06/07/2021

CECAN Webinar (July 2021) Case-based modelling and scenario simulation for ex-post evaluation -- Further adventures with COMPLEX-IT

The following documents and links are in support of the CECAN Webinar (July 2021) run by Corey Schimpf, Peter Barbrook-Johnson and myself.

We focused on how to use the scenario simulation tab in COMPLEX-IT. It was titled, appropriately enough:Case-based modelling and scenario simulation for ex-post evaluation -- Further adventures with COMPLEX-IT

To begin, we would like to thank CECAN and our respective universities and methods centres: CECAN, University at Buffalo (The State University of New York), Oxford University, and the Durham Research Methods Centre. 

SUMMARY

Our presentation is based on a recent paper we published:

Abstract
Despite 20 years of increasing acceptance, implementing complexity-appropriate methods for expost evaluation remains a challenge: instead of focusing on complex interventions, methods need to help evaluators better explore how policies (no matter how simple) take place in real-world, open, dynamic systems where many intertwined factors about the cases being targeted affect outcomes in numerous ways. To assist in this advance, we developed case-based scenario simulation, a new visually intuitive evaluation tool grounded in a data-driven, case-based, computational modelling approach, which evaluators can use to explore counterfactuals, status-quo trends, and what-if scenarios for some potential set of real or imagined interventions. To demonstrate the value and versatility of case-based scenario simulation we explore four published evaluations that differ in design (cross sectional, longitudinal, and experimental) and purpose (learning or accountability), and present a prospective view of how case-based scenario simulation could support and enhance evaluators’ efforts in these complex contexts.

RESOURCES

  • CLICK HERE for the YOUTUBE VIDEO of our presentation

 






 

 


19/06/2021

Western Civilization and its Global Discontents in Pandemic: COVID-19 vs 1918 Flu – How technology changed our world!

Tim Fowler and I would like to thank the Body and Medicine in Latin Poetry Network for the opportunity to present at their one-day marathon webinar, Disease, Community and Communication from Antiquity to Today (19 June, 2021). In particular, we would like to thank Chiara Blanco (Trinity College, Oxford), Michael Goyette (Eckerd College), Allegra Hahn (Durham University), and Simona Martorana (Durham University).

The title of our talk was, Western Civilization and its Global Discontents in Pandemic: COVID-19 vs 1918 Flu – How technology changed our world!

Here is an abridged version of our argument -- CLICK HERE FOR THE POWERPOINT.
  • For this talk we used the symmetry between the 1918 Flu Pandemic and the 2020 COIVD-19 to explore in what ways our current pandemic is similar to recent pandemics and in what ways it is different. 

EXAMPLES OF SIMILARITIES
  • Examples of similarities include the way both pandemics revealed significant health disparities and social inequalities amongst western societies of the global north, particularly along lines of social class, gender, and ethnicity.
  • Other similarities include how both pandemics involved a series of epidemiological waves, along with a focus on addressing the airborne nature of both infectious diseases, including mask wearing, quarantine, social distancing, and hand washing

EXAMPLES OF DIFFERENCES -- IT IS ALL ABOUT TECHNOLOGY

  • One key differences is that, while several vaccinations were created to address COVID-19, no vaccinations emerged to address the H1N1 virus upon which the 1918 pandemic was based.
  • The result was a massive loss of life during the 1918 pandemic, to such an extent that medical historians are not sure on the exact number of morbidity and mortality.
    • It is estimated that about 500 million people or one-third of the world’s population became infected with the virus. The number of deaths was estimated to be at least 50 million worldwide.
IT'S ALL ABOUT TECHNOLOGY!
  • Probably one of the most important differences is that while the 1918 flu pandemic was a very modern phenomenon, the 2020 COVID-19 pandemic is a very postmodern phenomenon. 
  • Our argument is that, while there were some key changes in western societies of the global north as a function of COVID-19, the primary social determinant of change is technology. Without these technological advances, life post COVID-19 would probably not look much different to 2019. With them the world is profoundly different.
  • Examples of changes not driven by technology include  
    • New public health involvement in policy and politics. 
    • The new approach to government – get pragmatic or face ruin. 
    • A renewed commitment to infectious disease. 
    • The messy adaptability amongst citizens to life in pandemic.
  • The key technologies presently changing our world(s) are:
    • Medical Science and Vaccinations.
    • Amazon Society, Gig Services, and the Work-at-Home Economy.
    • Zoom Culture and Global Social Networks.
    • Virtual Science -- Simulating Public Health Issues. 
  • These technological innovations are not necessarily new. They have been making this impact for a few decades. The pandemic allowed them to emerge to the forefront of daily life in a way that they otherwise would not have.

