Ecosystem modeling of college drinking: Parameter estimation and comparing models to data

Mathematical and Computer Modelling

Volumn 50, Issue 3-4, 2009, Pages 481-497

  Ackleh, Azmy S ^a   Fitzpatrick, Ben G ^b,c   Scribner, Richard ^d   Simonsen, Neal ^d   Thibodeaux, Jeremy J ^e  

^a UNIVERSITY OF LOUISIANA AT LAFAYETTE   (United States)

^b LOYOLA MARYMOUNT UNIVERSITY   (United States)

^c Tempest Technologies   (United States)

^d LSU School of Public Health   (United States)

^e UNIVERSITY OF CENTRAL OKLAHOMA   (United States)

Author keywords

Comparison of model output to data; Impulsive differential equations; Mathematical model for college drinking; Parameter estimation

Indexed keywords

COLLEGE CAMPUS; COLLEGE STUDENTS; COMPARISON OF MODEL OUTPUT TO DATA; DATA FITS; DRINKING PATTERNS; ECOSYSTEM MODELING; IMPULSIVE DIFFERENTIAL EQUATION; IMPULSIVE DIFFERENTIAL EQUATIONS; MODEL PARAMETERS; PARAMETER ESTIMATE; PREDICTIVE TOOLS; SPECIFIC PROBLEMS; SURVEY DATA; UNCONVENTIONAL APPROACHES;

BEHAVIORAL RESEARCH; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; ECOSYSTEMS; INVERSE PROBLEMS; METAL ANALYSIS; PARAMETER ESTIMATION; STUDENTS;

MATHEMATICAL MODELS;

EID: 67549094618     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2009.03.012     Document Type: Article

References (33)

