Supplementary Table 1: Patients with Chronic Kidney Disease Only

Supplementary Table 1: Patients with chronic kidney disease only

A: Multivariable regression model for *LncPP (no adjustment for brachial blood pressure)

Variable Estimate (Std Err) p value Age (/10 years) 0.10 (0.01) <0.001 Heart rate (beats/min) -0.07 (0.01) <0.001 Gender (male) -0.18 (0.03) <0.001 Estimated GFR (ml/min/1.73m2) -0.02 (0.01) 0.01

B: Multivariable regression model for *LncPP (adjusted for brachial pulse and mean arterial pressure)

Variable Estimate (Std Err) p value LnpPP (mmHg) 0.97 (0.02) <0.001 AIx (%) 0.01 (0.00) <0.001 Mean arterial pressure (/10 mmHg) 0.02 (0.00) <0.001 Age (/10 years) 0.01 (0.00) 0.003 Haemoglobin -0.01 (0.00) 0.007 Heart rate (10 beats/min) -0.01 (0.00) 0.007

C: Stepwise change in multivariate regression model R2 for LncPP (from Supplementry Table 1B).

Variable Model R2 LnpPP 0.828 LnpPP + AIx 0.932 LnpPP + AIx + MAP 0.939 LnpPP + AIx + MAP + Age 0.940 LnpPP + AIx + MAP + Age + Hb 0.941 LnpPP + AIx + MAP + Age + Hb + Heart rate 0.942

Abbreviation: LncPP: natural log-transformed central pulse pressure; LnpPP: natural log-transformed peripheral pulse pressure; AIx: augmentation index; MAP: mean arterial pressure; Hb: Haemoglobin Supplementary Table 2: Renal transplant recipients only

A: Multivariable regression model for *LncPP (no adjustment for brachial blood pressure)

Variable Estimate (Std Err) p value Age (/10 years) 0.09 (0.01) <0.001 Heart rate (beats/min) -0.09 (0.01) <0.001 Height -0.07 (0.02) <0.001

B: Multivariable regression model for *LncPP (adjusted for brachial pulse and mean arterial pressure)

Variable Estimate (Std Err) p value LnpPP (mmHg) 0.86 (0.03) <0.001 AIx (%) 0.01 (0.00) <0.001 Mean arterial pressure (10 mmHg) 0.04 (0.01) <0.001 Heart rate (10 beats/min) -0.03 (0.01) <0.001

C: Stepwise change in multivariable model R2 (from Supplementary Table 2B).

Variable Model R2 LnpPP 0.623 LnpPP + AIx 0.841 LnpPP + AIx + MAP 0.852 LnpPP + AIx + MAP + Heart rate 0.861

Abbreviation: LncPP, natural log-transformed central pulse pressure; LnpPP, natural log-transformed peripheral blood pressure; Aix: augmentation index; MAP, mean arterial pressure.