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We have run a set of SP burst-like models for a sample of 1558 sources at 3.4 &amp;lt; z &amp;lt; 6.8 from the Survey for High-z Absorption Red and Dead Sources (SHARDS) over the GOODS-N field. This work focuses on the differences between the three different observational subfamilies of our sample: LAE\u2013LBGs, no-Ly\u2009\u03b1 LBGs, and pure LAEs. Single and double SP synthetic spectra were used to model the spectral energy distributions, adopting a Bayesian information criterion to analyze under which situations a second SP is required. We find that the sources are well modelled using a single SP in $\\sim 79{{\\ \\rm per\\ cent}}$ of the cases. The best models suggest that pure LAEs are typically young low-mass galaxies ($t\\sim 26^{+41}_{-25}$\u2009Myr; $M_{\\mathrm{star}}\\sim 5.6^{+12.0}_{-5.5}\\times 10^{8}\\ M_{\\odot }$), undergoing one of their first bursts of star formation. On the other hand, no-Ly\u2009\u03b1 LBGs require older SPs (t \u223c 71\u00a0\u00b1\u00a012\u2009Myr), and they are substantially more massive (Mstar \u223c 3.5\u00a0\u00b1\u00a01.1\u00a0\u00d7\u00a0109\u2009M\u2299). LAE\u2013LBGs appear as the subgroup that more frequently needs the addition of a second SP, representing an old and massive galaxy caught in a strong recent star-forming episode. The relative number of sources found from each subfamily at each z supports an evolutionary scenario from pure LAEs and single SP LAE\u2013LBGs to more massive LBGs. Stellar mass functions are also derived, finding an increase of M* with cosmic time and a possible steepening of the low-mass slope from z \u223c 6 to z \u223c 5 with no significant change to z \u223c 4. Additionally, we have derived the SFR\u2013Mstar relation, finding an $\\mathrm{SFR}\\propto M_{\\mathrm{star}}^{\\beta }$ behaviour with negligible evolution from z \u223c 4 to z \u223c 6.<\/jats:p>","DOI":"10.1093\/mnras\/staa1196","type":"journal-article","created":{"date-parts":[[2020,4,29]],"date-time":"2020-04-29T19:46:51Z","timestamp":1588189611000},"page":"1807-1824","source":"Crossref","is-referenced-by-count":18,"title":["Differences and similarities of stellar populations in LAEs and LBGs at z \u223c 3.4\u22126.8"],"prefix":"10.1093","volume":"495","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7959-8783","authenticated-orcid":false,"given":"P","family":"Arrabal\u00a0Haro","sequence":"first","affiliation":[{"name":"Instituto de Astrof\u00edsica de Canarias (IAC), E-38205 La Laguna, Spain"},{"name":"Departamento de Astrof\u00edsica, Universidad de La Laguna, E-38206 La Laguna, 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Laguna, E-38206 La Laguna, Spain"}]},{"given":"M","family":"Boquien","sequence":"first","affiliation":[{"name":"Centro de Astronom\u00eda (CITEVA), Universidad de Antofagasta, Avenida Angamos 601, 02800 Antofagasta, Chile"}]},{"given":"A","family":"Hern\u00e1n-Caballero","sequence":"first","affiliation":[{"name":"Centro de Estudios de F\u00edsica del Cosmos de Arag\u00f3n (CEFCA), Plaza San Juan 1, -2, E-44001 Teruel, Spain"}]},{"given":"L","family":"Rodr\u00edguez-Mu\u00f1oz","sequence":"first","affiliation":[{"name":"Dipartimento di Fisica e Astronomia, Universit\u00e1 di Padova, vicolo dell\u2019Osservatorio 2, I-35122 Padova, Italy"}]},{"given":"B","family":"Alcalde\u00a0Pampliega","sequence":"first","affiliation":[{"name":"Departamento de F\u00edsica de la Tierra y Astrof\u00edsica, Faultad de CC F\u00edsicas, Universidad Complutense de Madrid, E-2840 Madrid, Spain"},{"name":"Isaac Newton Group of Telescopes (ING), Apto. 321, E-38700 Santa Cruz de la Palma, Canary Islands, 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