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Table 12 Last and End Boundary HPD intervals in TS2

From: Modelling medieval masonry construction: taxa-specific and habitat-contingent Bayesian techniques for the interpretation of radiocarbon data from Mortar-Entrapped Relict Limekiln Fuels

Dataset and model specifications

Last HPD intervals and medians/cal AD

End Boundary HPD intervals and medians/cal AD

Agreement Indices

10yrs IAÏ„ /15 dates (MR1a)

Run

68%

95%

median

68%

95%

median

Amodel

Aoverall

Ai < 60%

Exponential prior; no Outlier Model

1

1240–1270

1230–1280

1255

1240–1275

1225–1280

1255

104.1

97.8

0

2

1240–1275

1230–1280

1255

1240–1275

1225–1280

1255

72.3

68.7

3

3

1240–1270

1225–1275

1255

1240–1270

1225–1275

1255

95.9

99.1

2

Exponential prior;

10-year Charcoal Outlier Model

1

1245–1275

1230–1280

1260

1245–1275

1230–1285

1260

104.5

99.5

0

2

1245–1275

1230–1285

1260

1245–1280

1230–1285

1260

76.3

73.1

3

3

1245–1270

1230–1280

1255

1245–1275

1230–1280

1260

98.1

101.5

2

Uniform prior;

default Charcoal Outlier Model

1

1245–1280

1230–1290

1260

1245–1280

1230–1295

1265

96.8

89.9

1

2

1250–1285

1230–1295

1265

1250–1285

1230–1300

1270

85.5

80

3

3

1245–1275

1230–1285

1260

1245–1280

1230–1290

1260

100.1

104.2

2

10yrs IAÏ„ /10 dates (MRR1a)

Run

68%

95%

median

68%

95%

median

Amodel

Aoverall

Ai < 60%

Exponential prior;

no Outlier Model

1

1235–1270

1220–1275

1250

1235–1275

1220–1280

1255

101.8

100.6

0

2

1240–1275

1230–1280

1255

1240–1275

1230–1280

1260

129.8

130.7

0

3

1240–1270

1225–1280

1255

1240–1275

1225–1285

1255

92.8

93

0

Exponential prior;

10-year Charcoal Outlier Model

1

1240–1275

1225–1280

1255

1240–1275

1225–1285

1255

102.8

101.9

0

2

1245–1275

1230–1280

1260

1245–1280

1230–1285

1260

128.7

129.4

0

3

1245–1275

1230–1285

1260

1245–1280

1230–1285

1260

94.9

95.3

0

Uniform prior;

default Charcoal Outlier Model

1

1240–1280

1225–1290

1260

1240–1285

1225–1305

1265

103.2

101.9

0

2

1245–1280

1230–1285

1265

1245–1280

1230–1295

1265

129.3

129.9

0

3

1245–1280

1230–1290

1260

1245–1285

1230–1300

1265

91.7

92.2

1

10yrs IAÏ„ /5 dates (MRRR1a)

Run

68%

95%

median

68%

95%

median

Amodel

Aoverall

Ai < 60%

Exponential prior;

no Outlier Model

1

1235–1275

1220–1280

1255

1235–1285

1220–1315

1260

95.5

95

0

2

1235–1275

1220–1285

1255

1235–1285

1220–1320

1260

93.8

94.6

0

3

1220–1260

1185–1280

1240

1220–1275

1180–1325

1250

104.1

104

0

Exponential prior; 10-year Charcoal Outlier Model

1

1240–1280

1225–1285

1260

1240–1285

1220–1320

1265

96.5

96.2

0

2

1240–1280

1225–1290

1260

1240–1285

1220–1325

1265

95

95.8

0

3

1220–1265

1190–1285

1245

1225–1280

1180–1330

1255

104.6

104.6

0

Uniform prior; default Charcoal Outlier Model

1

1240–1285

1220–1310

1265

1235–1295

1220–1355

1275

97

96.3

0

2

1240–1285

1220–1315

1265

1240–1300

1220–1365

1275

97.3

97.7

0

3

1225–1275

1185–1315

1250

1225–1300

1185–1385

1270

109.4

108.7

0

Dataset and model specifications

Last HPD intervals and medians/ cal AD

End Boundary HPD intervals and medians/cal AD

Agreement indices

50yrs IAÏ„ /15 dates (MR1b)

