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Table 2 Suite of models considered in Stage 1 to estimate probability of hematozoa infection (Ψ) and probability of detecting hematozoa mtDNA (p)

From: Detection, prevalence, and transmission of avian hematozoa in waterfowl at the Arctic/sub-Arctic interface: co-infections, viral interactions, and sources of variation

Model

K

Model description

(.)

1

pr (infection) does not vary

month

3

pr (infection) varies by month (May, June, August)

May models (17 May – 27 May)

 sex

2

pr (infection) varies during May by sex

 species

4

pr (infection) varies during May by species (MALL, NOPI, AMWI, LESC)

 species + sex

5

pr (infection) varies during May by species and by sex to the same degree for all species

June models (10 July – 19 June)

 sex

2

pr (infection) varies during June by sex

 species

3

pr (infection) varies during June by species (MALL, NOPI, AMWI)

 species + sex

4

pr (infection) varies during June by species and by sex to the same degree for all species

August models (28 July – 20 August)a

 age

2

pr (infection) varies during August by age (adult, juvenile)

 sex

2

pr (infection) varies during August by sex

 age + sex

3

pr (infection) varies during August by age and by sex to the same degree for both age classes

 age * sex

4

pr (infection) varies during August by each age and sex class

 (ad * sex) + (juv)

3

pr (infection) varies during August by age and by sex for adult birds

 species

3

pr (infection) varies during August by species (MALL, NOPI, AGWT)

 species * age

6

pr (infection) varies during August by species and age

 species + age

4

pr (infection) varies during August by species and by age to the same degree for all species

 species * sex

6

pr (infection) varies during August by species and sex

 species + sex

4

pr (infection) varies during August by species and by sex to the same degree for all species

 species * age + sex

7

pr (infection) varies during August by species and age, and by sex to the same degree for all species

 species * sex + age

7

pr (infection) varies during August by species and sex, and by age to the same degree for all species

 species * age * sex

12

pr (infection) varies during August by species, age, and sex

 (ad * species * sex) + (juv * species)

9

pr (infection) varies during August by species and by sex for adult birds

August temporal trend models

  + day

1

pr (infection) during August varies in a linear trend with a single slope for all sources of variation

  + day * ageb

2

pr (infection) during August varies in a linear trend with a unique slope for each age class

 * day

2+

pr (infection) during August varies in a linear trend with a unique slope for each source of variation

  1. This suite of models was considered independently for each of three hematozoa genera (Leucocytozoon, Haemoproteus, Plasmodium). K = number of model parameters applicable only to modeling of Ψ or p in a given month and is not representative of the total number of model parameters. Age of birds was either after-hatch-year (adult) or hatch-year (juvenile). Species abbreviations: AGWT American green-winged teal, AMWI American wigeon, LESC lesser scaup, MALL mallard, NOPI northern pintail
  2. aAugust models were considered alone, with the additive temporal trend (+ day), with the temporal trend varying by age (+ day * age), and with the multiplicative temporal trend (* day)
  3. bModel structure was applied only to August models containing variation in age