To generate the plots for each section of the paper “Structural Causal Models for Extremes: An Approach Based on Exponent Measures” (https://arxiv.org/abs/2508.00223 ), please run the corresponding R scripts in the order specified below.

Section 4.1:

Section4.1_simulation_studies.R

Section4.1_simulation_studies_results_visualize.R

Left plot in Section 4.2 (ancestral violation rate for river discharge data):

Section4.2_AVR_River_discharge_data.R

Section4.2_AVR_River_discharge_data_result_visualize.R

Right plot in Section 4.2 (pairwise causal direction identification error rate for river discharge data):

Section4.2_pairwise_River_discharge_data.R

Section4.2_pairwise_River_discharge_data_results_visualize.R

Section 4.3:

Section4.3_pairwise_datasets.R

Section4.3_pairwise_datasets_result_visualize.R