Appendix 1: Calculation and Application of a Vector Index (VI) Reflecting the Number of West Nile Virus Infected Mosquitoes in a Population

PAGE 12 of 13

View Table of Contents

BACKGROUND. The establishment of West Nile virus (WNV) across North America has been accompanied by expanded efforts to monitor WNV transmission activity in many communities. Surveillance programs use various indicators to demonstrate virus activity. These include detecting evidence of virus in dead birds, dead horses, and mosquitoes; and detection of antibody against WNV in sentinel birds, wild birds, or horses (Reisen & Brault 2007). While all of these surveillance practices can demonstrate the presence of WNV in an area, few provide reliable, quantitative indices that may be useful in predictive surveillance programs. Only indices derived from a known and quantifiable surveillance effort conducted over time in an area will provide information that adequately reflects trends in virus transmission activity that may be related to human risk. Of the practices listed above, surveillance efforts are controlled and quantifiable only in mosquito and sentinel-chicken based programs. In these programs, the number of sentinel chicken flocks/number of chickens, and the number of mosquito traps set per week is known and allows calculation of meaningful infection rates that reflect virus transmission activity.

Premise Behind Developing the Vector Index (VI)

Mosquito-based arbovirus surveillance provides three pieces of information: The variety of species comprising of the mosquito community; density of each species population (in terms of the number collected in each trap unit of a given trap type); and if the specimens are tested for the presence of arboviruses, the incidence of the agent in the mosquito population. Taken individually, each parameter describes one aspect of the vector community that may affect human risk, but the individual elements don’t give a comprehensive estimate of the number of potentially infectious vectors seeking hosts at a given time in the surveillance area.

Parameter

Parameter

Parameter

Information Provided

Information Provided

Information Provided

Value in Surveillance Program

Value in Surveillance Program

Value in Surveillance Program

Mosquito Community Composition

Parameter

Mosquito Community Composition

Diversity of species in the area

Information Provided

Diversity of species in the area

Documents the presence of competent vector species in the area

Value in Surveillance Program

Documents the presence of competent vector species in the area

Mosquito Population Density

Parameter

Mosquito Population Density

Relative abundance of mosquito species in terms of trapping effort

Information Provided

Relative abundance of mosquito species in terms of trapping effort

Quantifies the number of individuals of each mosquito species at a given point in time, particularly important for key vector species

Value in Surveillance Program

Quantifies the number of individuals of each mosquito species at a given point in time, particularly important for key vector species

Infection Rate of Virus in Mosquito Population

Parameter

Infection Rate of Virus in Mosquito Population

Proportion of the mosquito population carrying evidence of the disease agent

Information Provided

Proportion of the mosquito population carrying evidence of the disease agent

Quantifies incidence of infected and potentially infectious mosquitoes in the key vector population. Demonstrates if important bridge vectors are involved

Value in Surveillance Program

Quantifies incidence of infected and potentially infectious mosquitoes in the key vector population. Demonstrates if important bridge vectors are involved

Vector Index

To express the arbovirus transmission risk posed by a vector population adequately, information from all three parameters (vector species presence, vector species density, vector species infection rate) must be considered. The VI combines all three of the parameters quantified through standard mosquito surveillance procedures in a single value (Gujaral et al. 2007, Bolling et al. 2009, Jones et al. 2011, Kwan et al. 2012, Colborn et al. 2013 in press). The VI is simply the estimated average number of infected mosquitoes collected per trap night summed for the key vector species in the area. Summing the VI for the key vector species incorporates the contribution of more than one species and recognizes the fact that WNV transmission may involve one or more primary vectors and several accessory or bridge vectors in an area.

Deriving the VI from routine mosquito surveillance data

The VI is expressed as:

Vector Index formula

Where:

N = Average Density

(number per trap night for a given species)

P=EstimatedInfectionRate

(proportion of the mosquito population WNV positive)

Calculating the VI in an area where two primary WNV vector species occur:

Step 1: Calculate mosquito density

Trap Site

Trap Site

Cx. tarsalis

Cx. tarsalis

Cx. pipiens

Cx. pipiens

1

1

68

68

21

21

2

2

42

42

63

63

3

3

139

139

49

49

4

4

120

120

31

31

5

5

42

42

12

12

6

6

31

31

57

57

Total

Total

442

442

233

233

Average per Trap Night

Average per Trap Night

74

74

39

39

Standard Deviation

Standard Deviation

41

41

21

21

Trap Site
1
2
3
4
5
6
Total
Average per Trap Night
Standard Deviation
Cx. tarsalis
68
42
139
120
42
31
442
74
41
Cx. pipiens
21
63
49
31
12
57
233
39
21

