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Understanding Inter-settlement Visibility in Iron Age and Roman Southern Spain with Exponential Random Graph Models for Visibility Networks

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Abstract

Long-term changes in visibility patterns between urban settlements are considered an important factor for understanding Iron Age II settlement locations in Southern Spain. From some settlements, the surrounding landscape and other settlements could be visually controlled, and some settlements are argued to be intervisible to allow for communication through visual signals. However, the study of how these visibility patterns changed in the subsequent Roman period in this region is largely ignored. In this paper, we argue that visibility might still have structured interactions between communities in Roman times and should not be dismissed out of hand merely because more and other data sources are available as compared to the Iron Age. However, the way in which it affected human behaviour might have been different in Roman times as compared to the Iron Age. We argue that simulating archaeologists’ hypotheses about the emergence of inter-settlement visibility is a promising way of understanding such differences. To do this, we use exponential random graph modelling (ERGM), a statistical network simulation modelling technique that allows us to simulate hypotheses about the emergence and long-term change of visibility networks. We combine this approach with an exploratory analysis of the observed visibility networks between identified urban settlements, which will reveal similarities and differences in the changing patterns of visibility networks through time. The results of the ERGMs are then compared with the changes in the observed network structure. We conclude that our knowledge of the changes from the Iron Age II to the Roman settlement pattern suggests only gradual changes in the role of visibility in structuring inter-settlement interactions, possibly followed by a disintegration of the visibility network after the Roman Early Imperial period.

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Notes

  1. Appendix B presents the results of the local exploratory network measures.

  2. The results presented in this section only take into account pairs of nodes that are connected and do not include the many isolated nodes dated to these periods (see Fig. 11). This affects the normalised and averaged results as well as the density and clustering coefficient (note that network density including isolates is also included in the tables). This decision was made to enhance the differences between these measures and to focus this first step of the analysis explicitly on the lines of sight that are present. Isolates are included in the local exploratory network analysis and the ERGMs.

  3. By using the directed density results of the observed networks, it was ensured that all randomly simulated networks have the same directed density, and therefore the same number of nodes and arcs, as the observed networks (although small variations in the number of arcs were allowed due to rounding the density score to four decimal places).

  4. The number of simulations was taken as high as 50 million to have a higher diversity in the distribution of results, which led in most cases to better fits than when only one million simulations were performed. However, the number of samples taken from these simulations (and on the basis of which the significance tests were performed) was not increased beyond the default 1,000 to avoid enforcing significant results.

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Acknowledgments

The ‘Urban Connectivity in Iron Age and Roman Southern Spain’ project directed by Prof. Simon Keay and Dr. Graeme Earl was funded by the UK Arts and Humanities Research Council (AHRC) between 2002 and 2005 with subsequent support by the University of Southampton and institutions in Seville, notably the Departamento de Prehistoria I Arqueología de la Universidad de Sevilla and the Delegación de Cultura de la Junta de Andalucía. We would like to thank Cat Cooper for help with the maps, Leticia López Mondéjar for bibliographical suggestions, Matt Peeples for suggestions concerning sensitivity analyses, Iza Romanowska, Mari Carmen Moreno Escobar, Viviana Amati, two peer reviewers and the editors of this special issue for helpful comments on different versions of the manuscript, Pablo Garrido González for expert advice on the study area and Dave Wheatley for his ArcGIS Python script.

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Correspondence to Tom Brughmans.

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Appendices

Appendices

Appendix A. Sites index: dates, urban status, location, road and river networks

  1. 1.

    All 190 sites included in this case study in alphabetical order

The project IDs mentioned here are used in Fig. 2. The ‘municipality’ column lists the modern municipalities in which the sites are located. The urban status and ancient names of sites are provided when known. This list of urban status and ancient names was derived from Keay (1998b), Appendix II, with minor updates and changes. The last five columns show whether we have evidence to believe a site was occupied during a certain period (indicated by ‘1’) or not (indicated by ‘0’)

Site name

Project ID

Municipality

Urban status

Ancient name

Iberian

Republican

Early Imperial

Middle Imperial

Late Imperial

Alamillo

2

Osuna

  

1

1

1

1

1

Alcalá del Rio

4

Alcalá del Rio

Municipium

Ilipa Magna

1

1

1

1

1

Alcalá Morisco

5

Osuna

  

0

1

1

1

1

Alcaudete

6

Carmona

  

1

1

0

0

0

Alcolea del Rio

7

Alcolea del Rio

Municipium Flavium

Canama

1

1

1

1

1

Almadén de la Plata

9

Almadén de la Plata

  

0

0

1

1

0

Almodovar del Rio

308

Almodovar del Rio

 

Carbula

     

Aparicio el Grande

11

Gilena

 

Unknown

0

0

1

1

1

Arcos de la Frontera

436

Arcos de la Frontera

 

Saudo (temporary)

1

1

1

1

1

Atalaya de la Moranilla

14

Écija

  

1

1

1

1

1

Aznalcazar

15

Aznalcazar

 

Olontigi

1

1

1

1

1

Bonanza

433

Sanlúcar de Barrameda

 

Lux Dubia (temporary)

0

0

1

0

0

Cagancha

286

Marchena

  

1

1

0

0

0

Cañada Real de Morón (IX)

18

Alcala de Guadaira

  

1

0

0

0

0

Cañada Real de Morón (VII)

19

Alcala de Guadaira

  

1

0

0

0

0

Cañada Real de Morón (VIII)

20

Alcala de Guadaira

  

1

0

0

0

0

Cañada Real de Morón (XII)

21

Alcala de Guadaira

  

1

0

0

0

0

Cantillana

23

Cantillana

Municipium Flavium

Naeva

1

1

1

1

1

Capaparda

24

Osuna

  

1

1

1

1

1

Carmona

25

Carmona

 

Carmo

1

1

1

1

1

Casablanca

28

Utrera

  

1

1

1

1

1

Casilla de Barrera

30

Écija

  

1

1

1

0

0

Castillo de Alhonoz

34

Écija

  

1

1

0

0

0

Castillo de la Monclova

153

Fuentes de Andalucia

Municipium Flavium

Obulcula

1

1

1

1

1

Castillo de Lora

171

Lora del Rio

Municipium Flavium

Axati

1

1

1

1

1

Castillo de Luna

278

Aznalcollar

  

