Submitted:
01 April 2026
Posted:
02 April 2026
You are already at the latest version
Abstract
Keywords:
1. Introduction
2. Methodology
2.1. Data Sources and Farm File Configuration
2.2. Baseline Model Configuration
2.3. Scenario Development for Hypotheses
2.4. Simulation Parameters and Execution
2.5. Outcome Measures
2.6. Statistical and Sensitivity Analysis
3. Results and Interpretation of Results
3.1. Total Infected Premises Outcomes Across Seed Sets and Scenarios
3.2. Epidemic Curve Dynamics Across Scenarios
3.3. Statistical Comparisons
3.4. Sensitivity Analysis
4. Discussion
5. Conclusions
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| FMD | Foot-and-mouth disease |
| ISP+ | InterSpread Plus |
| FMDV | Foot-and-mouth disease Virus |
| UK | United Kingdom |
| ADSM | Animal Disease Spread Model |
| WOAH | The World Organisation for Animal Health |
| OIE | Office International des Épizooties |
| NAADSM | North American Animal Disease Spread Model |
| FLAPS | Farm Location and Animal Population Simulator |
| NASS | National Agricultural Statistics Service |
| IQR | Interquartile Range |
| AADIS | Australian Animal Disease Spread |
| CEAH | Center for Epidemiology and Animal Health |
| SEGS | Social Ecological Gaming and Simulation |
| SFSNE | Secure Food Supply New England |
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| Movement Source Name | Movement Distance (km bins and probabilities) | Probability of Transmission | Movement Destination Name (with probabilities) | Data source |
|---|---|---|---|---|
| large_dairy_farm (dairy_l) | 0: 0, 500: 0.867, 1000: 0.067, 2000: 0.049, 4500: 0.017 | 0.0378 min, 0.9999 max; tabled over days | *dairy_l: 0.4035, dairy_s: 0.118, cattle_dealer: 0.5249, dairy_m: 0.0598 | [37] |
| medium_dairy_farm (dairy_m) | 0: 0, 500: 0.867, 1000: 0.067, 2000: 0.049, 4500: 0.017 | 0.1125 min, 0.8473 max; tabled over days | *dairy_l: 0.2584, dairy_s: 0.0413, cattle_dealer: 0.5022, dairy_m: 0.1981 | [37] |
| small_dairy_farm (dairy_s) | 0: 0, 500: 0.867, 1000: 0.067, 2000: 0.049, 4500: 0.017 | 0.0055 min, 0.9999 max; tabled over days | *dairy_l: 0.4035, dairy_s: 0.0118, cattle_dealer: 0.5249, dairy_m: 0.0598 | [37] |
| dairy_movement_to_infect_market | 0: 0, 500: 0.676, 1000: 0.15, 2000: 0.13, 4500: 0.044 | BetaPert (0.02-0.04-0.08) | *cattle_market: 1.0 | [37] |
| cattle_markets | 0: 0, 500: 0.726, 1000: 0.137, 2000: 0.109, 4500: 0.0264 | 0.0087 min, 0.9999 max; tabled over days | *dairy_l: 0.5580, dairy_s: 0.0555, cattle_dealer: 0.1508, dairy_m: 0.2357 | [37] |
| large_dairy_cattle_through_market | 0: 0, 500: 0.726, 1000: 0.137, 2000: 0.109, 4500: 0.0264 | BetaPert (0.02-0.04-0.08) | *cattle_market: 1.0 | [37] |