In this short blog, we do not have time to unpack this argument. Our goal is to write a more in-depth summary for a general audience. We will post once it is published.

 

 

26/05/2021

Exploring trajectories of comorbid depression and physical health -- Centre for Urban Mental Health and IAS Lecture University of Amsterdam

I want to thank the Centre for Urban Mental Health and
Prof. dr. C. L. (Claudi) Bockting, as well as the Institute of Advanced Study at the University of Amsterdam for the opportunity to lecture and to be a fellow during the 2021-2022 year.

The topic for this lecture was an article my colleagues and I published in 2018, Exploring trajectories of comorbid depression and physical health

CLICK HERE FOR A COPY OF THE PAPER

CLICK HERE FOR A PDF OF THE POWERPOINT PRESENTATION

My presentation was organised as follows:

1. First, I introduced the challenge of modelling co-morbid depression and physical health across time and linking that temporal co-evolution to a profile of key social and psychological determinants. 

2. Second, I provided a summary of how the tools of case-based complexity can be used to model such complexity. And how this approach is an advance over current method.

3. Third, I explored how we used case-based complexity to arrive at novel insights into the dynamics of depression and co-morbid physical health and the profile of social and psychological determinants that helps to explain these dynamics.

4. I ended by showing how COMPLEX-IT can be used to conduct a similar analysis of co-morbid depression and physical health. COMPLEX-IT is a mixed-methods online R-studio software package that my colleagues and I developed for employing a case-based complexity approach. Written and video tutorials on how to use COMPLEX-IT can be found by clicking this link.

CLICK HERE to download our recent publication summarising how COMPLEX-IT works.


ADDITIONAL RESOURCES

Click here for an INSTRUCTIONAL VIDEO on how to use COMPLEX-IT for modelling policy data. Specifically, the video discussed how we modelled COVID-19 trends for the North East of England Spring 2020 for the local councils and the NHS. COVID-19 EXAMPLE FOR LONGITUDINAL CLUSTERING OF DYNAMIC TRENDS.

CLICK HERE to download a copy of our article using case-based complexity to study allostatic load.

CLICK HERE to download a copy of the SpringerBrief book we wrote applying case-based complexity to a public health study in the midwest in the United States.

CLICK HERE for addtional papers on case-based complexity, the SACS Tookit and COMPLEX-IT. 


CLICK HERE for a link to an R Shiny App we developed Spring 2020 to intially model COVID-19 trends in the North East of England based on trends taking place two to three weeks earlier in the provinces of Italy.









11/03/2021

What if Michelangelo had an Instagram account?

The past couple weeks I've been re-reading one of my favourite books, Michelangelo and the Pope's Ceiling, which is a wonderful daily account of the four painstaking years Michelangelo spent painting the Sistine Chapel. At the same time I just happened to be setting up an Instagram account to provide updates of some of the art I've been working on, to share with family and friends. 

That is when it hit me: what if Michelangelo had an Instagram account or was on Twitter? How weird would that be? 

Perhaps not that weird. One of the things I really enjoy about Michelangelo and the Pope's Ceiling is its portrayal of this genius as a flesh-and-blood person. We get to see the daily life of a real human being, as opposed to some mythic figure, creating one of the greatest works of art in the history of human society.