1

1

1

0

0

Castillo de Mulva

35

Villanueva del Rio y Minas

Municipium Flavium

Munigua

1

1

1

1

0

Casulillas

36

Arahal (el)

  

1

1

1

1

1

Cerro Barrero (I)

39

Fuentes de Andalucia

  

1

0

0

0

0

Cerro Barrero (II)

40

Fuentes de Andalucia

  

1

1

0

0

0

Cerro de Atalaya

41

Campana (la)

  

1

1

1

1

1

Cerro de la Cabeza

42

Santiponce

  

1

0

0

0

0

Cerro de la Higuera

43

Estepa

  

0

0

1

1

1

Cerro de las Cabezas

46

Osuna

  

1

1

1

1

1

Cerro de las Cabezas (Sobarbina)

233

Olivares

 

Laelia

1

0

1

1

1

Cerro de las Catorce

47

Osuna

  

1

1

0

0

0

Cerro de las Vacas

48

Lebrija

 

Conobaria

1

1

1

1

1

Cerro de los Ladrillos

50

Arahal (el)

  

0

0

1

1

1

Cerro de los Villares

51

Estepa

  

0

0

1

1

1

Cerro del Bollo

303

Utrera

 

Unknown

1

1

1

1

1

Cerro del Calvario

56

Osuna

  

1

0

0

0

0

Cerro del Castillo (Gerena)

58

Gerena

  

1

1

1

0

0

Cerro del Cincho

59

Carmona

Municipium Flavium

Basilippo

1

1

1

1

0

Cerro del Manzano

60

Osuna

  

1

0

0

0

0

Cerro del Orégano

293

Marchena

  

1

1

1

1

1

Cerro del Pascualejo

259

Écija

  

1

1

1

1

1

Cerro del Tesoro

61

Luisiana (la) or Ecija??

  

1

1

1

1

1

Cerro Duran

62

Rubio (el)

  

1

1

1

1

1

Cerro Esperilla

432

Espera

 

Cappa

     

Cerro Gordo

63

Gilena

  

1

0

0

0

0

Cerro Macareno

64

Rinconada (la)

  

1

1

0

0

0

Cerro Rubio

65

Fuentes de Andalucia

  

1

1

1

1

1

Cerros de San Ignacio

287

Marchena

  

1

1

1

0

0

Chiclana (II)

68

Écija

  

1

1

1

1

0

Clarebout II

299

Marchena

  

1

1

1

0

0

Constantina

304

Constantina

 

Iporca

0

0

1

0

0

Consuegra

10

Osuna

 

Munda

1

1

1

1

0

Córdoba (II)

70

Carmona

  

1

1

1

1

1

Coria del Rio

71

Coria del Rio

 

Caura

1

1

1

1

1

Cortijo Cabeza Del Sordo

72

Alcala de Guadaira

  

1

1

1

0

0

Cortijo de Alcofría

73

Écija

  

0

0

1

0

0

Cortijo de Carija (Bornos)

431

Espera

Municipium

Caris(s)a Aurelia

     

Cortijo de Casablanca

444

Arcos de la Frontera

 

Lacca (temporary)

     

Cortijo de los Cosmes

75

Écija

Municipium Flavium

Carruca

1

1

1

1

0

Cortijo de los Olivos (VII)

76

Carmona

  

1

1

1

1

1

Cortijo de Repla

78

Corrales (los)

Municipium Flavium

Ilipula Minor

1

1

1

1

1

Cortijo de Torneji Viejo

79

Carmona

  

1

1

1

1

1

Cortijo del Cerro

80

Carmona

  

1

1

1

1

1

Cortijo del Membrillo

301

Lora del Rio

       

Cortijo Escalera

82

Fuentes de Andalucia

  

1

1

1

1

1

Cortijo Nuevo

83

Écija

  

1

1

1

1

1

Cortijos del Cerro (II)

84

Carmona

  

1

1

1

0

0

Cuevalonga (III)

85

Carmona

  

1

1

1

1

1

Dehesa de las Majadilas

86

Alcala de Guadaira

  

1

0

0

0

0

Doña Mencia

261

Écija

  

1

1

1

1

1

Donadio (II)

89

Fuentes de Andalucia

  

1

1

1

1

1

Écija

91

Écija

Colonia

Colonia Augusta Firma Astigi

1

1

1

1

1

El Arenal (II)

94

Fuentes de Andalucia

  

1

0

0

0

0

El Batán

262

Écija

  

1

1

1

1

0

El Casar

95

Utrera

Municipium Flavium

Salpensa

1

1

1

1

1

El Castillejo (Arva)

96

Alcolea del Rio

Municipium Flavium

Arva

1

1

1

1

1

El Castillejo (Écija)

263

Écija

  

1

1

1

1

1

El Chiste (II)

98

Carmona

  

1

1

1

1

1

El Chiste (V)

99

Carmona

  

1

1

1

1

1

El Gandul

103

Alcala de Guadaira

 

Irippo

1

1

1

1

1

El Grullo

104

Marchena

  

0

0

1

1

1

El Guijo

105

Écija

  

1

1

1

1

1

El Hachillo

106

Lora de Estepa

 

Olaura

0

1

1

1

1

El Mocho

107

Écija

  

0

1

1

1

1

El Molino Pintado

108

Montellano

 

Callenses Aeneanici

1

1

1

1

1

El Nuño

109

Écija

  

1

1

1

1

1

El Palomarejo

201

Écija

  

1

1

1

1

1

El Picate

110

Palma del Rio

  

1

1

1

1

1

El Santo Siervo

264

Écija

  

1

1

1

1

1

El Turruñuelo

116

Peñaflor

  

1

0

0

0

0

El Villar

265

Écija

  

1

1

1

1

1

Ermita de San Antón

118

Écija or Carmona?

