Improving and Extending STERGM Approximations Based on Cross-Sectional Data and Tie Durations

References

• Al-Khani, A. M., Khalifa, M. A., Almazrou, A., and Saquib, N. (2020), “The SARS-CoV-2 Pandemic Course in Saudi Arabia: A Dynamic Epidemiological Model,” Infectious Disease Modelling, 5, 766–771. DOI: 10.1016/j.idm.2020.09.006.
   PubMedGoogle Scholar
• Alho, J. M. (1992), “On Prevalence, Incidence, and Duration in General Stable Populations,” Biometrics, 48, 587–592.
   PubMed Web of Science ®Google Scholar
• Almquist, Z. W., and Butts, C. T. (2013), “Dynamic Network Logistic Regression: A Logistic Choice Analysis of Inter- and Intra-group Blog Citation Dynamics in the 2004 US Presidential Election,” Political Analysis, 21, 430–448. DOI: 10.1093/pan/mpt016.
   PubMed Web of Science ®Google Scholar
• Almquist, Z. W., and Butts, C. T. (2018), “Dynamic Network Analysis with Missing Data: Theory and Methods,” Statistica Sinica, 28, 1245–1264. DOI: 10.5705/ss.202016.0108.
   Web of Science ®Google Scholar
• Almquist, Z. W., Spiro, E. S., and Butts, C. T. (2017), “Shifting Attention: Modeling Follower Relationship Dynamics Among US Emergency Management-Related Organizations During a Colorado Wildfire,” in Social Network Analysis of Disaster Response, Recovery, and Adaptation, eds. E. Jones and A. J. Faas, pp. 93–112, Amsterdam: Elsevier.
   Google Scholar
• Althubaiti, A. (2016), “Information Bias in Health Research: Definition, Pitfalls, and Adjustment Methods,” Journal of Multidisciplinary Healthcare, 9, 211–217. DOI: 10.2147/JMDH.S104807.
   PubMed Web of Science ®Google Scholar
• Amusan, O., Thompson, A. F., Aderinola, T. B., and Alese, B. K. (2020), “Modelling Malicious Attack in Social Networks,” Network and Communication Technologies, 5, 37–43. DOI: 10.5539/nct.v5n1p37.
   Google Scholar
• Anderson, E. J., Weiss, K. M., Morris, M. M., Sanchez, T. H., Prasad, P., and Jenness, S. M. (2021), “HIV and Sexually Transmitted Infection Epidemic Potential of Networks of Men Who Have Sex With Men in Two Cities,” Epidemiology, 32, 681–689. DOI: 10.1097/EDE.0000000000001390.
   PubMed Web of Science ®Google Scholar
• Angst, M., and Hirschi, C. (2017), “Network Dynamics in Natural Resource Governance: A Case Study of Swiss Landscape Management,” Policy Studies Journal, 45, 315–336. DOI: 10.1111/psj.12145.
   Web of Science ®Google Scholar
• Antelmi, A., Cordasco, G., Spagnuolo, C., and Scarano, V. (2020), “A Design-Methodology for Epidemic Dynamics via Time-Varying Hypergraphs,” in Proceedings of the 19th International Conference on Autonomous Agents and MultiAgent Systems, AAMAS ’20, pages 61–69, Richland, SC, 2020. International Foundation for Autonomous Agents and Multiagent Systems.
   Google Scholar
• Bartlett, M. S. (1957), “Measles Periodicity and Community Size,” Journal of the Royal Statistical Society, Series A, 120, 48–70. DOI: 10.2307/2342553.
   Web of Science ®Google Scholar
• Broekel, T., and Bednarz, M. (2018), “Disentangling Link Formation and Dissolution in Spatial Networks: An Application of a Two-Mode STERGM to a Project-Based R&D Network in the German Biotechnology Industry,” Networks & Spatial Economics, 18, 677–704. DOI: 10.1007/s11067-018-9430-1.
   Web of Science ®Google Scholar
• Butts, C. T. (2023), “Continuous Time Graph Processes with Known ERGM Equilibria: Contextual Review, Extensions, and Synthesis,” Journal of Mathematical Sociology, (forthcoming). DOI: 10.1080/0022250X.2023.2180001.