Run

68%

95%

median

68%

95%

median

Amodel

Aoverall

Ai < 60%

Exponential prior;

no Outlier Model

1

1230–1265

1220–1275

1250

1235–1270

1225–1285

1255

104.5

104.2

0

2

1250–1280

1235–1285

1270

1255–1285

1235–1295

1270

100.8

99.4

0

3

1235–1285

1230–1285

1265

1240–1290

1230–1300

1270

90.9

85.2

0

Exponential prior;

50-year Charcoal Outlier Model

1

1240–1275

1225–1290

1255

1240–1280

1225–1295

1260

103.9

103.4

0

2

1255–1285

1240–1300

1270

1260–1295

1240–1310

1275

99.8

99.7

0

3

1245–1290

1230–1305

1270

1250–1295

1235–1310

1275

90.9

85.9

0

Uniform prior;

default Charcoal Outlier Model

1

1245–1285

1230–1310

1265

1250–1295

1230–1330

1275

99.6

99.1

0

2

1260–1295

1245–1325

1280

1265–1310

1245–1350

1290

98.7

97.9

0

3

1260–1300

1235–1320

1280

1265–1310

1240–1340

1285

95.2

91.4

0

50yrs IAÏ„ /10 dates (MRR1b)

Run

68%

95%

median

68%

95%

median

Amodel

Aoverall

Ai < 60%

Exponential prior;

no Outlier Model

1

1240–1270

1225–1275

1255

1245–1275

1225–1285

1260

121.1

121.3

0

2

1260–1285

1235–1290

1270

1260–1290

1235–1300

1275

98.6

92.7

0

3

1245–1275

1230–1280

1260

1250–1285

1230–1305

1265

92.7

92.1

0

Exponential prior;

50-year Charcoal Outlier Model

1

1245–1275

1225–1285

1260

1245–1280

1225–1295

1265

118.9

118.9

0

2

1260–1295

1235–1305

1275

1260–1300

1240–1315

1280

96.8

92.3

0

3

1250–1280

1235–1295

1265

1250–1290

1235–1315

1275

91.5

90.8

0

Uniform prior;

default Charcoal Outlier Model

1

1245–1285

1225–1305

1265

1245–1290

1225–1320

1270

108.6

108.7

0

2

1260–1300

1235–1320

1280

1260–1310

1235–1340

1285

85.1

80.4

1

3

1250–1295

1235–1340

1275

1255–1315

1240–1380

1290

81.6

79.1

0

50yrs IAÏ„ /5 dates (MRRR1b)

Run

68%

95%

median

68%

95%

median

Amodel

Aoverall

Ai < 60%

Exponential prior;

no Outlier Model

1

1235–1280

1225–1290

1260

1240–1305

1225–1395

1280

96.5

96.5

0

2

1225–1270

1215–1285

1245

1225–1285

1205–1350

1260

103.2

102.8

0

3

1225–1270

1190–1280

1245

1225–1285

1180–1345

1260

100.9

98.3

0

Exponential prior;

50-year Charcoal Outlier Model

1

1245–1290

1225–1315

1270

1245–1320

1225–1410

1290

97

97.1

0

2

1230–1280

1215–1305

1255

1230–1295

1215–1365

1270

105

104.9

0

3

1230–1275

1200–1305

1255

1230–1295

1185–1360

1265

100.8

99.1

0

Uniform Prior/default Charcoal Outlier Model

1

1240–1305

1225–1395

1280

1250–1360

1225–1535

1315

94.6

94.9

0

2

1230–1280

1215–1325

1260

1230–1305

1210–1400

1275

110

108.9

0

3

1225–1280

1185–1340

1260

1225–1320

1185–1435

1280

92.4

91.3

0

Dataset and model specifications

Last HPD intervals and medians/ cal AD

End Boundary HPD intervals and medians/cal AD

Agreement Indices

100yrs IAÏ„ /15 dates (MR1c)