| cattle_movement_that_infects_cattle_slaughterhouses | 0: 0, 125: 0.7886, 250: 0.1064, 375: 0.0255, 500: 0.0618, 625: 0.0135, 750: 0.0035, 875: 0.0003, 1000: 0.0003, 2011+: 0.0001 | BetaPert (0.02-0.04-0.08) | small_cattle_slaughterhouses: 0.8, large_cattle_slaughterhouses: 0.2 | Expert opinion |
| cattle_dealer | 0: 0, 100: 0.83577, 200: 0.1129, 300: 0.02311, 400: 0.01195, 500: 0.01259, 600: 0.00299, 700: 0.00027, 800: 0.00037, 900+: 0.00005 | 0.4500 min, 0.999 max; tabled over days | dairy_l: 0.7706, dairy_s: 0.0401, dairy_m: 0.1893 | Expert opinion |
| indirect_movement_from_cattle_market_to_premise | 0: 0, 500: 0.726, 1000: 0.139, 2000: 0.109, 4500: 0.026 | BetaPert (0.02-0.04-0.08) | dairy_l: 0.4624, dairy_s: 0.0461, cattle_dealer: 0.2972, dairy_m: 0.1943 | Expert opinion |
| indirect_movement_from_cattle_slaughterhouses | 0: 0, 125: 0.7886, 250: 0.1064, 375: 0.0255, 500: 0.0618, 625: 0.0135, 750: 0.0035, 875: 0.0003, 1000: 0.0003, 2011+: 0.0001 | BetaPert (0.000125-0.00025-0.0005) | dairy_l: 0.2814, dairy_s: 0.0902, cattle_dealer: 0.5123, dairy_m: 0.1161 | Expert opinion |
| indirect_medium_risk_movement_North_East | 0: 0, 60: 0.9572, 80: 0.0231, 100: 0.0034, 200: 0.0093, 2000+: 0.007 | 0 min, 0.5 max; tabled over days | **varying probability distributions depending on source | [37] |
| indirect_medium_risk_movement_other_regions | 0: 0, 60: 0.9572, 80: 0.0231, 100: 0.0034, 200: 0.0093, 2000+: 0.007 | 0 min, 0.5 max; tabled over days | **varying probability distributions depending on source | [37] |
| indirect_low_risk_movement_North_East | 0: 0, 60: 0.9839, 80: 0.0115, 200: 0.0023, 2000+: 0.0023 | 0 min, 0.1 max; tabled over days | **varying probability distributions depending on source | [37] |
| indirect_low_risk_movement_other_regions | 0: 0, 60: 0.9839, 80: 0.0115, 200: 0.0023, 2000+: 0.0023 | 0 min, 0.1 max; tabled over days | **varying probability distributions depending on source | [37] |
| indirect_detected_dairy_premises | 0: 0, 40: 0.94, 80: 0.05, 160+: 0.01 | 0 min, 0.01 max; tabled over days | varying probability distributions depending on source | Expert opinion |
| milk_movement_from_large_dairy | 0: 0, 100: 0.5, 321: 0.35, 804: 0.1, 900+: 0.05 | 0 min, 0.1 max; tabled over days | **dairy_l: 0.05, LMP: 0.60, SMP: 0.25, PHP: 0.10 | [37] |
| milk_movement_from_medium_dairy | 0: 0, 100: 0.3, 321: 0.5, 804: 0.15, 900+: 0.05 | 0 min, 0.1 max; tabled over days |
**dairy_s: 0.10, LMP: 0.20, SMP: 0.40, PHP: 0.20 dairy_m: 0.10 |
[37] |
| milk_movement_from_small_dairy | 0: 0, 100: 0.3, 321: 0.5, 804: 0.15, 900+: 0.05 | 0 min, 0.1 max; tabled over days |
**dairy_s: 0.10, LMP: 0.2, SMP: 0.35, PHP: 0.15 dairy_m: 0.2 |
[37] |
| milk_movement_from_small_milkplants (SMP) | 0: 0, 100: 0.6, 321: 0.3, 804: 0.05, 900+: 0.05 | 0 min, 0.1 max; tabled over days |