   Web of Science ®Google Scholar
• Carnegie, N. B., Krivitsky, P. N., Hunter, D. R., and Goodreau, S. M. (2015), “An Approximation Method for Improving Dynamic Network Model Fitting,” Journal of Computational and Graphical Statistics, 24, 502–519. DOI: 10.1080/10618600.2014.903087.
   PubMed Web of Science ®Google Scholar
• Earnest, R., Ronn, M. M., Bellerose, M., Gift, T. L., Berruti, A. A., Hsu, K. K., Testa, C., Zhu, L., Malyuta, Y., Menzies, N. A., and Salomon, J. A. (2020), “Population-Level Benefits of Extragenital Gonorrhea Screening Among Men Who Have Sex With Men: An Exploratory Modeling Analysis,” Sexually Transmitted Diseases, 47, 484–490. DOI: 10.1097/OLQ.0000000000001189.
   PubMed Web of Science ®Google Scholar
• Ezenwa, V. O., Archie, E. A., Craft, M. E., Hawley, D. M., Martin, L. B., Moore, J., and White, L. (2016), “Host Behaviour-Parasite Feedback: An Essential Link Between Animal Behaviour and Disease Ecology,” Proceedings of the Royal Society B: Biological Sciences, 283, 20153078. DOI: 10.1098/rspb.2015.3078.
   PubMed Web of Science ®Google Scholar
• Ghafouri, S., and Khasteh, S. H. (2020), “A Survey on Exponential Random Graph Models: An Application Perspective,” PeerJ Computer Science, 6, e269. DOI: 10.7717/peerj-cs.269.
   PubMedGoogle Scholar
• Goldstein, N. D., Eppes, S. C., Mackley, A., Tuttle, D., and Paul, D. A. (2017), “A Network Model of Hand Hygiene: How Good Is Good Enough to Stop the Spread of MRSA?” Infection Control & Hospital Epidemiology, 38, 945–952. DOI: 10.1017/ice.2017.116.
   PubMed Web of Science ®Google Scholar
• Goodreau, S., Kitts, J., and Morris, M. (2009), “Birds of a Feather, Or Friend of a Friend?: Using Exponential Random Graph Models to Investigate Adolescent Social Networks,” Demography, 46, 103–125. DOI: 10.1353/dem.0.0045.
   PubMed Web of Science ®Google Scholar
• Goodreau, S. M., Handcock, M. S., Hunter, D. R., Butts, C. T., and Morris, M. (2008), “A statnet Tutorial,” Journal of Statistical Software, 24, 1–26. DOI: 10.18637/jss.v024.i09.
   PubMedGoogle Scholar
• Goodreau, S. M., Rosenberg, E. S., Jenness, S. M., Luisi, N., Stansfield, S. E., Millett, G. A., and Sullivan, P. S. (2017), “Sources of Racial Disparities in HIV Prevalence in Men Who Have Sex With Men in Atlanta, GA, USA: A Modelling Study,” The Lancet HIV, 4, 311–320. DOI: 10.1016/S2352-3018(17)30067-X.
   PubMed Web of Science ®Google Scholar
• Handcock, M. S., Krivitsky, P. N., Hunter, D. R., Butts, C. T., Klumb, C., Goodreau, S. M., and Morris, M. (2003–2022), “Statnet: Tools for the Statistical Modeling of Network Data,” available at https://statnet.org.
   Google Scholar
• Hanneke, S., Fu, W., and Xing, E. P. (2010). “Discrete Temporal Models of Social Networks,” Electronic Journal of Statistics, 4, 585–605. DOI: 10.1214/09-EJS548.
   Web of Science ®Google Scholar
• Hu, Y., Guo, J., Li, G., Lu, X., Li, X., Zhang, Y., Cong, L., Kang, Y., Jia, X., Shi, X., Xie, G., and Zhang, L. (2021), “Role of Efficient Testing and Contact Tracing in Mitigating the COVID-19 Pandemic: A Network Modelling Study,” BMJ Open, 11, e045886. DOI: 10.1136/bmjopen-2020-045886.
