{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,18]],"date-time":"2026-04-18T15:19:54Z","timestamp":1776525594503,"version":"3.51.2"},"reference-count":18,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2021,6,23]],"date-time":"2021-06-23T00:00:00Z","timestamp":1624406400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100010198","name":"Ministerio de Econom\u00eda, Industria y Competitividad, Gobierno de Espa\u00f1a","doi-asserted-by":"publisher","award":["FIS2017-84151-P"],"award-info":[{"award-number":["FIS2017-84151-P"]}],"id":[{"id":"10.13039\/501100010198","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010198","name":"Ministerio de Econom\u00eda, Industria y Competitividad, Gobierno de Espa\u00f1a","doi-asserted-by":"publisher","award":["DEP2015-67231-R"],"award-info":[{"award-number":["DEP2015-67231-R"]}],"id":[{"id":"10.13039\/501100010198","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The aim of the current study was twofold: (i) to investigate the distribution of the strike positions of badminton players while quantifying the corresponding standard entropy and using an alternative metric (spatial entropy) related to winning and losing points and random positions; and (ii) to evaluate the standard entropy of the receiving positions. With the datasets of 259 badminton matches, we focused on the positions of players\u2019 strokes and the outcome of each point. First, we identified those regions of the court from which hits were most likely to be struck. Second, we computed the standard entropy of stroke positions, and then the spatial entropy, which also considers the order and clustering of the hitting locations in a two-dimensional Euclidean space. Both entropy quantifiers revealed high uncertainty in the striking position; however, specific court locations (i.e., the four corners) are preferred over the rest. When the outcome of each point was taken into account, we observed that the hitting patterns with lower entropy were associated with higher probabilities of winning points. On the contrary, players striking from more random positions were more prone to losing the points.<\/jats:p>","DOI":"10.3390\/e23070799","type":"journal-article","created":{"date-parts":[[2021,6,23]],"date-time":"2021-06-23T11:28:41Z","timestamp":1624447721000},"page":"799","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Entropy of Badminton Strike Positions"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0706-4317","authenticated-orcid":false,"given":"Javier","family":"Galeano","sequence":"first","affiliation":[{"name":"Complex System Group, Universidad Polit\u00e9cnica de Madrid, 28040 Madrid, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9585-3158","authenticated-orcid":false,"given":"Miguel-\u00c1ngel","family":"Gomez","sequence":"additional","affiliation":[{"name":"Department of Social Sciences, Physical Activity, Sport and Leisure, Universidad Polit\u00e9cnica de Madrid, 28031 Madrid, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7327-3312","authenticated-orcid":false,"given":"Fernando","family":"Rivas","sequence":"additional","affiliation":[{"name":"Spanish Badminton Federation, 28040 Madrid, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9345-599X","authenticated-orcid":false,"given":"Javier M.","family":"Buld\u00fa","sequence":"additional","affiliation":[{"name":"Complex System Group & GISC, Universidad Rey Juan Carlos, 28933 M\u00f3stoles, Spain"},{"name":"Laboratory of Biological Networks, Center for Biomedical Technology, Universidad Polit\u00e9cnica de Madrid, 28223 Pozuelo de Alarc\u00f3n, Spain"}]}],"member":"1968","published-online":{"date-parts":[[2021,6,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1007\/s40279-014-0287-2","article-title":"The Science of Badminton: Game Characteristics, Anthropometry, Physiology, Visual Fitness and Biomechanics","volume":"45","author":"Phomsoupha","year":"2015","journal-title":"Sport. Med."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Cohen, C., Texier, B.D., Qu\u00e9r\u00e9, D., and Clanet, C. (2015). The physics of badminton. New J. Phys., 17.","DOI":"10.1088\/1367-2630\/17\/6\/063001"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Torres-Luque, G., Fern\u00e1ndez-Garc\u00eda, \u00c1.I., Blanca-Torres, J.C., Kondric, M., and Cabello-Manrique, D. (2019). Statistical differences in set analysis in badminton at the RIO 2016 olympic games. Front. Psychol., 10.","DOI":"10.3389\/fpsyg.2019.00731"},{"key":"ref_4","first-page":"216","article-title":"Time Motion and Notational Analysis of 21 Point and 15 Point Badminton Match Play","volume":"2","author":"Ming","year":"2008","journal-title":"Int. J. Sport. Sci. Eng."