Questions and assignments to Lecture 3

3.8. Questions and Assignments to Lecture 3

3.1. How to distinguish among the regular, random and aggregated spatial distributions of organisms?

3.2. How to estimate distribution parameters using the method of moments?

3.3. Colorado potato beetles were counted on 30 potato plants, and there was no significant difference between the actual distribution of beetles and both poisson and negative binomial theoretical distributions. How to decide if their distribution is random or aggregated? If additional sampling is required, then how to determine the additional number of samples?

3.4. Taylor's power law for the number of fleas on rats is: ln(s ) = 0.1 + 1.5 ln(m). Total 17 fleas were found on 10 rats. How many rats should be examined to estimate flea abundance with a 10% accuracy?

3.5. What is the relation between the correlogram, covariance function, and variogram?

3.6. Estimate the fractal dimension of the "carpet of Serpinski":

3.7. What is the area of this "carpet"?

Alexei Sharov 12/28/95