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Emergent Behavior in Complex Systems Engineering E-Book

Saurabh Mittal

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A comprehensive text that reviews the methods and technologies that explore emergent behavior in complex systems engineering in multidisciplinary fields In Emergent Behavior in Complex Systems Engineering, the authors present the theoretical considerations and the tools required to enable the study of emergent behaviors in manmade systems. Information Technology is key to today's modern world. Scientific theories introduced in the last five decades can now be realized with the latest computational infrastructure. Modeling and simulation, along with Big Data technologies are at the forefront of such exploration and investigation. The text offers a number of simulation-based methods, technologies, and approaches that are designed to encourage the reader to incorporate simulation technologies to further their understanding of emergent behavior in complex systems. The authors present a resource for those designing, developing, managing, operating, and maintaining systems, including system of systems. The guide is designed to help better detect, analyse, understand, and manage the emergent behaviour inherent in complex systems engineering in order to reap the benefits of innovations and avoid the dangers of unforeseen consequences. This vital resource: * Presents coverage of a wide range of simulation technologies * Explores the subject of emergence through the lens of Modeling and Simulation (M&S) * Offers contributions from authors at the forefront of various related disciplines such as philosophy, science, engineering, sociology, and economics * Contains information on the next generation of complex systems engineering Written for researchers, lecturers, and students, Emergent Behavior in Complex Systems Engineering provides an overview of the current discussions on complexity and emergence, and shows how systems engineering methods in general and simulation methods in particular can help in gaining new insights in complex systems engineering.

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TABLE OF CONTENTS

Title Page

Copyright

Dedication

Foreword

Preface

About the Editors

List of Contributors

Section I: Emergent Behavior in Complex Systems

CHAPTER 1: METAPHYSICAL AND SCIENTIFIC ACCOUNTS OF EMERGENCE: VARIETIES OF FUNDAMENTALITY AND THEORETICAL COMPLETENESS

SUMMARY

INTRODUCTION

TO EXPLAIN IS NOT TO ELIMINATE

EMERGENT PROPERTIES AND MORE FUNDAMENTAL PROPERTIES

WHERE DOES THE PHILOSOPHICAL PROBLEM OF EMERGENCE COME FROM?

INCOMPLETENESS

MODELS, EMERGENCE, AND FUNDAMENTALITY

ACKNOWLEDGMENTS

REFERENCES

CHAPTER 2: EMERGENCE: WHAT DOES IT MEAN AND HOW IS IT RELEVANT TO COMPUTER ENGINEERING?

SUMMARY

INTRODUCTION

MAPPING MEANINGS OF EMERGENCE

EMERGENCE IN COMPUTER ENGINEERING

CONCLUSION: FUTURE DIRECTIONS

Bibliography

CHAPTER 3: SYSTEM THEORETIC FOUNDATIONS FOR EMERGENT BEHAVIOR MODELING: THE CASE OF EMERGENCE OF HUMAN LANGUAGE IN A RESOURCE-CONSTRAINED COMPLEX INTELLIGENT DYNAMICAL SYSTEM

SUMMARY

INTRODUCTION

BACKGROUND

EMERGENCE OF LANGUAGE CAPABILITIES IN HUMAN EVOLUTION

FUNDAMENTAL SYSTEMS APPROACH FOR RCIDS FOR EMERGENCE OF LANGUAGE EXAMPLE

PERSPECTIVES: EVOLUTION AND SYSTEM MODELING

RCIDS AND ACTIVITY-BASED PERSPECTIVE ON SHARED ATTENTION

CONCLUSIONS AND FUTURE WORK

DISCLAIMER

REFERENCES

CHAPTER 4: GENERATIVE PARALLAX SIMULATION: CREATIVE COGNITION MODELS OF EMERGENCE FOR SIMULATION-DRIVEN MODEL DISCOVERY

SUMMARY

INTRODUCTION

BACKGROUND

MODEL DISCOVERY AND EMERGENCE AS A CREATIVE COGNITION PROCESS

GENERATIVE PARALLAX SIMULATION: BASIC CONCEPTS

A REFERENCE ARCHITECTURE FOR MODEL ENSEMBLES AS COGNITIVE AGENTS

MODEL EMERGENCE VIA REFLECTIVE EQUILIBRIUM

CONCLUSIONS

REFERENCES

Section II: Emergent Behavior Modeling in Complex Systems Engineering

CHAPTER 5: COMPLEX SYSTEMS ENGINEERING AND THE CHALLENGE OF EMERGENCE

SUMMARY

INTRODUCTION

SYSTEMS ENGINEERING AND EMERGENCE

UNDERSTANDING AND MANAGING EMERGENCE

SUMMARY AND DISCUSSION

DISCLAIMER

REFERENCES

CHAPTER 6: EMERGENCE IN COMPLEX ENTERPRISES

SUMMARY

INTRODUCTION

COMPLEX SYSTEMS

MULTI-LEVEL MODELS

EMERGENCE IN SOCIETY

EMERGENCE IN CITIES

EMERGENCE IN INSTITUTIONS

EMERGENCE IN COMPANIES

ROLE OF MODELING AND SIMULATION

CONCLUSIONS

REFERENCES

CHAPTER 7: EMERGENCE IN INFORMATION ECONOMIES: AN AGENT-BASED MODELING PERSPECTIVE

INTRODUCTION

EMERGENCE IN THE SOCIAL SCIENCES

INFORMATION ECONOMIES AND COMPUTATIONAL SOCIAL SCIENCE

WHY AGENT-BASED MODELING?

MODEL OVERVIEW

DETAILS

EXPERIMENT AND FINDINGS

CONCLUSIONS

REFERENCES

CHAPTER 8: MODELING EMERGENCE IN SYSTEMS OF SYSTEMS USING THERMODYNAMIC CONCEPTS

SUMMARY

INTRODUCTION

THERMODYNAMICS AND ITS EXPLANATORY ADVANTAGES

EMERGENCE AND CHEMICAL REACTIONS

DEVELOPING A CONCEPTUAL MODEL OF EMERGENCE IN SOS

POTENTIAL IMPLICATION

CONCLUSIONS

RECOMMENDATIONS AND FUTURE WORK

REFERENCES

CHAPTER 9: INDUCED EMERGENCE IN COMPUTATIONAL SOCIAL SYSTEMS ENGINEERING: MULTIMODELS AND DYNAMIC COUPLINGS AS METHODOLOGICAL BASIS