Let's face it, Michelangelo was not exactly a social butterfly. Solitary and melancholy are probably good words to describe him, perhaps even chronically grumpy! If alive today he most likely would despise social media. Michelangelo did however have his gripes, and he was obsessed with documenting the minutiae of his daily life -- groceries, art supply purchases, etc. It is not entirely improbable to think he might have enjoyed the exacting nature of daily posts, as well as the opportunity to 'air his complaints and grievances' about the people who got on his nerves!

Plus, even though it was the 1500s, artists of his stature did have their audience. Not Frida Kahlo or Pablo Picasso level fame. But the Renaissance was the birth of the artist as rock star. So as I read Michelangelo and the Pope's Ceiling I kept hearing in my mind's ear the Twitter posts he might have shared:






  

 

More important, I could see the incredible images he would share on Instagram! This, more than anything, would draw me into his account.





 














 

What's my point?

Perhaps my imagination has gotten the best of me, and maybe the Twitter posts would be a bit much (LOL!), but life is tough. Art brings us joy, it makes us think, it gives us permission to feel, to be inspired, to realise why this whole mortal coil thing is worth it, and why life is so precious and wonderful. Genius like Michelangelo only happens every now and then. Most of us will never get to see the art in person. To have a front row seat to its unfolding, even if only on social media, would be a real joy.


22/09/2020

Complexity's Futurescapes, a fellowship lecture for the Institute of Advanced Study, University of Amsterdam

We would like to thank the Institute of Advanced Study at the University of Amsterdam for the opportunity to present the preliminary results of a study we are conducting and will publish in 2022 with Edward Elgar.

 

Here is a link to a PDF copy of our presentation.

Please do not cite without permission.

 

brian.c.castellani@durham.ac.uk and gerrits@ihs.nl

 

Here is a brief overview of our presentation, as found on the IAS website:


We, Brian Castellani and Lasse Gerrits, are working on the ‘Atlas of Social Complexity’. In this project, we take stock of where the analysis of social complexity stands and survey the future of the field, including mapping the most exciting territories. The field has advanced considerably over the last twenty-five years, reaching into just about every area of social inquiry – from sociology and economics to the public policy and urban planning – to become one of the largest research areas in the complexity sciences. It has also become, more recently, entangled with the dramatic rise in big data and digital social science; and it sits at the nexus of some of the biggest global problems we face, from climate change to the instabilities of the global economy.

Despite these advances, the field is by no means mature, facing twelve challenges, all of which need addressing. Examples of those challenges include a methodological privileging of the micro over the macro; a rather noncritical embrace of the latest developments in computational modelling and big data and machine learning; the canonization of the field’s core concepts such as self-organisation and emergence; and the absence of a developed theory of power relations and inequality. What is needed, then, is a proper mapping of where the field has been, what is presently taking place, and what yet needs to be done, and with it a more rigorous and critical cartography of where we are in 2020.

The purpose of this event is two-fold. First, it is to introduce the preliminary work we have done on the Atlas, including the field’s twelve key challenges and what we tentatively see as the cross-cutting areas of work being done to address or get free from them. Second, it is to set the framework for potentially interviewing colleagues around the work they are doing to likewise push past the current challenges of the field.

03/07/2020

Part 6: 'COMPLEX-IT: User-friendly computational modelling software for exploring COVID-19 data'

BLOG POST 5 of N

This post is the 6th of several devoted to addressing the complex challenges of modelling the coronavirus as a public health issue. It is also about clarifying for a wider audience how and why such modelling is important, as well as the value and power of complex systems thinking and computational modelling for public health policy.


COMPLEX-IT: Software for Modelling Complex Multiple COVID-19 Trends
Recently my colleagues Peter Barbrook-Johnson and Corey Schimpf did a webinar for the Centre for the Evaluation of Complexity Across the Nexus (CECAN) on how to use our modelling software, COMPLEX-IT, for exploring complex multiple regonal trends of the cumulative incidence of COVID-19 cases across a given period of time.

We are sharing the webinar here for those interested in seeing how this software can be used to help with understanding the spread fo COVID-19 in a way that is in line with the previous five blog posts I've done on how best to approach modelling these types of public health problems.

