Network Measurement: past and future Ken Eames Centre for the Mathematical Modelling of Infectious Diseases London School of Hygiene and Tropical Medicine

Measuring networks: Direct measurement Proxy measures Complications: Dynamics Influence of infection What we really want Ongoing/future studies: Linking contact behaviour to infection Improved inference Low-tech and high-tech solutions Outline

As far as we’re concerned, a network consists of a population and its interactions. Networks in epidemiology Conlan et al, Proc. R. Soc. B, 2011

Node attributes: age, gender, location, vaccination status... Link attributes: duration, frequency, stability, proximity, timing… Node Link

Contact tracing, linked to medical records. Reported sexual partnerships, and infection status. Example: sexual networks in Canada Wylie & Jolly, Sex. Transm. Dis., 2001

Observation: visual, video. Contact tracing: with or without infection information. Contact diaries: paper-based, interview-led, or electronic. Electronic tagging: radio, Bluetooth. Direct measurement

Edmunds et al, Proc. R. Soc. B, 1997; Mossong et al, PLoS Med, 2008 Measuring social networks: contact diaries

Duration Frequency Location Physical contact? Who? List of all contacts over the course of day(s). Collect information about participant, the people they meet, and the encounter. Low-tech, but lots of information. Measuring social networks: contact diaries

8661 encounters, 3528 different individuals. 49 participants. 310 shared contacts one-off contacts. If names are recorded accurately we can use contact diaries to reconstruct a social network. Only likely to be possible in a limited setting. Read, Eames, & Edmunds J. R. Soc. Interface, 2008 Contact diaries: Warwick contact network

Data: POLYMOD; Image: Rohani & King If names are not recorded, we can still get useful data. Studies show high levels of like-with-like mixing by age. Largest amount of mixing is between school children. It’s useful and interesting, but it’s not a network. Contact patterns: who mixes with whom?

Might not need a network (i.e. named contacts) study at all. Depends on how much people know about those they interact with. Depends on what we want to do with the data. youngold youngold Town A Town B Networks of attribute types

Familiar contact diary, plus clustering question. Aim to determine which contacts know each other. Contact diaries and ego networks

Home Social Work Respondent Information about clustering within egonet. Measure of clustering by age, social setting, etc. Contact diaries and ego networks

Measuring social networks: electronic tags

Bluetooth has the advantage that it’s commonly accessible. The disadvantage that it’s fairly long-range (& goes through walls). Custom-designed RFID tags can be tuned to record at a required distance, but are relatively expensive. Both approaches allow finer temporal resolution data to be collected. Measuring social networks: electronic tags Catutto et al, PLoS One, 2010

Phone call/social network data: alterative network. Travel patterns: mass movements for spatial models (e.g. air-travel data); individual movements for networks (e.g. cattle movements, commuting data). Location & time-use data: inferring networks from location information. Measuring social networks: proxy measures NetworkPlacePerson A B C Time 1 PlacePerson A B C Time 2

Fatigue: reporting lots of contacts gets very boring. Recall: unless reporting is instant, contacts are forgotten. Accuracy: about the person: how old? about the encounter: how long did we meet for? Matching contacts: how many John Smiths are there? Partial samples: if we only sample a small fraction of the population, is the network still meaningful? Boundaries: where should the study stop? Definition: how do we define a meaningful contact? Many of these are issues for any social contact data study, not just network studies. Automated data collection solves some problems, but only really suitable (currently) for small, specific, populations – a school, or a hospital. Issues with network data collection

Other things that matter: dynamics Participant Number of contacts Networks constantly change: Natural dynamics – birth, death, ageing. Seasonal changes – school holidays, weekends. Day-to-day variation; predictable and chance encounters. The more dynamic a network is, the harder it is to measure. Population mixing becomes less “network” and more “mass action”. Can return to between- group rather than between- individual models (maybe).

Illness can have a large effect on social behaviour: time off work/school means fewer contacts, and a different age- distribution of contacts. Network likely to be reduced – for people who are heavily symptomatic – to “strong” home contacts. Impact of illness on the healthy: social distancing, from real or perceived risk. Other things that matter: illness

We want to know “how people interact”, but this is very woolly. What we really want to know is whom each person would infect if they were infectious with pathogen Topical. There are lots of factors we don’t understand, so instead try to determine whom they’ll meet when they’re ill (&, ideally, give each encounter a transmission probability). We’re not going to be able to measure encounters when people are ill… so instead just measure normal mixing. How do we define “normal”? Let’s just measure mixing today. What do we mean by a contact? Let’s just measure what we can. What do we really want?

Linking contacts and infection Want to link contact behaviour (ideally, network position) to risk of infection. Combine social contact studies and swabbing/symptom surveillance. Which properties of an individual, or their network, matter? Do we really need to measure everything? Until we have measured “everything”, we can’t be sure. Is it going to be the same for every infection? Obviously not. Is it going to be the same in different populations or at different times? Probably not. Can we find robust proxies? Maybe.

Linking contacts and infection Gardy et al, NEJM, 2011

762 survey participants in Hong Kong. Social contact data and paired sera pre- and post H1N1 epidemic. Kucharski, Cowling, Lessler, Read, Cummings, Riley, … Linking contacts and infection Figure removed – unpublished data from Kucharski et al

Welch et al, Epidemics, 2011 Statistical inference framework

Fill in the low-tech gaps. Simple behavioural things we know very little about. Illness, seasonality, stability. Find out what matters, of the stuff we’re missing – modelling to exploit fully current data and guide future data collection. Match the model (& the data) to the intervention. Link to outbreak/illness data. Innovate (not forgetting to handle privacy and anonymity sensitively). To do

“It is essential to begin joint studies that involve epidemiologists, biostatisticians, and modellers. Maybe such an approach would make everyone hold hands, smile and produce something novel.” Sally Blower, in Models for Infectious Human Diseases; their structure and relation to data