Run

68%

95%

median

68%

95%

median

Amodel

Aoverall

Ai < 60%

Exponential Prior/no Outlier Model

1

1245–1265

1230–1280

1260

1245–1280

1230–1290

1265

100.4

99.9

0

2

1225–1260

1215–1280

1245

1230–1275

1220–1305

1255

102.6

103.2

0

3

1180–1225

1165–1240

1200

1180–1225

1165–1245

1205

85.7

85.4

1

Exponential Prior/100-year Charcoal Outlier Model

1

1250–1285

1235–1295

1265

1250–1290

1235–1305

1270

99.8

99.4

0

2

1230–1280

1220–1310

1255

1240–1290

1225–1330

1270

102.9

103.3

0

3

1185–1235

1170–1260

1215

1190–1240

1170–1265

1215

91.5

91.3

1

Uniform Prior/default Charcoal Outlier Model

1

1255–1290

1235–1315

1275

1260–1300

1240–1335

1280

99.7

99

0

2

1245–1325

1225–1400

1290

1255–1345

1235–1435

1310

100.2

100.2

0

3

1195–1250

1175–1280

1225

1200–1260

1175–1295

1235

99.1

99.2

1

100yrs IAÏ„ /10 dates (MRR1c)

Run

68%

95%

median

68%

95%

median

Amodel

Aoverall

Ai < 60%

Exponential Prior/no Outlier Model

1

1220–1260

1195–1280

1240

1225–1280

1190–1315

1255

101.4

100.3

0

2

1205–1250

1180–1270

1225

1210–1265

1180–1290

1235

94.6

96.5

0

3

1225–1265

1215–1280

1245

1230–1270

1210–1300

1250

100.6

98.3

0

Exponential Prior/100-year Charcoal Outlier Model

1

1225–1275

1200–1310

1250

1230–1295

1205–1340

1265

101.8

100.9

0

2

1215–1270

1185–1295

1240

1220–1280

1190–1315

1250

97.4

98.8

0

3

1230–1275

1215–1300

1255

1235–1280

1215–1315

1260

99.9

98.1

0

Uniform Prior/default Charcoal Outlier Model

1

1230–1295

1210–1370

1270

1240–1330

1215–1425

1290

102.1

101.6

0

2

1225–1290

1195–1345

1260

1230–1310

1195–1385

1275

99.6

100.3

0

3

1235–1285

1215–1330

1265

1240–1300

1215–1365

1275

84.4

84.1

1

100yrs IAÏ„ /5 dates (MRRR1c)

Run

68%

95%

median

68%

95%

median

Amodel

Aoverall

Ai < 60%

Exponential Prior/no Outlier Model

1

1180–1235

1170–1265

1215

1185–1260

1165–1320

1225

86.6

86.4

0

2

1185–1260

1175–1270

1220

1190–1265

1170–1315

1230

97.9

98.2

0

3

1230–1295

1220–1305

1275

1240–1360

1225–1550

1310

100.1

100.4

0

Exponential Prior/100-year Charcoal Outlier Model

1

1195–1260

1170–1295

1225

1190–1275

1165–1350

1240

90.6

90.8

0

2

1205–1270

1175–1295

1235

1205–1285

1175–1340

1245

99.9

100.2

0

3

1235–1310

1220–1385

1285

1255–1385

1230–1570

1330

100.6

100.9

0

Uniform Prior/default Charcoal Outlier Model

1

1190–1260

1165–1310

1225

1190–1285

1165–1400

1245

87.8

87.3

0

2

1200–1270

1170–1315

1235

1195–1290

1170–1405

1255

93.1

94.6

0

3

1250–1380

1220–1520

1305

1270–1485

1235–1855

1390

99.5

99.6

0

Dataset and model specifications

Last HPD intervals and medians/ cal AD

End Boundary HPD intervals and medians/cal AD

Agreement indices

200yrs IAÏ„ /15 dates (MR1d)