SUMMARY

INTRODUCTION

COMPUTATIONAL SOCIAL SYSTEMS ENGINEERING AND INDUCED EMERGENCE

MULTIMODELS

MODEL COUPLING

VARIABLE STRUCTURE MODELS

INDUCED EMERGENCE IN COMPUTATIONAL SOCIAL SYSTEMS ENGINEERING: ROLES OF MULTIMODELS

BEYOND AGENT-BASED FOR MULTIMODELING AND SIMULATING EMERGENCE

CONCLUSIONS AND FUTURE STUDIES

DISCLAIMER

REFERENCES

CHAPTER 10: APPLIED COMPLEXITY SCIENCE: ENABLING EMERGENCE THROUGH HEURISTICS AND SIMULATIONS

INTRODUCTION – A COARSE-GRAINED LOOK

DEFINITIONS AND A TAXONOMY FOR APPLIED COMPLEXITY SCIENCE

HEURISTICS FOR APPLYING COMPLEXITY SCIENCE TO ENGINEER FOR EMERGENCE

UNMANNED AUTONOMOUS VEHICLE (UV) SWARMS

OPERATIONAL UV SWARMS

DISCUSSION AND CONCLUSIONS

DISCLAIMER

REFERENCES

Section III: Engineering Emergent Behavior in Computational Environments

CHAPTER 11: TOWARD THE AUTOMATED DETECTION OF EMERGENT BEHAVIOR

INTRODUCTION

OVERVIEW OF EXISTING WORK

IDENTIFYING EMERGENCE USING INTERACTION GRAPHS

EXPERIMENTAL ANALYSIS

CONCLUSION

References

CHAPTER 12: ISOLATING THE CAUSES OF EMERGENT FAILURES IN COMPUTER SOFTWARE

SUMMARY

INTRODUCTION

ISOLATING THE CAUSE OF DETERMINISTIC FAILURE

EMERGENT FAILURES

STOCHASTICS IN SOFTWARE

FAULTS ACTIVATED BY EFFECTS OF THE INTERNAL SYSTEM ENVIRONMENT

SUMMARY

REFERENCES

CHAPTER 13: FROM MODULARITY TO COMPLEXITY: A CROSS-DISCIPLINARY FRAMEWORK FOR CHARACTERIZING SYSTEMS

SUMMARY

INTRODUCTION

CHARACTERIZING SYSTEMS

ASPECTS AND ABSTRACTIONS OF MODULARITY

ASPECTS OF COMPLEXITY

CONCLUSIONS

REFERENCES

Chapter 14: THE EMERGENCE OF SOCIAL SCHEMAS AND LOSSY CONCEPTUAL INFORMATION NETWORKS: HOW INFORMATION TRANSMISSION CAN LEAD TO THE APPARENT “EMERGENCE” OF CULTURE

SUMMARY

INTRODUCTION

CONSENSUS IN LARGE HUMAN SOCIAL GROUPS

OVERVIEW OF MODEL

TESTING THE MODEL

RESULTS

EMERGENCE OF SOCIAL CONSENSUS IN THE IIS

CONCLUSION: EMERGENCE, WHAT IS CLAIMED, AND WHAT SHOULD NEVER BE

REFERENCES

CHAPTER 15: MODELING AND SIMULATION OF EMERGENT BEHAVIOR IN TRANSPORTATION INFRASTRUCTURE RESTORATION

SUMMARY

INTRODUCTION

SYSTEM DYNAMICS APPROACH

METHODOLOGY

ILLUSTRATIVE EXAMPLE

CONCLUSION AND FUTURE WORK

REFERENCES

Section IV: Research Agenda

CHAPTER 16: RESEARCH AGENDA FOR NEXT-GENERATION COMPLEX SYSTEMS ENGINEERING

SUMMARY

ON ENGINEERING EMERGENCE: LEARNING FROM OTHERS

MAKING SENSE OF EMERGENT BEHAVIOR: A MIXED METHOD APPROACH

GRAND CHALLENGES OF EMERGENCE RESEARCH: A RESEARCH AGENDA

DISCLAIMER

REFERENCES

Index

End User License Agreement

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Guide

Cover

Table of Contents

Preface

Begin Reading

List of Illustrations

CHAPTER 1: METAPHYSICAL AND SCIENTIFIC ACCOUNTS OF EMERGENCE: VARIETIES OF FUNDAMENTALITY AND THEORETICAL COMPLETENESS

Figure 1.1 Combinations of novelty and naturalness with respect to kinds of fundamental property.

CHAPTER 2: EMERGENCE: WHAT DOES IT MEAN AND HOW IS IT RELEVANT TO COMPUTER ENGINEERING?

Figure 2.1 Types of emergence.

CHAPTER 3: SYSTEM THEORETIC FOUNDATIONS FOR EMERGENT BEHAVIOR MODELING: THE CASE OF EMERGENCE OF HUMAN LANGUAGE IN A RESOURCE-CONSTRAINED COMPLEX INTELLIGENT DYNAMICAL SYSTEM

Figure 3.1 System with timed transitions.

Figure 3.2 Sensor-gateway system model for a single-level architecture.

Figure 3.3 Tri-layered architecture for positive emergence.

Figure 3.4 Interaction of two components attempting to form a composite system.

Figure 3.5 DEVS modeling of one-way agent-agent communication.

CHAPTER 4: GENERATIVE PARALLAX SIMULATION: CREATIVE COGNITION MODELS OF EMERGENCE FOR SIMULATION-DRIVEN MODEL DISCOVERY

Figure 4.1 Models as mediators.

Figure 4.2 Systems model of creativity.

Figure 4.3 Generate and explore reference model.

Figure 4.4 Model ensembles.

Figure 4.5 Reference architecture.

Figure 4.6 Connectionist constraint network.

CHAPTER 5: COMPLEX SYSTEMS ENGINEERING AND THE CHALLENGE OF EMERGENCE

Figure 5.1 The “Vee” model of systems engineering.

Figure 5.2 System categories as defined by Kurtz and Snowden (2003).

Figure 5.3 Systems and emergence.

CHAPTER 6: EMERGENCE IN COMPLEX ENTERPRISES

Figure 6.1 Architecture of complex enterprises.

Figure 6.2 The world as a system.

Figure 6.3 A city as a system.

Figure 6.4 Comparison of organizational behaviors.

Figure 6.5 Architecture of academic enterprises.

Figure 6.6 Hybrid architecture of academia.

Figure 6.7 Architecture of healthcare delivery enterprise.

Figure 6.8 Transformation framework.

Figure 6.9 Product/technology strategy.

Figure 6.10 Product/market model.

Figure 6.11 Simulation of NYC Health Ecosystem in

Immersion Lab

.

Figure 6.12 Strategy framework for enterprise decision makers.

CHAPTER 7: EMERGENCE IN INFORMATION ECONOMIES: AN AGENT-BASED MODELING PERSPECTIVE

Figure 7.1 Technology phenotype examples.

Figure 7.2 Agents assess Hamming distances and, if unhappy, eliminate the “farthest” neighbor and adopting a new technology.

Figure 7.3 Network structures and Hamming distances at initialization.

Figure 7.4 Network structures and Hamming distances at

t

= 500.

Figure 7.5 Logged degree distribution.

Figure 7.6 Frequency of technologies adopted at

t

= 500, for nine sample runs representing different starting network structures (left to right) and different technology complexities (5, 7, and 10 bit string lengths top to bottom).

