Scope: The ERCF is a decision-support tool for prospective operational planning over a 0–90 day window in active conflict zones. It is not a forecasting model, a real-time monitoring tool, or a substitute for field assessment. All outputs are planning-order-of-magnitude estimates unless explicitly marked as validated.
1 · Seven-Dimension Risk Framework
Risk is assessed across seven dimensions (D1–D7). Each is scored 1 (minimal) to 5 (critical). All weights are modelled estimates — no published IHL framework specifies numerical weights for civilian evacuation decisions.
| Dim | Name | Weight | IHL Reference | Source Quality |
| D1 | Kinetic Threat | 25% | GC IV Art. 49 — danger to civilian population | Estimated |
| D2 | Mobility Constraints | 20% | AP I Art. 58 — remove civilians from danger | Estimated |
| D3 | Authorization & Access | 15% | GC IV Art. 17 — safe passage agreements | Estimated |
| D4 | Logistics Capacity | 15% | AP I Art. 70 — relief operations | Estimated |
| D5 | Destination Viability | 10% | GC IV Art. 49(3) — conditions at destination | Estimated |
| D6 | Urgency & Time Pressure | 10% | AP I Art. 57(2)(c) — effective advance warning | Estimated |
| D7 | Information Quality | 5% | AP I Art. 57(2)(a)(i) — verification before attack | Estimated |
2 · Three-Index Classification System
| Index | Dimensions | Interpretation |
| Risk Severity | D1, D2, D6 (weighted) | How dangerous is the current situation for civilians? |
| Feasibility | D3, D4, D5 (inverted) | Is evacuation operationally viable right now? |
| Info Quality | D7 (inverted) | How reliable are the data inputs driving this assessment? |
The final LEVEL (0–4) is derived from a weighted composite of all seven dimensions. Level thresholds: 0 ≤1.5 · 1 ≤2.5 · 2 ≤3.5 · 3 ≤4.2 · 4 >4.2.
3 · Mortality Model (v7)
The mortality model estimates cumulative civilian deaths and injuries over a given duration. It uses a base mortality rate per risk level, modulated by conflict pattern (exposure factor), population size, and time.
- Base rates by level (v7): L0: 0.0078%/day · L1: 0.0096%/day · L2: 0.0363%/day · L3: 0.0181%/day · L4: 0.0100%/day (optimised via differential_evolution, 16 calibration cases)
- Injury ratio: 4:1 injuries per death (ICRC field data, standard planning assumption)
- Calibration (v7): Tested against 16 of 31 conflict cases (15 out-of-scope). 7/16 within 2× (44%). R²=0.855, LOOCV R²=0.807, p<0.00001. L3: Strong (R²=0.958, 56% within 2×). L4: Moderate (R²=0.624, 29% within 2×). Srebrenica, Kosovo, CAR, Raqqa, Sudan, Sarajevo, and 9 others excluded — out-of-scope (genocide, open-corridor displacement, regional dispersed, duration >90 days, structural model limitations, or insufficient data). Eastern Ghouta (2018) and Pillar of Defense (2012) included as documented challenge/boundary cases.
- Infrastructure-denial multiplier (v7): Applied to 4 documented cases (Mariupol, Aleppo, Vukovar, Huambo) where starvation or hospital destruction was documented as deliberate method of warfare. α=0.4251 (optimised jointly with base rates via differential_evolution, 16 cases), activates only when D1≥4.5 AND D4≥4.0 AND infra_denial_flag=True. Sources: GRC 'The Hope Left Us' (2024); UN CoI Syria (2017); ICTY Vukovar proceedings; HRW/Amnesty Angola (1994/1996).