COMPLEX-IT
For those interested in exploring COMPLEX-IT, our website has an beta online and downloadable version, as well as tutorials and readings. Note: this is educational software for learning purposes only. To explore COMPLEX-IT CLICK HERE! 





03/06/2020

Part 5 -- Why we need locally/nationally interdependent models to successfully exit COVID-19 lockdown

BLOG POST 5 of N

This post is the 5th of several devoted to addressing the complex challenges of modelling the coronavirus as a public health issue. It is also about clarifying for a wider audience how and why such modelling is important, as well as the value and power of complex systems thinking and computational modelling for public health policy.

THE IMPORTANCE OF INTERDEPENDENT LOCAL/NATIONAL MODELLING
Recently my colleague, Camila Caiado and I published a piece in The Conversation, titled appropriately enough Coronavirus: why we need local models to successfully exit lockdown


The piece outlines an argument that we are by no means alone in making. In fact, it is something argued widely in the computational, statistical and complexity sciences as well as the complexities of medicine and health literature.

Basically, the point is that national modelling of COVID-19 (whatever the country) needs to rely in very significant ways on modelling at the local level. And by local we mean all the way down in granularity from the regional and county level to the city and community. In short, we need a complexities of place approach.

This need for local and regional models (inerdependent with each other and the national) is in addition to the need for a dashboard of multiple models -- which was a major point of my previous four posts in this series.

The value a local approach (when combined with the national) is significant.
Here are some highlights:


First, as shown in Figure 1, it allows us to monitor how a public health problem like COVID-19 evolves at different levels of scale. National trends may not reflect local trends; and basing local decisions only on national trends (and without including the local) can be misleading and detrimental, particularly in terms of how resources are allocated or local public health and how public policy decisions are made.


FIGURE 1: Chart for all major regions in England

Second, it allows us to model and monitor how such public health issues evolve along multiple and different pathways. For example, as shown in Figure 2, while a virus like COVID-19 might spread quickly and widely in one region or city resulting in a major spike or wave, in other areas is may evolve slowly or never peak at all.

FIGURE 2: Comparison of different authority districts in the North East of England

Third, as shown in Figure 3 below, it allows modelling to be case-based and cross-comparative, so that stakeholders can explore similarities and differences in major and minor trends within a country, and at different levels of scale. Such comparisons can also be extended across countries -- but only if context is taken into acount, which goes to the next point.

FIGURE 3: Map showing COVID-19 cumulative cases by major authority districts in England

Fourth, it honours and is grounded in the massive impact that context has on how a public health issue like COVID-19 impacts a particular place.

Context can be thought of as not just social, economic, political and cultural but also ecological and environmental; and impact here can be thought of in several ways (this is not an exhaustive list):
  • how the environment-ecology of an area facilitates or hinders the spread of a disease (rural, urban, suburban, etc).
  • how various social determinants influence a disease's impact, including inequality, population density, access to public health resources, racism and discrimination and also social deprivation -- as modelled, for example, by various multiple deprivation indices (Figure 4 below).
  • the capacity for a particular place to respond to a public health crisis, as in the case of access to the resources needed for dealing with COVID-19, from critical supplies needed for hospitals and care homes to plans for social distancing and businesses reopening to managing the mental health aspects of sheltering people in place.
FIGURE4: Example of the English Index of Multiple Deprivation

Fifth, to reiterate the point, it acknowledges that we need a dashboard of multiple models. Not only do we need regional models, but even then we need more than one. Agent-based models, deterministic models, machine learning models, statistical m


odels, and historical models that help to widen our understanding of the lived experiences and historical nature of the public health issue being examined.

Sixth, it is entirely grounded in the reality that local areas are interdependent, interconnected and interactive. Local modelling is not a pretext for another form of isolated thinking, where the only concern is the immediate community. Instead, the focus is to think global but model local. All local models need to recognise a region's interdependence with other nearby and distant regions as well as the national and international. The global spread of COVID-19 has basically shouted this point!

