Table 1 Modified distance sampling models fitted to data of reported malaria cases at health centres in Komoé district, Burkina Faso

\(g\left( d \right) = { \exp }\left( {a_{0} + a_{1} d^{c} } \right)\)

14.77 (12.24/20.43)

9.17 (7.04/14.25)

–

–

0.18 (0.14/0.24)

3047.361

0.00

75.0%

0.70

\(g\left( {d,A} \right) = { \exp }\left( {a_{0} + a_{1} d^{c} + a_{2} A + a_{3} Ad} \right)\)

14.02 (11.86/19.09)

8.36 (6.64/12.90)

-8.02 × 10⁻³ (−1.95 × 10⁻²/3.48 × 10⁻³)

2.12 × 10⁻⁴ (−2.82 × 10⁻⁴/6.39 × 10⁻⁴)

0.20 (0.15/0.26)

3050.229

2.87

73.7%

0.69

\(g\left( {d,S} \right) = { \exp }\left( {a_{0} + a_{1} d^{c} + a_{2} S + a_{3} Sd} \right)\)

15.47 (12.39/25.68)

9.81 (7.19/17.53)

−0.08 (−0.42/0.26)

−6.44 × 10⁻⁴ (−0.01/0.01)

0.19 (0.11/0.24)

3051.809

4.45

74.7%

0.69

\(g\left( {d,S} \right) = { \exp }\left( {a_{0} + a_{1} d^{c} + a_{2} R + a_{3} Rd} \right)\)

18.12 (15.80/23.59)

12.35 (8.37/22.54)

−0.10 (−0.51/0.29)

−8.71 × 10⁻³ (−0.02/0.01)

0.16 (0.10/0.23)

3048.16

0.80

74.0%

0.69