CHAPTER 8: MODELING EMERGENCE IN SYSTEMS OF SYSTEMS USING THERMODYNAMIC CONCEPTS

Figure 8.1 Endothermic chemical reaction.

Figure 8.2 Conceptual model of emergence in system of systems.

Figure 8.3 Causal tree diagram: factors for emergent effects in engineered system.

CHAPTER 9: INDUCED EMERGENCE IN COMPUTATIONAL SOCIAL SYSTEMS ENGINEERING: MULTIMODELS AND DYNAMIC COUPLINGS AS METHODOLOGICAL BASIS

Figure 9.1 A multiaspect multimodel of water.

Figure 9.2 A multistage multimodel.

Figure 9.3 A coupled model Z consisting of component models Z1-Z5.

Figure 9.4 A template for model coupling.

Figure 9.5 Declarative specification of the coupling of the coupled model depicted in Figure 9.3 (“a → b” and “c ← d” can be read as “a is connected to b” and “c is connected from d”).

Figure 9.6 Declarative specification of the internal coupling of the coupled model depicted in Figure 9.3.

Figure 9.7 An extensible finite-state machine.

CHAPTER 10: APPLIED COMPLEXITY SCIENCE: ENABLING EMERGENCE THROUGH HEURISTICS AND SIMULATIONS

Figure 10.1 Complex systems engineering. The feedback between traditional engineering practice and complexity science. The emergent phenomenon exhibited at the largest scale of the system's existence (the right side of the figure) has a top-down influence on the system's components (created via traditional engineering of subcomponents (sC a–h) that are combined into larger system components (Component 1 … n)). Traditional systems engineering practices do not pay mind to this cross-scale feedback loop, the study of which is a primary focus of complexity science.

Figure 10.2 Sample swarm dynamics. Variance in heading of the U × V swarm as density is decreased by holding swarm size constant and varying environment from a 31 × 31 patch size to a 101 × 101 patch size in increments of 10. Swarms form very quickly at a density of 250 U × Vs in a 51 × 51 size patch. (a) Swarm heading dynamics, 250 U × Vs, 31 × 31 space. (b) Swarm heading dynamics, 250 U × Vs, 41 × 41 space. (c) Swarm heading dynamics, 250 U × Vs, 51 × 51 space. (d) Swarm heading dynamics, 250 U × Vs, 61 × 61 space. (e) Swarm heading dynamics, 250 U × Vs, 71 × 71 space. (f) Swarm heading dynamics, 250 U × Vs, 81 × 81 space. (g) Swarm heading dynamics, 250 U × Vs, 91 × 91 space. (h) Swarm heading dynamics, 250 U × Vs, 101 × 101 space.

Figure 10.3 Highly coherent swarms. The impact of unorganized obstacles on swarm dynamics, as can be seen, variance tends to increase with the number of obstacles. Highly coherent swarms are not found if 4 or more obstacles are introduced, as is indicated by the horizontal gray line. (a) Variance of heading, 250 U × Vs in a 51 × 51 world, correlated obstacle of size 2. (b) Variance of heading, 250 U × Vs in a 51 × 51 world, correlated obstacle of size 4. (c) Variance of heading, 250 U × Vs in a 51 × 51 world, correlated obstacle of size 6. (d) Variance of heading, 250 U × Vs in a 51 × 51 world, correlated obstacle of size 8.

Figure 10.4 Highly organized obstacles. The impact of organized obstacles on swarm dynamics. We can see that as the organized obstacles become large enough, new emergent swarm dynamics form within the system's new boundaries. (a) Variance of heading, 250 U × Vs in a 51 × 51 world, correlated obstacle of size 2. (b) Variance of heading, 250 U × Vs in a 51 × 51 world, correlated obstacle of size 4. (c) Variance of heading, 250 U × Vs in a 51 × 51 world, correlated obstacle of size 6. (d) Variance of heading, 250 U × Vs in a 51 × 51 world, correlated obstacle of size 8.

CHAPTER 11: TOWARD THE AUTOMATED DETECTION OF EMERGENT BEHAVIOR

Figure 11.1 Architecture overview.

Figure 11.2 Pre-processing agents based on their interactions.

Figure 11.4 Comparison between and . (a) Flock of birds: with minimum HD: 109.77. (b) Flock of birds: reference graph:

Figure 11.3 Game of life with pulsar pattern.

Figure 11.5 Comparison between and . (a) Flock of birds: with minimum HD: 86.84. (b) Flock of birds: reference graph: .

Figure 11.6 Comparison between and . (a) Predator-Prey: with minimum HD: 5.657. (b) Predator-Prey: reference graph: .

Figure 11.7 Comparison between Flock of Birds , and . (a) Flock of Birds: with minimum HDA: 3.58. (b) Flock of Birds: reference graph: . (c) Flock of Birds: with minimum HDA: 72.35.

Figure 11.8 IG with minimum HDA: 43.06.

Figure 11.9 Comparison between , and . (a) with closest to 0: 0.53. (b) with closest to 0: 0.003. (c) Flock of Birds: reference graph: .

Figure 11.10 IG for two bird types with closest to : 0.07.

Figure 11.11 Game of life: with closest to 0: 0.000.

Figure 11.12 Best results from HD, HDA, and when compared to the reference graph . (a) Reference graph: . (b) HD: . (c) HDA: . (d) : .

Figure 11.13 Best results from for Game of Life models with different agent amounts when compared to the reference graph . (a) Reference graph: . (b) : IG. (c) : .

CHAPTER 12: ISOLATING THE CAUSES OF EMERGENT FAILURES IN COMPUTER SOFTWARE

Figure 12.1 The set union and set intersection approaches to statistical debugging.

Figure 12.2 Statistical debugging example using Tarantula.

Figure 12.3 Eclipse plugin for automated debugging based on Tarantula's ranking. Note: the program being debugged is different from the one shown in Figure 12.2.

Figure 12.4 An example of CBI-ranked predicates from a numeric program.

Figure 12.5 An overview of the Whyline tool being used in a graphical programming environment.

Figure 12.6 A visualization of the Ising model and the algorithm used to implement it.

Figure 12.7 Fuzzy membership with designations of young, middle-aged, and old.

Figure 12.8 Equation specifying the passing extent,

u

, of an output list

X

.

Figure 12.9 The result of applying the fuzzy passing function to test cases for the faulty implementation of the Ising model. The center portion of the curve reflects fuzzy passing values that applying the fuzzy function to the test cases did not yield.

Figure 12.10 A multi-threaded program with four lines yielding six unique execution sequences and four unique end states.

Figure 12.11 Software layer and flow diagram for scheduling determinism in programs with emergent faults (Musuvathi

et al

., 2008).

CHAPTER 13: FROM MODULARITY TO COMPLEXITY: A CROSS-DISCIPLINARY FRAMEWORK FOR CHARACTERIZING SYSTEMS

Figure 13.1 Composition.

Figure 13.2 Classification.

Figure 13.3 Multiple characterizations.

