{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T06:16:53Z","timestamp":1788243413896,"version":"build-2803163510"},"reference-count":42,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2026,8,31]],"date-time":"2026-08-31T00:00:00Z","timestamp":1788134400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Biomimetics"],"abstract":"<jats:p>Bio-inspiration has mainly been used to represent organisms, behaviors, or natural processes in the design of metaheuristics. This study proposes a different use: drawing on a biological phenomenon to model the temporal evolution of an internal parameter in an existing algorithm. Logarithmic Mean Optimization (LMO) is adopted as a case study, focusing on \u03b2, which scales the stochastic perturbation term and regulates the balance between exploration and exploitation. Inspired by the progressive transition observed during bird landing, a normalized arctangent trajectory controlled by m and k is proposed. Both hyperparameters were tuned through Bayesian optimization using the Tree-structured Parzen Estimator (TPE) implemented in Optuna. The 23 benchmark functions were divided into 12 tuning functions and 11 independent test functions. Nine \u03b2 configurations were evaluated through 31 runs per function. The Friedman test showed significant differences among the variants (p=3.8269\u00d710\u221210), and the proposed formulation achieved the best average rank (1.7273). Post-hoc Wilcoxon tests with Holm correction found significant differences against two of the eight alternatives. Overall, the results suggest that bio-inspiration, when used as a criterion for designing adaptive parameter-control mechanisms, can yield improvements and be considered a potential alternative in the design of new metaheuristic algorithms.<\/jats:p>","DOI":"10.3390\/biomimetics11090611","type":"journal-article","created":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T05:45:13Z","timestamp":1788241513000},"page":"611","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Beyond Bio-Inspired Algorithms: Using Bird Landing Dynamics to Design Adaptive Parameter Control in Metaheuristics"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-0137-3901","authenticated-orcid":false,"given":"Andr\u00e9s","family":"P\u00e9rez","sequence":"first","affiliation":[{"name":"Escuela de Ingenier\u00eda Inform\u00e1tica, Pontificia Universidad Cat\u00f3lica de Valpara\u00edso, Avenida Brasil 2241, Valpara\u00edso 2362807, Chile"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"conceptualization","vocabulary":"credit"},{"role":"software","vocabulary":"credit"},{"role":"formal-analysis","vocabulary":"credit"},{"role":"investigation","vocabulary":"credit"},{"role":"resources","vocabulary":"credit"},{"role":"writing-original-draft","vocabulary":"credit"},{"role":"writing-review-editing","vocabulary":"credit"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5500-0188","authenticated-orcid":false,"given":"Broderick","family":"Crawford","sequence":"additional","affiliation":[{"name":"Escuela de Ingenier\u00eda Inform\u00e1tica, Pontificia Universidad Cat\u00f3lica de Valpara\u00edso, Avenida Brasil 2241, Valpara\u00edso 2362807, Chile"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"conceptualization","vocabulary":"credit"},{"role":"methodology","vocabulary":"credit"},{"role":"validation","vocabulary":"credit"},{"role":"investigation","vocabulary":"credit"},{"role":"writing-review-editing","vocabulary":"credit"},{"role":"supervision","vocabulary":"credit"},{"role":"funding-acquisition","vocabulary":"credit"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0333-0633","authenticated-orcid":false,"given":"Eduardo","family":"Rodriguez-Tello","sequence":"additional","affiliation":[{"name":"Cinvestav Unidad Tamaulipas, Km. 5.5 Carretera Victoria-Soto La Marina, Victoria 87130, Tamaulipas, Mexico"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"conceptualization","vocabulary":"credit"},{"role":"methodology","vocabulary":"credit"},{"role":"validation","vocabulary":"credit"},{"role":"investigation","vocabulary":"credit"},{"role":"writing-review-editing","vocabulary":"credit"},{"role":"supervision","vocabulary":"credit"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9623-5415","authenticated-orcid":false,"given":"Jorge","family":"Mendoza","sequence":"additional","affiliation":[{"name":"Escuela de Ingenier\u00eda El\u00e9ctrica, Pontificia Universidad