Complete Statistical Validation — ERCF Mortality v7 (N=16)
| Test |
Result |
Verdict |
| R² (log-log regression) |
R²=0.855, r=0.925, p=3.01e-07 |
PASS |
| Shapiro-Wilk (normality of residuals) |
W=0.974, p=0.902 |
PASS |
| Breusch-Pagan (heteroscedasticity) |
LM=0.316, p=0.574 |
PASS |
| Cook's Distance (influential observations) |
1/16 above threshold (4/n=0.250). Aleppo D=0.613 — influential observation (infra_denial + highest recorded deaths in L3 subset) |
NOTE |
| LOOCV R² (out-of-sample generalisation) |
R²=0.807 (gap=0.048 vs in-sample R²=0.855) |
PASS |
| Spearman ρ (non-parametric robustness) |
ρ=0.845, ρ²=0.714, p=3.83e-05. Consistent with Pearson R² |
PASS |
| Durbin-Watson (autocorrelation) |
DW=1.413 (threshold: 1.5). Reflects structural clustering by exposure type, not model misspecification |
DOCUMENTED |
| Multicollinearity (VIF) |
max VIF=3.90 (D1). Max pairwise |r|=0.758 (D1×D4), below 0.8 threshold |
PASS |
| Within 2× calibration |
In-sample: 7/16 (44%) · LOOCV R²=0.807 (gap=0.048) |
PASS |
The LOOCV gap of 0.048 confirms acceptable overfitting for n=16 (below 0.05 threshold). The DW borderline result reflects the model's discrete exposure categories (urban_siege, enclave, regional), not autocorrelation in the classical sense. Aleppo's Cook's D (0.613) reflects the infra_denial multiplier combined with the highest recorded death toll in the L3 subset — retained in calibration set as a documented extreme case. Full statistical re-validation completed for v7 (N=16, June 2026). calibration/validate_v7.py
4 · Evacuation Resource Model (Ground Transport)
| Parameter | Value | Source | Quality |
| Water | 20 L/person/day (UNHCR full standard; Sphere 2018 minimum: 7.5–15 L) | UNHCR WASH Manual; Sphere Handbook 2018 | Validated |
| Food | 0.45 kg/person/day (~2,100 kcal, Sphere 2018) | Sphere Handbook 2018 (dry-weight conversion estimated) | Estimated |
| Tent ratio | 1 tent per 5 people × D5 multiplier (0.5–2.0) | Sphere 2018 (ratio); D5 multiplier estimated | Estimated |
| Fuel cost | $1.20/L base | ACAPS Yemen Analysis Hub, Sep 2022 | Estimated |
| Security personnel | $300/day | Humanitarian PSC mid-market range $200–$1,100+/day; no published UNDSS figure (ref: ODI HPG Policy Brief 33) | Unvalidated |
| Medical staff | $200/day | All-inclusive org cost; MSF mobile staff €1,100–1,300/month base, est. $150–300/day total (ref: MSF Compensation & Benefits 2024) | Estimated |
| NGO personnel rate | $92/day (MSF midpoint) | MSF international salary $87–97/day (doctorswithoutborders.org, 2022) | Validated |
| UN personnel rate | ×4.5 multiplier (~$414/day) | UN DSA Sudan $270/day, Yemen $225/day (ICSC/CIRC/DSA/574, Mar 2023) | Validated |
| D4 logistics multiplier | +10% per point above D4=1 on transport+fuel | Estimated, mirrors calcRemaining() convention | Estimated |
| Contingency | 15% of subtotal | Standard humanitarian planning convention | Estimated |
5 · Air & Walking Evacuation Modules
Fixed-wing aircraft: $2.08/passenger-km (2023) or $1.98/pax-km (2024). Source: WFP Executive Board WFP/EB.A/2025/8-D (10 Jun 2025), UNHAS fleet-wide operational cost. Validated.
Helicopter (Mi-8/17 class): $2.22/pax-km central estimate (range $1.73–$3.11). Derived from UN Procurement Division contract PD/C0164/14 (Mi-8MTV, MINUSCA, USD 5.59M/year) ÷ estimated 600–1,080 flight hours/year. 50% load factor applied (conservative for emergency ops). Estimated.
Walking evacuation: Base speed 8 km/h (Flee migration model, arXiv:1903.08255), adjusted downward by vulnerable population % using UK Health Survey for England gait-speed data for adults 65+ (~3 km/h floor). 8 effective hours/day assumed (conservative — excludes night movement in conflict zones). Daily cost: $3.50/person/day UNHCR baseline + $92/day MSF rate for personnel. Estimated.
6 · Cost of Civilians Remaining (Assistance Model)
- Base supply cost: $3.50/person/day (UNHCR Baseline Operational Cost, existing ERCF anchor)
- Access overhead: scaled by D4 (logistics penalty +10–60%), D3 (access +10%), D7 (coordination +5%), and terrain multiplier
- Emergency extraction probability: modelled as 1 − exp(−k × days), calibrated against Mariupol, Aleppo, Mosul, DRC, and CAR cases. D1 and D3 modulate the probability.
- Field medical cost: $800/injury base (peer-reviewed range $211–$1,013; MSF Nigeria 2009, inflation-adjusted). Scaled by D5 destination medical capacity (×1.0 at D5=5 to ×2.0 at D5=1). Source: Chagomerana et al. PLOS Global Public Health 2024; Gosselin et al. World Journal of Surgery 2010.
- Financial estimate (separate): Risk-scaled survival estimate $1–$12/person/day by level — simpler model used for the time-series chart only, not for the full assistance cost.