   PubMed Web of Science ®Google Scholar
• Hummel, R. M., Hunter, D. R., and Handcock, M. S. (2012), “Improving Simulation-Based Algorithms for Fitting ERGMs,” Journal of Computational and Graphical Statistics, 21, 920–939. DOI: 10.1080/10618600.2012.679224.
   PubMed Web of Science ®Google Scholar
• Hunter, D. (2007), “Curved Exponential Family Models for Social Networks,” Social Networks, 29, 216–230. DOI: 10.1016/j.socnet.2006.08.005.
   PubMed Web of Science ®Google Scholar
• Hunter, D. R., Handcock, M. S., Butts, C. T., Goodreau, S. M., and Morris, M. (2008), “ergm: A Package to Fit, Simulate and Diagnose Exponential-Family Models for Networks,” Journal of Statistical Software, 24, 1–29. DOI: 10.18637/jss.v024.i03.
   PubMedGoogle Scholar
• Jasny, L., and Fisher, D. R. (2019), “Echo Chambers in Climate Science,” Environmental Research Communications, 1, 101003. DOI: 10.1088/2515-7620/ab491c.
   Google Scholar
• Jenness, S. M., Goodreau, S. M., Rosenberg, E., Beylerian, E. N., Hoover, K. W., Smith, D. K., and Sullivan, P. (2016), “Impact of the Centers for Disease Control’s HIV Preexposure Prophylaxis Guidelines for Men Who Have Sex With Men in the United States,” The Journal of Infectious Diseases, 214, 1800–1807. DOI: 10.1093/infdis/jiw223.
   PubMed Web of Science ®Google Scholar
• Jenness, S. M., Weiss, K. M., Goodreau, S. M., Gift, T., Chesson, H., Hoover, K. W., Smith, D. K., Liu, A. Y., Sullivan, P. S., and Rosenberg, E. S. (2017), “Incidence of Gonorrhea and Chlamydia Following Human Immunodeficiency Virus Preexposure Prophylaxis Among Men Who Have Sex With Men: A Modeling Study,” Clinical Infectious Diseases, 65, 712–718. DOI: 10.1093/cid/cix439.
   PubMed Web of Science ®Google Scholar
• Jenness, S. M., Goodreau, S. M., and Morris, M. (2018), “EpiModel: An R Package for Mathematical Modeling of Infectious Disease over Networks,” Journal of Statistical Software, 84, 1–47. DOI: 10.18637/jss.v084.i08.
   PubMed Web of Science ®Google Scholar
• Jenness, S. M., Knowlton, G., Smith, D. K., Marcus, J. L., Anderson, E. J., Siegler, A. J., Jones, J., Sullivan, P. S., and Enns, E. (2021), “A Decision Analytics Model to Optimize Investment in Interventions Targeting the HIV Preexposure Prophylaxis Cascade of Care,” AIDS, 35, 1479–1489. DOI: 10.1097/QAD.0000000000002909.
   PubMed Web of Science ®Google Scholar
• John Higham, D., and de Kergorlay, H.-L. (2022), “Disease Extinction for Susceptible-Infected-Susceptible Models on Dynamic Graphs and Hypergraphs,” Chaos: An Interdisciplinary Journal of Nonlinear Science, 32, 083131. DOI: 10.1063/5.0093776.
   PubMed Web of Science ®Google Scholar
• Jones, J., Le Guillou, A., Gift, T. L., Chesson, H., Bernstein, K. T., Delaney, K. P., Lyles, C., Berruti, A., Sullivan, P. S., and Jenness, S. M. (2022), “Effect of Screening and Treatment for Gonorrhea and Chlamydia on HIV Incidence Among Men Who Have Sex With Men in the United States: A Modeling Analysis,” Sexually Transmitted Diseases, 49, 669–676. DOI: 10.1097/OLQ.0000000000001685.
   PubMed Web of Science ®Google Scholar
• Krivitsky, P. N. (2022), “Modeling of Dynamic Networks Based on Egocentric Data with Durational Information,” arXiv:2203.06866 [stat.ME].
   Google Scholar
• Krivitsky, P. N., and Handcock, M. S. (2014), “A Separable Model for Dynamic Networks,” Journal of the Royal Statistical Society, Series B, 76, 29–46. DOI: 10.1111/rssb.12014.