  

1

1

1

1

1

Estepa

120

Estepa

Municipium Flavium

Ostippo

1

1

1

1

1

Friíllas

266

Écija

  

1

1

1

1

1

Garrotal

267

Écija

  

1

1

1

1

1

Gerena

122

Gerena

 

Ilse

1

1

1

1

1

Hacienda de Quintos

300

Dos Hermanas

  

0

1

1

1

1

Haza de las Piedras

128

Alcala de Guadaira

  

1

1

1

1

1

Herrera

129

Herrera

  

0

0

0

1

1

Huelva

395

Huelva

 

Onuba

1

1

1

1

1

Huerta del Caño

133

Écija

  

1

1

1

1

1

Isla del Castillo

136

Écija

Municipium Flavium

Segovia

1

1

1

1

1

La Alberquilla

268

Écija

  

0

0

1

1

1

La Alcuza

269

Écija

  

1

1

1

1

1

La Atalaya Chica

139

Casariche

Municipium Flavium

Ventipo

1

1

1

1

1

La Esclavitud

142

Coronil (el)

  

1

0

0

0

0

La Foronguilla

143

Coronil (el)

  

1

1

1

1

1

La Lombriz Ib

295

Marchena

  

1

1

1

0

0

La Molina (I)

152

Osuna

  

0

1

1

1

1

La Platera

154

Estepa

  

0

1

1

1

0

La Saetilla

217

Palma del Rio

Municipium

 

1

1

1

1

1

La Torre II

290

Marchena

  

1

1

1

0

0

La Zorrilla I

288

Marchena

  

1

0

1

0

0

La Zorrilla II

289

Marchena

  

1

0

1

0

0

Las Aguilillas (I)

161

Osuna

  

0

0

1

1

1

Las Aguzaderas

162

Coronil (el)

  

1

1

1

1

1

Las Albaidas (I)

163

Carmona

  

1

1

0

0

0

Las Animas

270

Écija

  

1

1

1

1

1

Las Cabezas de San Juan

164

Las Cabezas de San Juan (las)

Municipium Flavium

Conobaria

1

1

1

1

1

Las Mazmorras

166

Morón de la Frontera

  

1

1

1

1

1

Las Valbuenas

271

Écija

  

1

1

1

1

1

Lebrija

167

Lebrija

 

Nabrissa Veneria

1

1

1

1

1

Lomas del Castillo

168

Puebla de Cazalla (la)

       

Lopera (III)

169

Utrera

  

1

1

1

0

0

Los Abades

272

Écija

  

1

1

1

1

1

Los Baldios

172

Saucejo (el)

Municipium Flavium

Irni

1

1

1

1

1

Los Canterones

173

Estepa

  

1

0

1

1

1

Los Castrejones

441

Aznalcollar

  

1

1

1

0

0

Los Felipes III

298

Marchena

  

1

1

0

0

0

Los Galindos II

294

Marchena

  

1

1

1

0

0

Los Medianos III

291

Marchena

  

1

1

1

0

0

Los Rodeos

179

Molares (los)

  

1

1

1

0

0

Malaver

181

Écija

  

1

1

1

1

1

Marchamorón (I)

182

Alcala de Guadaira

  

0

0

1

1

1

Marchenilla (II)

184

Alcala de Guadaira

  

1

1

1

1

1

Mesa de Lora

185

Lora del Rio

Municipium Flavium

Oducia

1

1

1

1

1

Mesa de Setefilla

186

Lora del Rio

  

1

1

1

1

1

Mesa del Almendro

93

Lora del Rio

  

1

1

1

0

0

Mesas de Asta

435

Jerez de la Frontera

Colonia

Hasta Regia (temporary)

1

1

1

1

1

Mochales

274

Écija

  

1

1

1

1

1

Molino de Pelay Correa

188

Alcala de Guadaira

  

0

0

1

1

1

Molino Hundido (I)

189

Alcala de Guadaira

  

1

1

1

0

0

Montemolín

192

Marchena

  

1

1

1

0

0

Moranilla

193

Écija

  

1

1

1

1

1

Morón de la Frontera

194

Morón de la Frontera

 

Lucurgentum Genius Iulii

1

1

1

1

1

Niebla

306

Niebla

 

Ilipula

1

1

1

1

1

Osuna

199

Osuna

Colonia

Colonia Genetiva Iulia (urbanorum?) Urso

1

1

1

1

1

Palmilla (I)

200

Cabezas de San Juan (las)

  

1

1

1

1

1

Pancorvo

203

Montellano

  

1

1

0

0

0

Pavia

205

Esacena del Campo or Ecija?

  

1

1

1

1

1

Pedro Cruzado (I)

206

Estepa

  

1

0

0

0

0

Pedro Cruzado (II)

207

Estepa

  

1

1

1

0

0

Peñaflor

208

Peñaflor

 

Celti

1

1

1

1

1

Piedra Salmedina

443

Rota

 

Caepionis Turris (temporary)

0

1

0

0

0

Piesolo (I)

209

Alcala de Guadaira

  

1

1

1

1

1

Porcún I

284

Marchena

  

1

1

1

0

0

Pozo del Carretero

285

Marchena

  

1

1

0

0

0

Qiñones

212

Écija

  

1

1

1

1

1

Rancho Pozo Blanquillo

283

Marchena

  

0

0

1

1

1

Reinoso

215

Écija

  

0

0

1

1

1

Ruiz Sánchez

216

Écija

  

0

0

0

1

1

Salinas de la Torre

218

Écija

  

1

1

1

1

1

San José

220

Morón de la Frontera

  

1

0

0

0

0

San Juan de Aznalfarache

222

San Juan de Aznalfarache

 

Osset Constantia Iulia

1

1

1

1

0

San Pedro (I)

223

Fuentes de Andalucia

  

1

1

1

0

0

San Pedro (II)

224

Fuentes de Andalucia

  

1

1

0

0

0

San Pedro (VII)

227

Fuentes de Andalucia

  

1

1

0

0

0

Sanlucar de Barrameda

434

Sanlúcar de Barrameda

  

1

1

1

1

1

Santa Ana

297

Marchena

  

1

1

0

0

0

Santiponce

230

Santiponce

Municipium

Colonia Aelia Augusta Itálica

1

1

1

1

1

Sevilla

232

Sevilla

Colonia

Colonia Iulia Romula Hispalis

1

1

1

1

1

Sotillo Gallego

234

Écija

  

1

1

1

1

1

Tablada

235

Viso del Alcor (el)

  

1

1

0

0

1

Tarajal

296

Marchena

  

1

1

1

1

1

Tejada la Nueva

419

Paterna del Campo

 

Ancient name?

