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Table 4 Zonal ARIMAX models’ variables, parameters and forecasts

From: Remotely-sensed, nocturnal, dew point correlates with malaria transmission in Southern Province, Zambia: a time-series study

Model and parameters ( p,d,q)

AIC-fit

MAE-test

High-ARIMAX( 6,1,5)

13.34

6.4%

Medium-ARIMAX (4,0,3)

80.61

16.2%

Low-ARIMAX (4,0,4)

137.44

28.6%

High zone variables

Coefficient

p-value

L7 DWP

0.033

p < 0.01

L7 LST

0.14

p < 0.001

L5 NDVI

0.83

p = 0.19

L7 NDVI

1.38

p < 0.01

Medium zone variables

Coefficient

p-value

L5 DWP

0.076

p < 0.001

L8 NDVI

3.51

p < 0.001

Low zone variables

Coefficient

p-value

L3 LST

0.024

p = 0.348

L8 NDVI

3.79

p < 0.001

L5 DWP

0.073

p < 0.001

Forecast w37-41 2013

MAE

Predicted vs. actual incidence

HIGH-ARIMAX

-29.40%

63.0 vs. 89.9

MEDIUM-ARIMAX

40.27%

3.77 vs. 3.48

LOW-ARIMAX*

-29.59%

0.91 vs. 1.48

  1. Akaike’s information criteria (AIC) and mean average prediction error (MAE) are shown for the best-fit models of the high-, medium- and low-transmission zone ARIMAX models. MAE is calculated for the testing period of the models, i e, 2011 w19 through 2012 w18. Normalized differentiated vegetation index (NDVI), nocturnal land-surface temperature (LST) and nocturnal dew point (DWP) are shown with specific lag-times with its coefficients as well as p-values. Four-week forecasts MAE and predicted cases vs. actual cases for the four weekly forecasts of the zonal models are shown.
  2. *ARIMAX LOW forecast only three weeks ahead, due to using LST lagged at three weeks.