   Google Scholar
• Krivitsky, P. N., and Morris, M. (2017), “Inference for Social Network Models from Egocentrically Sampled Data, With Application to Understanding Persistent Racial Disparities in HIV Prevalence in the US,” Annals of Applied Statistics, 1, 427–455. DOI: 10.1214/16-AOAS1010.
   Google Scholar
• Krivitsky, P. N., Hunter, D. R., Morris, M., and Klumb, C. (2023), “ergm 4: New Features for Analyzing Exponential-Family Random Graph Models,” Journal of Statistical Software, 105, 1–44. DOI: 10.18637/jss.v105.i06.
   PubMed Web of Science ®Google Scholar
• Le Guillou, A., Buchbinder, S., Scott, H., Liu, A., Havlir, D., Scheer, S., and Jenness, S. M. (2021), “Population Impact and Efficiency of Improvements to HIV PrEP Under Conditions of High ART Coverage Among San Francisco Men Who Have Sex With Men,” JAIDS-Journal of Acquired Immune Deficiency Syndromes, 88, 340–347. DOI: 10.1097/QAI.0000000000002781.
   PubMed Web of Science ®Google Scholar
• Lebacher, M., Thurner, P. W., and Kauermann, G. (2021), “A Dynamic Separable Network Model with Actor Heterogeneity: An Application to Global Weapons Transfers,” Journal of the Royal Statistical Society, Series A, 184, 201–226. DOI: 10.1111/rssa.12620.
   Web of Science ®Google Scholar
• Lopez-Abente, J., Valor-Suarez, C., and Lopez-Abente, G. (2020), “Massive Application of the SARS-CoV-2 Diagnostic Test: Simulation of Its Effect on the Evolution of the Epidemic in Spain,” Epidemiology and Infection, 148, e233. DOI: 10.1017/S0950268820002289.
   PubMed Web of Science ®Google Scholar
• Mittler, J. E., Murphy, J. T., Stansfield, S. E., Peebles, K., Gottlieb, G. S., Abernethy, N. F., Reid, M. C., Goodreau, S. M., and Herbeck, J. T. (2019), “Large Benefits to Youth-Focused HIV Treatment-as-Prevention Efforts in Generalized Heterosexual Populations: An Agent-Based Simulation Model,” PLOS Computational Biology, 15, e1007561. DOI: 10.1371/journal.pcbi.1007561.
   PubMed Web of Science ®Google Scholar
• Mohle, M. (1998), “A Convergence Theorem for Markov Chains Arising in Population Genetics and the Coalescent with Selfing,” Advances in Applied Probability, 30, 493–512. DOI: 10.1239/aap/1035228080.
   Web of Science ®Google Scholar
• Mohle, M., and Notohara, M. (2016), “An Extension of a Convergence Theorem for Markov Chains Arising in Population Genetics,” Journal of Applied Probability, 53, 953–956. DOI: 10.1017/jpr.2016.54.
   Web of Science ®Google Scholar
• Morris, M., Kurth, A. E., Hamilton, D. T., Moody, J., Wakefield, S., and Network Modeling Group. (2009), “Concurrent Partnerships and HIV Prevalence Disparities by Race: Linking Science and Public Health Practice,” American Journal of Public Health, 99, 1023–1031. DOI: 10.2105/AJPH.2008.147835.
   PubMed Web of Science ®Google Scholar
• Park, H., Bellamy, M. A., and Basole, R. C. (2018), “Structural Anatomy and Evolution of Supply Chain Alliance Networks: A Multi-method Approach,” Journal of Operations Management, 63, 79–96. DOI: 10.1016/j.jom.2018.09.001.
   Web of Science ®Google Scholar
• R Core Team (2023), R: A Language and Environment for Statistical Computing, Vienna, Austria: R Foundation for Statistical Computing. Available at https://www.R-project.org/.
   Google Scholar
• Robins, G., Pattison, P., Kalish, Y., and Lusher, D. (2007), “An Introduction to Exponential Random Graph (p*) Models for Social Networks,” Social Networks, 29, 173–191. Special Section: Advances in Exponential Random Graph (p*) Models. DOI: 10.1016/j.socnet.2006.08.002.