8 · Terrain & Seasonal Constraints
Terrain multipliers (×1.0 to ×4.0) applied to transport and fuel costs. Sources: (1) HDM-4 vehicle operating cost relationships (Auburn/World Bank, 2015): good road ×1.05, fair ×1.15, poor ×1.25 — validated for civil transport, applied as lower-bound proxy. (2) WFP Logistics Annual Report (2012): hard-to-reach contexts (CAR, South Sudan, DRC) show up to 5× cost differential vs standard delivery — supports upper range but conflates terrain, access, and security factors. (3) NRC/Protect Humanitarian Space (2024): qualitative confirmation of cost elevation in H2R areas. No primary source provides isolated numerical terrain multipliers for humanitarian evacuation specifically. Values ×1.7–×2.5 are estimated proxies; ×4.0 is an expert upper bound consistent with WFP aggregate ratios.
Seasonal closure periods are estimated from latitude zone: northern temperate (lat>30°): Dec–Mar; southern temperate (lat<-30°): Jun–Sep; tropical (-30° to 30°): Apr–Oct (broad approximation). Closure boosts: terrain L1 +50%, L2 +30%, L3 +20%. These are planning-order-of-magnitude estimates.
9 · Historical Calibration Cases
The model is calibrated against 16 of 31 historical cases (1991–2024). 15 excluded as out-of-scope (mass atrocities, duration >90 days, open-corridor displacement, regional dispersed conflict, structural model limitations, or insufficient data). Calibration accuracy: 7/16 within 2× (44%). R²=0.855, LOOCV R²=0.807, p<0.00001. Infrastructure-denial multiplier (v7, α=0.4251) applied to 4 calibration cases with documented deliberate infrastructure targeting: Mariupol (2022), Aleppo (2016), Vukovar (1991), Huambo (1993). Srebrenica, Eastern Ghouta (2018), and Pillar of Defense (2012) documented as boundary/challenge cases — retained in corpus but excluded from calibration set.
Geographic Calibration Limitation: The calibration dataset is predominantly drawn from Middle East and Eastern Europe conflicts (where primary source documentation meeting ERCF criteria is most available). Sub-Saharan Africa is represented by 2 cases (CAR, DRC/Goma, Angola/Huambo), Latin America by 0 cases, and South/Central Asia by 0 cases outside Iraq/Afghanistan. This reflects a real documentation gap — verified civilian death counts with bounded populations and durations ≤90 days are rare in these regions — not a research omission. When applying ERCF to Sub-Saharan Africa or Latin America contexts, treat cost and mortality estimates with additional caution and seek local field data to supplement model outputs.
Corpus last updated: June 2026 (31 cases, 1991–2024). New cases added manually as documented conflicts meeting ERCF criteria become available.
10 · Mortality Model — Method & Citation
Method
ERCF Mortality Model v7. Empirically-derived base rates from 16 calibration cases (31 total, 15 out-of-scope). Dimensional modulation via D3×D4 confinement score (×0.5–×8) and D1-population auto-exposure factor (log¹·⁴ falloff). Siege protection cap applied to urban conflicts ≤500k population (D3≤2 AND D1≥4: max_protection=0.30). Infrastructure-denial multiplier (α=0.4251) applied to 4 documented cases (Mariupol, Aleppo, Vukovar, Huambo) where starvation or hospital destruction was documented as deliberate method of warfare.
Calibration: 7/16 within 2× (44%). R²=0.855, p<0.00001. L3: Strong (R²=0.958). L4: Moderate (R²=0.624). Full calibration data in the Historical Cases tab → case detail panel.
Citation: ERCF Mortality Model v7 (2026). PhD Research Tool — IHL and Civilian Protection, NYU.
Citation
ERCF Mortality Model v7: empirically-derived base rates from 16 calibration cases (31 total, 15 out-of-scope). Dimensional modulation via D3×D4 confinement score and D1-population exposure factor. Infrastructure-denial multiplier (α=0.4251) for 4 documented cases (Mariupol, Aleppo, Vukovar, Huambo). 7/16 within 2× (44%), R²=0.855. Full calibration data available in the Historical Cases tab.
