Contents Foreword by Maurice Godelier ix Preface xi Acknowledgements xv List of Analyses xvii List of Figures xviii List of Tables xx List of Photos xxi List of Hypotheses xxii List of Analyses xxiii Chapter 1 Introduction: Networks, Ethnography and Emergence 1 Chapter 2 Problems of Analysis 59 Chapter 3 Ethnographic Setting 97 Chapter 4 Theory, Rules and Exceptions 111 Chapter 5 Network Models and Complexity: Measures, Graphs, and Context Chapter 6 Clan Structures and Dynamics 125 161 Chapter 7 Marriage, Rank and Migration: Fractality in Social Structure 221 Chapter 8 Demography, Structure, and Social Change 285 Chapter 9 Decentralized Leadership and Network Cohesion 307 Chapter 10 Graphic Approaches to Nomad Solidarity: The Endo-Conical Clan 359 Chapter 11 Conclusions 389 Selected Bibliography 421 About the Authors 437 Appendix: The Nomad Genealogical Data and the WWW 439 Glossary 443 End 459 ii Glossary Contents by Chapter Foreword by Maurice Godelier Preface XXI Organization of the Chapters Acknowledgements Further Reading XXIII XXIX XXX Chapter 1: Introduction 1 Networks and Ethnography Why Networks? The Path of Network Analysis in the 1960s A Network Paradigm Developed in Long-term Field Studies What is different now? Ethnography and Complex Interactive Processes Network Theory and Emergence: Four Propositions 2 3 4 5 7 8 Structural Properties The probabilistic theory of network topology and dynamics Generalizing the theory of network topology and dynamics Micro-macro Linkages as Explanatory Principles Configurational Effects Emergents Ethnography and Emergence Unexpected Change: Emergence and Ethnography When does Network Analysis Matter? Sidedness: An Example where Propositions B through E Apply 1 Emergence and Network Analysis in Ethnography Social Organization and Structure Organization and Groups Emergent Rules and Emergent Groups Cohesion and Emergent Groups Structural Cohesion as a Non-local Emergent Bounded and Overlapping Multiconnectivity Groups Edges and Boundaries Further Reading Notes to Chapter 1 Chapter 2: Problems of Analysis in a Network Approach Kinship and Marriage in Genealogical Networks Emergent Patterns from Behavioral Choices Key Analytic Terms for Social Network Groupings A Representation for Kinship Networks 9 11 22 24 27 27 29 33 34 36 37 38 38 39 41 45 46 48 49 49 59 8 10 10 15 Glossary P-graph From Genealogies to Genealogical Networks Method: Preparation of Data The P-graph Genealogies Computer Analysis Coding of Data Spreadsheeting and Transforming the Network Data Computer Assisted Analysis Providing Data and Analytic Tools for Analysis Summary Further Reading Notes to Chapter 2 Chapter 3: Ethnographic Setting Historical Background Fieldwork Conditions Population Group Names and Multiple Levels of Membership Economic Basis and Inheritance Rules Lineages, Islam and FBD Marriage Leadership Summary Further Reading Notes to Chapter 3 Chapter 4: Theories, Rules, Exceptions and Models Recurring Groups, Linking Alliances: A Critique Rules for Generating Recurrence in Social Structure Main Sequence Theory of Clustering in Social Structure Elementary Structure Theory of Exchange in Social Structure Bourdieu: Ethnography Confronts Descent and Alliance Theory Diachronics and Diversity Rules for Generating Diversity: FBD Marriage Summary Further Reading Notes to Chapter 4 Chapter 5: Network Models and Complexity: Measures, Graphs, and Sensitivity to Context iii 15 17 17 18 26 26 28 28 30 32 35 35 37 37 38 39 42 42 43 45 45 47 47 49 53 55 56 68 71 71 77 Models for Large Networks, Small Worlds 77 Small Worlds with Navigability 78 Realistic Social Network Models for Complex Small Worlds 79 Models for the Aydınlı: Lineage Fractals and Complex Small World Networks Aydınlı Marriage Networks as Complex Small Worlds of a Generalized `Arab´ Type with Segmented Lineages 80 81 iv Glossary Simulation Models Investigating Fractal Marriage Networks through Simulations: Agent-based Models Hammel’s Principle of Demographic Network Biases: The Example of Status Bias Feynman Simulation Deepening the Foundation for a Network Theory of Kinship The Axiom of Choice Baselines of Measurement of Particular Types of Marriage Prevalence Interactive Rate Relative rate Distributional Measures for Marriage Types Exponential Distribution Power law Distribution Truncation and Testing Distribution Temporal Distribution Using Graph Theory in the Study of Kinship Networks Summary Further Reading Notes to Chapter 5 Chapter 6: Clan Structures and Dynamics 112 The Oral Tradition: Reconstructing the Past Taking the Genealogies Oral Traditions of the Lineage Founders The Genealogy and Relinking Marriage Written Historical Data about the Development of the Clan Clan Amalgamation Social Ranking of the Lineages Intermarriages and Descent as Bases of Clan Cohesion Sedentarization and Genealogical Memory Social Terminology and Social Change Introduction to the