Run

68%

95%

median

68%

95%

median

Amodel

Aoverall

Ai < 60%

Exponential Prior/no Outlier Model

1

1070–1220

1060–1230

1175

1075–1235

1065–1250

1185

76.2

76.3

1

2

1220–1260

1215–1280

1245

1225–1275

1220–1300

1255

100.3

102.9

1

3

1215–1260

1190–1275

1235

1220–1280

1185–1315

1250

98.6

99.3

0

Exponential Prior/200-year Charcoal Outlier Model

1

1095–1255

1070–1270

1195

1090–1265

1070–1285

1205

80.3

80.1

1

2

1230–1280

1220–1310

1255

1235–1290

1225–1325

1265

103.1

105.3

0

3

1220–1270

1190–1300

1245

1225–1290

1200–1340

1260

99.8

100.2

0

Uniform Prior/default Charcoal Outlier Model

1

1175–1255

1115–1305

1215

1185–1280

1110–1340

1235

84.5

83.1

0

2

1245–1315

1230–1370

1285

1245–1320

1230–1385

1290

108.3

109.8

0

3

1245–1360

1215–1490

1310

1245–1385

1215–1545

1325

100.7

100.8

0

200yrs IAÏ„ /10 dates (MRR1d)

Run

68%

95%

median

68%

95%

median

Amodel

Aoverall

Ai < 60%

Exponential Prior/no Outlier Model

1

1075–1220

1070–1220

1165

1075–1225

1065–1235

1175

92

90.4

0

2

1220–1260

1195–1275

1240

1220–1280

1190–1320

1255

98.8

97.9

0

3

1220–1265

1200–1280

1240

1225–1290

1190–1355

1265

99.6

98.7

0

Exponential Prior/200-year Charcoal Outlier Model

1

1135–1230

1070–1245

1180

1135–1240

1070–1260

1185

93.8

92.4

0

2

1220–1275

1195–1325

1255

1230–1300

1205–1350

1270

99.2

98.6

0

3

1225–1280

1195–1330

1255

1235–1310

1205–1385

1275

99.4

98.8

0

Uniform Prior/default Charcoal Outlier Model

1

1145–1245

1075–1275

1195

1150–1270

1075–1310

1205

92.4

91.2

0

2

1235–1315

1205–1395

1275

1245–1340

1210–1445

1295

97.8

97.4

0

3

1225–1285

1205–1360

1260

1245–1365

1215–1520

1315

99.5

99.3

0

200yrs IAÏ„ /5 dates (MRRR1d)

Run

68%

95%

median

68%

95%

median

Amodel

Aoverall

Ai < 60%

Exponential Prior/no Outlier Model

1

1175–1255

1160–1270

1210

1185–1335

1125–1605

1270

99.6

99.3

0

2

1220–1275

1200–1285

1245

1225–1330

1190–1525

1290

96.2

96.4

0

3

990–1095

990–1150

1035

1000–1135

990–1325

1080

98.9

99

0

Exponential Prior/200-year Charcoal Outlier Model

1

1180–1270

1155–1400

1235

1200–1370

1160–1650

1300

99.7

99.5

0

2

1225–1290

1200–1395

1265

1235–1370

1205–1560

1310

97.2

97.3

0

3

995–1115

990–1200

1060

1015–1175

995–1345

1105

99.6

99.7

0

Uniform Prior/default Charcoal Outlier Model

1

1180–1335

1155–1620

1245

1210–1520

1165–2050

1385

99

98.8

0

2

1225–1320

1210–1455

1285

1245–1425

1210–1740

1345

96.8

96.9

0

3

1020–1150

990–1265

1085

1030–1230

995–1545

1155

98.4

98.5

0

Dataset and model specifications

Last HPD intervals and medians/ cal AD

End Boundary HPD intervals and medians/cal AD

Agreement indices

500yrs IAÏ„ /15 dates (MR1e)

