Some Research Results and Ideas to Remember

The following are, for the most part, little example analysis files to illustrate some of the ideas I've been thinking about lately (in the last fifteen years, say!;).

• Global Climate Destabilization:
  • Modeling the Keeling CO2 data

  • Illustrating the Milankovich effect in the Vostok Ice Core, through variogram analysis

  • Illustrating the Vostok Ice Core shift between temp and CO2, and my (somewhat surprising) result that co2 leads temperature. Climate skeptics have made much of their belief that temperature leads co2 -- i.e. that it's not co2 that's causing temperature changes, but even vice versa!

• Illustrating Long, A. and C. Long. Surface Approximation and Interpolation Via Matrix SVD. The College Mathematics Journal, Vol. 32, #1, January, 2001:20-25.

• Illustrating how one uses linear algebra and a modified Newton's method to do non-linear regression.

• Illustrating some modelling aspects of my work with Rick Boyce

• Illustrating my attempt to buy a reprieve for Randy Wiebe's chickens

• Wavelets in Linear Algebra:
  • Here's my sample wavelet file:
  • This one shows the inversion process:
  • Here's a little cheapo compression for Jay's image:

• SVD in Linear Algebra:

• Optimal Placement of Fixed Solar Panels (a talk at the KYMAA Meetings, Bowling Green, KY: March, 2008, and weblink)

• Raccoon Rabies Project
  • MAA presentation
  • Lucey, B. T., D. Smith, C. A. Russell, M. L. Wilson, A. Long, L. A. Waller, J. E. Childs, and L. A. Real. Spatio-Temporal Analysis of Epizootic Raccoon Rabies Propagation in Connecticut, 1991-1995. Vector Borne and Zoonotic Diseases, Vol. 2, #2, 2002:77-86.
  • mark.pdf
  • Netlogo

• Hastings, Jon M., Charles W. Holliday, Andrew Long, Katie Jones and Grayson Rodriguez. Size-Specific Provisioning by Cicada Killers, Sphecius speciosus, (Hymenoptera: Crabronidae) in North Florida. . Florida Entomologist 93(3):412-421. 2010. doi: 10.1653/024.093.0315 (a local copy)

• I'm interested in the use of human waste as a fertilizer, rather than as a pollutant. We're causing giant dead zones in the Gulf of Mexico because of our dumping of incredible amounts of nitrogen-based fertilizers from human waste and agricultural run-off) into the Mississippi. Algal blooms suck oxygen up from the water, and kill the fish (and other creatures) relying on breathing.

  I took the idea for this analysis (which I used in a calculus class to illustrate Riemann sums, and approximation of integrals) from this article.

• Some weird "hobby" things:

• Loyola Stuff (1996-1997):

  • Weight-height relationships among eight populations of West African origin: the case against constant BMI standards

  • The Relation between Income and Mortality in U.S. Blacks and Whites