{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,17]],"date-time":"2025-11-17T14:21:28Z","timestamp":1763389288768,"version":"build-2065373602"},"reference-count":22,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2020,1,19]],"date-time":"2020-01-19T00:00:00Z","timestamp":1579392000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100014440","name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","doi-asserted-by":"publisher","award":["TIN2016- 77902-C3-3-P"],"award-info":[{"award-number":["TIN2016- 77902-C3-3-P"]}],"id":[{"id":"10.13039\/100014440","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Socio-ecological systems are recognized as complex adaptive systems whose multiple interactions might change as a response to external or internal changes. Due to its complexity, the behavior of the system is often uncertain. Bayesian networks provide a sound approach for handling complex domains endowed with uncertainty. The aim of this paper is to analyze the impact of the Bayesian network structure on the uncertainty of the model, expressed as the Shannon entropy. In particular, three strategies for model structure have been followed: naive Bayes (NB), tree augmented network (TAN) and network with unrestricted structure (GSS). Using these network structures, two experiments are carried out: (1) the impact of the Bayesian network structure on the entropy of the model is assessed and (2) the entropy of the posterior distribution of the class variable obtained from the different structures is compared. The results show that GSS constantly outperforms both NB and TAN when it comes to evaluating the uncertainty of the entire model. On the other hand, NB and TAN yielded lower entropy values of the posterior distribution of the class variable, which makes them preferable when the goal is to carry out predictions.<\/jats:p>","DOI":"10.3390\/e22010123","type":"journal-article","created":{"date-parts":[[2020,1,20]],"date-time":"2020-01-20T04:27:09Z","timestamp":1579494429000},"page":"123","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Analyzing Uncertainty in Complex Socio-Ecological Networks"],"prefix":"10.3390","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8253-2526","authenticated-orcid":false,"given":"Ana D.","family":"Maldonado","sequence":"first","affiliation":[{"name":"Data Analysis Research Group, University of Almer\u00eda, 04120 Almer\u00eda, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5043-6684","authenticated-orcid":false,"given":"Mar\u00eda","family":"Morales","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Almer\u00eda, 04120 Almer\u00eda, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8086-4738","authenticated-orcid":false,"given":"Pedro A.","family":"Aguilera","sequence":"additional","affiliation":[{"name":"Department of Biology and Geology, University of Almer\u00eda, 04120 Almer\u00eda, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4982-8725","authenticated-orcid":false,"given":"Antonio","family":"Salmer\u00f3n","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Almer\u00eda, 04120 Almer\u00eda, Spain"},{"name":"Department of Mathematics and Center for the Development and Transfer of Mathematical Research to Industry (CDTIME), University of Almer\u00eda, 04120 Almer\u00eda, Spain"}]}],"member":"1968","published-online":{"date-parts":[[2020,1,19]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"639","DOI":"10.1579\/0044-7447(2007)36[639:CHANS]2.0.CO;2","article-title":"Coupled human and natural systems","volume":"36","author":"Liu","year":"2007","journal-title":"AMBIO"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Rescia, A., P\u00e9rez-Corona, M.E., Arribas-Ure\u00f1a, P., and Dover, J.W. (2012). Cultural landscapes as complex adaptive systems: The cases of northern Spain and northern Argentina. Resilience and the Cultural Landscape: Understanding and Managing Change in Human-Shaped Environments, Cambridge University Press.","DOI":"10.1017\/CBO9781139107778.011"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"382","DOI":"10.1890\/110082","article-title":"Future landscapes: Managing within complexity","volume":"10","author":"Parrott","year":"2012","journal-title":"Front. Ecol. Environ."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1016\/j.envsoft.2014.07.008","article-title":"Modelling uncertainty in social-natural interactions","volume":"75","author":"Ropero","year":"2016","journal-title":"Environ. Model. Softw."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"11","DOI":"10.5751\/ES-11012-240311","article-title":"Capturing emergent phenomena in social-ecological systems","volume":"24","author":"Haider","year":"2019","journal-title":"Ecol. Soc."