dairy_s: 0.10, LMP: 0.50, PHP: 0.20 dairy_m: 0.20 |
Expert opinion |
| milk_movement_from_large_milkplants (LMP) | 0: 0, 100: 0.6, 321: 0.3, 804: 0.05, 900+: 0.05 | 0 min, 0.1 max; tabled over days |
dairy_s: 0.10, SMP: 0.55, PHP: 0.20 dairy_m: 0.15 |
Expert opinion |
| milk_movement_from_producer_handler_plants (PHP) | 0: 0, 100: 0.6, 321: 0.3, 804: 0.05, 900+: 0.05 | 0 min, 0.1 max; tabled over days |
dairy_s: 0.05, dairy_l: 0.05, LMP: 0.35, SMP: 0.50 dairy_m: 0.05 |
Expert opinion |
| Parameter | Value(s) | Reference(s) |
|---|---|---|
| Maximum Time of Infectiousness | (in days) | [38] |
| dairy_l, dairy_s, cattle_dealer | BetaPert (30-34-42) | [39] |
| cattle market, cattle slaughterhouse | BetaPert (7-10-14) | [40] |
| milkplant | BetaPert (1-4-28) | Expert opinion |
| Infection to Clinical Signs Onset (day: probability) | 0:0, 1:0.1209, 2:0.2940,3: 0.5046, 4:0.6968, 5:0.8372, 6:0.9225, 7:0.9670, 8:0.9873, 9:1 | [8] |
| Local Spread Probability of transmission following onset of clinical signs | (day:km bins:probability) | [41] |
| when not detected and not heightened | 0:1:0, 0:2:0, 0:3:0, 0:4:0, 1:1:0.007, 1:2:0.002, 1:3:0, 1:4:0, 2:1:0.012, 2:2:0.003, 2:3:0.001, 2:4:0, 3:1:0.012, 3:2:0.004, 3:3:0.001, 3:4:0 | [41] |
| when not detected and heightened | 0:1:0, 0:2:0, 0:3:0, 0:4:0, 1:1:0.007, 1:2:0.002, 1:3:0, 1:4:0, 2:1:0.012, 2:2:0.003, 2:3:0.001, 2:4:0, 3:1:0.015, 3:2:0.0044, 3:3:0.001, 3:4:0 | [41] |
| when detected and not depopulated and not heightened | 0:1:0, 0:2:0, 0:3:0, 0:4:0, 1:1:0.00175, 1:2:0.0005, 1:3:0, 1:4:0, 2:1:0.003, 2:2:0.00075, 2:3:0.00025, 2:4:0, 3:1:0.003, 3:2:0.001, 3:3:0.00025, 3:4:0 | [41] |
| when detected and not depopulated and heightened | 0:1:0, 0:2:0, 0:3:0, 0:4:0, 1:1:0.00175, 1:2:0.0005, 1:3:0, 1:4:0, 2:1:0.003, 2:2:0.00075, 2:3:0.00025, 2:4:0, 3:1:0.0375, 3:2:0.0011, 3:3:0.00025, 3:4:0 | [41] |
| when depopulated and no post-depopulation spread and not heightened | 0:1:0, 0:2:0, 0:3:0, 0:4:0, 1:1:0.000875, 1:2:0.00025, 1:3:0, 1:4:0, 2:1:0.0015, 2:2:0.000375, 2:3:0.000125, 2:4:0, 3:1:0.0015, 3:2:0.0005, 3:3:0.000125, 3:4:0 | [41] |
| when depopulated and no post-depopulation spread and heightened | 0:1:0, 0:2:0, 0:3:0, 0:4:0, 1:1:0.000875, 1:2:0.00025, 1:3:0, 1:4:0, 2:1:0.0015, 2:2:0.000375, 2:3:0.000125, 2:4:0, 3:1:0.001875, 3:2:0.00055, 3:3:0.000125, 3:4:0 | [41] |
| when not detected and no post-depopulation spread | 0-7:20:0.000005, 8:20:0, 0-8:20+:0 | [41] |
| Airborne spread (km bins: probability) | 1: 0.00118, 1+: 0 | [42] |
| Surveillance zones | (in km radii from infected premises) | [43] |
| Infected Zone | 0.005 | [43] |
| Buffer Zone | 10 | [43] |
| Control Area | 20 | [43] |
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