Population synthesis methods - Discussion and tests on the solution uniqueness

Statistics – Computation

Scientific paper

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Computational Astrophysics, Galactic Nuclei, Metallicity, Principal Components Analysis, Star Clusters, Star Distribution, Algorithms, Early Stars, Spectral Line Width, Star Formation, Stellar Composition, Stellar Evolution

Scientific paper

New versions of previously introduced population synthesis techniques are presented. The base of equivalent widths employed in these techniques to represent the star cluster's spectral properties is analyzed with respect to its principal components and reduced to minimize degenerative effects due to internal correlation. The multiminimization technique has been enhanced by the introduction of a more rigorous statistical analysis of the set of acceptable solutions, and a representative solution is now acquired by reducing the domain of every component through a gradual convergence process. The results of tests performed show that, although a given population synthesis problem may be difficult to solve, the input proportion is in general reproduced with an accuracy of better than 5 percent.

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