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Full-Text Articles in Physical Sciences and Mathematics
Simulating And Animating The Spatial Dynamics Of Interacting Species Living On A Torus, Boyan Kostadinov
Simulating And Animating The Spatial Dynamics Of Interacting Species Living On A Torus, Boyan Kostadinov
Publications and Research
The goal of this talk is to present a student research project in computational population biology, which aims at creating a computer simulation and animation of the spatial dynamics of interactions between two kinds of species living on a torus-shaped universe. The habitat for spatial interactions is modeled by a 2D lattice with periodic boundary conditions, which wrap the rectangular grid into a torus. The spatial interactions between the species have two components: 1. Population dynamics modeled by the classical Nicholson-Bailey two-parameter family of models for coupled interactions between species, extended to incorporate space and 2. Two-parameter migration dynamics, modeled …
Generalized Least-Squares Regressions V: Multiple Variables, Nataniel Greene
Generalized Least-Squares Regressions V: Multiple Variables, Nataniel Greene
Publications and Research
The multivariate theory of generalized least-squares is formulated here using the notion of generalized means. The multivariate generalized least-squares problem seeks an m dimensional hyperplane which minimizes the average generalized mean of the square deviations between the data and the hyperplane in m + 1 variables. The numerical examples presented suggest that a multivariate generalized least-squares method can be preferable to ordinary least-squares especially in situations where the data are ill- conditioned.