Economic Impact Framework

MHASpread integrates epidemiological simulation with economic modeling to assess the cost-effectiveness of disease control strategies.


Overview

While MHASpread provides detailed epidemiological outputs (infected farms, animals affected, outbreak duration), downstream economic models incorporate these results to evaluate:

  • Direct costs: Depopulation, vaccination, diagnosis
  • Indirect costs: Market disruption, trade restrictions, lost productivity
  • Benefits: Disease avoidance, prevented spread
  • Cost-effectiveness: Cost per farm or animal protected

Epidemiological Outputs from MHASpread

MHASpread simulations generate outputs that feed into economic models:

Farm-Level Outcomes

  • Farms depopulated: Number culled as disease control
  • Farms vaccinated: Number receiving emergency ring vaccination
  • Farms infected: Total farms affected by disease
  • Escape farms: Uninfected farms outside control zones

Animal-Level Outcomes

By species and compartment:

  • Total animals infected: Sum of $I$ compartment across all farms
  • Animals recovered: Naturally immune survivors
  • Animals vaccinated: Cattle receiving emergency vaccine
  • Animals depopulated: Culled animals (by species)

Temporal Outcomes

  • Outbreak duration: Days from index case to elimination
  • Silent spread duration: Undetected pre-control phase
  • Active control duration: Days with ongoing interventions
  • Peak prevalence: Maximum infected animals/farms simultaneously

Network Outcomes

  • Movement events blocked: Standstill-prevented trade
  • Traceback links traced: Farms identified via contact tracing
  • Spatial extent: Maximum distance from index farm of last case

Cost Components

Direct Costs

Depopulation Costs

\[\text{Cost}_{\text{depop}} = \sum_{\text{depopulated farms}} (\text{animal count} \times \text{value per animal}) + \text{labor} + \text{disposal}\]
  • Unit costs vary by species (cattle >swine > sheep)
  • Example values: Cattle €500/animal, Swine €150/animal, Sheep €50/animal
  • Labor/disposal: Often €1000–5000 per farm
  • Total: Typically 40–60% of outbreak economic cost

Vaccination Costs

\[\text{Cost}_{\text{vax}} = \text{farms vaccinated} \times (\text{vaccine} + \text{personnel} + \text{logistics})\]
  • Vaccine cost: €1–2 per dose
  • Personnel: Veterinarians, laborers (€10–30/hour, ~2 hours per farm)
  • Logistics: Transport, equipment, cold storage (~€500–1000 per farm)
  • Total per farm vaccinated: €2000–5000

Surveillance & Diagnosis

\[\text{Cost}_{\text{surv}} = \text{inspections} \times \text{cost per farm} + \text{diagnostic tests} \times \text{cost per test}\]
  • Farm inspection: €50–200 per farm visit
  • Diagnostic test (serology, RT-PCR): €20–100 per test
  • Typically 5–15% of total cost

Movement Standstill (Lost Trade)

\[\text{Cost}_{\text{standstill}} = \text{affected farms} \times \text{lost revenue per day} \times 30 \text{ days}\]
  • Lost revenue: Variable (dairy income, market premium loss, feed cost)
  • Estimation: Average farm revenue / 365 days × number restricted farms × 30
  • Can be substantial (€500–2000 per farm)

Indirect Costs

Market Disruption

  • Export bans: Trade restrictions limiting market access
  • Consumer confidence loss: Demand reduction post-outbreak
  • Restocking delays: Time and cost to rebuild herds

Productivity Loss

  • Production interruption: Farms under control have limited output
  • Herd reconstruction: Time and cost to rebuild breeding stock
  • Genetic loss: Valuable breeding lines culled

Cost-Effectiveness Metrics

Cost Per Farm Protected

\[\text{CER}_{\text{farm}} = \frac{\text{Total Control Cost}}{\text{Farms Prevented from Infection}}\]

Example: Control cost €500,000; 50 farms prevented infection = €10,000 per farm protected

Cost Per Animal Saved

\[\text{CER}_{\text{animal}} = \frac{\text{Total Control Cost}}{\text{Animals Saved from Infection}}\]

Example: Control cost €500,000; 10,000 animals saved = €50 per animal

Outbreak Cost Without Control (Counterfactual)

Estimate total cost if disease spread uncontrolled:

\[\text{Uncontrolled Cost} = \text{Infected farms} \times \text{avg farm value loss}\]

Typical range: €100,000–5 million depending on region

Net Benefit

\[\text{Net Benefit} = \text{Uncontrolled Cost} - \text{Control Cost}\]

Interpretation:

  • Positive: Control is cost-effective (savings exceed cost)
  • Negative: Control costs exceed prevented damage (rare for FMD)

Scenario Comparison Framework

Comparison of Multiple Control Strategies

Simultaneously simulate several scenarios:

Scenario Depop Capacity Vax Capacity Vax Delay Control Cost Farms Protected CER
Conservative 1 farm/day 2 farms/day 20 days €300k 40 €7,500
Moderate 3 farms/day 5 farms/day 15 days €450k 52 €8,650
Aggressive 5 farms/day 10 farms/day 10 days €650k 58 €11,200
No control 0 0 €0 0 N/A

Insight: Moderate scenario often optimal (diminishing returns at aggressive levels).


