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In this paper we study spatially clustered distribution of individuals using point process theory. In particular we discuss the spatially explicit neutral model of population dynamics of Shimatani (2010) which extends previous works on Malécot theory of isolation by distance. We reformulate Shimatani model of replicated Neyman-Scott process to allow for a general dispersal kernel function and we show that the random migration hypothesis can be substituted by the long dispersal distance property of the kernel. Moreover, the extended framework presented here is fit to handle spatially explicit statistical estimators of genetic variability like Moran autocorrelation index or Sørensen similarity index. We discuss the pivotal role of the choice of dispersal kernel for the above estimators in a toy model of dynamic population genetics theory.
This article was published in the following journal.
Name: Theoretical population biology
Population dynamics models have long assumed that populations are composed of a restricted number of groups, where individuals in each group have identical demographic rates and where all groups are s...
Population structure can have a significant effect on evolution. For some systems with sufficient symmetry, analytic results can be derived within the mathematical framework of evolutionary graph theo...
Understanding the infection and pathogenesis mechanism of hepatitis B virus (HBV) is very important for the prevention and treatment of hepatitis B. Mathematical models contribute to illuminate the dy...
To prevent the transmissions of mosquito-borne diseases (e.g., malaria, dengue fever), recent works have considered the problem of using the sterile insect technique to reduce or eradicate the wild mo...
We revisit the classical epidemiological SIS model as a stochastic point pattern dynamics with special focus on its spatial distribution at equilibrium. In this model, each point on a continuous space...
New markers of viral activity are now under investigation. Aim of the study is to investigate the efficacy of new antiretroviral drugs by monitoring HIV-DNA dynamics in HIV-positive popula...
The purpose of this study will be to assess the effect that the application of deep trigger point dry needling to latent trigger points has on strength measurements. Specifically, the effe...
A population baseline longitudinal study in a major residual malaria hotspot in Brazil to: 1. identify risk factors for residual malaria infection and disease at individual and household l...
Developmental changes in physiology during childhood influence drug dosing. Failure to account for these changes leads to improper dosing, which is associated with decreased drug efficacy ...
The development of in vivo biomarkers sensitive to myelin disruption represents a major clinical need to be able to monitor the demyelination processes as well as the effect of remyelinati...
Statistical models of the production, distribution, and consumption of goods and services, as well as of financial considerations. For the application of statistics to the testing and quantifying of economic theories MODELS, ECONOMETRIC is available.
The pattern of any process, or the interrelationship of phenomena, which affects growth or change within a population.
Morphological or behavioral traits influenced by various living conditions that a population encounters especially as it pertains to REPRODUCTION and survival of the population (see POPULATION DYNAMICS) such as age at first reproductive event, number and size of offspring, and lifespan.
Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment.
Statistical models used in survival analysis that assert that the effect of the study factors on the hazard rate in the study population is multiplicative and does not change over time.