Computer Analyses, 1 – 20 A Note on Software Analysis 1: Finding Generation, Counting Marriages Tabulation by Generations Computing Generational Depth Keying the Dates Generational Statistics Tabulation of Marriages Tabulation of Children Analysis 2: The Structural Endogamy Hypothesis Bicomponents and Giant Bicomponents Distance Analysis 3: Structural Endogamy with Outside Tribes A Single Tribal Origin Analysis 4: Clan Roots – Singularity and Multiplicity 85 85 87 89 92 92 93 93 95 96 96 97 97 98 98 99 104 109 110 112 113 115 121 121 122 123 125 126 126 127 127 128 13 3 134 134 135 137 138 139 142 144 147 153 155 Glossary v Analysis 5: Relinking as Attractor for Further Marriage Affecting Size of Groups 159 Analysis 6: Dispersal of Marriages in Clan Integration and the Exponential Distribution of Ancestors 162 Summary 166 Further Reading 168 Notes to Chapter 6 168 Chapter 7: Marriage, Rank and Seasonal Migration: Fractality in Social Structure Equality and Rank Competition for Social Rank and Feuding Barth’s Model of Nomad Dynamics Negotiations and Choice at Marriage Bride Payments and the FBD Marriage and the Extended Family Meeting a Potential Spouse in the Circle of Families, Enlarged through Close Ties of Reciprocal Exchange Analysis 7: Local Curvature and Network Structure 185 186 186 187 188 194 195 195b Analysis 7 begins to deal with the scaling and fractality of social organization and because of the level of technicality the average reader may want to skip to the next major heading dealing with Equality in Generation between Husband and Wife followed by Analysis 8. For others, especially those with an interest in how complexity theory applies to social organization, this will be one of the most interesting sections of the book. Local Clustering Density The Lowland-Highland Continuum Local Clustering Density and Continuum Scaling The Cascade of Lineage Segments and their Fractal Relations Structural Properties of the Sublineage Marriage Network A Small-World Network of Strong Ties: local clustering and short distances among reciprocating sublineages Equality in Generation between Husband and Wife Ambiguities of Individual and Marriage “Generation” Individual and Marriage Generation as Mutually Informative Analysis 8: Same Generation Marriage and the Qur’an The Problem with Counting Generations for Individuals Rank, Seniority and Lineage The Distance between Norms and Behavior Difference between Marriage Frequencies and Preferences Analysis 9: Fractality in a Marriage System 195i 199 200 202 203 204 206 207 208 208 Analysis 9 continues with fractality and issues of complexity in social organization that are evaluated by examining the entire distribution of different forms of marriage within a genealogical network. The reader may want to skip to the summary of this chapter. A summary in the complexity theory appears in White and Houseman (2002). Competition and Fractality; Fractality Defined and Tested The Fractality of Two-family Relinking Fractally Segmented Lineages of Self Organizing Systems Summary Further Readings 209 213 214 216 219 vi Glossary Notes to Chapter 7 Chapter 8: Demographic Choice and Constraint: Historical Structure and Change Demographic Opportunity and Constraint as influences on Social Cohesion, Resilience and Change Analysis 10: Co-selection Bias among Siblings Marriage Choice and Constraint Spatial and Network Constraints in Finding a Spouse Demographic Constraints in Choice of a Spouse Analysis 11: Cousin Marriage Demography FBD and the Agnatic Line FBD Marriage: Index of Tradition, or Generator of Diversity MBD Marriage: The Effects of Spatiality and Demography Analysis 12: FBD and MZD Demography Compared Theory and Measurement: FBD and MZD Demographics MZD-FBD Inverse Correlation: Residence as a Third Factor Findings from Controlled Simulation Marriage and Social Change Stayers and Leavers Revisited Summary Further Readings Chapter 9: Decentralized Leadership and Network Cohesion Decentralized Leadership and the Aydınlı Case Aydınlı Leadership and Network Cohesion Network Cohesion Created by Marriage as a Predictor of Emergent Leadership: Hypotheses and Measures Measuring Network Cohesion created by Marriage The Logical Construction of Social Cohesion Reliance on Dependant Nodes for Cohesion in Kinship Networks Direct versus Mediated Forms of Cohesion Analysis 13: Hierarchical Embedding of Cohesion Concentric Rings of Decreasing Pairwise Connectivity Leadership and Levels of Exocohesion The Erosion of Exocohesion over Time Growth of Size as a Dilution of the Exocohesive Groups Tanıdık Kişi and cohesion Analysis 14: Exclusion Principles, Cohesion versus Adhesion Adhesion versus Cohesion (Maxflow versus Point Connectivity) Marriage Behavior that Avoids Enhancement of the Centrality of Others Analysis 15: Distributed Cohesion in Kinship Networks Analysis 16: Network and Attribute Leadership Predictors Entrepreneurship