Figure 13.4 Clean hierarchy.

Figure 13.5 Heterarchy.

Figure 13.6 Three aspects of modularity.

Figure 13.7 Function-driven encapsulation.

Figure 13.8 Interface compatibility.

Figure 13.9 Architectural variety from interface compatibility.

Figure 13.10 Component swapping and component sharing.

Figure 13.11 Redundancy through duplicated architectures and distinct architectures.

Figure 13.12 Robustness through multi-structural function realization.

Figure 13.13 Context-dependent multi-functionality.

Figure 13.14 Functions mapped to architectures defined at different levels.

Figure 13.15 Endogenous and exogenous functions.

Figure 13.16 State transition rules.

Figure 13.17 Different behavioral trajectories depending on initial state.

Figure 13.18 Environmentally influenced behavioral rules.

Chapter 14: THE EMERGENCE OF SOCIAL SCHEMAS AND LOSSY CONCEPTUAL INFORMATION NETWORKS: HOW INFORMATION TRANSMISSION CAN LEAD TO THE APPARENT “EMERGENCE” OF CULTURE

Figure 14.1 Mean motivation level for two groups over time.

Figure 14.2 Mean social identification level for two groups over time.

Figure 14.3 Consensus for two groups. 1 = total consensus on beliefs among members of a group; 0 = total disagreement among members of a group.

Figure 14.4 Average fusion levels for two groups.

Figure 14.5 Group sizes for two groups in the simulation. Note that this only tracks raw group identification.

Figure 14.6 Individual participation encodes information into personal belief schemas, which in turn are used to align with social belief schemas.

Figure 14.7 Consensus visualized as an “emergent” social process.

CHAPTER 15: MODELING AND SIMULATION OF EMERGENT BEHAVIOR IN TRANSPORTATION INFRASTRUCTURE RESTORATION

Figure 15.1 Cause-and-effect relationship.

Figure 15.2 Road capacity lost due to connectivity issue.

Figure 15.3 Road capacity used per road maintenance.

Figure 15.4 Road capacity used per emergency vehicle.

Figure 15.5 Effect of transportation network disruption on travel costs per vehicle.

Figure 15.6 Maximum capacity of the road.

Figure 15.7 Factors affecting the available road capacity.

Figure 15.8 Speed versus cost graph when 140 and 280 vehicles are rerouted on the two alternate paths. The light gray line shows the results when 140 crucks are rerouted and the dark gray line shows the results when 280 crucks are rerouted. The first and second numbers in brackets on the graph are the number of vehicles on alternate route 1 and 2, respectively.

CHAPTER 16: RESEARCH AGENDA FOR NEXT-GENERATION COMPLEX SYSTEMS ENGINEERING

Figure 16.1 Experimental LVC approach for generating emergence.

Figure 16.2 Simulation experience approach (SEA) to design an LVC experiment to investigate ontological emergence.

List of Tables

CHAPTER 3: SYSTEM THEORETIC FOUNDATIONS FOR EMERGENT BEHAVIOR MODELING: THE CASE OF EMERGENCE OF HUMAN LANGUAGE IN A RESOURCE-CONSTRAINED COMPLEX INTELLIGENT DYNAMICAL SYSTEM

Table 3.1 DEVS Levels of Systems Specification

Table 3.2 Positive Emergence Tri-Layered Architecture as Applicable in the Case of Human Language

Table 3.3 Relating RCIDS Characteristics with DEVS Levels of Systems Specifications for Emergence of Language

Table 3.4 Introducing Dynamism at Various Levels of System Specifications (Mittal, 2013)

CHAPTER 5: COMPLEX SYSTEMS ENGINEERING AND THE CHALLENGE OF EMERGENCE

Table 5.1 Observations in Traditional and Complex Systems Engineering

Table 5.2 Supporting Methods for Complex Systems Engineering

CHAPTER 8: MODELING EMERGENCE IN SYSTEMS OF SYSTEMS USING THERMODYNAMIC CONCEPTS

Table 8.1 Thermodynamic Analogies

Table 8.2 Variable Conversions: Chemical System to System of Systems

CHAPTER 9: INDUCED EMERGENCE IN COMPUTATIONAL SOCIAL SYSTEMS ENGINEERING: MULTIMODELS AND DYNAMIC COUPLINGS AS METHODOLOGICAL BASIS

Table 9.1 Multidisciplinary Nature of Computational Social Science (CSS) and its Impact on Computational Social Systems Engineering (CSSE)

Table 9.2 Types of Multimodels Based on Modeling Methodologies, Submodel Structure, and on Submodel Activation Knowledge

Table 9.3 Major Categories of Multimodels and Criteria to Distinguish Them

Table 9.4 Ontological Dictionary of Terms Related with Multimodels: Based on

Modeling Methodology of Submodels

(Atomic Models)

Table 9.9 Ontological Dictionary of Terms Related with Multimodels: Based on

Submodel Activation Knowledge

(

Location

of the Knowledge to Activate Submodels)

Table 9.7 Ontological Dictionary of Terms Related with Multimodels: Nased on

Structure of Submodels

(

Variability

of Structure of the Submodels)

Table 9.10 Multimodels Based on

Modeling Methodology of Submodels

(Atomic Models Where They can be Used for Simulation-Based CSS Studies)

Table 9.13 Multimodels Based on

Structure of Submodels

(

Variability

of Structure of the Submodels) Where They can be Used for Simulation-Based CSS Studies

Table 9.14 Multimodels Based on

Submodel Activation Knowledge

(Nature and Location of the Knowledge to Activate Submodels) and the

Methods to Induce Emergence

for Simulation-Based CSS Studies

CHAPTER 10: APPLIED COMPLEXITY SCIENCE: ENABLING EMERGENCE THROUGH HEURISTICS AND SIMULATIONS

Table 10.1 A Taxonomy of Applied Complexity Science

Table 10.2 Swarm Coherence as a Function of Density for Environment Sizes 30 × 30 to 100 × 100

CHAPTER 11: TOWARD THE AUTOMATED DETECTION OF EMERGENT BEHAVIOR

Table 11.1 Differences in Model Features

Table 11.2 : 20 Birds,

Table 11.3 : 50 Birds,

Table 11.4 : 4 Predators, 8 Prey, Grid,

Table 11.5 : 8 Predators, 8 Prey, grid,

Table 11.6 : 20 Birds,

Table 11.7 : 4 Predators, 8 Prey, Grid,

Table 11.8 : 50 Birds,

Table 11.9 : 50 Birds,

Table 11.10 : Cells, ; Random Initialization

Table 11.11 : Cells, ; Glider Pattern

Table 11.12 : Cells, ; Pulsar Pattern

Table 11.13 : Cells, ; Pulsar Pattern

Table 11.14 : 4 Predators, 8 Prey, Grid,

CHAPTER 13: FROM MODULARITY TO COMPLEXITY: A CROSS-DISCIPLINARY FRAMEWORK FOR CHARACTERIZING SYSTEMS

Table 13.1 Different Complex Systems Characterizations Related to Different Aspects and Abstractions of Modularity (Non-Complex Systems Characterizations)

