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In addition to the template quality and representativeness, also the size of the template library can be optimised. A higher number of templates increases the redshift accuracy of brighter sources, while also lowering the accuracy of fainter ones due to over-fitting. Therefore, the optimal number of templates for different brightness sub-samples are different. The results of the corresponding test are described in Sect. 6.1.1. For the brighter ( r< 22 mag) subset, we find that a library of around 75 templates gives an optimal result. where summation is over all observed passbands for a given galaxy. F j and are the observed galaxy flux and its standard deviation through passband j while F T,j is the synthetic flux of a redshifted template T through passband j.

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Parameter names in CIGALE alongside the value ranges that were used to construct the templates. 5.2 Final template selectionIn TOPz, the marginalised PDF of a galaxy is determined by the input templates since it is combined from the χ 2 values of every single template in that set. If the chosen templates do not represent the observed data, the combined PDF shape will be worsened by the unsuitable templates, which may yield a relatively low χ 2 fit to the observational data points at an otherwise random redshift. Thus, by reducing the total number of templates, we can find a template configuration that improves the overall quality of the photometric redshifts compared to an arbitrarily composed big template set. A more general solution could be made by applying a template prior to the likelihood. We split our templates into red and blue sub-types according to their cumulative spectral distribution and respectively ascribed them the prior function of either the early type or the spiral type from Benítez (2000). That is, we calculate the wavelength value where the cumulative template flux reaches 50% and then apply the spiral type to ~80% of galaxies with lower wavelength value and early type to the rest, roughly following the fractions measured for the local universe. The colour-colour representation of the sub-types can be seen in Fig. 5 where, depending on the redshift, each group of templates is separated into a redder and bluer marking denoting the red and blue sub-types, respectively. The dependence on the redshift for the early and spiral type priors differ mostly when looking at fainter galaxies (see Fig. 8). We chose the r-band magnitude as an indicator of the apparent luminosity. Our tests showed that the eventual redshift accuracy was not sensitive to the exact location of separation between red and blue galaxies. One of the unique features of TOPz is a J-PAS specific option to consider multiple passbands per filter. This option enables to take into account the dependency of filter transmission curves on the incident angle of the light, arising in the J-PAS optical system due to large field of view ( Benítez et al. 2014). When looking at an observation through a single filter in J-PAS, each galaxy will have a different passband that will be constructed based on the galaxy’s position on the frame as well as on the information how that specific tile has been observed. For a more in-depth analysis on the impact of this effect see Appendix A.

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We are a family run business with the environment in mind. Years ago, we started getting our milk delivered in glass bottles but soon ran into the conundrum of the foil lid and how to store the bottles.One way to increase the reliability of a photometric redshift estimation is the use of the odds parameter. Hernán-Caballero et al. (2021) showed that by using an odds cut (odds > 0.82) in their catalogue, ~50% of the miniJPAS galaxies reach the J-PAS redshift accuracy goal and only 5% of the galaxies would be classified as outliers. We can confirm that when using the same redshift range to calculate the odds values, the TOPz results with odds > 0.82 provides 46% galaxies that reach the J-PAS redshift accuracy goal and 4% of galaxies that are classified as outliers. When using the brighter sub-sample ( r< 22 mag), these percentages would be 48% and 4%, respectively. Therefore, a cut in odds value is, similarly to a cut in brightness, another reliable way to select a sub-sample of galaxies with better photometric redshift estimates. The outline of the paper is as follows. In Sect. 2, we give a brief overview of the Bayesian photometric redshift estimation method and in Sect. 3 an overview of our photo- z workflow TOPz. In Sect. 4, we describe the miniJPAS data. The construction of the templates, photometric corrections, and photo- z priors are described in Sect. 5. The impact of the aforementioned inputs along with the results are given in Sect. 6 and a discussion follows in Sect. 7. 2 Bayesian photometric redshift estimation 2.1 General overview Distribution of spectroscopic redshifts and r-band magnitudes of the miniJPAS sources in the test catalogue. The dashed line represent the magnitude cut of the brighter sub-sample. Isikuandmeid, mida mis tahes eesmärgil kogume, säilitatakse ainult seni, kuni see on vajalik kogumise eesmärgiks. Konkreetse ametikohaga seotud isikuandmed kustutatakse kandideerimisprotsessi lõpetamisel 1 aasta jooksul alates ametikoha täitmisest. Kui teie kandideerimine on edukas, talletatakse teie kandideerimise andmeid Orkla privaatsuspõhimõtete kohaselt töötaja andmetena.

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As explained in Sect. 5, photometric redshift estimation may depend on the set of templates used for approximating the observed spectral distribution of the galaxies. Consider the example of the best-matching template fitted to the photometry of an r = 20.6 galaxy, presented in Fig. 10. On the upper panel, the blue line and squares represent the template spectrum and the corresponding synthetic photometry, respectively, and the orange circles are the observed fluxes together with error estimates in each of the 54 narrow-band filters. Although the photometric errors are relatively large and the scatter of the observations even exceed these errors, we can quite accurately detect the major emission lines. The lower panel shows the marginalised PDF that is produced by our final template set. The PDF peak (z_ml1d) as well as the z_w1d redshift estimation (dashed blue line) are somewhat overestimated. Nevertheless, the photometric redshift is more accurate than the J-PAS target goal of d z/(l + z) < 0.003. From Fig. 3, it can be seen that the 500 brightest galaxies that we used for the template construction have redshifts z≲ 0.7 while the brighter test sample extends farther, z≲ 1. However, since evolutionary effects become important at much higher red-shifts, it is very unlikely that there are galaxy types in our test catalogue that are not represented by the 500 brightest galaxies and therefore no additional templates are needed to compensate for the redshift difference. A test on how under or over-represented templates affect the resulting redshift estimations is discussed in Sect. 6.1.1.

In Sect. 5.2, we noted that ~22% of the galaxies in the test catalogue fall outside the colour region that our templates cover. We also noted that these galaxies are fainter on average, having a median brightness of r = 21.57 mag compared to r = 21.21 mag of those galaxies that are inside the region. We find that at a fixed brightness level, the number of galaxies that reach the J-PAS accuracy goal is similar between galaxies outside the colour region and the remaining galaxies. This shows that, although the broadband colours of the templates are somewhat more restricted than those of the observed galaxies, the templates are accurate enough to yield reliable redshift estimates from the full J-PAS filter set. The most probable explanation is that the accuracy of photo- z for fainter galaxies is, due to their larger photometric uncertainties, mostly defined by the detection of emission lines and not the template broadband colours themselves.

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