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Table 3 Candidate set of generalised linear mixed models used to investigate the relationship between mean first-passage time (mFPTRmax) and environmental variables of Egyptian Geese and Red-billed Teal. Individual birds (ID) were added as a random effect to all models. See Table 2 and text in Methods for derivation of environmental predictor variables

From: Exploring the environmental drivers of waterfowl movement in arid landscapes using first-passage time analysis

Model

Model formula

1

Food quantity

mFPTRmax ~ NDVIt + (1|ID)

2

Food quality (16 day)

mFPTRmax ~ ΔNDVI t-16 + (1|ID)

3

Food quality (32 day)

mFPTRmax ~ ΔNDVI t-32 + (1|ID)

4

Wetland cover

mFPTRmax ~ mNDWIt + (1|ID)

5

Wetland cover change (16 day)

mFPTRmax ~ ΔmNDWIt-16 + (1|ID)

6

Wetland cover change (32 day)

mFPTRmax ~ ΔmNDWI t-32 + (1|ID)

7

Precipitation

mFPTRmax ~ Precipt + (1|ID)

8

Precipitation (16 day)

mFPTRmax ~ ΔPrecipt-16 + (1|ID)

9

Precipitation (32 day)

mFPTRmax ~ ΔPrecipt-32 + (1|ID)

10

Site

mFPTRmax ~ site + (1|ID)

11

Temperature & elevation

mFPTRmax ~ Temp + Elev + (1|ID)

RM hypothesis:a

12 (16)

Food quantity, wetland cover & precipitation (+ temperature & elevation, site)

mFPTRmax ~ NDVIt + mNDWIt + Precipt + (1|ID)

13 (17)

Food quantity & wetland cover (+ temperature & elevation, site)

mFPTRmax ~ NDVIt + mNDWIt + (1|ID)

14 (18)

Food quantity & precipitation (+ temperature & elevation, site)

mFPTRmax ~ NDVIt + Precipt + (1|ID)

15 (19)

Wetland cover & precipitation (+ temperature & elevation, site)

mFPTRmax ~ mNDWIt + Precipt + (1|ID)

PM hypothesis:b

20 (24)

16 day Lag

Change in food quality, wetland cover & precipitation (+ site)

mFPTRmax ~ ΔNDVI t-16 + ΔmNDWI t-16 + ΔPrecipt-16 + (1|ID)

21 (25)

Change in food quality & wetland cover (+ site)

mFPTRmax ~ ΔNDVI t-16 + ΔmNDWI t-16 + (1|ID)

22 (26)

Change in food quality & precipitation (+ site)

mFPTRmax ~ ΔNDVI t-16 + ΔPrecipt-16 + (1|ID)

23 (27)

Change in wetland cover change & precipitation (+ site)

mFPTRmax ~ ΔmNDWI t-16 + ΔPrecipt-16 + (1|ID)

28 (32)

32 day Lag

Change in food quality, wetland cover & precipitation (+ site)

mFPTRmax ~ ΔNDVI t-32 + ΔmNDWI t-32 + ΔPrecipt-32 + (1|ID)

29 (33)

Change in food quality & wetland cover (+ site)

mFPTRmax ~ ΔNDVI t-32 + ΔmNDWI t-32 + (1|ID)

30 (34)

Change in food quality & precipitation (+ site)

mFPTRmax ~ ΔNDVI t-32 + ΔPrecipt-32 + (1|ID)

31 (35)

Change in wetland cover change & precipitation (+ site)

mFPTRmax ~ ΔmNDWI t-32 + ΔPrecipt-32 + (1|ID)

36

Null

mFPTRmax ~ 1 + (1|ID)

  1. RM reactive movement; PM prescient movement
  2. aModels numbers in parentheses comprise of the same set of environmental predictors with extra addition of site, temp and elevation as a predictor variables
  3. bModels numbers in parentheses comprise of the same set of environmental predictors with extra addition of site as a predictor variable