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. 2012 Oct 27;56(8):1380–1397. doi: 10.1007/s11430-012-4479-z

Spatial-temporal characteristics of epidemic spread in-out flow—Using SARS epidemic in Beijing as a case study

BiSong Hu 1,2, JianHua Gong 2,3,, JiePing Zhou 2,3, Jun Sun 2, LiYang Yang 2, Yu Xia 1, Abdoul Nasser Ibrahim 2,3
PMCID: PMC7104600  PMID: 32288762

Abstract

For better detecting the spatial-temporal change mode of individual susceptible-infected-symptomatic-treated-recovered epidemic progress and the characteristics of information/material flow in the epidemic spread network between regions, the epidemic spread mechanism of virus input and output was explored based on individuals and spatial regions. Three typical spatial information parameters including working unit/address, onset location and reporting unit were selected and SARS epidemic spread in-out flow in Beijing was defined based on the SARS epidemiological investigation data in China from 2002 to 2003 while its epidemiological characteristics were discussed. Furthermore, by the methods of spatial-temporal statistical analysis and network characteristic analysis, spatial-temporal high-risk hotspots and network structure characteristics of Beijing outer in-out flow were explored, and spatial autocorrelation/heterogeneity, spatial-temporal evolutive rules and structure characteristics of the spread network of Beijing inner in-out flow were comprehensively analyzed. The results show that (1) The outer input flow of SARS epidemic in Beijing concentrated on Shanxi and Guangdong provinces, but the outer output flow was disperse and mainly includes several north provinces such as Guangdong and Shandong. And the control measurement should focus on the early and interim progress of SARS breakout. (2) The inner output cases had significant positive autocorrelative characteristics in the whole studied region, and the high-risk population was young and middle-aged people with ages from 20 to 60 and occupations of medicine and civilian labourer. (3) The downtown districts were main high-risk hotspots of SARS epidemic in Beijing, the northwest suburban districts/counties were secondary high-risk hotspots, and northeast suburban areas were relatively safe. (4) The district/county nodes in inner spread network showed small-world characteristics and information/material flow had notable heterogeneity. The suburban Tongzhou and Changping districts were the underlying high-risk regions, and several suburban districts such as Shunyi and Huairou were the relatively low-risk safe regions as they carried out minority information/material flow. The exploration and analysis based on epidemic spread in-out flow help better detect and discover the potential spatial-temporal evolutive rules and characteristics of SARS epidemic, and provide a more effective theoretical basis for emergency/control measurements and decision-making.

Keywords: in-out flow, SARS, Beijing, epidemic spread network, spatial-temporal characteristics, control measurement

