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Figure S1 Response surfaces for simulated species 1.

Figure S2 Fitted values for simulated species 2.

Figure S3 Response surfaces for simulated species 3.

Figure S4 Environmental scatterplots for black grouse occurrences.

Figure S5 Inflated response curves of GAM for black grouse occurrence.

Figure S6 Inflated response curves of BRT for black grouse occurrence.

Figure S7 Fitted values for black grouse occurrence.

Appendix S1 Code for simulated data and visualisation tools.

Appendix S2 Supporting information for simulated data example.

Appendix S3 Method descriptions for visualisation tools.

Appendix S4 Supporting information for Swiss black grouse example.

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