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1007\/s10745-006-9030-4","article-title":"The design of Mediterranean landscapes: A millennial story of humans and ecological systems during the historical period","volume":"34","author":"Blondel","year":"2006","journal-title":"Hum. Ecol."},{"key":"ref_7","first-page":"136","article-title":"The role of multi-functionality in social preferences toward semi-arid rural landscapes: An ecosystem service approach","volume":"19","author":"Aguilera","year":"2012","journal-title":"Environ. Sci. Policy"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"557","DOI":"10.1023\/A:1013130528470","article-title":"Temporal (1958\u20131995) pattern of change in a cultural landscape of northwestern Portugal: Implications for fire occurrence","volume":"16","author":"Moreira","year":"2001","journal-title":"Landsc. Ecol."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1016\/S0304-3800(03)00145-5","article-title":"Relationship between landscape typology and socioeconomic structure: Scenarios of change in Spanish cultural landscapes","volume":"168","author":"Schmitz","year":"2003","journal-title":"Ecol. Model."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Koomen, E., Stillwell, J., Bakema, A., and Scholten, H.J. (2007). Driving Forces of Land-Use Change in a Cultural Landscape of Spain. Modelling Land-Use Change: Progress and Applications, Springer.","DOI":"10.1007\/978-1-4020-5648-2"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"672","DOI":"10.1016\/j.ecolind.2007.11.003","article-title":"Modelling of landscape changes derived from the dynamics of socio-ecological systems: A case of study in a semiarid Mediterranean landscape","volume":"8","author":"Schmitz","year":"2008","journal-title":"Ecol. Indic."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1016\/j.landurbplan.2011.01.009","article-title":"Modelling the risk of land cover change from environmental and socio-economic drivers in heterogeneous and changing landscapes: The role of uncertainty","volume":"101","year":"2011","journal-title":"Landsc. Urban Plan."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"122","DOI":"10.1016\/j.biocon.2012.01.043","article-title":"Effects of a protected area on land-use dynamics and socioeconomic development of local populations","volume":"149","author":"Schmitz","year":"2012","journal-title":"Biol. Conserv."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1016\/j.ecoser.2012.06.001","article-title":"The indicator side of ecosystem services","volume":"1","author":"Burkhard","year":"2012","journal-title":"Ecosyst. Serv."},{"key":"ref_15","unstructured":"Pearl, J. (1988). Probabilistic Reasoning in Intelligent Systems, Morgan-Kaufmann."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"623","DOI":"10.1002\/j.1538-7305.1948.tb00917.x","article-title":"A mathematical theory of communication","volume":"27","author":"Shannon","year":"1948","journal-title":"Bell Syst. Tech. J."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1376","DOI":"10.1016\/j.envsoft.2011.06.004","article-title":"Bayesian networks in environmental modelling","volume":"26","author":"Aguilera","year":"2011","journal-title":"Environ. Model. Softw."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.envsoft.2013.03.011","article-title":"A review of Bayesian belief networks in ecosystem service modelling","volume":"46","author":"Landuyt","year":"2013","journal-title":"Environ. Model. Softw."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Korb, K.B., and Nicholson, A.E. (2003). Bayesian Artificial Intelligence, Chapman & Hall.","DOI":"10.1201\/9780203491294"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"146","DOI":"10.1016\/j.ecoser.2018.04.007","article-title":"Probabilistic modeling of the relationship between socioeconomy and ecosystem services in cultural landscapes","volume":"33","author":"Maldonado","year":"2018","journal-title":"Ecosyst. Serv."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1023\/A:1007465528199","article-title":"Bayesian Network Classifiers","volume":"29","author":"Friedman","year":"1997","journal-title":"Mach. Learn."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1","DOI":"10.18637\/jss.v035.i03","article-title":"Learning Bayesian Networks with the bnlearn R Package","volume":"35","author":"Scutari","year":"2010","journal-title":"J. Stat. Softw."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/22\/1\/123\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T13:20:15Z","timestamp":1760361615000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/22\/1\/123"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,1,19]]},"references-count":22,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2020,1]]}},"alternative-id":["e22010123"],"URL":"https:\/\/doi.org\/10.3390\/e22010123","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2020,1,19]]}}}