Seventh, it allows for a more complex systems approach to public policy. Such an approach includes developing policies that are sensitive to context and to multiple path dependencies and outcomes, which are taking place at different levels of scale. It also includes policies that recognise that any public health intervention, no matter how simple, takes place in a wider ranges of interdependent complex systems, resulting in knock-on effects and so forth. For more on the policy aspect, see the work my colleagues at CECAN (Centre for the Study of Complexity Across the Nexus) to develop the 2020 Magenta Book supplementary guide, Handling Complexity in Policy Evaluation.

Eighth, such regionally grounded, locally focused, and nationally and internationally connected policy-based modelling needs to be co-produced with key public and private stakeholders!

Co-production leads to better modelling for several reasons. First, the models can be designed in direct response to the needs of a community or region. Second, they allow for more immediate feedback and learning. And, third, what is modelled – as in the case of the agent-based model we have created – can be adapted as new or different insights are needed. For example, in March and April the main question of concern in the UK was if, when and where the peak would be achieved. Now, as many countries are easing social distancing, the concern is how various exit strategies (or going back into shelter-in-place) will impact the spread of the virus? For us, the obvious answer is that it will depend entirely upon context -- and also the interdependence of one context with another! Communities therefore need regional models, alongside the capacity to adapt national policies into local strategies, so they can make more contextually sensitive decisions that reduce rather than produce increased health harms and inequalities.


Conclusions

These, then, are my general recommendations -- and ones my colleagues in the COVID-19 Community Health and Social Care Modelling Team would agree with. Again, we do not pretend to have the only or best answer to the current situation; and, despite the need for regional modelling, we still support the importance of national level modelling and a national strategy. But, to reiterate our point, if we are to take the next step in this worldwide modelling challenge, we need a more diverse set of models that are more sensitive to and emerge out of not just the national, but also the local and the complexities of its socio-ecological context. Looking to the near future, such a modelling-public-policy dashboard is most likely to become even more important, as COVID-19 is probably the first in a series of global social and health problems we are about to face.

 

About the Durham COVID-19 Modelling team

The COVID-19 Community Health and Social Care Modelling Team is under the guidance of our respective Executive Deans, Jacqui Ramagge (Science) and Charlotte Clarke (Social Sciences and Health) as part of the contribution of the Wolfson Research Institute for Health and Wellbeing and the Institute of Data Sciences to the University’s Health@Durham strategy, as well as supported by the Research and Innovation Services, Marketing and Communications and CECAN (Centre for the study of Complexity Across the Nexus). The team is led by Dr Camila Caiado and Professor Brian Castellani, with the purpose of creating a series of tools and dashboards that Trusts and Councils can use to help support decision and planning accordingly. We would also like to acknowledge the outstanding contribution of Dr Jennifer Badham, Dr Peter Barbrook-Johnson, Professor Amanda Ellison, Dr Andrew Iskauskas, Dr Rachel Oughton, Dr Corey Schimpf and Dr Bernard Piette.















31/03/2020

Part 4 -- Social Networks and the Coronavirus: The Importance of Complexity Science for Public Health


BLOG POST 4 of N

This post is the 4th of several devoted to addressing the complex challenges of modelling the coronavirus as a public health issue. It is also about clarifying for a wider audience how and why such modelling is important, as well as the value and power of complex systems thinking and computational modelling for public health policy.

QUICK SUMMARY
The focus of the first post was to explain how models influence public health policy and why some models are better at modelling COVID-19 than others, given the challenge of complexity. The post ended asking the question: So, what does an effective model look like? (CLICK HERE for the first post) In response I said I would review two of the models getting the most attention. Before turning to these models, however, the second post reviewed, from a complex systems perspective, what a public health model of infectious disease looks like in   the first place. (CLICK HERE for the second post) The 3rd post reviewed the first of our two models: the simulation model by Ferguson and colleagues at Imperial College London (CLICK HERE for the third post).

The current post will review the utility of complex network modelling for infectious diseases and, more specifically, the model by Vespignani and colleagues at Northeastern University in the States.