1

1

1

1

1

Tejada La Vieja

316

Escacena del Campo

  

1

0

0

0

0

Tinajuela

236

Carmona

  

1

1

0

0

0

Torre Abad (I)

239

Alcala de Guadaira

  

1

1

1

1

0

Torre de la Membrilla

240

Alcala de Guadaira

  

1

1

1

1

0

Torre de los Herberos

241

Dos Hermanas

Municipium

Orippo

1

1

1

1

1

Torre del Aguila

242

Utrera

 

Siarum

1

1

1

1

1

Torres de Alocaz

244

Cabezas de San Juan (las)

Municipium

Ugia Marti

1

1

1

1

1

Vado de Quema

249

Aznalcazar

  

0

0

1

1

1

Vico

445

Marchena

  

1

1

1

0

0

Vistalegre I

292

Alcala de Guadaira

  

1

1

1

0

0

  1. 2.

    All 190 sites included in this case study sorted according to their project ID

The project IDs mentioned here are used in Fig. 2. The ‘municipality’ column lists the modern municipalities in which the sites are located. The urban status and ancient names of sites are provided when known. This list of urban status and ancient names was derived from Keay (1998b), Appendix II, with minor updates and changes. The last five columns show whether we have evidence to believe a site was occupied during a certain period (indicated by ‘1’) or not (indicated by ‘0’)

Site name

Project ID

Municipality

Urban status

Ancient name

Iberian

Republican

Early Imperial

Middle Imperial

Late Imperial

Alamillo

2

Osuna

  

1

1

1

1

1

Alcalá del Rio

4

Alcalá del Rio

Municipium

Ilipa Magna

1

1

1

1

1

Alcalá Morisco

5

Osuna

  

0

1

1

1

1

Alcaudete

6

Carmona

  

1

1

0

0

0

Alcolea del Rio

7

Alcolea del Rio

Municipium Flavium

Canama

1

1

1

1

1

Almadén de la Plata

9

Almadén de la Plata

  

0

0

1

1

0

Consuegra

10

Osuna

 

Munda

1

1

1

1

0

Aparicio el Grande

11

Gilena

 

Unknown

0

0

1

1

1

Atalaya de la Moranilla

14

Écija

  

1

1

1

1

1

Aznalcazar

15

Aznalcazar

 

Olontigi

1

1

1

1

1

Cañada Real de Morón (IX)

18

Alcala de Guadaira

  

1

0

0

0

0

Cañada Real de Morón (VII)

19

Alcala de Guadaira

  

1

0

0

0

0

Cañada Real de Morón (VIII)

20

Alcala de Guadaira

  

1

0

0

0

0

Cañada Real de Morón (XII)

21

Alcala de Guadaira

  

1

0

0

0

0

Cantillana

23

Cantillana

Municipium Flavium

Naeva

1

1

1

1

1

Capaparda

24

Osuna

  

1

1

1

1

1

Carmona

25

Carmona

 

Carmo

1

1

1

1

1

Casablanca

28

Utrera

  

1

1

1

1

1

Casilla de Barrera

30

Écija

  

1

1

1

0

0

Castillo de Alhonoz

34

Écija

  

1

1

0

0

0

Castillo de Mulva

35

Villanueva del Rio y Minas

Municipium Flavium

Munigua

1

1

1

1

0

Casulillas

36

Arahal (el)

  

1

1

1

1

1

Cerro Barrero (I)

39

Fuentes de Andalucia

  

1

0

0

0

0

Cerro Barrero (II)

40

Fuentes de Andalucia

  

1

1

0

0

0

Cerro de Atalaya

41

Campana (la)

  

1

1

1

1

1

Cerro de la Cabeza

42

Santiponce

  

1

0

0

0

0

Cerro de la Higuera

43

Estepa

  

0

0

1

1

1

Cerro de las Cabezas

46

Osuna

  

1

1

1

1

1

Cerro de las Catorce

47

Osuna

  

1

1

0

0

0

Cerro de las Vacas

48

Lebrija

 

Conobaria

1

1

1

1

1

Cerro de los Ladrillos

50

Arahal (el)

  

0

0

1

1

1

Cerro de los Villares

51

Estepa

  

0

0

1

1

1

Cerro del Calvario

56

Osuna

  

1

0

0

0

0

Cerro del Castillo (Gerena)

58

Gerena

  

1

1

1

0

0

Cerro del Cincho

59

Carmona

Municipium Flavium

Basilippo

1

1

1

1

0

Cerro del Manzano

60

Osuna

  

1

0

0

0

0

Cerro del Tesoro

61

Luisiana (la) or Ecija??

  

1

1

1

1

1

Cerro Duran

62

Rubio (el)

  

1

1

1

1

1

Cerro Gordo

63

Gilena

  

1

0

0

0

0

Cerro Macareno

64

Rinconada (la)

  

1

1

0

0

0

Cerro Rubio

65

Fuentes de Andalucia

  

1

1

1

1

1

Chiclana (II)

68

Écija

  

1

1

1

1

0

Córdoba (II)

70

Carmona

  

1

1

1

1

1

Coria del Rio

71

Coria del Rio

 

Caura

1

1

1

1

1

Cortijo Cabeza Del Sordo

72

Alcala de Guadaira

  

1

1

1

0

0

Cortijo de Alcofría

73

Écija

  

0

0

1

0

0

Cortijo de los Cosmes

75

Écija

Municipium Flavium

Carruca

1

1

1

1

0

Cortijo de los Olivos (VII)

76

Carmona

  

1

1

1

1

1

Cortijo de Repla

78

Corrales (los)

Municipium Flavium

Ilipula Minor

1

1

1

1

1

Cortijo de Torneji Viejo

79

Carmona

  

1

1

1

1

1

Cortijo del Cerro

80

Carmona

  

1

1

1

1

1

Cortijo Escalera

82

Fuentes de Andalucia

  

1

1

1

1

1

Cortijo Nuevo

83

Écija

  

1

1

1

1

1

Cortijos del Cerro (II)