Table A.1 Aspects of Modularity Found in Different Definitions of Modularity

Chapter 14: THE EMERGENCE OF SOCIAL SCHEMAS AND LOSSY CONCEPTUAL INFORMATION NETWORKS: HOW INFORMATION TRANSMISSION CAN LEAD TO THE APPARENT “EMERGENCE” OF CULTURE

Table 14.1 Mapping Definitions of Emergence in the Social Science and Modeling and Simulation Literatures

Table 14.2 Values for Parameter Sweep Experiment

Table 14.3 Means for Social Identity by Group Size

Table 14.4 Overview of Approaches to Emergence in Social Systems

CHAPTER 15: MODELING AND SIMULATION OF EMERGENT BEHAVIOR IN TRANSPORTATION INFRASTRUCTURE RESTORATION

Table 15.1 Factors Affecting Available Road Capacity

Table 15.2 Average Length and Buffer Length for Vehicles Traveling at 55 mph

Table 15.3 Average Length of Vehicle Based on the Speed at Which the Traffic is Flowing

Table 15.4 Number of Vehicles on Alternate Paths and Length of Alternate Paths

Table 15.5 Available Road Capacity on Alternate Routes for Vehicles Traveling at Different Speeds

Table 15.6 Available Road Capacity

CHAPTER 16: RESEARCH AGENDA FOR NEXT-GENERATION COMPLEX SYSTEMS ENGINEERING

Table 16.1 Sample of Fields that Study Emergence

Table 16.2 Summary of Chapter's View of Emergence

Table 16.3 SEA Framework as a Transdisciplinary Approach

EMERGENT BEHAVIOR IN COMPLEX SYSTEMS ENGINEERING

A Modeling and Simulation Approach

 

Edited by

SAURABH MITTAL

 

SAIKOU DIALLO

 

ANDREAS TOLK

This edition first published 2018

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Library of Congress Cataloging-in-Publication Data

Names: Mittal, Saurabh, editor. | Diallo, Saikou Y., editor. | Tolk, Andreas,

editor.

Title: Emergent behavior in complex systems engineering : a modeling and

simulation approach / edited By Saurabh Mittal, Saikou Diallo, Andreas

Tolk.

Description: 1st edition. | Hoboken, NJ : John Wiley & Sons, 2018. | Series:

Stevens Institute series on complex systems and enterprises | Includes

bibliographical references and index. |

Identifiers: LCCN 2017052148 (print) | LCCN 2018000725 (ebook) | ISBN

9781119378853 (pdf) | ISBN 9781119378938 (epub) | ISBN 9781119378860

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Subjects: LCSH: Systems engineering. | System design.

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DEDICATION

To my parents, all my teachers, and mentors, who lit the path for me,

To my wife and kids, my loving companions in this fulfilling journey,

To the Almighty, who widens my horizons and fill my heart with joy abound

Saurabh Mittal

To all who have contributed a pebble to my foundation, teachers, and family and especially my wife Faby and my son EJA, whose teachings are as entertaining and they are enlightening

Saikou Diallo

To all my mentors who helped me to become who I am, and all my colleagues who continue what I tried to start!

Andreas Tolk

FOREWORD

The etymological roots for the word Emergence are in the Latin words “emergere” or “emergo,” which mean to arise or to bring into the light: something that was covered or hidden becomes visible. Only in the recent decades has the term has been used in science and philosophy to reference the observation of some new properties that are exposed by natural and engineered systems without having been explicitly created. Such an emergent property of a system is usually discovered at the macro-level of the behavior of the system and cannot be immediately traced back to the specifications of the components, whose interplay produce this emergence. In natural systems, this may reflect a lack of depth of understanding of the phenomena of interest; for engineered systems, this tends to reflect a lack of understanding of the implications of design decisions.

The confusion with the term emergence is nearly Babylonian. The term is used in many different ways in science and philosophy, and its definition is a substantive research question itself. Researchers are not sure if their observations are domain specific, or if they must contribute in multi-, trans-, and interdisciplinary research endeavors to new insights into the bigger, general challenges of system thinking. Philosophy discusses the differences between ontological and epistemological emergence. Scientists are applying new methods, many from the field of modeling and simulation, to generate emergent behaviors and gain new insight from the study of the dynamic representation of such systems that can produce emergence. But who within these communities holds the Holy Grail?

In his book, The Tao of Physics (1975), Fritjof Carpa, the founding director of the Center for Ecoliteracy in Berkeley, California, writes in the epilogue: “Mystics understand the roots of the Tao but not its branches; scientists understand its branches but not its roots. Science does not need mysticism and mysticism does not need science; but man needs both.” Such a view drove us to design and develop this book. Complexity has led us to understand the limits of reductionism. Such findings may not only be true for individual disciplines, but generally even more so for multi-, trans-, and interdisciplinary research. The very first step to enable such cooperation is to get to know each other. The resulting mix of invited experts in this volume therefore exposes a high degree of diversity, embracing many different views, definitions, and interpretations to show the many facets that collectively contribute to the bigger picture, hoping that we be able to reach a similar conclusion as Carpa, who states in the same source referenced above: “The mystic and the physicist arrive at the same conclusion; one starting from the inner realm, the other from the outer world. The harmony between their views confirms the ancient Indian wisdom that Brahman, the ultimate reality without, is identical to Atman, the reality within.” We need experts highly educated and experienced in their facets who are willing to talk and listen to each other.

Our underlying guidance to all authors was to think about how their contribution can make a difference for those who are designing, developing, managing, operating, and maintaining systems, including system of systems, in helping them to better detect, understand, and hopefully manage emergence to reap the benefits, for example, of innovations, and avoid the dangers, for example, of unfortunate consequences. What can system scientists and engineers contribute? Can we construct simulation systems that reproduce natural systems closely enough to gain insights about emergent behavior? How should our management and governance of complex systems look? Can we validate emergence? Is emergent always repeatable, or is it path dependent? Can we apply higher principles, such as entropy, to gain more insight? What are the computational and epistemological constraints we must be aware of? A much broader approach that involves experts from many domains is needed.

Simulation always has been a melting pot of expertise coming from many disciplines interested in many different application domains. The state-of-the-art presented in this book about methods and technologies that aim to understand emergent behavior in complex systems engineering in various scientific, social, economic, and multidisciplinary systems engineering disciplines is defining the new frontiers for humankind. The insights elaborated here have broader, ongoing consequences than expected, as we are witnessing a closely related evolution in science: the increasing use of computational means to support research. Computational science emerges – pun intended – in many disciplines: computational physics, biology, social science, systems engineering, finance, to name just a few. In order to use computational means, these disciplines first have to build models about the phenomena of interest and then build algorithms to make them executable on computers: in other words, they are constructing models and simulations. The same limits and constraints on validity of simulation approaches to complexity research are therefore applicable to computational science dealing with complex systems as well.