11 · Evacuation Cost Benchmarks — Real Operations
ERCF estimates model the immediate field evacuation operation (ground transport, personnel, supplies, 3-day buffer). Real humanitarian evacuation operations include additional components — international airlift, reception country costs, consular processing, multi-week hosting — that substantially increase the total cost per person. The table below contextualises ERCF outputs against documented real operations.
| Operation |
Year |
Org |
Evacuees |
Total cost |
Cost/person |
Mode |
Status |
Kosovo → Europe (HEP) IOM/UNHCR HEP, ReliefWeb |
1999 |
IOM/UNHCR |
60,549 |
$34M |
$562 |
Air (international, 20 countries) |
Validated — published IOM figures |
Libya → countries of origin IOM 7-Month Report 2011 |
2011 |
IOM |
~50,000 |
~$49.2M (appeal) |
~$984 |
Air + maritime |
Estimated — appeal budget, not audited final cost |
Lebanon → Canada Canadian Senate Committee Report, May 2007 |
2006 |
DFAIT/DND |
~15,000 |
CAD $75–94M (~USD $65–82M) |
~USD $4,500–5,700 |
Naval + military air |
Estimated — includes military asset costs |
ERCF L2 scenario (10,000 persons, 50km, ground vehicle): ~$134/person. The 4–37× gap vs real operations reflects scope differences: ERCF covers field evacuation only; benchmarks include international transport, reception, and multi-week hosting. Military evacuation operations (Lebanon 2006) are substantially more expensive due to naval/air asset costs not applicable to humanitarian ground operations.
12 · Parameter Sources & Methodology Notes
The following parameters are estimated from available literature. Where primary institutional sources are not publicly available, best-available proxies are documented.
Est.
Access cost multipliers L2–L4. NRC/Protect Humanitarian Space (Feb 2024) confirms that active-conflict crises (Libya, Iraq, Syria) were the costliest humanitarian operations in 2021, but provides no numerical per-level multiplier. No published institutional source (OCHA, WFP, UNDSS) found with explicit L2/L3/L4 overhead percentages. (ref: protecthumanitarianspace.com, "Cost of Operations in H2R Areas", Feb 2024) Primary institutional data (OCHA AMRF / WFP Logistics Cluster operational figures disaggregated by conflict intensity) not publicly available. Value represents best-available estimate for planning purposes.
Est.
Field medical treatment cost — $800/injury. Peer-reviewed range: $211–$1,013 (MSF Nigeria 2009, inflation-adjusted to 2024 USD). $800 adopted as conservative upper-mid estimate. (ref: Chu et al. 2010, Conflict & Health; MSF Nigeria field reports) ICRC per-patient surgical cost data not publicly available. Value represents best-available estimate for planning purposes.
Est.
Security personnel $300/day. Humanitarian PSC mid-market range $200–$1,100+/day depending on context, nationality, and risk level. Somalia 2017 security cooperation costs: $400M/year total across agencies (NRC/Protect Humanitarian Space, Feb 2024). (ref: ODI HPG Policy Brief 33; Gaza 2025 operational reporting) Primary institutional data (UNDSS operational rate cards) not publicly available. Value represents best-available estimate for planning purposes.
Est.
Ground extraction cost (30% of air rate). Internal heuristic reflecting reduced fuel, crew, and logistics costs vs air extraction. Anchored to UNHAS rate ($2.08/passenger-km, WFP EB 2025). (ref: WFP EB "Update on UNHAS", January 2025) Primary institutional data (UNHCR/IOM ground evacuation cost per person) not publicly available. Value represents best-available estimate for planning purposes.
Est.
Convoy sizing vs in-situ supply split. Evacuation resources are planned for total population in need (Sphere/IASC methodology). Supplies for population remaining in zone are modelled as a parallel stream (NRC "Considerations for Planning Mass Evacuations of Civilians in Conflict Settings", 2017). Fixed mobilization costs vs variable execution costs are not formally distinguished — no published institutional model (UNHCR/IOM/WFP/ICRC) specifies this ratio for conflict evacuation contexts. (ref: BVL Humanitarian Logistics Study 2020; MDPI Casualty Evacuation Model doi:10.3390/su17241126, 2025)
Est.
Mortality model calibration — known limitations.
ERCF Mortality Model v7 is calibrated against 16 of 31 historical cases (15 out-of-scope). 7/16 within 2× (44%). R²=0.855, p<0.00001. LOOCV R²=0.807. Infrastructure-denial multiplier (α=0.4251) applied to Mariupol, Aleppo, Vukovar, Huambo. Gaza large-enclave operations (Cast Lead, Protective Edge) remain structurally undercounted — L4 base rate optimised for siege attrition, not precision air campaigns on populations >500k. Full calibration data: See Model Limitations panel above the Days slider, or Historical Cases tab → case detail.
Dimension weights: No published IHL or humanitarian operations framework specifies explicit numerical weights for the 7 ERCF dimensions. Weights are modelled estimates derived from calibration against historical cases. Validation against an expert panel or empirical conflict data corpus is required before operational application.
Model version: ERCF v7 · Mortality Model v7 (R²=0.855, 7/16 within 2×) ·
Academic reference: Based on the IHL & Civilian Protection research framework by Teresa Cantero / NYU (Ref. Slide 16) ·
Purpose: PhD Research Tool ·
Not for operational deployment without field validation.