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www.epixanalytics.com
Risk, epidemiology, and modeling for strategic disease control
Francisco Zagmutt, DVM, MPVM, PhD
August 26, 2019
Hanoi, Vietnam
© EpiX Analytics LLC
Outbreak decision makingStages Support tools
Identify (short term)Key drivers of outbreak spread
Risk factor analysis, risk analysis, epidemiology, spatial analysis, network modeling, etc
Control (short to mid-term)How to limit spread
Risk analysis, epi modeling, cost-benefit, optimization
Plan (mid to long-term)How to manage/eradicate
Compartmentalization, zoning, risk analysis, decision analysis, risk management, public-private partnerships, certification
We’ll discuss key analytical support tools and relationship to ASF control in Vietnam
© EpiX Analytics LLC
What is risk analysis?
Risk is usually defined as a triplet:1. What can go wrong (event)?
2. How likely is it (probability)?
3. How big is the impact?
Provides informative assessment of probability -> more informative than simply “possible” events/impacts
Opportunities (risks that we would like to happen) or benefits can also be quantified
Quantitatively balancing risk and benefits requires a common “currency”
From: http://goo.gl/0COq7T
© EpiX Analytics LLC
The risk analysis process (e.g. OIE)
Modified from: Copyright © 2013 by Sidney Harris.
Hazard identification
Risk assessment
Risk management
Risk communication
Also useful to quantify benefits
Or to assess the tradeoffs between risks and benefits
© EpiX Analytics LLC
Risk and trade
Uruguay Round resulted in WTO -> SPS Agreement: Goal: To avoid use of sanitary & phytosanitary measure as unjustified (“technical”) barriers to trade, while
recognizing the right of countries to protect human, animal and plant life and health
WTO international
standards
IPPC
(plant health)
CODEX
(food safety)
OIE
(animal health/zoonosis)
© EpiX Analytics LLC
“Traditional” OIE risk assessmentOIE International Animal Health Code and International Aquatic Animal Health Code
Principles from Covello-Merkhofer system: Covello, V.T. and Merkhofer M.W. (1993). Risk assessment methods: Approaches for assessing health and environmental risks. Plenum Publishing, New York.
Entry (release) assessment
Exposure assessment Consequence assessment
Risk estimation
© EpiX Analytics LLC
Qualitative Semi-quantitative
▪ Option when little data & time are available
▪ Translation of qualitative estimates (Probabilities and Impacts) to “scores”
▪ Easy to understand, appear more objective than qualitative approach
▪ But, statistically inconsistent and open to abuse
▪ Risk categories and combination matrices
▪ Structured approach to manage limited information, often in a short time
▪ But, many issues:o Can’t combine effect of uncertainty and variability
o No consensus on approach
o support discussion of EES estimates, OR
o combined using matrices
o Can’t combine with reasonable transparency and consistency
o Scaling statistically incorrect0.1-1 1 6 5 4 3 2
0.01-0.1 2 7 6 5 4 3
Probability 0.001-0.01 3 8 7 6 5 4
0.0001-0.001 4 9 8 7 6 5
0.00001-0.0001 5 10 9 8 7 6
Score 5 4 3 2 1
V.Low Low Medium High V. High
ImpactFig source: Peeler, E. J., et. al (2015), Animal Disease Import Risk Analysis – a Review of Current Methods and Practice. Transbound Emerg Dis, 62: 480-490.