Complexity introduces a set of challenges to engineers, scientists, and managers in many real-world applications that affect our daily life. A better understanding of emergence in such systems, including possible limits and constraints of what we can do with current methods and tools, will enable making best use of such systems to serve society better. This book is not a solution book, but a foundations book, addressing the fields that have to contribute to address the research questions that have to be answered to better detect, understand, and manage emergence and complexity.

William Rouse

Stevens Institute of Technology

Alexander Crombie Humphreys Professor

Director of the Center for Complex Systems and Enterprises

Andreas Tolk

The MITRE Corporation

Fellow of the Society for Modeling and Simulation

September 15, 2017

PREFACE

We are surrounded by emergence.

Human civilization transformed through significant periods starting from the hunter-gatherer era, through the agricultural period, to the industrial age, and now the information and digital age. Each period emerges from the previous over time not only through technological advances and economic progress but also through conflicts, war, and transformative political and social changes. What qualifies a period in history as an “era?” How does an era start, and why does it end? Among the many reasons we have listed above, it is important to emphasize the impact of technology on society and the role technological revolutions (Industrial revolution, Internet, etc.) play in shaping the direction of Humanity. Having said that, we are not completely sure how era-changing technologies come into being and are mostly unable to predict which technologies will change civilization, and which will go unnoticed. We can only observe that when a new technology appears, it is sometimes met with skepticism, mockery, ridicule, and denial. Such reactions are often due to the lack of understanding of the technology and its implications. However, some technologies – once created – add tremendous knowledge and insight while spawning new industries, disciplines, and ecosystems that generate new professions and a new workforce, thus bringing about a new societal structure that can cope with the new technology. Some technologies are so disruptive and life changing that they mark the beginning of a new era. Would not it be desirable to better understand technologies that have the potential for such large-scale emergence or maybe even able to predict and manage the consequent emergence? Might Isaac Asimov's vision of Hari Seldon's Psychohistory become a reality? Are we on the cusp of the emergence of a new era?

Beyond societal emergence, engineered systems capable of displaying emergent behavior are entering our daily routines at a high rate. For instance, there is currently an increasing number of unmanned system technology being applied in a wide variety of domains. Robots are conducting surgeries; we see self-driving cars maturing; packages are delivered by drones, and unmanned systems show up on the battlefield. These unmanned systems observe their environment, compare the perceived situation with their goals, and then follow rules set to achieve their objectives. Even relatively simple rules can lead to very complex swarm behavior, exposing emergent behavior beyond the intention of the designers. If this behavior is helpful in reaching their planned objective, all is good, but where is the threshold for such behavior to become dangerous or even harmful? How can we better recognize unintended consequences, which may easily be magnified due to the many and often nonlinear connections between the components? How can we ensure that such unmanned solutions evolve into a favorable direction and not like James Cameron's Skynet into an existential threat for society?

It is such questions and ideas that have motivated us to work on this book. We want to understand the world as a complex system and to gain some semblance of control as we inject more and more engineered systems in this existing complex system. We want to answer questions such as: Is emergence systemic, or can we reduce or even eliminate it as we gain enough knowledge about the system, its components, and relations? Do we need better tools and methods to study emergence? We strive to bring together the discipline of complex systems engineering that needs to incorporate the element of complexity, inherent in the very structure of a system, and the elements of emergent behavior that complex system engineering could never design in the first place but still needs to account for.

To this end, we are particularly interested in exploring the subject of emergence through the lens of Modeling and Simulation (M&S). Modeling is the art of simplification and abstraction, taking only “so much” from reality to answer the question put forth at the right abstraction level. Simulation is the increasingly computerized execution of a model over time to understand its dynamic behavior. Such computational means are potent tools that allow scientists and engineers to hypothesize, design, analyze, and even theorize about a particular phenomenon. Can we recreate emergence in such artificial systems in a way that helps us understand emergence in the real system of interest better? What are the limits of such M&S support? Furthermore, M&S supports scientist in social sciences with powerful tools, such as agent-based simulation systems that are increasingly used in support of computational social science. How can we gain insight regarding the natural system by evaluation of such simulations? Can we explore all types of emergence currently discussed by philosophers as well as engineers, or are there limitations and constraints computational scientists need to be aware of?

The goal of this book is to provide an overview of the current discussions on complexity and emergence, and how systems engineering methods in general and simulation methods in particular can help in gaining new insight and support users of complex systems in providing better governance. The book is organized into 16 invited chapters in four sections, providing an overview of philosophical, model engineering, computational methods using simulation, and research specific viewpoints.

The topics addressed in the chapters reflect the different viewpoints on emergence and discuss why we should not rule it out, whether complex systems can be engineered, whether all complex systems can be reduced to complicated systems if we increase our knowledge, how simulation can help to better understand and manage emergence, and what role can system thinking play in understanding emergence? The authors provide a wide variety of approaches to studying emergence ranging from formal system specification that account for emergence, deriving factors from observations of emergence in physics and chemistry, the emergence of language between two hominid agents in a resource-constrained system, and looking at emergence in complex enterprises. The editors conclude the book with observations on a possible research agenda to address some of the grand challenges the complex systems engineering community must consider.

This book is a diverse collection of contributions from a broad background of recognized experts in their field highlighting aspects of complexity and emergence important from their viewpoint. By bringing them together in one compendium, we hope to spawn a discussion on new methods and tools needed to address the challenges of complexity that obviously go beyond the limits of traditional approaches.

Saurabh Mittal, Herndon, VA

Saikou Diallo, Suffolk, VA

Andreas Tolk, Hampton, VA

September 2017

ABOUT THE EDITORS

Saurabh Mittal is the lead systems engineer/scientist in the Modeling, Simulation, Experimentation, and Analytics (MSEA) Technical Center of the MITRE Corporation. He is also affiliated with Dunip Technologies, LLC, and Society of Computer Simulation (SCS) International. He currently serves as associate editor-in-chief for Transactions of SCS and editor-in-chief of Enterprise Architecture Body of Knowledge (EABOK) Consortium. He received his M.S. and Ph.D. degrees in electrical and computer engineering from the University of Arizona. Previously, he was a scientist and architect at National Renewable Energy Laboratory, Department of Energy at Golden, Colorado, where he contributed to complex energy systems and co-simulation environments. He also worked at L3 Link Simulation & Training at 711 HPW, US Air Force Research Lab at Wright-Patterson Air Force Base, Ohio, where he contributed to integrating artificial agents and various cognitive architectures in Live, Virtual and Constructive (LVC) environments using formal systems theoretical model-based engineering approaches. He was a research assistant professor at the Department of Electrical and Computer Engineering at the University of Arizona. Dr. Mittal served as general chair of Springsim'17 and SummerSim'15, vice general chair for SpringSim'16 and SummerSim'14, and program chair for SpringSim'15. He is the founding chair for M&S and Complexity in Intelligent, Adaptive and Autonomous (MSCIAAS) Symposium offered in Springsim, Summersim, and Winter Simulation Conferences. He is a recipient of US Department of Defense (DoD) highest civilian contraction recognition: Golden Eagle award (2006) and SCS's Outstanding Service (2016) and Professional Contribution (2017) award. He has coauthored over 80 articles in various international conferences and journals, including books titled “Netcentric System of Systems Engineering with DEVS Unified Process” and “Guide to Simulation-based disciplines: Advancing our computational future” that serves the areas of executable architectures; service-oriented distributed simulation; formal Systems M&S; system of systems engineering; multiplatform modeling; intelligence-based, complex, adaptive, and autonomous systems; and large-scale M&S integration and interoperability.