and Parents’ Status as Predictors of Emergent Leadership Leadership, Marriage, and Social Change 219 221 222 227 228 229 231 233 233 236 242 242 243 245 247 247 250 251a 2251b 252 254 257 258 264 266 269 274 282 Glossary vii Analysis 17: Overall Cohesion, Lineage and Leaders Summary Further Readings Notes to Chapter 9 283 289 290 291 Chapter 10: Graphic Approaches to Nomad Solidarity: Possibilities and Problems of Graphic Analysis The Endo-conical Clan Analysis 18: Age Ranking and the Endo-conical Clan Analysis 19: Levels of Relinking Maximal Chains Chain-reduced Graphs Demographic Change in the Stayer Bias for Larger Families Analysis 20: Time Slice Graphs of Network Change Recent Breaks in the Cohesive Relinking of the Clan Summary Further Reading Notes to Chapter 10 Chapter 11: Overview and Conclusions 293 297 304 304 305 307 309 313 316 317 318 325 Overview Dynamics: The Long-term Findings Long-term Ethnography versus Longitudinal Analysis 325 The Tractability of Longitudinal Analysis Ethnogenesis of the Clan: Understanding Dynamic Complexity Clan Cohesion, Segmentation, Expulsion and Transformation Enlarging the Concepts concerning Clans Decline: Demographic Changes through Outmigration and Continued Viability of The Anthropology of Relations Norms and Behavior: the Fit of Analysis and Informant Reports Structural Endogamy as Extra-cohesive Connectivity Reproduced in the Practice of Marital Relinking: Social Inclusion and Exclusion Subgroup Analysis Leadership and the Political System Measuring Relinking Density and the Porousness of Structural Endogamy Identification of Emergent Forms Intra-lineage and Blood Marriages as Extra-cohesive Relinking Graphic Approaches General Methodological Conclusions Complexity Theory Looking to the Future of Longitudinal Studies Summary Looking to the Future of Longitudinal Studies Complexity Theory Further Readings 327 329 330 332 336 336 337 338 341 344 344 345 348 349 351 352 352a viii Glossary Notes to Chapter 11 352b Selected Bibliography 352e Glossary Further Reading Notes to the Glossary 373 373 List of Photos Frontispiece: June 14, 1957, the funeral of patriarch Fındıklı Abbas (840, lineage #2), after 14 days, attended by most of the family heads. Some of those in competition with the brother of the deceased who became tanıdık kişi that same year, like some of the Kırbaşı lineage (#4), and Haci Molla (99, #1), did not attend. Ethnographic and Leadership: Patriarchs: Chapter 3 Chapter 6 List of Analyses by Chapter page 6 Clan Structures and Dynamics Analysis 1: Finding Generations, Counting Marriages Analysis 2: The Structural Endogamy Hypothesis Analysis 3: Structural Endogamy with Outside Tribes Analysis 4: Clan Roots—Singularity and Multiplicity Analysis 5: Relinking as an Attractor for Further Marriage and Migration Affecting Size of Groups 143 154 162 169 174 7 Marriage, Rank and Migration: Fractality in Social Structure Analysis 6: Dispersal of Marriages in Clan Integration and Exponential Distribution of Ancestors Analysis 7: Network Neighborhood Local Clustering and Curvature Analysis 8: Same-generation Marriage and the Qur’an Analysis 9: Fractality in a Marriage System 177 183 203 208 8 Demography, Structure and Social Change Analysis 10: Co-selection Bias among Siblings Analysis 11: Cousin Marriage Demography Analysis 12: FBD and MZD Demography Compared 234 222 277 9 Decentralized Leadership and Network Cohesion Analysis 13: Hierarchical Embedding of Cohesion Analysis 14: Exclusion Principles, Cohesion vs. Adhesion Analysis 15: Distributed Cohesion in Kinship Networks 257 264 269 Glossary ix Analysis 16: Network and Attribute Leadership Predictors 274 Analysis 17: Overall Cohesion, Lineage and Leaders 283 10 Graphic Approaches to Nomad Solidarity: The Endo-Conical Clan Analysis 18: Age Ranking and the Endo-Conical Clan 297 Analysis 19: Levels of Relinking 304 Analysis 20: Time Slice Graphs of Network Change 309 List of Maps Map 6.1: Pasturelands near Aydın (early), Antalya and Adana (late) List of Figures 1.1: Network Analysis as Controlled Simulation 1.2: Some feedback processes in networks 1.3: Power law micro-macro links for phone calls 1.3: Power law micro-macro links for phone calls 1.4: Power-Law alphas 1.5. Lower α in power-law distributions increases local inequality, adding searchability while lowering global inequality 1.6: Covariation between power-law coefficients and size for scale-free networks, showing the ranges on network topologies 1.7: Signed Graphs with (0), (1), (2) and (3) Clusters 1.8: A Cohesive Group that excludes a clique 1.9: A 4-Cohesive Group 2.1: Ordinary Genealogy Converted to a P-graph 2.2: Core Genealogy, Lineages 1, 4 and 6 2.3: Core Genealogy, Lineages 2 and 3 2.4: Core Genealogy, Lineages 5, 7, 9 and 10 2.5: Another Segment of Lineage 1, and Lineage 8 2.6: Changes in the Genealogy, 2003 2.7: A More Conventional Genealogical Graph 4.1 Murdock’s