84

Carmona

  

1

1

1

0

0

Cuevalonga (III)

85

Carmona

  

1

1

1

1

1

Dehesa de las Majadilas

86

Alcala de Guadaira

  

1

0

0

0

0

Donadio (II)

89

Fuentes de Andalucia

  

1

1

1

1

1

Écija

91

Écija

Colonia

Colonia Augusta Firma Astigi

1

1

1

1

1

Mesa del Almendro

93

Lora del Rio

  

1

1

1

0

0

El Arenal (II)

94

Fuentes de Andalucia

  

1

0

0

0

0

El Casar

95

Utrera

Municipium Flavium

Salpensa

1

1

1

1

1

El Castillejo (Arva)

96

Alcolea del Rio

Municipium Flavium

Arva

1

1

1

1

1

El Chiste (II)

98

Carmona

  

1

1

1

1

1

El Chiste (V)

99

Carmona

  

1

1

1

1

1

El Gandul

103

Alcala de Guadaira

 

Irippo

1

1

1

1

1

El Grullo

104

Marchena

  

0

0

1

1

1

El Guijo

105

Écija

  

1

1

1

1

1

El Hachillo

106

Lora de Estepa

 

Olaura

0

1

1

1

1

El Mocho

107

Écija

  

0

1

1

1

1

El Molino Pintado

108

Montellano

 

Callenses Aeneanici

1

1

1

1

1

El Nuño

109

Écija

  

1

1

1

1

1

El Picate

110

Palma del Rio

  

1

1

1

1

1

El Turruñuelo

116

Peñaflor

  

1

0

0

0

0

Ermita de San Antón

118

Écija or Carmona?

  

1

1

1

1

1

Estepa

120

Estepa

Municipium Flavium

Ostippo

1

1

1

1

1

Gerena

122

Gerena

 

Ilse

1

1

1

1

1

Haza de las Piedras

128

Alcala de Guadaira

  

1

1

1

1

1

Herrera

129

Herrera

  

0

0

0

1

1

Huerta del Caño

133

Écija

  

1

1

1

1

1

Isla del Castillo

136

Écija

Municipium Flavium

Segovia

1

1

1

1

1

La Atalaya Chica

139

Casariche

Municipium Flavium

Ventipo

1

1

1

1

1

La Esclavitud

142

Coronil (el)

  

1

0

0

0

0

La Foronguilla

143

Coronil (el)

  

1

1

1

1

1

La Molina (I)

152

Osuna

  

0

1

1

1

1

Castillo de la Monclova

153

Fuentes de Andalucia

Municipium Flavium

Obulcula

1

1

1

1

1

La Platera

154

Estepa

  

0

1

1

1

0

Las Aguilillas (I)

161

Osuna

  

0

0

1

1

1

Las Aguzaderas

162

Coronil (el)

  

1

1

1

1

1

Las Albaidas (I)

163

Carmona

  

1

1

0

0

0

Las Cabezas de San Juan

164

Las Cabezas de San Juan (las)

Municipium Flavium

Conobaria

1

1

1

1

1

Las Mazmorras

166

Morón de la Frontera

  

1

1

1

1

1

Lebrija

167

Lebrija

 

Nabrissa Veneria

1

1

1

1

1

Lomas del Castillo

168

Puebla de Cazalla (la)

       

Lopera (III)

169

Utrera

  

1

1

1

0

0

Castillo de Lora

171

Lora del Rio

Municipium Flavium

Axati

1

1

1

1

1

Los Baldios

172

Saucejo (el)

Municipium Flavium

Irni

1

1

1

1

1

Los Canterones

173

Estepa

  

1

0

1

1

1

Los Rodeos

179

Molares (los)

  

1

1

1

0

0

Malaver

181

Écija

  

1

1

1

1

1

Marchamorón (I)

182

Alcala de Guadaira

  

0

0

1

1

1

Marchenilla (II)

184

Alcala de Guadaira

  

1

1

1

1

1

Mesa de Lora

185

Lora del Rio

Municipium Flavium

Oducia

1

1

1

1

1

Mesa de Setefilla

186

Lora del Rio

  

1

1

1

1

1

Molino de Pelay Correa

188

Alcala de Guadaira

  

0

0

1

1

1

Molino Hundido (I)

189

Alcala de Guadaira

  

1

1

1

0

0

Montemolín

192

Marchena

  

1

1

1

0

0

Moranilla

193

Écija

  

1

1

1

1

1

Morón de la Frontera

194

Morón de la Frontera

 

Lucurgentum Genius Iulii

1

1

1

1

1

Osuna

199

Osuna

Colonia

Colonia Genetiva Iulia (urbanorum?) Urso

1

1

1

1

1

Palmilla (I)

200

Cabezas de San Juan (las)

  

1

1

1

1

1

El Palomarejo

201

Écija

  

1

1

1

1

1

Pancorvo

203

Montellano

  

1

1

0

0

0

Pavia

205

Esacena del Campo or Ecija?

  

1

1

1

1

1

Pedro Cruzado (I)

206

Estepa

  

1

0

0

0

0

Pedro Cruzado (II)

207

Estepa

  

1

1

1

0

0

Peñaflor

208

Peñaflor

 

Celti

1

1

1

1

1

Piesolo (I)

209

Alcala de Guadaira

  

1

1

1

1

1

Qiñones

212

Écija

  

1

1

1

1

1

Reinoso

215

Écija

  

0

0

1

1

1

Ruiz Sánchez

216

Écija

  

0

0

0

1

1

La Saetilla

217

Palma del Rio

Municipium

 

1

1

1

1

1

Salinas de la Torre

218

Écija

  

1

1

1

1

1

San José

220

Morón de la Frontera

  

1

0

0

0

0

San Juan de Aznalfarache

222

San Juan de Aznalfarache

 

Osset Constantia Iulia

1

1

1

1

0

San Pedro (I)

223

Fuentes de Andalucia

  

1

1

1

0

0

San Pedro (II)

224

Fuentes de Andalucia

  

1

1

0

0

0

San Pedro (VII)

227

Fuentes de Andalucia

  