Step 2: Calculate the WNV infection rate for each species (as a proportion)

Pools Tested for Virus

Pools Tested for Virus

Pools Tested for Virus

Pools Tested for Virus

Pool Number

Pools Tested for Virus

Pool Number

Species

Species

Number in pool

Number in pool

Positives

Positives

1

Pools Tested for Virus

1

Cx. tarsalis

Cx. tarsalis

50

50

0

0

2

Pools Tested for Virus

2

Cx. tarsalis

Cx. tarsalis

50

50

0

0

3

Pools Tested for Virus

3

Cx. tarsalis

Cx. tarsalis

50

50

1

1

4

Pools Tested for Virus

4

Cx. tarsalis

Cx. tarsalis

50

50

0

0

5

Pools Tested for Virus

5

Cx. tarsalis

Cx. tarsalis

50

50

0

0

6

Pools Tested for Virus

6

Cx. tarsalis

Cx. tarsalis

50

50

0

0

7

Pools Tested for Virus

7

Cx. pipiens

Cx. pipiens

50

50

1

1

8

Pools Tested for Virus

8

Cx. pipiens

Cx. pipiens

50

50

0

0

9

Pools Tested for Virus

9

Cx. pipiens

Cx. pipiens

50

50

0

0

10

Pools Tested for Virus

10

Cx. pipiens

Cx. pipiens

50

50

0

0

11

Pools Tested for Virus

11

Cx. pipiens

Cx. pipiens

50

50

0

0

Cx. tarsalis

Infection Rate

Infection Rate

Infection Rate

Lower limit

Lower limit

Lower limit

Upper limit

Upper limit

Upper limit

Confidence interval

Confidence interval

Confidence interval

0.0033

Infection Rate

0.0033

0.0002

Lower limit

0.0002

0.0169

Upper limit

0.0169

0.95

Confidence interval

0.95

Cx. pipiens

Infection Rate

Infection Rate

Infection Rate

Lower limit

Lower limit

Lower limit

Upper limit

Upper limit

Upper limit

Confidence interval

Confidence interval

Confidence interval

0.0040

Infection Rate

0.0040

0.0002

Lower limit

0.0002

0.0206

Upper limit

0.0206

0.95

Confidence interval

0.95

Step 3. Calculate individual species VI values, multiplying the average number per trap night by the proportion infected. Calculate combined VI value by summing the individual species VIs.

VI Calculation

VI Calculation

VI Calculation

Cx. tarsalis

Cx. tarsalis

Cx. tarsalis

Cx. pipiens

Cx. pipiens

Cx. pipiens

Avg / trap night

VI Calculation

Avg / trap night

74

Cx. tarsalis

74

39

Cx. pipiens

39

Proportion infected

VI Calculation

Proportion infected

0.0033

Cx. tarsalis

0.0033

0.004

Cx. pipiens

0.004

VI (individual species)

VI Calculation

VI (individual species)

0.24

Cx. tarsalis

0.24

0.16

Cx. pipiens

0.16

VI (combined)

0.40

References – Vector Index

Bolling BG, Barker CM, Moore CG, Pape WJ, Eisen L. 2009. Seasonal patterns for entomological measures of risk for exposure to Culex vectors and West Nile virus in relation to human disease cases in northeastern Colorado. J Med Entomol. 46(6):1519-31.

Colborn, J.M., K.A. Smith, J. Townsend, D. Damian, R.S. Nasci, J.P. Mutebi. 2013. West Nile Virus Outbreak in Phoenix, Arizona—2010: Entomological Observations and Epidemiological Correlations. J Amer Mosq Control Assoc. In press.

Gujral IB, Zielinski-Gutierrez EC, LeBailly A, Nasci R. 2007. Behavioral risks for West Nile virus disease, northern Colorado, 2003. Emerg Infect Dis. 13(3):419-25.

Jones RC, Weaver KN, Smith S, Blanco C, Flores C, Gibbs K, Markowski D, Mutebi JP. 2011. Use of the vector index and geographic information system to prospectively inform West Nile virus interventions. J Am Mosq Control Assoc 27:315-319.

Kwan JL, Park BK, Carpenter TE, Ngo V, Civen R, Reisen WK. Comparison of enzootic risk measures for predicting West Nile disease, Los Angeles, California, USA, 2004-2010.2012; Emerg Infect Dis.18(8):1298-306.