main sequence* rules for kinship groups 4.2: Moiety self-replication as an elementary structure 4.3: MBD self-replication as elementary marriage structure 4.4: FZD self-replication as elementary marriage structure 4.5: FBD—Father’s Brother’s Daughter—marriage 4.6: FBD and FFBSD marriage as replicators of diversity x Glossary 5.1: Hammel’s Principle Applied to Cross-Cousin Marriages 6.1: Male Lineages among the 253 Structurally Endogamous Marriages (arcs: 234) 6.2: Female Lineages among the 253 Structurally Endogamous Marriages (arcs: 187) 6.3: Remembered Children 6.4: P-graphs of selected types of 1-, 2- and 3- family relinking 6.5: Relinked Bicomponents in the Most Recent Generation 6.6: Egocentric Distances from the Clan Leader (597 “Dede,” node 23) in the Bicomponents of the Most Recent Generation 6.7: Clan Structure of the temporal amalgamation of tribal identities and lineage assimilation 6.8: The Clan ‘Root,’ Koca Mustan 6.9: The Apical Ancestor of the 90% of those down to Contemporary Nomad Clan Members, drawn with Pajek 6.10: Percent membership of men (upper chart) and women (lower chart) in lineages 1-10 over 8 generations, showing also turn taking in clan leadership. 6.11: Descendants of Aydınlı and Austrian Village Ancestors 6.12: Mustan’s lineage (black nodes), sizes show Centralities 7.1: Barth’s Tribal Dynamics (family and lineage level) 7.2: Moral Exchange Spheres for Lineage, Clan, Outside 7.3: Reciprocal and Directed Bride-Giving between Lineages 7.4: Reciprocal and Directed Bride-Giving, Lineages Scaled 7.5: Lineage Alignment and Ties along the Migration Route 7.6: Reciprocal and One-way Marriages among Sublineages: Height in the vertical axis shows ‘fractal’ departure from the more general alignments of marriages among lineages shown in Figure 7.4 that replicate for a majority of sublineages at the bottom 7.7: The Sixteen Possible Triads for a Triad Census 7.8: Reciprocal and Directed Bride-Giving among Subineages 7.9: Marriage Alliances of a Referent Lineage with two other Lineages and the Local Clustering Density (transitivity) of Triples 7.10: Bride Exchanges between Lineages and Transitivity of Triples, correlated with Number of Alliances with other Lineages 7.11: Cousin Marriage Probabilities Fit to Small World Searchability Power law 1/distanceα, α=1.6 is the scaling coefficient 7.12: Power Law Fractality of Marriage Frequencies 7.13: The Fractality of Consanguineal Marriage Frequencies Glossary xi 7.14: The Fractality of Marriage Relinking Frequencies 7.15: Fractal Expansion for a Patrilineage Branching of 3 8.1: Stayer-Leaver Brothers by same Father 8.2: Stayer-Leaver Brothers by same Parents 8.3: Comparison of Changes in Cousin Marriage Rates using Absolute, Percent Married of those Available, and Relative numbers 8.4: Changes in Marriage Rates in Agnatic Lines 8.5: Comparison of Changes in Patrilateral Marriage Rates using Absolute numbers and Percent Married of those Available 8.6: Changes in Matri-Cross and Similar Cousin Marriages 8.7: Changes in Percent Emigration of Men and Women, from generations 3 (1875) to 7 (1990) 8.8: Changes in Marriage Rates in Uterine Lines 8.9: Bipolar Continuum between FBD and MZD marriages 8.10: The Effects of Environment, Fertility and Sibship Size on Stayers' Sublineage Sizes 9.1: p-graph with pairwise connectivity beyond a bicomponent 9.2: a k-block that is not a k-component for k=3 9.3: Hierarchical clustering of Pairwise Connectivity Values 9.4: Erosion of cohesion over time in tanıdık kişi groups 9.5: The Six Leadership and Exocohesive Kin Groups— Atemporal Cohesion (V=253, A=431, index of relinking=.74) 9.6: The Six Leadership and Exocohesive Kin Groups—Temporal Perspective 9.7: The Six Leadership and Exocohesive Kin Groups minus peripherals—Atemporal Cohesion 9.8: The Six Leadership and Exocohesive Kin Groups minus peripherals—Temporal Perspective 9.9: Logged Plot of Variables used in Predicting Leadership 9.10: Scaling of Marriage Networks for Overall Cohesion 10.1: 3-D Graphic of the Entire Nomad Genealogy 10.2: 3-D Graphic—Relinking Marriages among Nomad Kin 10.3: Depth First Search (left) and Aydınlı Partial DFS Reckoning 10.4: Comparison of Bicomponents (Structural Endogamy) formed by Birth Order Sets 10.5: Comparison of Birth Orders within Bicomponents 10.6: Egocentered Graph a and Labeled Reduction b 10.7: Maximal Chains (non-branching) of Length 5, 4 and 3 xii Glossary 10.8.1: Small Families Dispose to Emigration (p=.02, generations a-h) 10.8.2: Small Families Dispose to Emigration (absolute numbers in latest generation as computed by p-graph; p<.001, tau b=.32) 10.9: Continuity, Migration, and Fragmentation in Four Time Periods (those marked in bold in Table 10.1.1) 10.10: Kinship Disconnection and Migration in the most recent (green, yellow) Generations of Period 7 11.1: Embedding of Successive Exocohesive Groups in Clan Structure and Support for Exocohesively