Integration with MHASpread Outputs

Workflow

  1. Run MHASpread for each scenario → generates epidemiological outputs
  2. Export results: Farms infected, animals in each compartment, duration
  3. Assign unit costs to animal/farm outcomes
  4. Calculate total cost per scenario
  5. Compare across scenarios using cost-effectiveness metrics
  6. Sensitivity analysis: Vary cost assumptions, repeat

R-Based Integration

# After running MHASpread simulation
outbreak_results <- run_mhaspread(population, events, scenario_params)

# Extract economic inputs
depop_farms <- sum(outbreak_results$depopulation_events$count > 0)
vax_farms <- sum(outbreak_results$vaccination_events$count > 0)
infected_farm_total <- nrow(unique(outbreak_results$infected_farm_timeseries))

# Assign unit costs (€)
cost_depop <- depop_farms * 1500  # €1500 per farm depopulated
cost_vax <- vax_farms * 3000      # €3000 per farm vaccinated
cost_surveillance <- infected_farm_total * 200  # €200 per farm inspected

# Total control cost
control_cost <- cost_depop + cost_vax + cost_surveillance

# Farms protected (prevented infection)
farms_protected <- total_farms_region - infected_farm_total

# Cost-effectiveness ratio
cer <- control_cost / farms_protected

Uncertainty & Sensitivity Analysis

Parameter Sensitivity

Repeat cost-effectiveness analysis with varying cost assumptions:

Cost Component Low Base High Impact
Depopulation per farm €1000 €1500 €2500 ±40% CER change
Vaccination per farm €2000 €3000 €5000 ±30% CER change
Surveillance per farm €100 €200 €400 ±10% CER change

Output: Confidence intervals on cost-effectiveness estimates

Probabilistic Analysis

Rather than point estimates, incorporate distributions:

  • Depopulation costs: Lognormal(μ=€1500, σ=€300)
  • Vaccination costs: Uniform(€2000, €5000)
  • Outcome uncertainty: From 100+ MHASpread replicates

Result: Posterior distribution of cost-effectiveness across scenarios


Comparative Examples

Case Study: Brazil FMD Preparedness

Region: Rio Grande do Sul (~80 cattle farms, 20 swine, 15 sheep farms)
Outbreak Scenario: Single farm infection
Uncontrolled cost: €2.5 million (estimated from cascading losses)

Strategy Control Cost Farms Protected CER
Reactive (slow depop) €600k 60 €10k per farm
Proactive (fast depop + vax) €850k 95 €9k per farm
Cost-effective threshold - - €15k/farm

Interpretation: Proactive strategy justified (below threshold).

Case Study: Bolivia FMD Surveillance

Region: Mixed cattle/llama system (resource-limited)
Outbreak Scenario: Two simultaneous index farms

Strategy Depop Capacity Vax Efficacy Net Benefit Recommended?
Minimal intervention 0.5 farms/day None -€1.2M No
Realistic capacity 2 farms/day 85% +€800k Yes
Ideal (if funded) 5 farms/day 95% +€1.5M Yes but expensive

Policy Implications

Break-Even Analysis

What control capacity is needed to justify costs?

Question: At what depopulation capacity does outbreak control become cost-effective?

\[\text{Depopulation capacity} \geq \frac{\text{Uncontrolled Cost}}{\text{Cost per farm depopulated}}\]

Example: If uncontrolled cost €2M and depopulation costs €1500/farm:

\[\text{Required capacity} \geq 1,333 \text{ farms} = \text{Probably achievable}\]

Preparedness Investment

Should a country invest in surge capacity (vans, vaccine stocks, trained personnel)?

Cost-benefit: Compare investment cost vs. expected savings across multiple outbreak scenarios.


Limitations

  1. Exclusion of trade bans: Model not designed to handle multi-country trade restrictions
  2. Longer-term impacts: Only covers acute outbreak period (~year 1)
  3. Indirect costs underestimated: Market disruption, consumer confidence not fully modeled
  4. Regional heterogeneity: Cost assumptions may vary by farm type, location
  5. Uncertainty propagation: Stochastic model uncertainty + cost uncertainty compounded

References & Further Reading

Key references for cost-effectiveness analysis integration:


Next Steps