1

1

0

0

0

Santiponce

230

Santiponce

Municipium

Colonia Aelia Augusta Itálica

1

1

1

1

1

Sevilla

232

Sevilla

Colonia

Colonia Iulia Romula Hispalis

1

1

1

1

1

Cerro de las Cabezas (Sobarbina)

233

Olivares

 

Laelia

1

0

1

1

1

Sotillo Gallego

234

Écija

  

1

1

1

1

1

Tablada

235

Viso del Alcor (el)

  

1

1

0

0

1

Tinajuela

236

Carmona

  

1

1

0

0

0

Torre Abad (I)

239

Alcala de Guadaira

  

1

1

1

1

0

Torre de la Membrilla

240

Alcala de Guadaira

  

1

1

1

1

0

Torre de los Herberos

241

Dos Hermanas

Municipium

Orippo

1

1

1

1

1

Torre del Aguila

242

Utrera

 

Siarum

1

1

1

1

1

Torres de Alocaz

244

Cabezas de San Juan (las)

Municipium

Ugia Marti

1

1

1

1

1

Vado de Quema

249

Aznalcazar

  

0

0

1

1

1

Cerro del Pascualejo

259

Écija

  

1

1

1

1

1

Doña Mencia

261

Écija

  

1

1

1

1

1

El Batán

262

Écija

  

1

1

1

1

0

El Castillejo (Écija)

263

Écija

  

1

1

1

1

1

El Santo Siervo

264

Écija

  

1

1

1

1

1

El Villar

265

Écija

  

1

1

1

1

1

Friíllas

266

Écija

  

1

1

1

1

1

Garrotal

267

Écija

  

1

1

1

1

1

La Alberquilla

268

Écija

  

0

0

1

1

1

La Alcuza

269

Écija

  

1

1

1

1

1

Las Animas

270

Écija

  

1

1

1

1

1

Las Valbuenas

271

Écija

  

1

1

1

1

1

Los Abades

272

Écija

  

1

1

1

1

1

Mochales

274

Écija

  

1

1

1

1

1

Castillo de Luna

278

Aznalcollar

  

1

1

1

0

0

Rancho Pozo Blanquillo

283

Marchena

  

0

0

1

1

1

Porcún I

284

Marchena

  

1

1

1

0

0

Pozo del Carretero

285

Marchena

  

1

1

0

0

0

Cagancha

286

Marchena

  

1

1

0

0

0

Cerros de San Ignacio

287

Marchena

  

1

1

1

0

0

La Zorrilla I

288

Marchena

  

1

0

1

0

0

La Zorrilla II

289

Marchena

  

1

0

1

0

0

La Torre II

290

Marchena

  

1

1

1

0

0

Los Medianos III

291

Marchena

  

1

1

1

0

0

Vistalegre I

292

Alcala de Guadaira

  

1

1

1

0

0

Cerro del Orégano

293

Marchena

  

1

1

1

1

1

Los Galindos II

294

Marchena

  

1

1

1

0

0

La Lombriz Ib

295

Marchena

  

1

1

1

0

0

Tarajal

296

Marchena

  

1

1

1

1

1

Santa Ana

297

Marchena

  

1

1

0

0

0

Los Felipes III

298

Marchena

  

1

1

0

0

0

Clarebout II

299

Marchena

  

1

1

1

0

0

Hacienda de Quintos

300

Dos Hermanas

  

0

1

1

1

1

Cortijo del Membrillo

301

Lora del Rio

       

Cerro del Bollo

303

Utrera

 

Unknown

1

1

1

1

1

Constantina

304

Constantina

 

Iporca

0

0

1

0

0

Niebla

306

Niebla

 

Ilipula

1

1

1

1

1

Almodovar del Rio

308

Almodovar del Rio

 

Carbula

     

Tejada La Vieja

316

Escacena del Campo

  

1

0

0

0

0

Huelva

395

Huelva

 

Onuba

1

1

1

1

1

Tejada la Nueva

419

Paterna del Campo

 

Ancient name?

1

1

1

1

1

Cortijo de Carija (Bornos)

431

Espera

Municipium

Caris(s)a Aurelia

     

Cerro Esperilla

432

Espera

 

Cappa

     

Bonanza

433

Sanlúcar de Barrameda

 

Lux Dubia (temporary)

0

0

1

0

0

Sanlucar de Barrameda

434

Sanlúcar de Barrameda

  

1

1

1

1

1

Mesas de Asta

435

Jerez de la Frontera

Colonia

Hasta Regia (temporary)

1

1

1

1

1

Arcos de la Frontera

436

Arcos de la Frontera

 

Saudo (temporary)

1

1

1

1

1

Los Castrejones

441

Aznalcollar

  

1

1

1

0

0

Piedra Salmedina

443

Rota

 

Caepionis Turris (temporary)

0

1

0

0

0

Cortijo de Casablanca

444

Arcos de la Frontera

 

Lacca (temporary)

     

Vico

445

Marchena

  

1

1

1

0

0

  1. 3.

    All sites with an urban status

Site ID

Site name

Urban status

Ancient name

4

Alcalá del Rio

Municipium

Ilipa Magna

7

Alcolea del Rio

Municipium Flavium

Canama

23

Cantillana

Municipium Flavium

Naeva

35

Castillo de Mulva

Municipium Flavium

Munigua

59

Cerro del Cincho

Municipium Flavium

Basilippo

75

Cortijo de los Cosmes

Municipium Flavium

Carruca

78

Cortijo de Repla

Municipium Flavium

Ilipula Minor

91

Écija

Colonia

Colonia Augusta Firma Astigi

95

El Casar

Municipium Flavium

Salpensa

96

El Castillejo (Arva)

Municipium Flavium

Arva

120

Estepa

Municipium Flavium

Ostippo

136

Isla del Castillo

Municipium Flavium

Segovia

139

La Atalaya Chica

Municipium Flavium

Ventipo

153

Castillo de la Monclova

Municipium Flavium

Obulcula

164

Las Cabezas de San Juan

Municipium Flavium

Conobaria

171

Castillo de Lora

Municipium Flavium

Axati

172

Los Baldios

Municipium Flavium

Irni

185

Mesa de Lora

Municipium Flavium

Oducia

199

Osuna

Colonia

Colonia Genetiva Iulia (urbanorum?) Urso

217

La Saetilla

Municipium

 

230

Santiponce

Municipium

Colonia Aelia Augusta Itálica

232

Sevilla

Colonia

Colonia Iulia Romula Hispalis

241

Torre de los Herberos

Municipium

Orippo

244

Torres de Alocaz

Municipium

Ugia Marti

431

Cortijo de Carija (Bornos)

Municipium

Caris(s)a Aurelia

435

Mesas de Asta

Colonia

Hasta Regia (temporary)

  1. 4.