1. Hingson R., Heeren T., winter M., and Wechsler H. Magnitude of alcohol-related mortality and morbidity among US college students ages 18-24: Changes from 1998 to 2001. Annu. Rev. Public Health 26 (2005) 259-279
2. NIAAA (2002) A Call to Action: Changing the Culture of Drinking at US Colleges, in: US DHHS
3. Wechsler H., Kelley K., Weitzman E.R., SanGiovanni J.P., and Seibring M. What colleges are doing about student binge drinking. A survey of college administrators. J. Am. Coll. Health 48 (2000) 219-226
4. Wechsler H., Lee J.E., Gledhill-Hoyt J., and Nelson T.F. Alcohol use and problems at colleges banning alcohol: Results of a national survey. J. Stud. Alcohol 62 (2001) 133-141
5. Wechsler H., Lee J.E., Nelson T.F., and Lee H. Drinking and driving among college students: The influence of alcohol-control policies. Am. J. Prev. Med. 25 (2003) 212-218
6. Weitzman E.R., Nelson T.F., Lee H., and Wechsler H. Reducing drinking and related harms in college: Evaluation of the A Matter of Degree program. Am. J. Prev. Med. 27 (2004) 187-196
7. Congress of the US, Under the Influence: The Binge Drinking Epidemic on College Campuses, in Senate Committee on Governmental Affairs. US Government Printing Office: Washington DC, 2002
8. Schulenberg J.E., and Maggs J.L. A developmental perspective on alcohol use and heavy drinking during adolescence and the transition to young adulthood. J. Stud. Alcohol Suppl. 14 (2002) 54-70
9. R. Scribner, A.S. Ackleh, B.G. Fitzpatrick, G. Jacquez, J. Thibodeaux, R. Rommel, N. Simonsen, Ecosystems modeling of college drinking-development of a compartmental model, J. Stud. Alcohol Drugs, 2009 (in press)
10. Baer J.S., Kivlahan D.R., and Marlatt G.A. High-risk drinking across the transition from high school to college. Alcohol Clin. Exp. Res. 19 (1995) 54-61
11. Reis J., and Riley W.L. Predictors of college students' alcohol consumption: Implications for student education. J. Genet. Psychol. 161 (2000) 282-291
12. Wechsler H., Dowdall G.W., Davenport A., and Castillo S. Correlates of college student binge drinking. Am. J. Public Health 85 (1995) 921-926
13. McCabe S.E., Schulenberg J.E., Johnston L.D., O'Malley P.M., Bachman J.G., and Kloska D.D. Selection and socialization effects of fraternities and sororities on US college student substance use: A multi-cohort national longitudinal study. Addiction 100 (2005) 512-524
14. Thombs D.L., Wolcott B.J., and Farkash L.G. Social context, perceived norms and drinking behavior in young people. J. Subst. Abuse 9 (1997) 257-267
15. Perkins H.W., Haines M.P., and Rice R. Misperceiving the college drinking norm and related problems: A nationwide study of exposure to prevention information, perceived norms and student alcohol misuse. J. Stud. Alcohol 66 (2005) 470-478
16. Perkins H.W., Meilman P.W., Leichliter J.S., Cashin J.R., and Presley C.A. Misperceptions of the norms for the frequency of alcohol and other drug use on college campuses. J. Am. Coll. Health 47 (1999) 253-258
17. DeJong W., Schneider S.K., Towvim L.G., Murphy M.J., Doerr E.E., Simonsen N.R., Mason K.E., and Scribner R.A. A multisite randomized trial of social norms marketing campaigns to reduce college student drinking. J. Stud. Alcohol 67 (2006) 868-879
18. Scribner R., Mason K., Theall K., Simonsen N., Schneider S.K., Towvim L.G., and DeJong W. The contextual role of alcohol outlet density in college drinking. J. Stud. Alcohol Drugs 69 (2008) 112-120
19. Integrated Postsecondary Education Data System (2007). National Center for Education Statistics, Institute of Education Sciences, US Department of Education: http://nces.ed.gov/ipedspas
20. Bates D.M., and Watts D.G. Nonlinear Regression Analysis and its Applications (1988), Wiley Series in Probability and Statistics, New York
21. A.R. Gallant, Nonlinear Statistical Models, Wiley Series in Probability and Statistics, New York, 1987
22. S. Huet, A. Bouvier, M. Poursat, E. Jolivet, Statistical Tools for Nonlinear Regression: A Practical Guide with S-PLUS and R Examples (Springer Series in Statistics), New York, NY, 2003
23. Ackleh A.S. Parameter estimation in a structured algal coagulation-fragmentation model. Nonlinear Anal. 28 (1997) 837-854
24. Ackleh A.S., Banks H.T., Deng K., and Hu S. Parameter estimation in a coupled system of nonlinear size-structured populations. Math. Biosci. Eng. 2 (2005) 289-315
25. Ackleh A.S., Fitzpatrick B.G., and Hallam T. Approximation and parameter estimation problems for algal aggregation models. Math. Models Methods Appl. Sci. 4 (1994) 291-311
26. Ackleh A.S., and Fitzpatrick B.G. Estimation of discontinuous parameters in general nonautonomous parabolic systems. Kybernetika 32 (1996) 543-556
27. Ackleh A.S., and Fitzpatrick B.G. Estimation of time dependent parameters in general parabolic evolution systems. J. Math. Anal. Appl. 203 (1996) 464-480
28. Banks H.T., and Fitzpatrick B.G. Statistical methods for model comparison in parameter estimation problems for distributed systems. J. Math. Biol. 28 (1990) 501-527
29. Banks H.T., and Kunisch K. Estimation Techniques for Distributed Parameter Systems (1989), Birkhäuser, Boston
30. Davidian M., and Giltinan D.M. Nonlinear Models for Repeated Measurement Data (1995), Chapman and Hall/CRC, New York
31. Adams B., Banks H.T., Banks J.E., and Stark J.D. Population dynamics models in plant-insect herbivore-pesticide interactions. Math. Biosci. 196 (2005) 39-64
32. Dowdall G.W., and Wechsler H. Studying college alcohol use: widening the lens, sharpening the focus. J. Stud. Alcohol. Suppl. 14 (2002) 14-22
33. Hingson R.W., and Howland J. Comprehensive community interventions to promote health: Implications for college-age drinking problems. J. Stud. Alcohol Suppl. 14 (2002) 226-240