© EpiX Analytics LLC
Quantitative risk analysis (QRA)
▪ Quantify probability of adverse effect(s) and magnitude(s)
▪ Use probability theory, usually modeled with simulation
▪ Requires data
▪ Provides most objective assessment given sufficient data and meaningful approach
▪ No two models the same, sometimes requires entirely different approach
Ni
Number of infected
animals in exporting
country
A=Ni/Nt Probability individual animal has
disease
Nt
Total number of
animals in exporting
country
B
Probability that an animal will pass
inspection in exporting country given it
is infected
Expert opinions C
Probability that an animal will pass
inspection in importing country given it
is infected and has passed previous
inspection
n
Estimate of number of
animals that will be
imported from this
source
P=A*B*C Probability that an imported animal is
infected
N=Binomial(n,P)
Estimate of the number
of infected animals that
will be importedR1=1-(1-P)
n Probability that any infected animals will
enter the country
Expert opinions D
Probability that an animal will infect the
native livestock given that it is infected
and has passed inspections
R2=1-(1-D*P)n Total probability that disease will infect
native livestock from this route
© EpiX Analytics LLC
Cobb SP, Pharo H, Stone M, Groenendaal H, Zagmutt F.J. (2015) Quantitative risk assessment of the likelihood of introducing porcine reproductive and respiratory syndrome virus into New Zealand through the importation of pig meat. Rev. Sci. Tech. 2015 Dec. 34(3):961-75
Prob > 0 outbreaks/yr Years to observe outbreak
0.3898% (0.0153% - 1.9075%) 1,226 (52 - 6,200)
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ModelAssist – EpiX Analytics’ free risk analysis reference and training tool
https://modelassist.epixanalytics.com/
© EpiX Analytics LLC
Also many non-trade applications Farm-level risk assessment – e.g. bTB, paraTB, BSE
Farm/zone re-introduction risks
Risk-based surveillance
Re-importation (even during control phase)
Sanitary certification/zoning/compartments – e.g. ASF eradication Spain
Value of Information (VOII) - $ of additional data collection
© EpiX Analytics LLC
Risk factor analysis NOT the same as risk analysis
Risk factor analysis – use historical data and statistical models (usually regression-based) to infer main disease drivers, e.g.
Are foot mats more effective than movement restrictions?
Is disease spread influenced by herd size?
Can environmental factors and seasonality affect disease?
Risk analysis/assessment – predict impact of (future) intervention: historical data (such as risk factor analysis) + structural changes in system. e.g.
Can I eradicate the disease if switch disinfecting protocol and increase herd size?
What’s the optimal combination of biosecurity measures?
Yearly probability of a reintroduction from neighboring country?
© EpiX Analytics LLC
Risk factors for HPAI in farms from the Mekong Delta
Case-control study, 2006-2007
Significant risk drivers: none or only one vaccination,
visitors to farms,
presence of geese on farms
sharing of scavenging areas
with ducks from other farms
© EpiX Analytics LLC
Disease spread (aka ‘epidemic’) modeling
(Better) understand: patterns of disease/infection, transmission drivers, value of additional data collection
Examine scenarios Experiments not feasible/too expensive in “real world” Test epi hypothesis
Predict: introduction / spread, persistence or eradication, scale of outbreaks, efficacy of control options e.g.
Vaccinate or cull Feasibility of disease compartment (e.g. Hagenaars TJ, Boender GJ,
Bergevoet RHM, van Roermund HJW (2018) Risk of poultry compartments for transmission of Highly Pathogenic Avian Influenza. PLoS ONE 13(11): e0207076)
© EpiX Analytics LLC
State transition models
time
Nu
mb
er o
f in
div
idu
als
𝑑𝑆
𝑑𝑡= −𝛽𝑆𝐼
𝑑𝐼
𝑑𝑡= 𝛽𝑆𝐼 − 𝛾𝐼
𝑑𝑅
𝑑𝑡= 𝛾𝐼
S = #SusceptiblesI = #InfectedR = #Recovered
𝛽 = Transmission Coefficient𝛾 = Recovery Coefficient1/𝛽 =Average Latency1/𝛾 = Average Infectious Time
Susceptible (S) Infectious (I) Removed (R)
Probabilistic (Stochastic) results
Source: Espejo L.A., Costard S, Zagmutt F.J.