Embedded Leadership 11.2: Dynamics of Clan Reproduction involving Cohesion, Social Embeddedness and Leadership List of Tables 1.1: Small-world networks, ordered by scaling characteristics for power law, size, degree, degree correlation, and clustering 1.2: Classification of Some Structural Principles 2.1: Format for Nomad Genealogical Data in Table 2.2 2.2: Sample Individual Records for the Genealogical Data 5.1: Measures of Behavior for Types of Marriage 5.2: Key Definitions and Useful Theorems 6.1.1: Keying the two estimates of birth cohorts for men 6.1.2: Keying the two estimates of birth cohorts for women 6.2: Statistics for Generations 6.3: Distribution of Successive Marriages for those Married 6.4: Test of Hypothesis 6.4—Relinking and Cohesion Pearson’s coefficient r = .95 without middle cells 6.5: Intertribal Marriages 6.6: Relinking and Relinking by Lineage (Consanguineal Marriage) as a Function of Lineage Size 6.7: Lineage Intermarriages and Leadership Roles 7.1 Local Clustering Density and Lineage Attributes 7.2: Exogamous marriages ordered from lowlands to highlands in more recent times correlated with scaling order of lineage according to endogamous marriages 7.3: Results of the Triad Census among Sublineages Glossary xiii 7.4: Relative generations of individual marriages using Johansen’s classification of husbands and wives 7.5: Generational Depth in Blood Marriages 8.1: Number of Males by Number of Brothers by Generation 8.2: Male Demographics by Generation 8.3: Parallel Cousin Marriage through Time by (a) Relative Rates (relative to all cousin marriages) and (b) Selective Rates (by available cousins of each type) 8.4: Parallel Second Cousin Marriage through Time by (a) Relative Rates (relative to all cousin marriages) and (b) Selective Rates (by available cousins of each type) 8.5: Comparison of Actual with Simulated Parallel Cousin Marriage Frequencies 9.1: Crosstab of Nodal Degree for Couples by Cohesion Group 9.2: Exocohesive Groups by Dates of Leaders, Size and Pairwise connectivity 9.3: Membership of tanıdık kişi couples by Cohesion Groups 9.4: Adhesion compared with Cohesion 9.5: Factor Analysis of Geodesic Distances 9.6 Leaders and their Wives and Daughters-in Law 9.7: Summary of Data Relevant to Lineages, their Exocohesive Integration in the Clan, and Emergent Leadership (Hypothesis 9.11), for the Cohesive Structure in Figure 9.10 10.1: Defining Features of Clan Types 10.2: Analysis of Kinship Cohesion in Bicomponents for Successive Historical Periods of two-four generations 10.3: Analysis of Kinship Cohesion (with no migrants, if different) in Bicomponents for Successive Historical Periods of two-four generations 10.4: Analysis of Kinship Cohesion in Simulated Bicomponents for Successive Historical Periods with comparable data as in 10.2 and 10.3 (all results here are Feynman-simulated data) 10.5: Simulation Analysis of Kinship Cohesion (Bicomponents) in Successive Historical Periods of three-four generations List of Hypotheses 1.1: Scale-free phenomena in social networks that veer toward an alpha power of 3 or greater have fewer organizational constraints on the xiv Glossary individual actor or node while those that are closer to an α ~ 1 have more imposed organizational constraints. 1.2: Starting from a model of pure preferential attachment where α ~ 3 (micro-macro linkage 1), there is local navigability in scale-free networks with clustering and use of local hubs for searches for α < 3 that would allow an evolutionary pathway driven by local search behavior (micro-macro linkage 2) for increased use of local hubs and reduction in the alpha parameter as local inequality increases. It may be out of this emergent process that organizational structures and constraints emerge. [Reciprocity, structural cohesion and small worlds are also good examples where Hypothesis 1.2 will apply.] 1.3: Further, with greater global equality paradoxically concomitant with the rise in local inequality as alpha moves from 3 towards 1, there may be (1) macro benefits in the distribution of resources with global equality, and (2) the evolution from diffusive rates of distribution to directed velocities of resources flows that are concomitant with the evolution of organizations. 1.4: The transition from α ~ 3 to α → 1 is also density driven. 4.1.1: In the historical mercantile-religious context and the Arabized tribal context—that of the Seljuk ancestors of the Aydınlı—resulting from seventh and eighth century Islamic conquest, FBD and other lineage-endogamous marriages involve a cascade of different types of marriages of different frequencies at varying kinship distances which decay in their frequency as distance is increased, but also decay in distance from clusters of lineage segments that are linked. 