The failure to embrace public health
In most western countries -- particularly those located in the global north -- the narrative of modern medicine is rather consistent: our medical problems are our own, each of us, including their cause and cure. If someone is depressed, we see it's a psychological problem; if someone is overweight, it is a personal eating issue; and if someone regularly catches the flu it as a problem with their immune system.
  
Public health experts, epidemiologists, health sociologists, medical anthropologists and social workers have rather consistently challenged this idea, arguing instead that, contrary to the picture painted by western medicine, our health is not anywhere near as personal and private as we tend to think it.

And the argument has been reasonably convincing. Nuances aside, the intertwined histories of population and public health throughout the world are ultimately a story of significant accomplishment. As proof, a short list is sufficient: clean drinking water, sanitation, food safety, air quality, vaccines and preventable diseases, tobacco control, family planning and so forth. And these accomplishments have extended themselves well into the globalized era in which we presently live through the monumental efforts of such globally- focused organisations as the World Health Organization.

Still, despite these accomplishments and tremendous successes, population and public health in the 21st century faces a crisis of understanding. And the major culprits, it appears (in addition to more localized factors) are the same economic, political, cultural, and technological forces of globalization that have, in many ways, purportedly made the world a better place. In short, we've enjoyed the benefits of public health without embracing its most important point: 
The message is this: the causes and cures of our health are largely a public matter, and in complex and nuanced ways that we regularly (and perhaps purposely) fail to understand. Equally important -- from the negative impact poverty has on wellbeing to ensuring citizens equitable access to healthcare -- these causes and cures are primarily social determinants and social solutions.

The hidden influence of social networks

Perhaps one of the most important studies to demonstrate to western medicine the importance  of public health was the game-changing 2007 study by Christakis and Fowler -- The Spread of Obesity in a Large Social Network Over 32 Years published in the New England Journal of Medicine. The network scientist, Albert-László Barabási, who wrote  a  commentary when the study was published, in which he clarifies why this study was so important. He states:

A recent study reported that among people who carried a single copy of the high- risk allele for the FTO gene, which is associated with fat mass and obesity, the   risk of obesity increased by 30%. The risk of obesity increased by 67% among people who carried two alleles, and on average they gained 3.0 kg (6.6 lb) or more.1 Given that approximately one sixth of the population of European descent is homozygous for this allele, this link between the FTO gene and obesity appears to be one of the strongest genotype–phenotype associations detected by modern genome-screening techniques” (p. 404).

But here is Barabási’s key point:
That obesity has a genetic component is not surprising: researchers have long known that it often runs in families. In this issue of the Journal, Christakis and Fowler suggest that friends have an even more important effect on a person’s risk of obesity than genes do.

In short, when it comes to health issues such as obesity, our social networks are a more important cause and cure. Our health is impacted significantly by the networks with which we interact, which include not only families, friends and partners, but also co-workers, acquaintances and the networks of people we randomly interact with in public. Even more difficult to grasp -- and this is one of the most important insights that Christakis and Fowler showed -- is that our health is also significantly impacted by the networks with which our networks interact and so on and so forth. And, it is this important insight regarding the role that social networks play in our health that makes the study of social networks is so powerful. Barabási explains it like this:
The authors reconstructed a social network showing the ties between friends, neighbors, spouses, and family members among participants of the Framingham Heart Study, making use of the fact that the participants had been asked to name their friends to facilitate follow-up in the study. The authors observed that when two persons perceived each other as friends, if one friend became obese during a given time interval, the other friend’s chances of following suit increased by   171%. Among pairs of adult siblings, if one sibling became obese, the chance that the other would become obese increased by 40%. The results of this study also indicate that obesity is clustered in communities. For example, the risk that the friend of a friend of an obese person would be obese was about 20% higher in the observed network than in a random network; this effect vanished only by the  fourth degree of separation.
In other words, as Christakis and Fowler suggest, the impact that others have on our health is not just an issue of 'birds of a feather flocking together'. Instead, it appears that health is a social contagion. It spreads across our social networks. The health of our social networks impacts and is deeply intertwined with our individual health. And we, in turn, influence the health of the networks of which we are a part.
 


