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Modeling age-specific cancer incidences using logistic growth equations: implications for data collection.
Xing-Rong Shen1, Rui Feng, Jing Chai
1School of Health Service Management, Anhui Medical University, Hefei, China
Asian Pacific Journal of Cancer Prevention : APJCP
|December 19, 2014
Summary
Mathematical models using logistic growth equations accurately describe cancer incidence rates. This approach can significantly reduce the data collection workload for cancer registries and surveillance systems.
Area of Science:
- Epidemiology
- Mathematical Biology
- Biostatistics
Background:
- Cancer registries and surveillance systems generate vast data for epidemiological modeling.
- Current models like time series and age-period-cohort (APC) primarily focus on analysis and prediction, with less emphasis on optimizing data collection.
- There is a need to explore modeling approaches that can inform the design of more efficient cancer data collection initiatives.
Purpose of the Study:
- To model age-specific cancer incidence rates using logistic growth equations.
- To evaluate the performance of these models under various data completeness scenarios.
- To derive insights for improving cancer registry and surveillance data collection strategies.
Main Methods:
- Utilized the China Cancer Registry Report 2012 as the data source.
- Employed 3-parameter logistic growth equations to model age-specific incidence rates for all and top 10 cancers.
- Performed modeling using full age-span fitting, multiple 5-year segment fitting, and single-segment fitting.
- Assessed model performance using adjusted goodness of fit (combining sum of squared residuals and relative errors).
Main Results:
- Logistic growth models demonstrated excellent fit (goodness of fit R > 0.96) for most cancers when using full age-span data.
- Models derived from urban resident data showed performance greater than or equal to those from rural data.
- Models based on multiple 5-year segments maintained high performance (R > 0.89) even when up to 75% of segments were excluded.
- Single-segment models showed higher goodness of fit for older age groups.
Conclusions:
- Logistic growth models effectively describe age-specific cancer incidence rates for most cancers.
- These models offer a promising approach to inform and potentially reduce the data collection volume for cancer registries and surveillance.
- The findings suggest that optimized data collection strategies can be developed based on robust mathematical modeling.
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