Cat\u00f3lica de Valpara\u00edso, Avenida Brasil 2147, Valpara\u00edso 2362804, Chile"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"formal-analysis","vocabulary":"credit"},{"role":"investigation","vocabulary":"credit"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9913-0467","authenticated-orcid":false,"given":"Gino","family":"Astorga","sequence":"additional","affiliation":[{"name":"Escuela de Negocios Internacionales, Universidad de Valpara\u00edso, Alcalde Prieto Nieto 452, Vi\u00f1a del Mar 2572048, Chile"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"methodology","vocabulary":"credit"},{"role":"validation","vocabulary":"credit"},{"role":"formal-analysis","vocabulary":"credit"},{"role":"investigation","vocabulary":"credit"},{"role":"resources","vocabulary":"credit"},{"role":"writing-original-draft","vocabulary":"credit"},{"role":"writing-review-editing","vocabulary":"credit"},{"role":"supervision","vocabulary":"credit"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5755-6929","authenticated-orcid":false,"given":"Ricardo","family":"Soto","sequence":"additional","affiliation":[{"name":"Escuela de Ingenier\u00eda Inform\u00e1tica, Pontificia Universidad Cat\u00f3lica de Valpara\u00edso, Avenida Brasil 2241, Valpara\u00edso 2362807, Chile"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"methodology","vocabulary":"credit"},{"role":"investigation","vocabulary":"credit"},{"role":"supervision","vocabulary":"credit"}]}],"member":"1968","published-online":{"date-parts":[[2026,8,31]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1016\/j.ins.2013.02.041","article-title":"A survey on optimization metaheuristics","volume":"237","author":"Lepagnot","year":"2013","journal-title":"Inf. Sci."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"105622","DOI":"10.1016\/j.engappai.2022.105622","article-title":"A survey of recently developed metaheuristics and their comparative analysis","volume":"117","author":"Alorf","year":"2023","journal-title":"Eng. Appl. Artif. Intell."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"8404231","DOI":"10.1155\/2017\/8404231","article-title":"Putting continuous metaheuristics to work in binary search spaces","volume":"2017","author":"Crawford","year":"2017","journal-title":"Complexity"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Becerra-Rozas, M., Lemus-Romani, J., Cisternas-Ca\u00f1eo, F., Crawford, B., and Soto, R. (2022). Continuous metaheuristics for binary optimization problems: An updated systematic literature review. Mathematics, 11.","DOI":"10.3390\/math11010129"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Figueroa-Torrez, P., Duran, O., Crawford, B., and Cisternas-Caneo, F. (2026). Enhancing Manufacturing Cell Formation Through Availability-Based Optimization Using the Black Widow Optimizer Metaheuristic. Biomimetics, 11.","DOI":"10.3390\/biomimetics11050294"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1942","DOI":"10.1109\/ICNN.1995.488968","article-title":"Particle swarm optimization","volume":"Volume 4","author":"Kennedy","year":"1995","journal-title":"Proceedings of the ICNN\u201995-International Conference on Neural Networks"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/j.advengsoft.2016.01.008","article-title":"The whale optimization algorithm","volume":"95","author":"Mirjalili","year":"2016","journal-title":"Adv. Eng. Softw."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"120","DOI":"10.1016\/j.knosys.2015.12.022","article-title":"SCA: A sine cosine algorithm for solving optimization problems","volume":"96","author":"Mirjalili","year":"2016","journal-title":"Knowl.-Based Syst."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1007\/s10462-024-10729-y","article-title":"Secretary bird optimization algorithm: A new metaheuristic for solving global optimization problems","volume":"57","author":"Fu","year":"2024","journal-title":"Artif. Intell. Rev."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"124","DOI":"10.1109\/4235.771166","article-title":"Parameter control in evolutionary algorithms","volume":"3","author":"Eiben","year":"1999","journal-title":"IEEE Trans. Evol. Comput."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"100777","DOI":"10.1016\/j.swevo.2020.100777","article-title":"A systematic literature review on general parameter control for evolutionary and swarm-based algorithms","volume":"60","author":"Ludermir","year":"2021","journal-title":"Swarm Evol. Comput."