| Literature DB >> 33139549 |
Thomas Gessey-Jones1, Colm Connaughton2,3, Robin Dunbar4, Ralph Kenna5,6, Pádraig MacCarron7,8, Cathal O'Conchobhair9, Joseph Yose9,6.
Abstract
Network science and data analytics are used to quantify static and dynamic structures in George R. R. Martin's epic novels, A Song of Ice and Fire, works noted for their scale and complexity. By tracking the network of character interactions as the story unfolds, it is found that structural properties remain approximately stable and comparable to real-world social networks. Furthermore, the degrees of the most connected characters reflect a cognitive limit on the number of concurrent social connections that humans tend to maintain. We also analyze the distribution of time intervals between significant deaths measured with respect to the in-story timeline. These are consistent with power-law distributions commonly found in interevent times for a range of nonviolent human activities in the real world. We propose that structural features in the narrative that are reflected in our actual social world help readers to follow and to relate to the story, despite its sprawling extent. It is also found that the distribution of intervals between significant deaths in chapters is different to that for the in-story timeline; it is geometric rather than power law. Geometric distributions are memoryless in that the time since the last death does not inform as to the time to the next. This provides measurable support for the widely held view that significant deaths in A Song of Ice and Fire are unpredictable chapter by chapter.Entities:
Keywords: A Song of Ice and Fire; Dunbar’s number; Game of Thrones; comparative literature; networks
Mesh:
Year: 2020 PMID: 33139549 PMCID: PMC7682562 DOI: 10.1073/pnas.2006465117
Source DB: PubMed Journal: Proc Natl Acad Sci U S A ISSN: 0027-8424 Impact factor: 11.205
Fig. 1.Network of the most predominant characters. For illustrative purposes we size nodes proportional to the number of chapters in which the characters interact. Edge thicknesses represent the numbers of times that corresponding pair of characters interact in the narrative.
Characters ranked by various network attributes
| Degree | Betweenness centrality |
| Full network | |
| 1. Jon Snow (214) | 1. Jon Snow (0.0889) |
| 2. Jaime Lannister (212) | 2. Barristan Selmy (0.0831) |
| 3. Tyrion Lannister (209) | 3. Arya Stark (0.0777) |
| 4. Catelyn Stark (204) | 4. Tyrion Lannister (0.0700) |
| 5. Arya Stark (192) | 5. Theon Greyjoy (0.0671) |
| 6. Theon Greyjoy (175) | 6. Jaime Lannister (0.0606) |
| 7. Cersei Lannister (161) | 7. Catelyn Stark (0.0568) |
| 9. Sansa Stark (156) | |
| 10. Barristan Selmy (156) | 10. Eddard Stark (0.0351) |
| 12. Eddard Stark (140) | 12. Sansa Stark (0.0275) |
| 16. Brienne of Tarth (108) | 13. Cersei Lannister (0.0250) |
| 17. Bran Stark (106) | 14. Brienne of Tarth (0.0236) |
| 19. Daenerys Targaryen (104) | 17. Samwell Tarly (0.0207) |
| 20. Samwell Tarly (103) | 18. Bran Stark (0.0202) |
| 51. Davos Seaworth (72) | 21. Daenerys Targaryen (0.0185) |
| 25. Davos Seaworth (0.0167) | |
| Survivor network | |
| 1. Tyrion Lannister (162) | 1. Tyrion Lannister (0.0972) |
| 2. Jon Snow (150) | 2. Barristan Selmy (0.0952) |
| 3. Jaime Lannister (149) | 3. Arya Stark (0.0923) |
| 4. Arya Stark (135) | 4. Theon Greyjoy (0.0909) |
| 5. Sansa Stark (122) | 5. Jon Snow (0.0871) |
| 6. Cersei Lannister (120) | |
| 7. Theon Greyjoy (115) | 7. Jaime Lannister (0.0805) |
| 8. Barristan Selmy (103) | 8. Sansa Stark (0.0408) |
| 9. Samwell Tarly (0.0320) | |
| 10. Brienne of Tarth (83) | 10. Cersei Lannister (0.0310) |
| 12. Samwell Tarly (79) | 12. Brienne of Tarth (0.0274) |
| 18. Daenerys Targaryen (69) | 13. Bran Stark (0.0248) |
| 20. Bran Stark (68) | 17. Davos Seaworth (0.0184) |
| 38. Davos Seaworth (54) | 33. Daenerys Targaryen (0.0093) |
Characters are ranked by degree and betweenness centrality (with values in parentheses). The three non-POV characters that appear in the top 10 are highlighted in boldface, and major POV characters who do not appear in the top 10 are also listed. Qualitatively, it appears that the 14 major POV characters correlate well with the most important characters by both measures.
Fig. 2.Number of characters in the narrative. (A) Number of characters appearing in each individual chapter. This shows significant fluctuations chapter by chapter and fluctuates around 35 by the end of A Game of Thrones. (B) Evolution of the cumulative number of characters appearing in the narrative by chapter (blue) and of characters introduced who have not yet died (green). Both curves grow approximately linearly throughout Ice and Fire. Labels AGOT, ACOK, ASOS, AFFC, and ADWD represent A Game of Thrones, A Clash of Kings, A Storm of Swords, A Feast for Crows, and A Dance with Dragons, respectively.
Fig. 3.Evolution of network properties by chapter labeled as in Fig. 2. (A) Evolution of the average degree. After a period of initial growth as main characters are introduced, the average degree stabilizes at around 16 for the network involving all characters and around 12 if only the living characters are included. (B) Evolution of the degree assortativity. After the first book (A Game of Thrones), the assortativity for the living-character network fluctuates around 0. While the assortativity of the full network (blue) also fluctuates, it stays slightly disassortative for the later books.
Fig. 4.Timeline of significant character deaths in Ice and Fire. (A) Number of deaths by chapter (discourse time). (B) Number of deaths by date (story time).
Fig. 5.Empirical distributions of interevent times for significant deaths measured by chapter (discourse time), with fit to geometric distribution. A geometric distribution is memoryless in that it is what would be expected if deaths are maximally unpredictable throughout, as is suggested by many readers/viewers of the series.
Fig. 6.Empirical distributions of interevent times for significant deaths by date (story time). Date here is measured using the fictional Westerosi calendar. Shown in blue is the best-fit discrete power law (Zeta) distribution.