Table 1.
Comparisons of best fit FOI model per Bartonella spp. genotype w/& w/out sampling site deviations in λ.
| Bartonella spp. | Model Form | Optimized Parameter Estimates |
neg. log-likeli-hood | LRT† | p-val†† | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Force of Infection |
Site-Specific Deviations to λ |
σ | ||||||||||
| λ (0–15) | λ (16–30) | λ (30+) | Ank. Out | Ank. In | Rano. Out | Rano.In | ||||||
| B. elizabethae 1 | SIS | 1.75−23 | 5.93e-02 | 5.10e-02 | – | – | – | – | 0.286 | 52.56 | – | – |
| SIS (w/λ site deviations) |
4.91e-35¶ | 4.83e-01¶ | 4.11e-01¶ | 6.26 | 1.95 | – | 2.42 | 6.58 | 43.98 | 17.16 | 0.00003*** | |
| B. elizabethae 2 | SIS | 4.26e-09 | 6.38e-02 | 2.46e-02 | – | – | – | – | 0.680 | 23.25 | – | – |
| SIS (w/λ site deviations) |
4.91e-35¶ | 4.38e-01¶ | 1.70e-01¶ | 2.42 | – | – | 2.78 | 6.62 | 19.89 | 6.726 | 0.00950*** | |
| B. phoceensis 1 | SI (null) | (constant FOI) 0.0065 | – | – | – | – | – | 75.28 | – | – | ||
| SI (null) (w/λ site deviations) |
(constant FOI) 0.0067¶ | 1.22 | 1.29 | 0.662 | 0.862 | – | 73.91 | 2.742 | 0.09774* | |||
| B. rattimassiliensis 1 | SI | 1.07e-02 | 1.17e-12 | 2.71e-11 | – | – | – | – | – | 60.84 | – | – |
| SI (w/λ site deviations) |
1.48e-02¶ | 7.20e-13¶ | 8.30e-12¶ | 0.681 | 0.860 | 1.247 | 0.145 | – | 57.27 | 7.136 | 0.00756*** | |
| SIS | (constant FOI) 0.011 | – | – | – | – | 0.050 | 60.66 | – | – | |||
| SIS (w/λ site deviations) |
(constant FOI) 0.515¶ | 2.04 | 2.28 | 3.64 | 0.306 | 6.47 | 57.46 | 6.394 | 0.01145** | |||
†Likelihood ratio test ††associated p-value from a chi-squared distribution comparing the negative binomial log-likelihood of the more restrictive to the less restrictive model via the following equation: 2*(ll(m2)-ll(m1)) where m1 = more restrictive, no site deviation model and m2 = less restrictive, site deviation-permitting model. ¶These values indicate mean lambda values across subset of sites for which each model fit is tabulated; site-specific deviations are added to mean to reproduce values visualized in Fig. 2. *Statistical significance by p-value standard <0.1*, <0.05**, <0.01***.