Comparison of clump size estimates (i.e. number of colonies that are meeting at a certain time) using the model approximate theory against those obtained by computer simulation experiments
| Intensitya (λ) | Probability of colony in clump of size one | Mean clump size | ||
| Theory | Simulation | Theory | Simulation | |
| 0.01 | 0.882 | 0.882 | 1.07 | 1.07 |
| 0.02 | 0.778 | 0.780 | 1.14 | 1.13 |
| 0.05 | 0.533 | 0.537 | 1.39 | 1.38 |
| 0.1 | 0.285 | 0.292 | 2.00 | 1.94 |
| 0.2 | 0.0810 | 0.0966 | 4.51 | 3.95 |
| 0.5 | 0.00187 | 0.00821 | 85.1 | 74.5 |
| Intensitya (λ) | Probability of colony in clump of size one | Mean clump size | ||
| Theory | Simulation | Theory | Simulation | |
| 0.01 | 0.882 | 0.882 | 1.07 | 1.07 |
| 0.02 | 0.778 | 0.780 | 1.14 | 1.13 |
| 0.05 | 0.533 | 0.537 | 1.39 | 1.38 |
| 0.1 | 0.285 | 0.292 | 2.00 | 1.94 |
| 0.2 | 0.0810 | 0.0966 | 4.51 | 3.95 |
| 0.5 | 0.00187 | 0.00821 | 85.1 | 74.5 |
Results are based on hypothetical colonies of unit radius placed on a filter with radius 150. Simulation results are based on 1000 replicates.
aThe number of colonies per unit area in a Poisson distribution.
Comparison of clump size estimates (i.e. number of colonies that are meeting at a certain time) using the model approximate theory against those obtained by computer simulation experiments
| Intensitya (λ) | Probability of colony in clump of size one | Mean clump size | ||
| Theory | Simulation | Theory | Simulation | |
| 0.01 | 0.882 | 0.882 | 1.07 | 1.07 |
| 0.02 | 0.778 | 0.780 | 1.14 | 1.13 |
| 0.05 | 0.533 | 0.537 | 1.39 | 1.38 |
| 0.1 | 0.285 | 0.292 | 2.00 | 1.94 |
| 0.2 | 0.0810 | 0.0966 | 4.51 | 3.95 |
| 0.5 | 0.00187 | 0.00821 | 85.1 | 74.5 |
| Intensitya (λ) | Probability of colony in clump of size one | Mean clump size | ||
| Theory | Simulation | Theory | Simulation | |
| 0.01 | 0.882 | 0.882 | 1.07 | 1.07 |
| 0.02 | 0.778 | 0.780 | 1.14 | 1.13 |
| 0.05 | 0.533 | 0.537 | 1.39 | 1.38 |
| 0.1 | 0.285 | 0.292 | 2.00 | 1.94 |
| 0.2 | 0.0810 | 0.0966 | 4.51 | 3.95 |
| 0.5 | 0.00187 | 0.00821 | 85.1 | 74.5 |
Results are based on hypothetical colonies of unit radius placed on a filter with radius 150. Simulation results are based on 1000 replicates.
aThe number of colonies per unit area in a Poisson distribution.
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