Saikou Diallo is a research associate professor at the Virginia Modeling, Analysis and Simulation Center, and an adjunct professor at Old Dominion University. Dr. Diallo has studied the concepts of interoperability of simulations and composability of models for over 15 years. He is VMASC's lead researcher in Simulated Empathy where he focuses on applying modeling and simulation to study how people connect with one another and experience their environment and creations. He currently has a grant to conduct research into modeling religion, culture, and civilizations. He is also involved in developing cloud-based simulation engines and user interfaces in order to promote the use of simulation outside of traditional engineering fields. Dr. Diallo graduated with a M.S. degree in engineering in 2006 and a Ph.D. in modeling and simulation in 2010 both from Old Dominion University. He is the vice president in charge of conferences and a member of the Board of Directors for the Society for Modeling and Simulation International (SCS). Dr. Diallo has over one hundred publications in peer-reviewed conferences, journals, and books.

Andreas Tolk is technology integrator in the Modeling, Simulation, Experimentation, and Analytics (MSEA) Technical Center of the MITRE Corporation. He is also adjunct full professor of engineering management and systems engineering and modeling, simulation, and visualization engineering at Old Dominion University in Norfolk, Virginia. He holds an M.S. and a Ph.D. degree in computer science from the University of the Federal Armed Forces in Munich, Germany. He published more than 200 contributions to journals, book chapters, and conference proceedings and edited several books on Modeling & Simulation and Systems Engineering. He received the Excellence in Research Award from the Frank Batten College of Engineering and Technology in 2008, the Technical Merit Award from the Simulation Interoperability Standards Organization (SISO) in 2010, and the Outstanding Professional Contributions Award from the Society for Modeling and Simulation (SCS) in 2012, and the Distinguished Achievement Award from SCS in 2014. He is a fellow of SCS and a senior member of ACM and IEEE.

LIST OF CONTRIBUTORS

Lachlan Birdsey

School of Computer Science

The University of Adelaide

Adelaide, SA 5005

Australia

Chih-Chun Chen

Department of Engineering

University of Cambridge

Cambridge CB2 1PZ

UK

Steven Corns

Department of Engineering Management and Systems Engineering

Missouri University of Science and Technology

Rolla, MO 65401

USA

Nathan Crilly

Department of Engineering

University of Cambridge

Cambridge CB2 1PZ

UK

Saikou Diallo

Virginia Modeling, Analysis & Simulation Center

Old Dominion University

Suffolk, VA

USA

Umut Durak

German Aerospace Center

Cologne

Germany

David C. Earnest

Department of Political Science

University of South Dakota

Vermillion, SD 57069

USA

Erika Frydenlund

Virginia Modeling, Analysis and Simulation Center

Old Dominion University

Suffolk, VA 23435

USA

Ross Gore

Virginia Modeling, Analysis and Simulation Center

Old Dominion University

Norfolk, VA 23529

USA

John J. Johnson IV

Systems Thinking & Solutions

Ashburn, VA 20148

USA

Matthew T.K. Koehler

The MITRE Corporation

Bedford, MA

USA

Justin E. Lane

Institute of Cognitive and Evolutionary Anthropology

Department of Anthropology

University of Oxford

64 Banbury Road, Oxford OX2 6PN

UK

and

LEVYNA, Ústav religionistiky

Masaryk University

Veveří 28, Brno 602 00

Czech Republic

Suzanna Long

Department of Engineering Management and Systems Engineering

Missouri University of Science and Technology

Rolla, MO 65401

USA

Saurabh Mittal

The MITRE Corporation

McLean, VA

USA

Michael D. Norman

The MITRE Corporation

Bedford, MA

USA

Akhilesh Ojha

Department of Engineering Management and Systems Engineering

Missouri University of Science and Technology

Rolla, MO 65401

USA

Tuncer Ören

School of Electrical Engineering and Computer Science

University of Ottawa

Ottawa

Canada

Jose J. Padilla

Virginia Modeling Analysis and Simulation Center

Old Dominion University

Suffolk, VA

USA

Robert Pitsko

The MITRE Corporation

McLean, VA

USA

Ruwen Qin

Department of Engineering Management and Systems Engineering

Missouri University of Science and Technology

Rolla, MO 65401

USA

William B. Rouse

Center for Complex Systems and Enterprises

Stevens Institute of Technology

1 Castle Point Terrace, Hoboken, NJ 07030

USA

Tom Shoberg

U.S. Geological Survey

CEGIS

Rolla, MO 65409

USA

F. LeRon Shults

Institute for Religion, Philosophy and History

University of Agder

Kristiansand 4604

Norway

Andres Sousa-Poza

Engineering Management & System Engineering

Old Dominion University

Norfolk, VA 23529

USA

John Symons

Department of Philosophy

The University of Kansas

Lawrence, KS 66045

USA

Claudia Szabo

School of Computer Science

The University of Adelaide

Adelaide, SA 5005

Australia

Andreas Tolk

The MITRE Corporation

Hampton, VA

USA

Wesley J. Wildman

School of Theology

Boston University

Boston, MA 02215

USA

and

Center for Mind and Culture

Boston, MA 02215

USA

Levent Yilmaz

Department of Computer Science and Software Engineering, Samuel Ginn College of Engineering

Auburn University

Auburn, AL 36849

USA

Bernard P. Zeigler

RTSync Corporation

University of Arizona

Tucson, AZ

USA

SECTION I

EMERGENT BEHAVIOR IN COMPLEX SYSTEMS

Chapter 1METAPHYSICAL AND SCIENTIFIC ACCOUNTS OF EMERGENCE: VARIETIES OF FUNDAMENTALITY AND THEORETICAL COMPLETENESS

John Symons

Department of Philosophy, The University of Kansas, Lawrence, KS, 66045, USA

SUMMARY

The concept of emergence figures prominently in contemporary science. It has roots in philosophical reflection on the nature of fundamentality and novelty that took place in the early decades of the twentieth century. Although it is no longer necessary to offer philosophical defenses of the science of emergent properties, attention to basic metaphysical questions remains important for engineering and scientific purposes. Most importantly, this chapter argues for precision with respect to what scientists and engineers take to count as fundamental for the sake of their uses of the concept of emergence.

