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We infer directivity from apparent source time functions (ASTFs) at regional distance and quantify the associated uncertainties. ASTFs are used for (i) modeling a propagating 1\u2010D line source from the duration data and (ii) inverting the 2\u2010D slip distribution from the full signals. Slip inversion is performed through a Popperian scheme, where random trial models are either falsified on account of large misfit, or else become members of the solution set of the inverse problem. We assess the resolution of rupture directivity representing centroid shifts from the solution set in a rose diagram. Using as example an event with well\u2010studied rupture directivity, the 2011 <jats:italic>M<jats:sub>w<\/jats:sub><\/jats:italic> 5.2 Lorca (Spain) earthquake, 1\u2010D and 2\u2010D parameterizations yield similar estimates for direction (N213\u00b0E and N220\u00b0E, respectively) and asymmetry (67:33, 65:35) of rupture propagation, as well as rupture length (2.1\u2009km, 2.7\u2009km) and speed (3.5\u2009km\/s, 3.25\u2009km\/s). The high rupture velocity\u2009\u2265\u200990% <jats:italic>v<\/jats:italic><jats:sub>S<\/jats:sub> may be held primarily responsible for the strong directivity effect of this earthquake. We show that inversion of apparent source durations is intrinsically unable to resolve highly asymmetric bilateral ruptures, while inversion of full ASTFs misses part of the signal's complexity, suggesting the presence of deconvolution artifacts. We extend the analysis to the <jats:italic>M<jats:sub>w<\/jats:sub><\/jats:italic> 4.6 foreshock of the Lorca earthquake, inferring similar directivity parameters and slip pattern as for the mainshock. The rupture toward SW of both earthquakes suggests that this direction could be inherent to the fault segment.<\/jats:p>","DOI":"10.1002\/2016jb013227","type":"journal-article","created":{"date-parts":[[2016,8,20]],"date-time":"2016-08-20T16:22:42Z","timestamp":1471710162000},"page":"6608-6626","source":"Crossref","is-referenced-by-count":19,"title":["Resolution of rupture directivity in weak events: 1\u2010D versus 2\u2010D source parameterizations for the 2011, <i>M<sub>w<\/sub><\/i> 4.6 and 5.2 Lorca earthquakes, Spain"],"prefix":"10.1029","volume":"121","author":[{"given":"J. A.","family":"L\u00f3pez\u2010Comino","sequence":"first","affiliation":[{"name":"GFZ German Research Centre for Geosciences  Potsdam Germany"},{"name":"Instituto Andaluz de Geof\u00edsica Universidad de Granada  Granada Spain"}]},{"given":"D.","family":"Stich","sequence":"additional","affiliation":[{"name":"Instituto Andaluz de Geof\u00edsica Universidad de Granada  Granada Spain"},{"name":"Departamento de F\u00edsica Te\u00f3rica y del Cosmos Universidad de Granada  Granada Spain"}]},{"given":"J.","family":"Morales","sequence":"additional","affiliation":[{"name":"Instituto Andaluz de Geof\u00edsica Universidad de Granada  Granada Spain"},{"name":"Departamento de F\u00edsica Te\u00f3rica y del Cosmos Universidad de Granada  Granada Spain"}]},{"given":"A. M. G.","family":"Ferreira","sequence":"additional","affiliation":[{"name":"Department of Earth Sciences, Faculty of Mathematical and Physical Sciences University College London  London UK"},{"name":"CERIS, Instituto Superior T\u00e9cnico Universidade de Lisboa  Lisbon Portugal"}]}],"member":"13","published-online":{"date-parts":[[2016,9,17]]},"reference":[{"key":"e_1_2_8_2_1","first-page":"41","article-title":"Par\u00e1metros de la fuente y del movimiento del suelo del terremoto de Lorca de 2011","volume":"24","author":"Alguacil de la Blanca G.","year":"2012","journal-title":"F\u00edsica de la Tierra"},{"key":"e_1_2_8_3_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1365-246X.2008.03736.x"},{"key":"e_1_2_8_4_1","doi-asserted-by":"publisher","DOI":"10.1029\/2005GL023996"},{"key":"e_1_2_8_5_1","series-title":"Calif. Div. 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