(2015) Modelling canine leishmaniasis spread
to non-endemic areas of Europe. Epidemiology
and infection. 143(9):1936-49Deterministic results
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ASF spread modeling Madagascar Within-farm spread: Stochastic, individual-based, discrete time (1d), state transition model
Action by farmer when disease suspected:
At decision (detection and sale) time t,
removal of animals that farmers consider diseased
sale of others to traders
Susceptible(S)
Infected not infectious
(E)
Infectious No clinical signs
(L)
Infectious & Clinical signs
(I)
Dead or Recovered
(DR)
Removed (slaughtered)
Decision time & (1-specificity) Decision time & sensitivity
Pig
Clinical signs noticed and pig removed
Clinical signs not noticed and pig sold to traders
Se
1 -Se
Clinical signs perceived and pig removed
No clinical sign perceived and pig sold to traders
1 -Sp
Sp
© EpiX Analytics LLC
Example tools available Epidemix, a shiny app from the RVC:
https://royalveterinarycollege.shinyapps.io/epidemi
x/ and paper by Muellner et al (2018)
R package for epidemic modeling: EpiModel
NAADSM, already applied to Vietnam: Lee, HS, Thakur, KK, Bui, VN, Bui, AN, Dang, MV, Wieland, B. Simulation of control scenarios of porcine reproductive and respiratory syndrome in Nghe An Province in Vietnam. Transbound Emerg Dis. 2019; 00: 1–9. https://doi.org/10.1111/tbed.13278
© EpiX Analytics LLC
Keeping a disease-free subpopulation in affected country
Zoning and compartmentalization: “aim at establishing animal populations with a distinct health status based on effective separation of these populations and application of biosecurity measures to prevent the reintroduction of the infection”*
Development by OIE motivated by spread of H5N1 avian influenza in early 2000’s
Examples: ASF Zimbabwe, AI Thailand. AI Indonesia (zoning), several pig DZ Chile
*Zepeda C, Jones J.B., Zagmutt .FJ. (2008) Compartmentalisation in aquaculture production systems. Rev Sci Tech. 2008 Apr;27(1):229-41
Zoning Compartmentalization
Relies on geographical barriers Management/biosecurity in establishment(s)
Costs born by competent authority Born largely by producers
Surveillance key Surveillance, auditing and certification key
Industry structure can vary Usually vertical integration
© EpiX Analytics LLC
Risk Management
A broad set of tools to identify, analyze and reduce, monitor and/or manage certain risks
RM tools for ASF control/eradication might include:
Risk management tool Object/effect on disease
Increase hygiene Reduces the spread of disease and its losses
Disease surveillance Detects disease, and reduces probability of spread
Disease spread modeling Analyzing key factors that can help reduce the spread and losses due to the disease
Reimbursement of producers for affected animals
Reduces the spread of disease, and reduce financial losses to individual producers
Other public-private partnership options
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Certification and public-private partnership
Using latest disease/epidemiological knowledge and combination of best risk management tools/practices (hygiene, monitoring, etc.), minimum requirements can be defined for producers
Public sector:
- Regulatory environment and oversight- Technical expertise- Funding / loans
Private sector:
- Administering certification scheme- Offer insurance policies to reduce
producers’ financial losses
Objectives:- Improve public health - Access to international
trade:- Higher prices- Greater demand
- Increase producers’ income- Reduced financial risk to
producers
Public-private partnership >>
© EpiX Analytics LLC
Conclusions Numerous tools for disease control: suitability depends on outbreak phases
(Identification, Control, Planning)
Tools used must be pragmatic and consider available resources, data, and information
Risk assessment, epi and modeling key to strategic disease control, can leverage information from surveillance, risk factor studies, socioeconomic studies, diagnostics, etc.
Compartmentalization might be option to consider for ASF in Vietnam
Risk management beyond just technical tools, also certification and public-private partnership important to long term strategic goals
© EpiX Analytics LLC
Dr. Francisco J ZagmuttManaging Director
EpiX [email protected]
www.epixanalytics.com