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A practical introduction to modeling complex systems. A primer for thinking about the introduction and spread of infectious diseases along the farm-to-fork continuum. Amy L. Greer, BSc, MSc, PhD Tier 2 Canada Research Chair in Population Disease


  1. A practical introduction to modeling complex systems. A primer for thinking about the introduction and spread of infectious diseases along the farm-to-fork continuum. Amy L. Greer, BSc, MSc, PhD Tier 2 Canada Research Chair in Population Disease Modeling Department of Population Medicine, Ontario Veterinary College, University of Guelph agreer@uoguelph.ca

  2. Outline • Food-borne disease risk in Canada as a “One Health” case study. • Using statistical models to identify acute environmental effects. • Pre-harvest interventions to prevent and control the spread of food-borne pathogens in animal products and produce. • The challenging health economics of pre-harvest interventions. • Conclusions and ideas for moving forward.

  3. Thomas et al. 2013

  4. Thomas et al. 2013

  5. Improving food safety through a One Health approach Chofnes et al. 2012

  6. Improving food safety through a One Health approach Chofnes et al. 2012

  7. Pre-harvest interventions Post-harvest interventions www.cdc.gov

  8. Pre-harvest interventions Focus on environmental Post-harvest exposures interventions www.cdc.gov

  9. Seasonally oscillating environmental exposures Philadelphia,*PA,*USA* 40 ! 30 ! 20 ! 10 ! 0 ! 01/1994 ! 01/1996 ! 01/1998 ! 01/2000 ! 01/2002 ! 01/2004 ! 01/2006 ! 01/2008 ! Date ! TMAX (C) ! MAXCIE/10 ! Delaware River dissolved O2 (*2) ! Figure courtesy of Dr. David Fisman, DLSPH

  10. Seasonally oscillating environmental exposures Philadelphia,*PA,*USA* 40 ! 30 ! 20 ! 10 ! 0 ! 01/1994 ! 01/1996 ! 01/1998 ! 01/2000 ! 01/2002 ! 01/2004 ! 01/2006 ! 01/2008 ! Date ! TMAX (C) ! MAXCIE/10 ! Delaware River dissolved O2 (*2) ! Figure courtesy of Dr. David Fisman, DLSPH

  11. Seasonally oscillating environmental exposures Philadelphia,*PA,*USA* 40 ! 30 ! 20 ! 10 ! 0 ! 01/1994 ! 01/1996 ! 01/1998 ! 01/2000 ! 01/2002 ! 01/2004 ! 01/2006 ! 01/2008 ! Date ! TMAX (C) ! MAXCIE/10 ! Delaware River dissolved O2 (*2) ! Figure courtesy of Dr. David Fisman, DLSPH

  12. Seasonally oscillating environmental exposures Philadelphia,*PA,*USA* 40 ! 30 ! 20 ! 10 ! 0 ! 01/1994 ! 01/1996 ! 01/1998 ! 01/2000 ! 01/2002 ! 01/2004 ! 01/2006 ! 01/2008 ! Date ! TMAX (C) ! MAXCIE/10 ! Delaware River dissolved O2 (*2) ! Figure courtesy of Dr. David Fisman, DLSPH

  13. Seasonally oscillating environmental exposures Philadelphia,*PA,*USA* 40 ! 30 ! Need methods that account for predicted seasonal relationships 20 ! between environmental conditions and incidence of seasonal infectious diseases 10 ! 0 ! 01/1994 ! 01/1996 ! 01/1998 ! 01/2000 ! 01/2002 ! 01/2004 ! 01/2006 ! 01/2008 ! Date ! TMAX (C) ! MAXCIE/10 ! Delaware River dissolved O2 (*2) ! Figure courtesy of Dr. David Fisman, DLSPH

  14. A methodological caveat • Establishing causal links between environmental factors and disease occurrence is difficult when the disease is seasonal. • Relationships may be confounded with underlying factors. • Strong correlation is necessary but not necessarily sufficient. • Aggregation of exposures may lead to “ecological fallacy”

  15. Is it really the season? 10# R²#=#0.93894# 0# 0# 2# 4# 6# 8# 10# 12# Cases#per#week# Figure courtesy of L. Kinlin & A. White

  16. Is it really the season? 10# R²#=#0.93894# 0# 0# 2# 4# 6# 8# 10# 12# Cases#per#week# Figure courtesy of L. Kinlin & A. White

