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Buzzoni, A.:
"Statistical properties of stellar populations and surface-brightness fluctuations in galaxies",
1993, Astron. Astrophys., 275, 433.

Summary:
The statistical concepts of effective stellar contributors, and effective luminosity of a stellar population are introduced and discussed in the framework of the SSP theory relying on Buzzoni's (1989) models. The results have been applied to the Tonry-Schneider (1988) method on galaxy surface-brightness fluctuations deriving new distances for M32 and galaxies in the Virgo, Leo, Fornax, and Eridanus clusters.



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   ASCII file Table 1a - SSP models for s = 1.35 (η = 0.3, R-HB)
   ASCII file Table 1b - SSP models for s = 1.35 (η = 0.5, R-HB)
   ASCII file Table 2a - SSP models for s = 2.35 (η = 0.3, R-HB)
   ASCII file Table 2b - SSP models for s = 2.35 (η = 0.5, R-HB)
   ASCII file Table 3a - SSP models for s = 3.35 (η = 0.3, R-HB)
   ASCII file Table 3b - SSP models for s = 3.35 (η = 0.5, R-HB)
   ASCII file Table 4 - Effective contributors for SSP models with R-HB (s = 2.35, η = 0.3, R-HB)
   ASCII file Table 5 - SSP models for globular clusters (s = 2.35, η = 0.3)
   ASCII file Table 6 - Data and derived distances of galaxies
Figure 1 - Logarithm of effective luminosity (l_eff) and number contributors (N_eff) for a 15 Gyr simple stellar population of solar metallicity with Salpeter IMF. A direct relationship links l_eff and N_eff with the total luminosity of the population (L_TOT) also displayed: i.e. L_TOT = l_eff x N_eff. Data have been normalized to a total bolometric luminosity of 1E07 L_sun.
Figure 2a,b - Effective and integrated colors for the SSPs of Table 1-3. It is evident in panel (a) the hooked feature with effective (B − V) turning back to the blue with increasing metallicity. The same happens to effective (V − K) in panel (b), but in the opposite sense and at low metallicity (see text for discussion). Both (B − V) and (V − K) are from Buzzoni (1989).
Figure 3 - Effective magnitudes in the Johnson V, R, and I bands of SSPs in Table 2a versus their integrated (B − V). The upper envelope for the models in the different bands is for 8 Gyr populations, while lower envelope is for 15 Gyr. Lines within the envelopes trace time evolution of populations with fixed metallicity. Note the complex behaviour of effective V at low metallicity.
Figure 4 - Same as Fig. 3, but versus integrated (V − K).
Figure 5 - Effective magnitudes for composite stellar populations. Each shaded area is defined by the envelopes at the different bands of any possible stellar combination from a mixture of 15 Gyr SSPs listed in Table 2a. Both for effective V and R, the composite population always results in a brighter effective luminosity at a given (V − K), with models lying in the figure above the loci expected for SSps (i.e. the lower edge in each envelope, cf. also Fig. 4). The opposite trend is found for effective I, but with negligible departure of composite models from the loci for SSPs.
Figure 6 - Comparison between the whole set of 15 Gyr models in Tables 1-3 (black strips) and the composite locus for the models of Tonry, Ajhar, and Luppino (1990) (green areas). Both colors and effective magnitudes are in the Johnson system.
Figure 7 - Comparison between effective colors expected for the SSP models in Tables 1-3 and observations by Tonry, Ajhar and Luppino (1990) of elliptical galaxies in the Virgo cluster (magnitudes are dereddened and transformed to the Johnson system). The supplementary point for M32 is also marked. Galaxies seem to lye at exceedingly low metallicities with respect to SSP models with similar integrated colors. The reason is an excess effective V luminosity causing bluer effective colors. As discussed in the text, this might be induced by the contamination of a metal-poor stellar component. The dashed line displays the change expected for a 15 Gyr Salpeter SSP with [Fe/H]= +0.22 by adding an increasing fraction of a similar metal-poor SSP with [Fe/H] = -2.27. Marked along the curve is a 10% and 20% total V contribution of the metal-poor population moving to bluer colors.



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