4.1.2: The ensemble of marriages associated with the spread of the preference for FBD marriage constitutes a system for diversifying marriages as a means of distance-decay integration that centers on deep patrilineages, and the alliances between them. 4.1.3: Variability within the ensemble of marriages associated with the spread of the preference for FBD daughter marriage reflects adaptations of this complex to local conditions. 4.2.1 (production): Cattle nomads tend toward much larger production units than the small-animal and/or camel nomads. Consistent with this inference is the observation that while camel and/or small animal nomads have wealth differences or elites differentiated by their Glossary xv control of scarce resources, cattle nomads may have even higher political stratification concomitant with larger scale and density. 4.2.2 (lineages): Lineages, camel and/or small animal nomads have a greater likelihood of small production units than cattle nomads and a stronger tendency toward lineage fission or segmentation at the lowest level, such as lineage-mate cousins. 4.2.3 (exchange): Differential risk of herd depletion among pastoralists puts a premium on shared risk reduction and wealth transfers at marriage such as bride payments that provide means of social exchange (where stock circulates against brides) and that provision a husband’s group at the time of his marriage, thereby redistributing stock. 4.2.4 (networks linking lineages): Pastoral nomad networks of social exchange—with brides moving against stock—are usually of much larger scale among cattle nomads than among small animal and camel nomads. Rights over cattle and bride payment distribution are entailed in wealth-holding corporations based on kinship. These corporations are usually patrilineages, compatible in Murdock’s theory with patrilocality and the male-biased division of labor. Patrilineages with members in multiple communities—sibs—are common among pastoral nomads. 4.2.5 (marriage): A crucial difference in rules of marriage is the tendency toward lineage exogamy among cattle nomads, while small animal and cattle nomads tend to have non-exogamous lineages—with FBD marriage allowed. 4.2.6 (exogamy): Small-scale exchange networks can be constituted by kinship and marriage links without large or exogamous corporate groups. Large-scale kinship and marriage networks, in contrast, require exogamy to extend the density of the network at a wider range, while adding to the depth at which members are linked through common ancestors may enlarge the exogamous corporate group. 5.1: Aydınlı genealogical network has the structural properties of a searchable or complex small world (CSW). 5.2: The Aydınlı genealogical network has properties of a searchable or complex small world (CSW) that are shared with many Arabized societies of the Middle East. 5.2: Not only does the Aydınlı marriage network have the characteristics of a searchable or complex small world, but this is a common characteristic of those Middle Eastern Arab or Arabized societies with segmented patrilineages. xvi Glossary 6.1: Relinking marriages knit together the entire nomad clan as a cohesive alliance network. 6.1.1: Marriages that do not relink are the couples that leave the group to settle into village life; or, alternately: 6.1.2: Marriages that do not relink are those of affines or ancestors originating outside the clan. 6.2: The clan is not the largest unit of structural endogamy: structural endogamy extends to maritally allied nomadic tribes as well. A probable correlate of the ambiguous meaning of kabile —for clan, lineage and sometimes tribe or larger unit— is the units of structural endogamy that occur at maximal levels of social cohesion. 6.3: In a small closely-knit society—specifically, with high endogamy through relinking and high rates of consanguineal kin marriages— there will tend to emerge over 6-8 generations the actuality and the perception that most members of the society are descended from a common ancestor or ancestral root. 6.4: The position of a lineage such as #2 that has more blood kin in other lineages due to a dominant common ancestor ought to be an attractor to continued residence in the clan and an attractor to further consanguineal marriages with lineage #2. 6.5: Our theory of clan integration through relinking, if correct, would predict a high dispersion of marriages between different lineages. We would further expect claims for clan leadership to be more concentrated in the larger lineages and so to predict (1) a tendency for larger lineages to reinforce their claims to leadership by higher proportions of intra-lineage endogamy, and (2) a tendency for smaller lineages to concentrate their marriage alliances with the larger lineages, proportionally more than the size of the larger lineage would predict. 7.1: Aydınlı marriages are characterized by the network neighborhood model. 7.2: The topology of Aydınlı nomad marriage alliance networks tends to have one major dimension of variation, along a national integrationremoteness (town to country) continuum. 