Table 2 Various logistic regression models fitted during the stepwise selection process

4.1

π_ij = 1 + b_i

4.2

π_ij = h(f(j) + b_i)

4.3

π_ij = h(β_{0 ecoregion i} + f_i(j) + b_i)

4.4

π_ij = h(β_{0 ecoregion i} + f_{ecoregion i}(j) + b_i)

4.5

π_ij = h(β_{0 ecoregion i} + f_{ecoregion i}(j) + β₁pesticide_ij + b_i)

4.6

π_ij = h(β_{0 ecoregion i} + f_{ecoregion i}(j) + β₁pesticide_ij + f₁(prec_pupa_ij) + b_i)

4.7

π_ij = h(β_{0 ecoregion i} + f_{ecoregion i}(j) + β₁pesticide_ij + f₁(prec_pupa_ij) + f₂(tmin_imago_ij) + b_i)