INTRODUCTION

Two defining characteristics, novelty and naturalness, mark the concept of emergence. When emergent properties are first instantiated, they are said to be novel in some difficult to specify, but presumably nontrivial, sense. Although every moment of natural history is new in the sense of being at least at a different time from what came before, the kind of novelty that is associated with emergent properties is understood to constitute a metaphysically significant difference. What might that significance amount to? Very roughly, we can say that if an emergent property appears, there is a new kind of entity or property on the scene. Not just more of the same. To claim that a property, say for example a property like transparency, liquidity, or consciousness, is emergent is to make a judgment about the way it relates to more fundamental features of the world. The emergent property or entity differs in kind from that which preexisted it or is more fundamental than it. The first task of this chapter is to explore what it might mean for emergent properties to relate or fail to be related to more fundamental properties.

The discussion of emergent properties in scientific and philosophical research has emphasized discontinuities and differences between the emergent property and the prior or more fundamental properties from which it arises. However, emergent properties are not just discontinuous with what came before. They are also thought to be part of the natural order in some intelligible sense. According to most contemporary proponents, emergent properties are not unnaturally or supernaturally new (their appearance is not miraculous) but instead can be understood scientifically insofar as they are intelligibly connected with parts of the natural world and in particular with other properties that are prior or more fundamental.

The scientific problem of emergence involves understanding the relations between the emergent property and the more fundamental or prior properties. The practical payoff of this understanding is improved levels of prediction and control over those emergent properties and entities that concern us most.

TO EXPLAIN IS NOT TO ELIMINATE

How could there be an intelligible connection between metaphysically distinct kinds? In one sense, this is a question only a philosopher would bother asking. There are plenty of simple examples. Take Putnam's (1975, 295–298) famous example of the explanation for why a square peg fails to pass through a round hole. The rigidity of the pegs and the rigidity of the walls of the holes are dependent on their physical structure. However, the property of being able to pass through a hole of a particular size and shape is a different kind of property than the properties governing the physical constituents of the peg. Geometrical facts about the sizes of the cross section of the peg and the hole are sufficient to explain the facts about the pegs being able to pass through. An attempt to account for this higher level property in terms of the physics governing the particles in the peg would result in an unexplanatory, albeit a true and very long, description of the particular case. The geometrical explanation, by contrast is simple, provides clear guidance for interaction in the system and generalizes beyond this particular peg and hole to all pegs, all holes, and beyond.

The geometrical explanation explains many things at various scales, including why we have round manhole covers rather than square ones. Manhole covers have the property of not falling dangerously on people working in the sewers below because of the circular (rather than, say, rectangular) shape of the covers. This is one example of how we can intelligibly connect distinct kinds of properties. The microphysical properties of this particular peg, its particular material instantiation, can be connected with the macro-level property of passing through this particular hole via a geometrical explanation. That geometrical explanation has the virtue of being applicable beyond this particular case. The property of being a hole, being able to pass through, having a particular stable shape in space, having the particular microphysics that this peg has, and so on, are connected in the explanation in a way that satisfies our demand for explanation in this context perfectly.

Putnam intended this to be an example of a non-reductive explanation, as, he thought, the material constitution of the peg is almost completely irrelevant to the explanation of its fitting or failing to fit. His use of this example was meant to indicate the role of explanations that are not simply descriptions of physical microstates of systems. There is more going on in nature, he argued, than merely the microphysical.

Philosophers in the 1960s and 1970s were very concerned with the distinction between what they saw as reductive and non-reductive explanation. They fixated on the distinction between reductionist and anti-reductionist explanations because of their concern for the ontological implications of explanations. For some, the threat of reductionism is that we are encouraged to believe that one kind of object simply does not exist insofar as it can be described in terms of some more basic kind of object. This is an ontological concern. Notice that it involves a judgment that is independent of the process of explanation: We might decide that the existence of certain kinds of explanation license ontologies with fewer things in them. Thus, given the fact that we can explain traffic jams on the highway in terms of the interactions of individual vehicles, we might be tempted to draw the ontological conclusion that there is no traffic jam. Notice that if one decided to take this strategy with respect to one's ontology, it is a step beyond what the explanation of the traffic jam by itself tells us. In fact, I would argue, one needs to justify the step from a successful reductive scientific explanation to the claim that because of this successful explanation we can therefore eliminate the thing that has been explained from our ontology. Furthermore, in paradigmatically reductionist explanations, we see examples of intelligible relations being discovered between distinct kinds of properties. For example, subatomic particles are not the kinds of things that have properties like rigidity or wetness. A structural explanation of the subatomic constituents of a diamond goes some way toward explaining why the diamond in the engagement ring is rigid. There is an intelligible relation between the macro-properties of the diamond and the micro-properties of its constituents that adverts to the structure of the diamond crystal. Properties like hardness or rigidity are manifest only on some scales and result from interactions of large numbers of molecules. There is simply no non-relational explanation of why diamond molecules give rise to hardness. These relations, like the geometrical properties of Putnam's pegs, are not built into their relata.

The concern among philosophers is inspired by the concern that giving an explanation is equivalent to explaining away. Philosophers sometimes argue, following Carnap and Quine, that “explication is elimination” in natural science as well as in mathematics. This is due to a mistaken conflation of kinds of explanations and the diverse theoretical goals motivating explanatory projects. Quine's arguments concerning eliminativism were drawn from purely mathematical contexts. He was moved, primarily by his understanding of the history of analysis in nineteenth century mathematics. The infinitesimal is a puzzling artifact of early calculus that (according to popular opinion) we no longer need to include in lessons to high school students thanks to the work of Weierstrass, Dedekind, and Cantor. As the story goes, Weierstrass gave us the means to eliminate the infinitesimal, Dedekind and Cantor helped to finish the job. Quine strongly approved of this story and built his account of explication as elimination upon it.1 He proposed a view that began by individuating metaphysically puzzling notions in mathematics, like the infinitesimal or the ordered pair, via the mathematical roles that they play. Insofar, as they are “prima facie useful to theory and, at the same time, troublesome,” Quine recommended that we simply find other ways to perform their theoretical role. Once we find these other ways, we can stop worrying about those concepts. Like the infinitesimal, they are eliminated (1960a, 266).

The explanatory project that motivates complexity science or other studies of emergent properties is not the same as that which motivated Quine's approach to philosophical analysis. For Quine, the method of philosophical analysis is to “fix on the particular functions of the unclear expression that make is worth troubling about, and then devise a substitute, clear, and couched in terms of our liking that fills those functions” (1960b, 258–259). By contrast, the goal of research in the natural sciences is the discovery of novel objects and relations in the world. The explanatory goal is understanding rather than the rearticulation, in more parsimonious terms, of functions that make the phenomenon worth troubling about.

In scientific and engineering research more generally, this kind of elimination is simply not a goal. Insofar as things like traffic jams or epidemics are troublesome, that trouble is not eliminated by defining ways that other, less troublesome things, cause delays and illness. A traffic jam or an epidemic is not