  17. Is it really the season? 10# R²#=#0.93894# 0# 0# 2# 4# 6# 8# 10# 12# Cases#per#week# Figure courtesy of L. Kinlin & A. White

  18. Is it really the season? 10# R²#=#0.93894# 0# 0# 2# 4# 6# 8# 10# 12# Cases#per#week# Figure courtesy of L. Kinlin & A. White

  19. Is it really the season? 10# R²#=#0.93894# 0# 0# 2# 4# 6# 8# 10# 12# Cases#per#week# Figure courtesy of L. Kinlin & A. White

  20. Environment and disease What environmental factors are associated with an increased occurrence of disease? Hypothesis Environmental factors that increase pathogen survival, persistence, or proliferation in the environment will be related temporally and spatially to human and/or animal outbreaks or case occurrence.

  21. Poisson regression Environmental Exposure Expected cases Poisson Regression Analysis Seasonal smoothers sin(2 π /52) cos(2 π /52) Figure courtesy of L. Kinlin & A. White

  22. Case-crossover analysis • Evaluate acute associations between environmental exposures and cases • 2:1 matched design • Random directionality of control selection case%onset % M Tu W Th F Sa Su M Tu W Th F Sa Su M Tu W Th F Sa Su control% hazard% control% period% period% period% Figure courtesy of L. Kinlin & A. White Fisman et al. 2005 Greer et al. 2009

  23. Figure courtesy of L. Kinlin & A. White

  24. Environmental forcing in dynamic models β I SI Recovered Susceptible Infected Eisenberg et al. 2013 Tuite et al. 2011 Tien and Earn, 2010

  25. Environmental forcing in dynamic models β I SI Recovered Susceptible Infected β W SW Water Eisenberg et al. 2013 Tuite et al. 2011 Tien and Earn, 2010

  26. Environmental forcing in dynamic models β I SI Recovered Susceptible Infected 1. Statistical models to look at β W SW relationships between pathogen and rainfall 2. Dynamic models “forced” by the rainfall time series Water Eisenberg et al. 2013 Tuite et al. 2011 Tien and Earn, 2010

  27. Environmental forcing in dynamic models β I SI Recovered Susceptible Infected 1. Statistical models to look at β W SW relationships between pathogen and rainfall 2. Dynamic models “forced” by the rainfall time series Water Rainfall Eisenberg et al. 2013 Tuite et al. 2011 Tien and Earn, 2010

  28. Environmental forcing in dynamic models β I SI Recovered Susceptible Infected 1. Statistical models to look at β W SW relationships between pathogen and rainfall 2. Dynamic models “forced” by the rainfall time series Water Rainfall e.g. Flooding leading to e.g. Low water levels raw sewage contamination leading to increased usage Eisenberg et al. 2013 of water sources of existing water sources. Tuite et al. 2011 Tien and Earn, 2010

  29. Using a “Cholera” model to think about leafy greens Uncolonized Colonized plants plants β W Water

  30. environmental conditions, plant spray vs. lifecycle flood irrigation Uncolonized Colonized plants plants β W temperature, UV, humidity etc. Water Rainfall

  31. environmental conditions, plant mechanism of lifecycle application Uncolonized Colonized plants plants β M temperature, UV, humidity etc. Manure

  32. Pre-harvest interventions for animal products 1. management practices to decrease animal exposure to pathogens in the farm environment 2. reducing contacts between different species 3. prevent contamination of feed and water sources 4. surveillance for “super- shedders” 5. vaccination

  33. Uncolonized Colonized β C I cattle (S) cattle (I) β E temperature, UV, humidity etc. Farm environment

  34. Super-shedding cattle (I S ) Uncolonized Colonized β C I cattle (S) cattle (I) β E temperature, UV, humidity etc. Farm environment

  35. Vaccinated cattle Super-shedding (V) cattle (I S ) surveillance Uncolonized Colonized β C I cattle (S) cattle (I) β E temperature, UV, prevent contamination humidity etc. of feed and water or Farm other environmental environment reservoirs

  36. Health economic challenges for One Health • Is the intervention good value for money? • Societal and governmental perspectives consider all direct and indirect costs regardless of to whom the costs are accrued. An example There are no direct economic implications for farmers with VTEC colonized cattle. Farmers pay out of pocket for vaccine (economic loss for farmers) Healthcare system benefits as a result of farmers out of pocket expenses with no benefit being seen by the farmers.

  37. Conclusions • Mathematical models provide us with a unique framework within which to examine the complex biological dynamics at the human-animal- environment interface. Colon et al. 2008

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