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Gomez, M.\u00c1., Rivas, F., Connor, J.D., and Leicht, A.S. (2019). Performance differences of temporal parameters and point outcome between elite men\u2019s and women\u2019s badminton players according to match-related contexts. Int. J. Environ. Res. Public Health, 16.","DOI":"10.3390\/ijerph16214057"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Gomez, M.A., Leicht, A.S., Rivas, F., and Furley, P. (2020). Long rallies and next rally performances in elite men\u2019s and women\u2019s badminton. PLoS ONE, 15.","DOI":"10.1371\/journal.pone.0229604"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1007\/s12662-019-00591-4","article-title":"Analysis of challenge request success according to contextual variables in elite badminton","volume":"49","author":"Primo","year":"2019","journal-title":"Ger. J. Exerc. Sport Res."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1080\/24748668.2014.11868701","article-title":"Notational comparison of men\u2019s singles badminton matches between Olympic Games in Beijing and London","volume":"14","author":"Castanedo","year":"2014","journal-title":"Int. J. Perform. Anal. Sport"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"G\u00f3mez, M.\u00c1., Rivas, F., Leicht, A.S., and Buld\u00fa, J.M. (2020). Using network science to unveil badminton performance patterns. Chaos Solitons Fractals, 135.","DOI":"10.1016\/j.chaos.2020.109834"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Severini, T. (2020). Analytic Methods in Sports: Using Mathematics and Statistics to Understand Data from Baseball, Football, Basketball, and Other Sports, CRC Press.","DOI":"10.1201\/9780367252090"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"3385","DOI":"10.1519\/JSC.0b013e3182474269","article-title":"Attack and serve performances according to the match period and quality of opposition in elite volleyball matches","volume":"26","author":"Arcelino","year":"2012","journal-title":"J. Strength Cond. Res."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Couceiro, M., Clemente, F., Dias, G., Mendes, P., Martins, F., and Mendes, R. (2014). On an Entropy-based Performance Analysis in Sports. MDPI AG.","DOI":"10.3390\/ecea-1-a008"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"753","DOI":"10.1080\/24748668.2016.11868921","article-title":"Application of entropy measures to analysis of performance in team sports","volume":"16","author":"Silva","year":"2016","journal-title":"Int. J. Perform. Anal. Sport"},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Mart\u00ednez, J.H., Garrido, D., Herrera-Diestra, J.L., Busquets, J., Sevilla-Escoboza, R., and Buld\u00fa, J.M. (2020). Spatial and temporal entropies in the Spanish football league: A network science perspective. Entropy, 22.","DOI":"10.3390\/e22020172"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"445","DOI":"10.2307\/1931034","article-title":"Distance to Nearest Neighbor as a Measure of Spatial Relationships in Populations","volume":"35","author":"Clark","year":"1954","journal-title":"Ecology"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1016\/j.humov.2013.07.016","article-title":"A dynamical system perspective to understanding badminton singles game play","volume":"33","author":"Chow","year":"2014","journal-title":"Hum. Mov. Sci."},{"key":"ref_17","first-page":"584","article-title":"Changes in the game characteristics of a badminton match: A longitudinal study through the olympic game finals analysis in men\u2019s singles","volume":"14","author":"Laffaye","year":"2015","journal-title":"J. Sport. Sci. Med."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"412","DOI":"10.1177\/1747954120915670","article-title":"Does the presence of an opponent affect object projection accuracy in elite athletes? A study of the landing location of the short serve in elite badminton players","volume":"15","author":"Vial","year":"2020","journal-title":"Int. J. Sport. Sci. 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