For more on this study and its social network, watch this video. And for more on the role networks play in health, watch this Ted Talk by Christakis.



How social networks impact COVID-19
While such an insight by Christakis and Fowler was a game-changer, the next challenge -- which network scientists working in fields such as public health and infectious disease modelling have spent the last decade or more trying to understand -- is how exactly how these social networks impact health, as well as what a health versus unhealthy social network looks like. Case in point is COVID-19 and the complex network model by Vespignani and colleagues at Northeastern University in the States. Before we proceed to that study, a few key network terms need to be defined.

NETWORK TERMINOLOGY
The study of social networks goes back to the 1930s/1940s and became widely popular in sociology in the 1970s – see, for example, Linton Freeman’s (2004) history of the field as well as such pioneering social scientists as Helen Hall Jennings, Jacob Moreno, and Harrison White (to name a few). However, it was only in the aftermath of the development of complex network analysis that these ideas suddenly became ‘complexity science’. Examples include Duncan Watts and Steven Strogatz's famous small world study, or what has become popularly known as six degrees of separation.

As with our review of microsimulation and modelling in general in my previous posts, we cannot get into the details of social networks sufficiently in a post. We can, however, review some key concepts and, for those interested, a few online sources for learning more, sufficient to understand what network scientists are trying to understand about the role social networks play in the spread of the coronavirus.

KEY TERMS
Here is a quick list of key terms – which can be found in (Newman, 2003) – that network
scholars use:
  • Vertex or a node: A fundamental unit of a network represented usually by a dot. 
  • Edge or a link: A line connecting vertices. 
  • Directed or undirected edges: An edge is directed is if it runs only in one direction (such as in a one-way road between two points), and undirected if it runs in both directions (Newman 2003, p. 173). A network in which all edges are directed is referred to as a directed network or graph. 
  • Neighborhood of a node i in a graph is simply defined as the set of all nodes that the node i is connected to. The usual convention is to assume that i is not connected to itself i.e., avoid loops. 
  • Degree: The number of connections (edges) a vertex has. For a directed network, one wants to know the direction of those connections. Those connections going out are called ’out-degree,’ and those coming in are called ’in-degree.’ 
  • Component: The component to which a vertex belongs is the set of all vertices that can be reached from that vertex using existing edges in the network. ’For a directed graph, there is an in-component and an out-component, which are the sets of vertices from which the vertex can be reached and which can be reached from it,’ respectively (Newman 2003, p. 173). 
  • Geodesic path: The geodesic path refers to shortest route in the network from one vertex to another. 
  • Diameter: ’is the length of the longest geodesic path in a network’ (Newman 2003, p. 173).

USEFUL REFERENCES
Of the numerous writings on networks currently available – for example, (Albert and Barabasi, 2002, Barabasi, 2003) – two authors stand head and shoulders above the rest (at least for us), mainly for the quality of their critical insights into network analysis, which is important, as well as the clarity and accessibility of their writing. Those two authors are Mark Newman and John Scott. Newman is highly useful because he is trained as a physicist and is one of the top scholars in the field of complex networks; in turn, Scott is a sociologist and one of the leading scholars in social networks. One of the best online books is Introduction to Social Network Methods by Robert A. Hanneman and Mark Riddle.

The effect of travel restrictions on the spread of the 2019 novel coronavirus (COVID-19) outbreak

Now that we have a basic sense of some of the key concepts of network science, we can turn to the Network study on travel restrictions by Alessandro Vespignani and international colleagues through the Network Science Institute at Northeastern University. (As with my review of the Imperial model in Blog Post 3, I will quote from their work and then, in green font, make some comments for clarification)

THEY STATE: Motivated by the rapid spread of COVID-19 in Mainland China, we use a global metapopulation disease transmission model to project the impact of travel limitations on the national and international spread of the epidemic. The model is calibrated based on internationally reported cases and shows that at the start of the travel ban from Wuhan on 23 January 2020, most Chinese cities had already received many infected travelers.”