    Sites on the Via Augusta

Site name

Project ID

Municipality

Urban status

Ancient name

Carmona

25

Carmona

 

Carmo

Écija

91

Écija

Colonia

Colonia Augusta Firma Astigi

Castillo de la Monclova

153

Fuentes de Andalucia

Municipium Flavium

Obulcula

Sevilla

232

Sevilla

Colonia

Colonia Iulia Romula Hispalis

Torre de los Herberos

241

Dos Hermanas

Municipium

Orippo

Torres de Alocaz

244

Cabezas de San Juan (las)

Municipium

Ugia Marti

Mesas de Asta

435

Jerez de la Frontera

Colonia

Hasta Regia (temporary)

  1. 5.

    Sites on the river network

Site name

Project ID

Municipality

Urban status

Ancient name

Alcalá del Rio

4

Alcalá del Rio

Municipium

Ilipa Magna

Alcolea del Rio

7

Alcolea del Rio

Municipium Flavium

Canama

Cantillana

23

Cantillana

Municipium Flavium

Naeva

Coria del Rio

71

Coria del Rio

 

Caura

Cortijo Nuevo

83

Écija

  

Écija

91

Écija

Colonia

Colonia Augusta Firma Astigi

El Castillejo (Arva)

96

Alcolea del Rio

Municipium Flavium

Arva

Isla del Castillo

136

Écija

Municipium Flavium

Segovia

Castillo de Lora

171

Lora del Rio

Municipium Flavium

Axati

Peñaflor

208

Peñaflor

 

Celti

La Saetilla

217

Palma del Rio

Municipium

 

San Juan de Aznalfarache

222

San Juan de Aznalfarache

 

Osset Constantia Iulia

Santiponce

230

Santiponce

Municipium

Colonia Aelia Augusta Itálica

Sevilla

232

Sevilla

Colonia

Colonia Iulia Romula Hispalis

Torre de los Herberos

241

Dos Hermanas

Municipium

Orippo

Doña Mencia

261

Écija

  

Las Animas

270

Écija

  

Las Valbuenas

271

Écija

  

Appendix B. Results of the node-based network measures

This appendix presents the results of the local exploratory network measures for each period’s visibility network with arcs up to 20 km and higher than 50 % probability.

  1. 6.

    Iberian period network up to 20 km

Site name

Project ID

Clustering coefficient

Indegree

Outdegree

Alamillo

2

0

1

1

Alcaudete

6

0

0

1

Alcolea del Rio

7

0

1

1

Atalaya de la Moranilla

14

0

1

0

Cagancha

286

0

1

1

Cantillana

23

0

1

1

Castillo de Alhonoz

34

0.1

5

4

Cerro de las Cabezas (Sobarbina)

233

0

1

0

Cerro del Bollo

303

0.33333333

4

3

Cerro del Manzano

60

0

1

1

Cerro del Orégano

293

0

0

1

Cerro Gordo

63

0

1

1

Cerro Rubio

65

0

1

0

Cerros de San Ignacio

287

0

2

1

Chiclana (II)

68

0

0

1

Consuegra

10

0

0

1

Cortijo de los Cosmes

75

0

1

1

Cortijo del Cerro

80

0

1

1

Cortijos del Cerro (II)

84

0

0

1

El Chiste (V)

99

0

1

0

El Guijo

105

0

1

2

El Nuño

109

0

2

1

El Palomarejo

201

0

1

0

Friíllas

266

0

1

0

Garrotal

267

0

0

1

Huerta del Caño

133

0

1

1

La Alcuza

269

0.16666667

3

4

La Esclavitud

142

0.33333333

3

3

La Foronguilla

143

0

1

1

La Torre II

290

0.66666667

3

3

Las Aguzaderas

162

1

1

2

Las Albaidas (I)

163

0

0

1

Las Cabezas de San Juan

164

0

1

1

Las Mazmorras

166

0.66666667

3

3

Mesa del Almendro

93

0

1

0

Mochales

274

1

2

2

Montemolín

192

0

1

1

Morón de la Frontera

194

0

2

1

Palmilla (I)

200

0

1

1

Pancorvo

203

0.16666667

6

5

Pedro Cruzado (I)

206

0

1

1

Pedro Cruzado (II)

207

0

0

1

Peñaflor

208

0

0

1

Porcún I

284

0.5

4

4

Pozo del Carretero

285

0

2

0

San José

220

0

1

1

San Pedro (I)

223

0.2

3

5

San Pedro (II)

224

0.33333333

2

3

San Pedro (VII)

227

0

1

1

Tablada

235

0

4

2

Tejada la Nueva

419

0

1

0

Tejada La Vieja

316

0

0

2

Torre del Aguila

242

0

0

1

Vico

445

0.33333333

3

3

  1. 7.

    Republican period network up to 20 km

Site name

Project ID

Clustering coefficient

Indegree

Outdegree

Alamillo

2

0

1

1

Alcaudete

6

0

0

1

Alcolea del Rio

7

0

1

1

Atalaya de la Moranilla

14

0

2

1

Cagancha

286

0

1

1

Cantillana

23

0

1

1

Castillo de Alhonoz

34

0.16666667

4

3

Cerro de las Cabezas

46

0

0

1

Cerro del Bollo

303

0.33333333

4

3

Cerro del Orégano

293

0

0

1

Cerro Rubio

65

0

1

0

Cerros de San Ignacio

287

0

2

1

Chiclana (II)

68

0

0

1

Consuegra

10

0

0

1

Cortijo de los Cosmes

75

0

1

1

Cortijo del Cerro

80

0

1

1

Cortijos del Cerro (II)

84

0

0

1

El Chiste (V)

