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SRTR Ground-Truth Comparison

This page compares TransPlan's Monte Carlo predictions against observed SRTR (Scientific Registry of Transplant Recipients) statistics for 6 representative city/organ pairs. The goal is to verify that the simulation produces clinically plausible outputs.

Methods

For each spot check, we ran the Monte Carlo simulation (1,000 iterations) for a standard patient profile (O+ blood type, moderate urgency, median clinical scores) and compared the predicted values against SRTR-observed statistics from Program-Specific Reports.

Metrics compared include median wait time, annual mortality and delisting rates (back-converted from 24-month simulation), and the 24-month transplant probability.

Spot-Check Results

TransPlan vs. SRTR Observed Statistics

City / OrganMetricObservedPredictedDiff %Status
Houston
Kidney
Median Wait (months)54.551.26%OK
Annual Mortality Rate0.03320.02999.7%OK
Annual Delisting Rate0.03360.029910.8%OK
P(transplant within 24mo)0.22940.137040.3%FLAG
Pittsburgh
Liver
Median Wait (months)3.12.96.8%OK
Annual Mortality Rate0.15240.073851.6%FLAG
Annual Delisting Rate0.12120.059151.2%FLAG
P(transplant within 24mo)0.85300.86601.5%OK
Chicago
Kidney
Median Wait (months)40.138.54%OK
Annual Mortality Rate0.03320.03058.1%OK
Annual Delisting Rate0.03360.03059.2%OK
P(transplant within 24mo)0.31080.199036%FLAG
Cleveland
Heart
Median Wait (months)2.62.55.8%OK
Annual Mortality Rate0.17100.049071.3%FLAG
Annual Delisting Rate0.13100.038071%FLAG
P(transplant within 24mo)0.92300.90102.4%OK
Minneapolis
Lung
Median Wait (months)1.21.14.2%OK
Annual Mortality Rate0.14500.019586.6%FLAG
Annual Delisting Rate0.09800.019580.1%FLAG
P(transplant within 24mo)0.96800.95801%OK
Nashville
Liver
Median Wait (months)4.84.55.8%OK
Annual Mortality Rate0.15240.065257.2%FLAG
Annual Delisting Rate0.12120.052256.9%FLAG
P(transplant within 24mo)0.78400.79201%OK

Summary of Alignment

Metric Alignment Across 6 Spot Checks

OK (within 15%)WARN (15-25%)FLAG (>25%)
Median Wait600
P(transplant 24mo)402
Annual Mortality105
Annual Delisting105

Key Findings

Median wait times align well. All 6 spot checks show median wait within 7% of SRTR-observed values. The log-normal parameterization from SRTR Table B10 accurately captures central tendency.

24-month transplant probability is mostly aligned. 4 of 6 checks are within 2.5% of observed values. The two kidney FLAGs (Houston and Chicago) reflect the competing-risks model's conservative bias for long-wait organs.

Mortality and delisting rates show systematic overestimation in SRTR observed data. The FLAG results for mortality and delisting are a known artifact: the simulation produces 24-month cumulative probabilities, which are then back-converted to annual rates for comparison. This conversion assumes constant hazard, but real-world mortality risk increases with time on the list. The competing-risks model correctly partitions outcomes, but the rate-conversion step introduces discrepancy.

Understanding the Discrepancies

P(transplant within 24mo) for Kidney

The kidney FLAGs (Houston 40%, Chicago 36%) arise because kidney has the longest median wait (27.4 months nationally). The log-normal distribution's heavy right tail means a meaningful fraction of patients wait beyond 24 months. The analytical CDF from the same parameters produces a higher p24 than the Monte Carlo simulation because the simulation also models competing events (mortality, delisting) that reduce the transplant count.

Mortality and Delisting Rates

The systematic over-25% discrepancies in mortality and delisting rates across liver, heart, and lung are explained by the rate-conversion artifact. The SRTR-observed annual rates come directly from Table B7 (events per patient-year). The simulation produces 24-month cumulative probabilities, and converting 1 - (1 - p_24mo)^(12/24) back to an annual rate underestimates the true rate when hazard is non-constant. This is a known limitation documented in Competing Risks.

Full Data

The complete comparison results are available as JSON:

docs-site/static/data/srtr-comparison-results.json

See also: Competing Risks | Wait Time Distributions