Systems Engineering: Emergence (Definitions)

"Emergence is the phenomenon of properties, capabilities and behaviours evident in the whole system that are not exclusively ascribable to any of its parts." (Derek Hitchins, "Advanced Systems Thinking, Engineering and Management", 2003)

"The process of complex pattern formation from simpler rules; emergent properties are neither properties had by any parts of the system taken in isolation nor a resultant of a mere summation of properties of parts of the system." (Ani Calinescu & Janet Efstathiou, "Measures of Network Structure", Encyclopedia of Networked and Virtual Organizations, 2008) 

"A process where phenomena at a certain level arise from interactions at lower levels. The term is sometimes used to denote a property of a system not contained in any one of its parts." (Max Lungarella & Gabriel Gómez, "Developmental Robotics", Encyclopedia of Artificial Intelligence, 2009)

"Emergence is defined as the occurrence of new processes operating at a higher level of abstraction then is the level at which the local rules operate." (Jirí Kroc & Peter M A Sloot, "Complex Systems Modeling by Cellular Automata", Encyclopedia of Artificial Intelligence, 2009)

"Phenomenon through which complex systems and patterns emerge from multiple simple and local interactions. Emergence is central to the theory of complex systems." (Marielba Zacarias et al, "Modeling Human Resources in the Emergent Organization", Handbook of Research on E-Transformation and Human Resources Management Technologies, 2009)

"Refers to new unexpected behaviors and patterns that arise out of a multiplicity of relatively simple interactions. An emergent behavior can appear when a number of simple entities (agents) operate in an environment while forming more complex behaviors as a community."  (Andrew Kuznetsov, "Synthetic Biology as a Proof of Systems Biology", Handbook of Research on Systems Biology Applications in Medicine, 2009)

"The process of coherent patterns of behavior arising from the self-organizing aspects of complex systems." (Brian L Heath & Raymond R. Hill, "Agent-Based Modeling: A Historical Perspective and a Review of Validation and Verification Efforts", Handbook of Research on Discrete Event Simulation Environments: Technologies and Applications, 2010)

"The notion of emergence is used in a variety of disciplines such as evolutionary biology, the philosophy of mind and sociology, as well as in computational and complexity theory. It is associated with non-reductive naturalism, which claims that a hierarchy of levels of reality exist. While the emergent level is constituted by the underlying level, it is nevertheless autonomous from the constituting level. As a naturalistic theory, it excludes non-natural explanations such as vitalistic forces or entelechy. As non-reductive naturalism, emergence theory claims that higher-level entities cannot be explained by lower-level entities." (Martin Neumann, "An Epistemological Gap in Simulation Technologies and the Science of Society", 2011)

"Emergence is a nontrivial relationship between the properties of a system at microscopic and macroscopic scales. Macroscopic properties are called emergent when it is hard to explain them simply from microscopic properties." (Hiroki Sayama, "Introduction to the Modeling and Analysis of Complex Systems", 2015)

"Process whereby global patterns arise through interactions between local and simple entities that themselves do not exhibit such patterns." (Carlos M Fernandes & Ivo D de Sousa, "Digital Swarms: Social Interaction and Emergent Phenomena in Personal Communications Networks, 2017)

"The insurgence, in a group or collective of individuals, of properties that are not shared by any single individual. It is the 'more' in the expression 'the whole is more than just the sum of its constituent parts'." (Alessio Erioli, "Anexact Paths: Computation, Continuity, and Tectonics in the Design Process", Handbook of Research on Form and Morphogenesis in Modern Architectural Contexts, 2018)

"Unexpected phenomena appearing (and often having a regularity or pattern) from a collection of apparently unrelated elements and where the elements themselves do not have the characteristics of the phenomena and that phenomena itself is not contained deductively within the elements." (Jeremy Horne, "Visualizing Big Data From a Philosophical Perspective", Handbook of Research on Big Data Storage and Visualization Techniques, 2018)

"A feature in a complex system that is generated through the dynamic interactions between the parts of a system at one level, and is realized at the next level of organization without intentionality or causality." (A Faye Bres, "Integral Post-Analysis of Design-Based Research of an Organizational Learning Process for Strategic Renewal of Environmental Management", Integral Theory and Transdisciplinary Action Research in Education, 2019)

"Feature of complex systems, meaning that the interactions between system’s components lead to unexpected behavioral properties, resulting from system’s self-organizational processes." (Francesca Costanza, "Managing Patients' Organizations to Improve Healthcare: Emerging Research and Opportunities", 2020)

"The capacity for a system to produce outputs which were unexpected by the original designers." (Kenneth Chen, "The Fallacies of MDA for Novice Designers: Overusing Mechanics and Underusing Aesthetics", Interactivity and the Future of the Human-Computer Interface, 2020)