   Web of Science ®Google Scholar
• Robinson, S. J., Barbieri, M. M., Murphy, S., Baker, J. D., Harting, A. L., Craft, M. E., and Littnan, C. L. (2018), “Model Recommendations Meet Management Reality: Implementation and Evaluation of a Network-Informed Vaccination Effort for Endangered Hawaiian Monk Seals,” Proceedings of the Royal Society B-Biological Sciences, 285, 20171899. DOI: 10.1098/rspb.2017.1899.
   PubMed Web of Science ®Google Scholar
• Schwob, M. R., Zhan, J., and Dempsey, A. (2021), “Modeling Cell Communication with Time-Dependent Signaling Hypergraphs,” IEEE/ACM Transactions on Computational Biology and Bioinformatics, 18, 1151–1163. DOI: 10.1109/TCBB.2019.2937033.
   PubMed Web of Science ®Google Scholar
• Snijders, T., and Koskinen, J. (2012), “Longitudinal Models,” in Structural Analysis in the Social Sciences, eds. P. J. Carrington, J. Scott, S. Wasserman, pp. 130–140, Cambridge: Cambridge University Press. DOI: 10.1017/CBO9780511894701.013.
   Google Scholar
• Snijders, T. A. B. (2001), “The Statistical Evaluation of Social Network Dynamics,” Sociological Methodology, 31, 361–395. DOI: 10.1111/0081-1750.00099.
   Web of Science ®Google Scholar
• Spicknall, I. H., Pollock, E. D., Clay, P. A., Oster, A. M., Charniga, K., Masters, N., Nakazawa, Y. J., Rainisch, G., Gundlapalli, A. V., and Gift, T. L. (2022), “Modeling the Impact of Sexual Networks in the Transmission of Monkeypox Virus Among Gay, Bisexual, and Other Men Who Have Sex With Men - United States, 2022,” MMWR-Morbidity and Mortality Weekly Report, 71, 1131–1135. DOI: 10.1540/j.reaire.874.125.
   PubMed Web of Science ®Google Scholar
• Webber, Q. M. R., Mark Brigham, R., Park, A. D., Gillam, E. H., O’Shea, T. J., and Willis, C. K. R. (2016), “Social Network Characteristics and Predicted Pathogen Transmission in Summer Colonies of Female Big Brown Bats (Eptesicus Fuscus),” Behavioral Ecology and Sociobiology, 70, 701–712. DOI: 10.1007/s00265-016-2093-3.
   Web of Science ®Google Scholar
• Weiss, K., Goodreau, S., Morris, M., Prasad, P., Ramaraju, R., Sanchez, T., Jenness, S. (2020), “Egocentric Sexual Networks of Men Who Have Sex with Men in the United States: Results from the ARTnet Study,” Epidemics, 30, 100386. DOI: 10.1016/j.epidem.2020.100386.
   PubMed Web of Science ®Google Scholar
• Wilson-Aggarwal, J. K., Ozella, L., Tizzoni, M., Cattuto, C., Swan, G. J. F., Moundai, T., Silk, M. J., Zingeser, J. A., and McDonald, R. A. (2019), “High-Resolution Contact Networks of Free-Ranging Domestic Dogs Canis Familiaris and Implications for Transmission of Infection,” PLOS Neglected Tropical Diseases, 13, e0007565. DOI: 10.1371/journal.pntd.0007565.
   PubMed Web of Science ®Google Scholar
• Xie, J., Bi, Y., Sha, Z., Wang, M., Fu, Y., Contractor, N., Gong, L., and Chen, W. (2019), “Data-Driven Dynamic Network Modeling for Analyzing the Evolution of Product Competitions,” Journal of Mechanical Design, 142, 031112. ASME International Design Engineering Technical Conferences/Computers and Information in Engineering Conference (IDETC-CIE), Anaheim, CA, AUG 18-21, 2019. DOI: 10.1115/1.4045687.
   Web of Science ®Google Scholar
• Zhang, C., Dang, X., Peng, T., and Xue, C. (2019), “Dynamic Evolution of Venture Capital Network in Clean Energy Industries Based on STERGM,” Sustainability, 11, 6313. DOI: 10.3390/su11226313.
   Web of Science ®Google Scholar