Ecological Archives A019-031-A1

Eli P. Fenichel, Jean I. Tsao, and Michael L. Jones. Year. Modeling fish health to inform research and management: Renibacterium salmoninarum dynamics in Lake Michigan. Ecological Applications VOL:pp–pp.

Appendix A. Elasticity results for wild and hatchery chinook salmon by age and health class with the full transmission and vertical infection going to the infectious health class.

TABLE A1. Elasticity results for wild and hatchery chinook salmon by age and health class with the full transmission and vertical infection going to the infectious health class. Arc elasticity is the percentage change in the prevalence of a given health class at age divided by 20% (the amount by which the parameter value was increased). If the |arc elasticity| > 1, then the model is deemed to be elastic and sensitive to changes in the parameter; likewise, if |arc elasticity| < 1, then the model is deemed to be insensitive to changes to the parameter.

Parameter

Health class

Salmon type and age class

 

 

w0

h0

w1

h1

w2

h2

w3

h3

w4

h4

Ricker density-dependence parameter, γ

E

-0.94

-0.58

-1.15

-0.50

-1.15

-0.43

-1.12

-0.37

-1.08

-0.30

I

-1.55

-0.23

-2.01

-0.58

-1.75

-0.82

-1.69

-0.92

-1.65

-0.94

Ricker density-independent parameter, α

E

1.25

0.94

1.73

0.79

1.71

0.68

1.64

0.57

1.55

0.47

I

2.42

0.37

3.44

0.90

2.92

1.24

2.78

1.36

2.67

1.35

Disease transmission parameter, β

E

1.17

1.72

1.46

1.57

1.42

1.44

1.33

1.32

1.23

1.20

I

1.22

0.33

1.34

0.81

1.38

1.11

1.33

1.21

1.26

1.19

Advancement parameter, q50%

E

-0.02

-0.19

-0.07

-0.16

-0.09

-0.14

-0.09

-0.11

-0.07

-0.09

I

-0.32

-0.09

-1.22

-0.21

-0.53

-0.30

-0.41

-0.34

-0.36

-0.34

Advancement (equilibrium) parameter, qeq

E

-0.03

-0.36

-0.25

-0.29

-0.22

-0.23

-0.18

-0.17

-0.13

-0.11

I

-0.89

-0.22

-0.97

-0.55

-1.00

-0.78

-0.98

-0.88

-0.95

-0.90

Vertical transmission parameter, v

E

0.12

0.10

0.06

0.07

0.05

0.06

0.05

0.05

0.04

0.05

I

0.47

0.02

0.21

0.04

0.08

0.05

0.06

0.05

0.05

0.05

Disease induced mortality, d

E

-0.44

-0.96

-0.76

-0.90

-0.79

-0.85

-0.77

-0.80

-0.74

-0.76

I

-1.12

-0.72

-1.23

-1.20

-1.18

-1.38

-1.24

-1.41

-1.29

-1.41

Natural mortality, m

E

-1.39

-1.96

-2.05

-2.04

-2.24

-2.13

-2.36

-2.22

-2.47

-2.30

I

-2.39

-1.08

-3.19

-1.88

-2.98

-2.44

-3.03

-2.75

-3.11

-2.92

Fishing mortality, f

E

-0.04

-0.15

-0.13

-0.15

-0.21

-0.20

-0.37

-0.36

-0.59

-0.57

I

-0.16

-0.04

-0.25

-0.12

-0.29

-0.23

-0.45

-0.42

-0.67

-0.64
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