SOME SPECIFICS ABOUT THEIR MODEL
THEY STATE: To model the international spread of the COVID-19 out-break we use the Global Epidemic and Mobility Model (GLEAM), an individual-based, stochastic, and spatial epidemic model.

Castellani comment: As you may recall from Post 3, I explained what stochastic models are. Here they are using a similar approach, as its value is it allows for real-world randomness and messiness to enter the modelling process.  Also, similar to the Imperial model, it is individual-based and spatial.

THEY STATE: GLEAM uses a metapopulation network approach integrated with real-world data where the world is divided into sub-populations centered around major transportation hubs (usually airports). The subpopulations are connected by the flux of individuals traveling daily among them. The model includes over 3,200 sub-populations in roughly 200 different countries and territories. The airline transportation data consider daily origin-destination traffic flows from the Official Aviation Guide (OAG) and IATA databases (updated in 2019), while ground mobility flows are de-rived by the analysis and modeling of data collected from the statistics offices for 30 countries on 5 continents. Mobility variations in Mainland China were derived from Baidu Location-Based Services (LBS).

Castellani comment: Here is where the network model is different from the Imperial model. In the network model, network data is used, specifically transportation data. These data are key because then the progression of COVID-19 could be modelled along these networks. 
http://www.netlogoweb.org/launch#http://www.netlogoweb.org/assets/modelslib/IABM%20Textbook/chapter%206/Spread%20of%20Disease.nlogo 
http://www.netlogoweb.org/launch#http://www.netlogoweb.org/assets/modelslib/IABM%20Textbook/chapter%206/Spread%20of%20Disease.nlogoIf you click on the image to the right -->, it will allow you to run an infectious disease model on a social network. To run the model hit SETUP and then GO.

THEY STATE: Within each sub-population, the human-to-human transmission of COVID-19 is modeled using a compartmental representation of the disease where individuals can occupy one of the following states: Susceptible (S), Latent (L), Infectious (I) and Removed (R). Susceptible individuals can acquire the virus through contacts with individuals in the infectious compartment, and become latent, meaning they are infected but cannot transmit the infection yet.

Castellani comment: Similar to the Imperial model, which I dicussed in Post 3, this network model follows the basic SEIR model (susceptible, exposed, infected and recovered).

So, what did they learn?
THEY STATE: The analysis of the COVID-19 outbreak and the modeling assessment of the effects of travel limitations could be instrumental to national and international agencies for public health response planning. We show that by 23 January 2020, the epidemic had already spread to other cities within Main-land China. The travel quarantine around Wuhan has only modestly delayed the epidemic spread to other areas of Main-land China. This is in agreement with separate studies on the diffusion of the SARS-CoV-2 virus in Mainland China.

THEY STATE: The model indicates that while the Wuhan travel ban was initially effective at reducing international case importations, the number of cases observed outside Mainland China will resume its growth after 2-3 weeks from cases that originated elsewhere.

THEY STATE: Furthermore, the modeling study shows that additional travel limitations up to 90% of the traffic have a modest effect unless paired with public health interventions and behavioral changes that achieve a considerable reduction in the disease transmissibility.

Castellani comment: While some of their predictions require update (as new data has become available, which is why testing and information is so important!) their general insight has proven useful, as it has been corroborated by other models and the data -- namely, social distancing, testing, and governmentally led public health interventions to mitigate and suppress the spread of COVID-19.

THEY STATE: The model also indicates that even in the presence of the strong travel restrictions in place to and from Mainland China since 23 January 2020, a large number of individuals exposed to the SARS-CoV-2 have been traveling internationally without being detected. Moving forward we expect that travel restrictions to COVID-19 affected areas will have modest effects, and that transmission-reduction interventions will provide the greatest benefit to mitigate the epidemic.

Summary
As this study has hopefully demonstrated, network model are a useful addition to the other approaches being employed to understand the coronavirus. Network models are primarily valuable because they allow us to see the specific routes by which disease travels through a population or, more specifically, a community. In the case of the current study, they could follow the disease along major transportation routes.