7.3: The scaling of relative cohesion in marriage alliances among Aydınlı lineages, which reflects a remoteness-integration continuum, also corresponds to differences in their rates of marriage to external groups such as other tribes, remote villages, and more central villages, towns and cities Glossary xvii 7.4: High local clustering densities apply not just to lineages (Hypothesis 7.1) but fractally, to overlapping sublineages. 7.5: A topology of clustering and transitivity in the Aydınlı sublineage marriage alliance network will show up in a triad census or reciprocal and nonreciprocal marriage alliances. 7.6: The triad census of the Aydınlı sublineage marriage alliance network supports a topological model of a small world (clustering, transitivity, and short chains). 7.7: Strong ties (that is, reciprocated marriage alliances) act as the primary bridges reducing network distances in the links between sublineages. 7.8: It is the strong and not the weak ties that create local clustering densities. 7.9: Weak-tie directed marriage exchanges that constitute directed flows of bride payments in exchange for brides are facilitated by the existence of strong-tie connectivities throughout the network and, more specifically, tend to have fractal “self-similarity” with local clustering and the more global cohesion created by strong ties in the network. 7.10: Marriages, consistent with the Qur’an, are mostly of the same generation in the kinship network. 7.11: Given the possibilities of disruptive feuding in fraternal interest groups such as agnatic lineages with co-residential sublineage segments, and especially lineages with a right to marry lineage mates, same-generation marriage is an important functional element that reduces the competition between generations over wives. 7.12: The diversity of types of consanguineal marriage among Aydınlı nomads fits the small world model with searchability discussed in Chapter 5. 7.13: Given the possibilities of disruptive feuding in agnatic lineages with a right to marry lineage mates, and with co-residential sublineage segments, where marriage operates to create cohesion within as well as between lineages, same-generation marriage is an element that operates to reduce the competition between generations over wives. 8.1 (Co-Selection Bias among Brothers): Because cooperation among co-resident siblings and lineage mates is crucial to the local production units of a pastoral economy, we expected that males with more brothers would be more likely to continue to reside with the clan, while those with fewer brothers would be more likely to emigrate. xviii Glossary Hypothesis 8.2.1: The agnatic principle in marriage is not diminishing in importance. 8.2.2: There is a general preference for closer patrilateral parallel cousins than for more distant ones. 8.2.3. The tendency of FBD marriage to decline in absolute numbers in this century is a result of demographic factors. These might include greater numbers of nomads shifting to village life, or a decline in size of sibling sets due to a demographic 8.3: The increase in MZD selective marriage rates is a result of greater sedentary contact in which visiting patterns entail a greater likelihood of meeting relatives linked through females. 8.4: FBD marriages tend to increase in frequency as MZD marriages decrease, according to a third factor that influences them: Greater patrilocality and lesser visiting of female relatives who have emigrated from the home community augment the likelihood of FZD marriage and diminishes that of marriage with MZD. 8.5: Cousin marriage preferences for the Turkish nomads are not extended through lineage principles. That is, the only parallel cousin marriages that occur with a frequency greater than expected by chance, in comparison with a controlled simulation of clan marriages (with siblings proscribed), are those of first cousins and not those of more distant cousins. 9.1.1: Differences in the extent to which individuals or couples are cohesively linked in the kinship network of the broad social group of the nomad clan are predictive of broad-based social and political support for potential leaders, and thus of the emergence of particular individuals as tanıdık kişi, the emergent leaders of the clan. 9.1.2: Measures of cohesion will be better predictors of tanıdık kişi emergent leadership than measures of degree, closeness, betweenness or eigen centrality (see Glossary). 9.2: The nomad clan is integrated not by mutually exclusive exocohesive clusters with some overlay but by a single hierarchical order of successively embedded exocohesive blocks. 9.3: Positions of clan leadership are associated with differential exocohesiveness levels within the clan bicomponent. 9.4: Members of more central groups will tend to avoid alliances such that the centrality or dominance of others is enhanced. 