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"132976","DOI":"10.1016\/j.neucom.2026.132976","article-title":"Tuning metaheuristic parameters with the use of Large Language Models","volume":"675","author":"Martinek","year":"2026","journal-title":"Neurocomputing"},{"key":"ref_13","first-page":"201","article-title":"A statistical learning based approach for parameter fine-tuning of metaheuristics","volume":"40","author":"Calvet","year":"2016","journal-title":"SORT-Stat. Oper. Res. Trans."},{"key":"ref_14","first-page":"2951","article-title":"Practical bayesian optimization of machine learning algorithms","volume":"25","author":"Snoek","year":"2012","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1038\/s41586-022-04861-4","article-title":"Optimization of avian perching manoeuvres","volume":"607","author":"KleinHeerenbrink","year":"2022","journal-title":"Nature"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"8330","DOI":"10.1038\/s41467-024-52369-4","article-title":"Agile perching maneuvers in birds and morphing-wing drones","volume":"15","author":"Jeger","year":"2024","journal-title":"Nat. Commun."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1038\/s44172-025-00531-1","article-title":"Trajectory planning for drone landing, incorporating wind-sensing capabilities, operational and safety objectives, and reinforcement learning","volume":"4","author":"Xiong","year":"2025","journal-title":"Commun. Eng."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"3033","DOI":"10.1109\/TCYB.2025.3650717","article-title":"Perch like a bird: Bio-inspired optimal maneuvers and nonlinear control for Flapping-Wing Unmanned Aerial Vehicles","volume":"56","author":"Acosta","year":"2026","journal-title":"IEEE Trans. Cybern."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"18155","DOI":"10.1038\/s41598-025-00594-2","article-title":"Logarithmic mean optimization a metaheuristic algorithm for global and case specific energy optimization","volume":"15","author":"Dagal","year":"2025","journal-title":"Sci. Rep."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Akiba, T., Sano, S., Yanase, T., Ohta, T., and Koyama, M. (2019, January 4\u20138). Optuna: A next-generation hyperparameter optimization framework. Proceedings of the 25th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, Anchorage, AK, USA.","DOI":"10.1145\/3292500.3330701"},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Kandemir, A., and Kalay, T. (2026). A Multi-Level Approach to Biomimetic Design Education: Developing a Biomimetic Transfer Framework and Matrix for Design Analysis. Biomimetics, 11.","DOI":"10.3390\/biomimetics11070445"},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Crawford, B., Soto, R., Caballero, H., Astorga, G., Cisternas-Caneo, F., Sol\u00eds-Pi\u00f1ones, F., and Giachetti, G. (2025). An Experimental Study of Transfer Functions and Binarization Strategies in Binary Arithmetic Optimization Algorithms for the Set Covering Problem. Mathematics, 13.","DOI":"10.3390\/math13193129"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"20210947","DOI":"10.1098\/rsif.2021.0947","article-title":"Birds both avoid and control collisions by harnessing visually guided force vectoring","volume":"19","author":"Chin","year":"2022","journal-title":"J. R. Soc. Interface"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1651","DOI":"10.1242\/jeb.038109","article-title":"Wing and body kinematics of takeoff and landing flight in the pigeon (Columba livia)","volume":"213","author":"Berg","year":"2010","journal-title":"J. Exp. Biol."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Ponitz, B., Schmitz, A., Fischer, D., Bleckmann, H., and Br\u00fccker, C. (2014). Diving-Flight Aerodynamics of a Peregrine Falcon (Falco peregrinus). PLoS ONE, 9.","DOI":"10.1371\/journal.pone.0086506"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"148","DOI":"10.1109\/JPROC.2015.2494218","article-title":"Taking the human out of the loop: A review of Bayesian optimization","volume":"104","author":"Shahriari","year":"2015","journal-title":"Proc. IEEE"},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Aziz, N.A.A., and Aziz, K.A. (2022). Pendulum Search Algorithm: An Optimization Algorithm Based on Simple Harmonic Motion and Its Application for a Vaccine Distribution Problem. Algorithms, 15.","DOI":"10.3390\/a15060214"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"113609","DOI":"10.1016\/j.cma.2020.113609","article-title":"The arithmetic optimization algorithm","volume":"376","author":"Abualigah","year":"2021","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1515\/jaiscr-2015-0001","article-title":"Population Diversity Maintenance in Brain Storm Optimization Algorithm","volume":"4","author":"Cheng","year":"2014","journal-title":"J. Artif. Intell. Soft Comput. Res."