Ecological Archives A024-051-A4
D. Andrew R. Drake, Nicholas E. Mandrak. 2014. Bycatch, bait, anglers, and roads: quantifying vector activity and propagule introduction risk across lake ecosystems. Ecological Applications 24:877–894. http://dx.doi.org/10.1890/13-0541.1
Appendix D. Probability distributions describing the availability of n propagules as bycatch to purchasing anglers.
TABLE D1. Characteristics of probability distributions describing the availability of n propagules as bycatch to purchasing anglers (i.e., bycatch parameters: P purchase (n propagules)). Encounter rates (i.e., P purchase (> 0 propagules) for baseline were based on empirical sampling; whereas, infestation and bycatch reduction represent a four-fold increase, and ninety percent reduction, respectively, in encounter rates relative to baseline. The parameter lambda (λ ) describes the mean value of the Poisson distribution; whereas, the parameter mu (μ) describes the mean value of the zero-inflated negative binomial distribution, with additional parameters size (the overdispersion parameter) and zprob (the probability of structural zeros).
Probability Distribution |
Model Scenario |
λ |
μ |
size |
zprob |
Probability of purchasing n propagules |
||||
|
|
|
|
|
|
n = 0 |
n > 0 |
n = 1 |
n = 2 |
n = 10 |
Poisson |
Baseline |
0.00735 |
- |
- |
- |
0.9927 |
0.0073 |
0.007296 |
0.0000268 |
1.25E-28 |
Infestation |
0.0294 |
- |
- |
- |
0.9710 |
0.0290 |
0.028548 |
0.0004197 |
1.29E-22 |
|
Bycatch Reduction |
0.000735 |
- |
- |
- |
0.9993 |
0.000734 |
0.000699 |
0.0000003 |
1.26E-38 |
|
Zero-inflated negative binomial |
Baseline |
- |
0.8 |
0.3 |
0.9773 |
0.9927 |
0.0073 |
0.003354 |
0.0015855 |
4.20E-05 |
Infestation |
- |
0.8 |
0.3 |
0.9103 |
0.9710 |
0.0290 |
0.013253 |
0.0062653 |
1.66E-03 |
|
Bycatch Reduction |
- |
0.8 |
0.3 |
0.9977 |
0.9993 |
0.000734 |
0.000339 |
0.0001607 |
4.26E-06 |