References

  • 1.Dye C., Gay N. Epidemiology modeling the SARS epidemic. Science. 2003;300:1884–1885. doi: 10.1126/science.1086925. [DOI] [PubMed] [Google Scholar]
  • 2.Shi Y. L. Stochastic dynamic model of SARS spreading. Chin Sci Bull. 2003;48:1287–1292. doi: 10.1007/BF03184164. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 3.Jia N., Tsui L. Epidemic modelling using SARS as a case study. North Amer Actuar J. 2005;9:28–42. doi: 10.1080/10920277.2005.10596223. [DOI] [Google Scholar]
  • 4.Anderson R. M., Fraser C., Ghani A. C., et al. Epidemiology, transmission dynamics and control of SARS: The 2002–2003 epidemic. Philos Trans R Soc Lond B Biol Sci. 2004;359:1091–1105. doi: 10.1098/rstb.2004.1490. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 5.Lipsitch M., Cohen T., Cooper B., et al. Transmission dynamics and control of severe acute respiratory syndrome. Science. 2003;300:1966–1970. doi: 10.1126/science.1086616. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 6.Pang X., Zhu Z., Xu F., et al. Evaluation of control measures implemented in the severe acute respiratory syndrome outbreak in Beijing, 2003. JAMA. 2003;290:3215–3221. doi: 10.1001/jama.290.24.3215. [DOI] [PubMed] [Google Scholar]
  • 7.Pang X. H., Liu D. L., Gong X. H., et al. Study on risk factors related to severe acute respiratory syndrome among close contactors in Beijing (in Chinese) Chin J Epidemiol. 2004;25:35–37. [PubMed] [Google Scholar]
  • 8.Fang L. Q., de Vlas S. J., Feng D., et al. Geographical spread of SARS in mainland China. Trop Med Int Health. 2009;14(Suppl1):14–20. doi: 10.1111/j.1365-3156.2008.02189.x. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 9.Wang J. F., Mcmichael A. J., Meng B., et al. Spatial dynamics of an epidemic of severe acute respiratory syndrome in an urban area. Bull World Health Organ. 2006;84:965–968. doi: 10.2471/BLT.06.030247. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 10.Meng B., Wang J. F., Liu J., et al. Understanding the spatial diffusion process of severe acute respiratory syndrome in Beijing. Publ Health. 2005;119:1080–1087. doi: 10.1016/j.puhe.2005.02.003. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 11.Cao Z. D., Zeng D. J., Zheng X. L., et al. Spatio-temporal evolution of Beijing 2003 SARS epidemic. Sci China Earth Sci. 2010;53:1017–1028. doi: 10.1007/s11430-010-0043-x. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 12.Wang J. F., Christakos G., Han W. G., et al. Data-driven exploration of ’spatial pattern-time process-driving forces’ associations of SARS epidemic in Beijing, China. J Public Health (Oxf) 2008;30:234–244. doi: 10.1093/pubmed/fdn023. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 13.Gong J. H., Sun Z. L., Li X. W., et al. Simulation and analysis of control of severe acute respiratory syndrome (in Chinese) J Remote Sensing. 2003;7:260–265. [Google Scholar]
  • 14.Gong J. H., Zhou J. P., Xu S., et al. Dynamics model and multi-agent based simulation of SARS transmission (in Chinese) J Remote Sensing. 2006;10:829–835. [Google Scholar]
  • 15.Lin G. J., Jia X., Ouyang Q. Predict SARS infection with the small world network model (in Chinese) J Peking Univ (Health Sci) 2003;35(Suppl):66–69. [PubMed] [Google Scholar]
  • 16.Small M., Tse C. K. Small world and scale free model of transmission of SARS. Int J Bifurcation Chaos. 2005;15:1745–1755. doi: 10.1142/S0218127405012776. [DOI] [Google Scholar]
  • 17.Wang J. F., Meng B., Zheng X. Y., et al. Analysis on the multi-distribution and the major influencing factors on severe acute respiratory syndrome in Beijing (in Chinese) Chin J Epidemiol. 2005;26:16–20. [PubMed] [Google Scholar]
  • 18.Liu Y. L., Yan S. Y., Li X. W., et al. Study on population migration characteristics in mainland China and its applications to decision-making for SARS control (in Chinese) J Remote Sensing. 2003;7:273–276. [Google Scholar]
  • 19.Jia N., Feng D., Fang L. Q., et al. Case fatality of SARS in mainland China and associated risk factors. Trop Med Int Health. 2009;14(Suppl1):21–27. doi: 10.1111/j.1365-3156.2008.02147.x. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 20.Wu J., Xu F., Zhou W., et al. Risk factors for SARS among persons without known contact with SARS patients, Beijing, China. Emerg Infect Dis. 2004;10:210–216. doi: 10.3201/eid1002.030730. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 21.Lau J. T., Tsui H., Lau M., et al. SARS transmission, risk factors, and prevention in Hong Kong. Emerg Infect Dis. 2004;10:587–592. doi: 10.3201/eid1004.030628. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 22.Tobler W. A computer movie simulating urban growth in the detroit region. Econ Geogr. 1970;46:234–240. doi: 10.2307/143141. [DOI] [Google Scholar]
  • 23.Li X. W., Cao C. X., Chang C. Y. The first law of geography and spatial-temporal proximity (in Chinese) Chin J Nat. 2007;29:69–71. [Google Scholar]
  • 24.Moran P. A. Notes on continuous stochastic phenomena. Biometrika. 1950;37:17–23. [PubMed] [Google Scholar]
  • 25.Geary R. C. The contiguity ratio and statistical mapping. Incorp Statistician. 1954;5:115–145. doi: 10.2307/2986645. [DOI] [Google Scholar]
  • 26.Getis A., Ord J. K. The analysis of spatial association by use of distance statistics. Geogr Anal. 1992;24:189–206. doi: 10.1111/j.1538-4632.1992.tb00261.x. [DOI] [Google Scholar]
  • 27.Anselin L. Local indicators of spatial association-LISA. Geogr Anal. 1995;27:93–115. doi: 10.1111/j.1538-4632.1995.tb00338.x. [DOI] [Google Scholar]
  • 28.Ord J. K., Getis A. Local spatial autocorrelation statistics: Distributional issues and application. Geogr Anal. 1995;27:286–306. doi: 10.1111/j.1538-4632.1995.tb00912.x. [DOI] [Google Scholar]
  • 29.Anselin L. Spatial Analytical Perspectives on GIS. London: Taylor & Francis Ltd; 1996. pp. 111–125. [Google Scholar]
  • 30.Levine N. CrimeStat: A spatial statistics program for the analysis of crime incident locations (version 3.3) Houston, TX: Ned Levine & Associates; 2010. [Google Scholar]
  • 31.Wang J. F., Li X. H., Christakos G., et al. Geographical detectors-based health risk assessment and its application in the neural tube defects study of the Heshun Region, China. Int J Geogr Inf Sci. 2010;24:107–127. doi: 10.1080/13658810802443457. [DOI] [Google Scholar]
  • 32.Watts D. J., Strogatz S. H. Collective dynamics of ’small-world’ networks. Nature. 1998;393:440–442. doi: 10.1038/30918. [DOI] [PubMed] [Google Scholar]
  • 33.Barabasi A. L., Albert R. Emergence of scaling in random networks. Science. 1999;286:509–512. doi: 10.1126/science.286.5439.509. [DOI] [PubMed] [Google Scholar]
  • 34.Amaral L. A., Scala A., Barthelemy M., et al. Classes of small-world networks. Proc Natl Acad Sci USA. 2000;97:11149–11152. doi: 10.1073/pnas.200327197. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 35.Kulldorff M., Nagarwalla N. Spatial disease clusters: Detection and inference. Stat Med. 1995;14:799–810. doi: 10.1002/sim.4780140809. [DOI] [PubMed] [Google Scholar]
  • 36.Kulldorff M. A spatial scan statistic. Commun Stat: Theory Methods. 1997;26:1481–1496. doi: 10.1080/03610929708831995. [DOI] [Google Scholar]
  • 37.Kulldorff M., Heffernan R., Hartman J., et al. A space-time permutation scan statistic for disease outbreak detection. PLoS Med. 2005;2:e59. doi: 10.1371/journal.pmed.0020059. [DOI] [PMC free article] [PubMed] [Google Scholar]

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