economics · Economics 2023-04-25 Tomoya Mori , Takashi Akamatsu , Yuki Takayama , Minoru Osawa

City size distributions are known to be well approximated by power laws across a wide range of countries. But such distributions are also meaningful at other spatial scales, such as within certain regions of a country. Using data from…

General Economics · Economics 2019-07-30 Tomoya Mori , Tony E. Smith , Wen-Tai Hsu

Using demographic data of high spatial resolution for a region in the south of Europe, we study the population over fixed-size spatial cells. We find that, counterintuitively, the distribution of the number of inhabitants per cell increases…

Physics and Society · Physics 2022-12-07 Alvaro Corral , Montserrat García del Muro

Attributes which are infrequently expressed in a population can require weeks or months of counting to reach statistical significance. But replacement in a stable population increases long-term counts to a degree determined by the…

Computational Geometry · Computer Science 2018-08-21 Aubrey G. Jaffer , Martin S. Jaffer

This thesis focuses on characterizing the distribution of points and galaxies using multifractal analysis. In this attempt the main emphasis is on calculating the Minkowski-Bouligand fractal dimension (Dq) of the distribution of points over…

Cosmology and Nongalactic Astrophysics · Physics 2009-10-06 Jaswant K. Yadav

Cities are complex systems, their complexity manifests itself through fractality of their spatial structures and by power law distributions (scaling) of multiple urban attributes. Here we report on the previously unreported manifestation of…

Physics and Society · Physics 2021-02-03 Tomasz F. Stepinski , Anna Dmowska

We develop a Bayesian state-space model for analyzing the dynamic evolution of income distributions using grouped income data. The model combines the generalized beta distribution of the second kind (GB2) with latent time-varying parameters…

Econometrics · Economics 2026-05-19 Kazuhiko Kakamu

Modelling and forecasting homogeneous age-specific mortality rates of multiple countries could lead to improvements in long-term forecasting. Data fed into joint models are often grouped according to nominal attributes, such as geographic…

Methodology · Statistics 2022-01-05 Chen Tang , Han Lin Shang , Yanrong Yang

This paper proposes a new method to analyze the spatial structure of urban systems using ideas from fractals. Regarding a system of cities as a set of "particles" distributed randomly on a triangular lattice, we construct a spatial…

Physics and Society · Physics 2016-06-15 Yanguang Chen , Shiguo Jiang

Ignoring the differences between countries, human reproductive and dispersal behaviors can be described by some standardized models, so whether there is a universal law of population growth hidden in the abundant and unstructured data from…

Physics and Society · Physics 2024-02-08 Jiajun Ma , Qinghua Chen , Xiaosong Chen , Jingfang Fan , Xiaomeng Li , Yi Shi

We study distributions which have both fractal and non-fractal scale regions by introducing a typical scale into a scale invariant system. As one of models in which distributions follow power law in the large scale region and deviate…

Statistical Mechanics · Physics 2008-12-18 Atushi Ishikawa , Tadao Suzuki

The spatial pattern of urban-rural regional system is associated with the dynamic process of urbanization. How to characterize the urban-rural terrain using quantitative measurement is a difficult problem remaining to be solved. This paper…

Physics and Society · Physics 2018-12-19 Yanguang Chen

Quantifying the spatial organization of human settlements is fundamental to understanding the complexity of urban systems. However, the quantitative patterns of the distribution of villages, towns, and cities that lie between random and…

Physics and Society · Physics 2023-07-06 Lei Dong

Spatial distribution of the human population is distinctly heterogeneous, e.g. showing significant difference in the population density between urban and rural areas. In the historical perspective, i.e. on the timescale of centuries, the…

Adaptation and Self-Organizing Systems · Physics 2022-08-30 Anna Zincenko , Sergei Petrovskii , Vitaly Volpert

Recent results on the detection of substructure in dwarf spheroidal galaxies are discussed. In most cases they show that, when a galaxy experiences multiple SF episodes, the intermediate age population is more centrally concentrated than…

Astrophysics · Physics 2007-05-23 Ivo Saviane , Enrico V. Held , Yazan Momany , Luca Rizzi

Many large cities are found at locations with certain first nature advantages. Yet, those exogenous locational features may not be the most potent forces governing the spatial pattern of cities. In particular, population size, spacing and…

General Economics · Economics 2019-08-27 Tomoya Mori