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"7665","DOI":"10.1007\/s00521-018-3592-0","article-title":"On the Exploration and Exploitation in Popular Swarm-Based Metaheuristic Algorithms","volume":"31","author":"Hussain","year":"2019","journal-title":"Neural Comput. Appl."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"e1484","DOI":"10.1002\/widm.1484","article-title":"Hyperparameter optimization: Foundations, algorithms, best practices, and open challenges","volume":"13","author":"Bischl","year":"2023","journal-title":"Wiley Interdiscip. Rev. Data Min. Knowl. Discov."},{"key":"ref_32","first-page":"975","article-title":"Hyperparameter optimization in machine learning","volume":"18","author":"Franceschi","year":"2025","journal-title":"Found. Trends\u00ae  Mach. Learn."},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Frazier, P.I. (2018). A tutorial on Bayesian optimization. arXiv.","DOI":"10.1287\/educ.2018.0188"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1016\/j.advengsoft.2013.12.007","article-title":"Grey wolf optimizer","volume":"69","author":"Mirjalili","year":"2014","journal-title":"Adv. Eng. Softw."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"490","DOI":"10.1016\/j.asoc.2014.11.006","article-title":"Performance evaluation of automatically tuned continuous optimizers on different benchmark sets","volume":"27","author":"Liao","year":"2015","journal-title":"Appl. Soft Comput."},{"key":"ref_36","doi-asserted-by":"crossref","unstructured":"Liao, T., Li, R., You, G., and Yang, K. (2014). Simulation-based ant colony optimization for complex system configuration problems. Proceedings of the 2014 9th International Conference on System of Systems Engineering (SOSE), IEEE.","DOI":"10.1109\/SYSOSE.2014.6892497"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1137\/080724083","article-title":"Benchmarking derivative-free optimization algorithms","volume":"20","author":"Wild","year":"2009","journal-title":"SIAM J. Optim."},{"key":"ref_38","unstructured":"Pfisterer, F., Schneider, L., Moosbauer, J., Binder, M., and Bischl, B. (2022). Yahpo gym-an efficient multi-objective multi-fidelity benchmark for hyperparameter optimization. Proceedings of the International Conference on Automated Machine Learning, PMLR."},{"key":"ref_39","first-page":"198","article-title":"A Modified Particle Swarm Optimization with Nonlinear Decreasing Inertia Weight Based PID Controller for Ultrasonic Motor","volume":"3","author":"Djoewahir","year":"2012","journal-title":"Int. J. Innov. Manag. Technol."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"859","DOI":"10.1016\/j.cor.2004.08.012","article-title":"Nonlinear Inertia Weight Variation for Dynamic Adaptation in Particle Swarm Optimization","volume":"33","author":"Chatterjee","year":"2006","journal-title":"Comput. Oper. Res."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"3658","DOI":"10.1016\/j.asoc.2011.01.037","article-title":"A Novel Particle Swarm Optimization Algorithm with Adaptive Inertia Weight","volume":"11","author":"Nickabadi","year":"2011","journal-title":"Appl. Soft Comput."},{"key":"ref_42","doi-asserted-by":"crossref","unstructured":"Turkmenoglu, C., Gunduz, H., and Gazioglu, E. (2026). Efficient Olive Leaf Disease Detection via Hybrid Artificial Rabbit Optimization and Genetic Algorithm-Based Deep Feature Selection. Agriculture, 16.","DOI":"10.3390\/agriculture16050626"}],"container-title":["Biomimetics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2313-7673\/11\/9\/611\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T06:08:58Z","timestamp":1788242938000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2313-7673\/11\/9\/611"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,8,31]]},"references-count":42,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2026,9]]}},"alternative-id":["biomimetics11090611"],"URL":"https:\/\/doi.org\/10.3390\/biomimetics11090611","relation":{},"ISSN":["2313-7673"],"issn-type":[{"value":"2313-7673","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,8,31]]}}}