<p> Supplementary Table 1: Patients with chronic kidney disease only</p><p>A: Multivariable regression model for *LncPP (no adjustment for brachial blood pressure)</p><p>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</p><p>B: Multivariable regression model for *LncPP (adjusted for brachial pulse and mean arterial pressure)</p><p>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</p><p>C: Stepwise change in multivariate regression model R2 for LncPP (from Supplementry Table 1B).</p><p>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</p><p>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</p><p>A: Multivariable regression model for *LncPP (no adjustment for brachial blood pressure)</p><p>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</p><p>B: Multivariable regression model for *LncPP (adjusted for brachial pulse and mean arterial pressure)</p><p>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</p><p>C: Stepwise change in multivariable model R2 (from Supplementary Table 2B).</p><p>Variable Model R2 LnpPP 0.623 LnpPP + AIx 0.841 LnpPP + AIx + MAP 0.852 LnpPP + AIx + MAP + Heart rate 0.861</p><p>Abbreviation: LncPP, natural log-transformed central pulse pressure; LnpPP, natural log-transformed peripheral blood pressure; Aix: augmentation index; MAP, mean arterial pressure.</p>