Run

68%

95%

median

68%

95%

median

Amodel

Aoverall

Ai < 60%

Exponential Prior/no Outlier Model

1

1155–1220

1070–1235

1180

1160–1260

1080–1315

1205

95.6

96.1

0

2

1220–1280

1180–1290

1245

1230–1325

1210–1445

1285

97.6

97.7

0

3

1180–1245

1165–1270

1250

1195–1285

1170–1370

1250

97.3

97.2

0

Exponential Prior/500-year Charcoal Outlier Model

1

1155–1240

1085–1285

1195

1170–1280

1100–1355

1225

96.3

96.8

0

2

1225–1305

1205–1435

1275

1240–1375

1220–1510

1320

98.5

98.5

0

3

1190–1270

1160–1340

1235

1205–1315

1175–1420

1270

97.7

97.7

0

Uniform Prior/default Charcoal Outlier Model

1

1190–1375

1130–1560

1295

1210–1440

1125–1655

1335

97.6

97.7

0

2

1225–1460

1215–1730

1365

1280–1610

1235–1955

1475

99.2

99.1

0

3

1195–1290

1170–1430

1255

1230–1500

1185–1815

1385

98.1

98.1

0

500yrs IAÏ„ /10 dates (MRR1e)

Run

68%

95%

median

68%

95%

median

Amodel

Aoverall

Ai < 60%

Exponential Prior/no Outlier Model

1

1075–1180

1060–1215

1135

1105–1230

1060–1330

1175

105

104.8

0

2

1175–1255

1165–1265

1215

1195–1300

1165–1435

1255

101.8

101.6

0

3

1170–1230

1130–1275

1205

1185–1295

1095–1430

1245

100

99.2

0

Exponential Prior/500-year Charcoal Outlier Model

1

1100–1210

1055–1275

1160

1115–1265

1070–1385

1200

104.5

104.3

0

2

1190–1265

1165–1330

1230

1205–1330

1170–1470

1275

101.6

101.4

0

3

1175–1270

1075–1420

1230

1195–1345

1145–1515

1275

99.6

99

0

Uniform Prior/default Charcoal Outlier Model

1

1120–1230

1065–1370

1180

1150–1500

1090–1980

1350

101.4

101.4

0

2

1180–1295

1160–1525

1250

1215–1490

1180–1870

1375

99.1

99.1

0

3

1180–1285

1160–1405

1245

1215–1440

1170–1735

1350

99.8

99.6

0

500yrs IAÏ„ /5 dates (MRRR1e)

Run

68%

95%

median

68%

95%

median

Amodel

Aoverall

Ai < 60%

Exponential Prior/no Outlier Model

1

1050–1225

1040–1265

1180

1075–1495

1050–2100

1325

97.1

97.1

0

2

1155–1220

1060–1230

1180

1150–1455

1065–1985

1305

98.5

98.4

0

3

1080–1155

1030–1170

1115

1080–1280

1035–1605

1190

100.3

100.2

0

Exponential Prior/500-year Charcoal Outlier Model

1

1055–1260

1045–1370

1200

1140–1555

1055–2115

1365

97.4

97.4

0

2

1135–1260

1055–1430

1205

1165–1515

1080–2050

1355

98.7

98.6

0

3

1075–1190

1030–1325

1140

1100–1330

1045–1660

1230

100.1

100.1

0

Uniform Prior/default Charcoal Outlier Model

1

1055–1285

1040–1505

1210

1160–1790

1070–3010

1505

97.6

97.6

0

2

1130–1345

1060–1650

1230

1180–1805

1125–2990

1535

98.5

98.5

0

3

1075–1220

1030–1420

1155

1110–1465

1050–2025

1310

99.8

99.8

0

  1. All HPD intervals and medians are rounded out to 5 years. Inaccurate date ranges (not including the true event date of 1250 AD) are presented in bold emphasis