9.5: Tanıdık kişi group leaders are differentiated by relatively long genealogical distances among themselves, without diminishing the over- Glossary xix all cohesion of their multiple connections, which may vary in distance. 9.6: Nomad cohesion is not organized in tightly clustered factions, each having short-distance connections, but through distributed connectivities. 9.7: Rotating leadership in the clan, which occurs among men with the attributes and qualifications for emergent leadership, also depends on networks of kinship support through distributed cohesion throughout the clan. 9.8.1: Status may just vary by numbers of supporters from one’s lineage. (Predictor: Size of husband’s or wife’s lineage.) 9.8.2: The broader the overall span of a potential leader’s links to others in the clan, the greater their support from others and the higher the support for their rank. (Predictor: Network closeness centrality.) 9.8.3: The more prominent males occupy positions of maximum betweenness centrality as between different segments of the clan. Their genealogical links put them in the best positions to mediate between various factions and thereby to gain support through conflict resolution. (Predictor: Network betweenness centrality.) 9.8.4: As between patriarchs of two contending groups, vying for leadership, the boundary in the network where removal of the minimum number of nodes would cleave into two opposing factions would predict the division into two clusters of supporters. (Predictor: Exocohesive embedding. This is the similar to Hypothesis 9.8.1, restated for pairwise connectivity (which applies to k-blocks). 9.8.5: The variables involved in the ranking of prominent men (and affecting the status of their lineages) involve not only the size of their group, the alliances of their family and lineage, and influence exerted through the kinship network, but qualitative variables such as personal influence, character and charisma. 9.9: In most periods of succession, a son of one of the wealthiest families in that period that has not already held leadership tends to emerge as leader. Because of the father’s wealth, that man can get several wives even before taking leadership, and the wealth, wives, married sons and well-connected daughters-in-law already presuppose that this man’s family will already have the large type of tent this is a sign of leadership status and of a size in which others can gather for discussions. 9.10: The fathers of tanıdık kişi can be predicted from the same type of network and other variables specified in hypotheses 9.7.1 through xx Glossary 9.7.5, as applied to the fathers rather than the son as a candidate for tanıdık kişi. 9.11: In temporal sequence, the lineage with the greatest distributive cohesion within the clan is the one in which a leader emerges (the causality here is one of recursion, or mutual influence, rather than unidirectional). During the tenure of leadership, competitors emerge and the next lineage to emerge with the greatest distributive cohesion in the clan is the one that takes over clan leadership. As time goes on, the distributive cohesion of lineages of earlier leaders decays. In considering the cohesion of a lineage, the role of allies and marriage alliances need also be considered as contributing to cohesion of a leadership factional core that is larger than that of a single leader. 9.12: To use terms from the alliance theory of Lévi-Strauss, it might be inferred from the preceding analysis that, historically, the lineages of clan leaders occupied positions of clan cohesion corresponding to generalized exchange (in our terms: distributed alliances). In contrast, lineages marginal to clan leadership have more restricted exchanges. 9.13: The basis of leadership is changing, after the 1980s, from distributed cohesion in which a leader’s extended marital ties through lineage-mates is of central importance, to cohesion based on personal networks that are narrower and limited in ability to integrate broad support within the clan. 10.1: First and second sons are more important in marital relinking within the clan than are younger sons. 10.2: In the traditional system of leadership, emergent leaders and their fathers are likely to be first or second sons (or to segment to form a new lineage in a different clan). 10.3: The kinship network of Aydınlı clan members is not only highly cohesive, but compactly cohesive: It has short maximal chains (almost never longer than two), and the removal of longer maximal chains has little effect on the boundaries of structural endogamy or on the relinking index. 10.4: Without adult siblings as a source of a coresidential and cooperative group, individuals are more likely to emigrate. 10.5: There is a breakup of cohesion in the generation born after 1960 (Table 10.1.1 Period 6, Figure 10.9 graph 4). 10.6: There is a breakup of cohesion in the generation born after 1985 (Period 8). Glossary xxi