99

0

1

0

El Guijo

105

0

2

2

El Mocho

107

0

2

2

El Nuño

109

0

2

1

El Palomarejo

201

0

1

0

Friíllas

266

0

1

0

Garrotal

267

0

0

1

Huerta del Caño

133

0

1

1

La Alcuza

269

0.16666667

3

4

La Foronguilla

143

0

1

1

La Platera

154

0

1

1

La Torre II

290

0.66666667

3

3

Las Aguzaderas

162

1

1

2

Las Albaidas (I)

163

0

0

1

Las Cabezas de San Juan

164

0

1

1

Las Mazmorras

166

1

2

2

Mesa del Almendro

93

0

1

0

Mochales

274

0.33333333

3

3

Montemolín

192

0

1

1

Morón de la Frontera

194

0

1

0

Palmilla (I)

200

0

1

1

Pancorvo

203

0.25

4

3

Pedro Cruzado (II)

207

0

0

1

Peñaflor

208

0

0

1

Porcún I

284

0.5

4

4

Pozo del Carretero

285

0

2

0

San Pedro (I)

223

0.2

3

5

San Pedro (II)

224

0.33333333

2

3

San Pedro (VII)

227

0

1

1

Tablada

235

0

4

2

Torre del Aguila

242

0

0

1

Vico

445

0.33333333

3

3

  1. 8.

    Early Imperial period network up to 20 km

Site name

Project ID

Clustering coefficient

Indegree

Outdegree

Alamillo

2

0

1

1

Alcolea del Rio

7

0

1

1

Atalaya de la Moranilla

14

0

2

1

Cantillana

23

0

1

1

Cerro de las Cabezas

46

0

0

1

Cerro de los Ladrillos

50

0

0

1

Cerro del Bollo

303

0

3

2

Cerro del Orégano

293

0

0

1

Cerro Rubio

65

0

1

0

Chiclana (II)

68

0

0

1

Consuegra

10

0

0

1

Cortijo de Alcofría

73

0

2

3

Cortijo de los Cosmes

75

0

1

1

El Chiste (V)

99

0

1

0

El Grullo

104

0

1

0

El Guijo

105

0

1

1

El Mocho

107

0

2

2

El Nuño

109

0

2

1

El Palomarejo

201

0

1

0

Friíllas

266

0

1

0

Garrotal

267

0

0

1

Huerta del Caño

133

0

2

2

La Alcuza

269

0

2

3

La Foronguilla

143

0

1

1

La Platera

154

0

1

1

La Torre II

290

1

2

2

Las Aguzaderas

162

0

0

1

Las Cabezas de San Juan

164

0

1

1

Las Mazmorras

166

0

1

1

Los Abades

272

0

1

0

Mesa del Almendro

93

0

1

0

Mochales

274

0

3

3

Morón de la Frontera

194

0

2

0

Palmilla (I)

200

0

1

1

Peñaflor

208

0

0

1

Porcún I

284

0.66666667

3

3

Reinoso

215

0

1

1

San Pedro (I)

223

0.2

3

5

Vico

445

0.33333333

3

3

  1. 9.

    Middle Imperial period network up to 20 km

Site name

Project ID

Clustering coefficient

Indegree

Outdegree

Alamillo

2

0

1

1

Alcolea del Rio

7

0

1

1

Atalaya de la Moranilla

14

0

2

1

Cantillana

23

0

1

1

Cerro de las Cabezas

46

0

0

1

Cerro de los Ladrillos

50

0

0

1

Cerro del Bollo

303

0

3

2

Cerro del Orégano

293

0

0

1

Cerro Rubio

65

0

1

0

Chiclana (II)

68

0

0

1

Consuegra

10

0

0

1

Cortijo de los Cosmes

75

0

1

1

El Guijo

105

0

1

1

El Mocho

107

0

2

2

El Nuño

109

0

2

1

El Palomarejo

201

0

1

0

Friíllas

266

0

1

0

Garrotal

267

0

0

1

Huerta del Caño

133

0

1

1

La Alcuza

269

0

2

3

La Foronguilla

143

0

1

1

La Platera

154

0

1

1

Las Aguzaderas

162

0

0

1

Las Cabezas de San Juan

164

0

1

1

Las Mazmorras

166

0

1

1

Mochales

274

0

2

2

Morón de la Frontera

194

0

2

0

Palmilla (I)

200

0

1

1

  1. 10.

    Late Imperial period network up to 20 km

Site name

Project ID

Clustering coefficient

Indegree

Outdegree

Alamillo

2

0

1

1

Alcolea del Rio

7

0

1

1

Atalaya de la Moranilla

14

0

2

1

Cantillana

23

0

1

1

Cerro de los Ladrillos

50

0

0

1

Cerro del Bollo

303

0

3

2

Cerro del Orégano

293

0

0

1

Cerro Rubio

65

0

1

0

Cortijo del Cerro

80

0

1

1

El Mocho

107

0

2

2

El Nuño

109

0

1

1

Garrotal

267

0

0

1

Huerta del Caño

133

0

1

1

La Alcuza

269

0

2

3

La Foronguilla

143

0

1

1

Las Aguzaderas

162

0

0

1

Las Cabezas de San Juan

164

0

1

1

Las Mazmorras

166

0

1

1

Mochales

274

0

2

2

Morón de la Frontera

194

0

2

0

Palmilla (I)

200

0

1

1

Tablada

235

0

1

1

Appendix C. ERGM results

This appendix includes the results discussed in the ‘Exponential Random Graph Modelling’ section of the paper: the Bernoulli random graph models, the ERGMs without attributes and the ERGMs with attributes.

  1. 1.

    Goodness of fit of Bernoulli random graph models

T ratios express how good the model succeeds in reproducing the frequency of configurations in the observed network. In order to be a good fit, the t ratio for these configurations should be lower than 2. Only the Bernoulli random graph models for the Middle and Late Imperial observed networks show a good fit for a small number of configurations.

Table 7 Iberian 20-km network
Table 8 Republican 20-km network
Table 9 Early Imperial 20-km network
Table 10 Middle Imperial 20-km network
Table 11 Late Imperial 20-km network
  1. 2.

    ERGMs without attributes

  1. 2.1.

    Models of 20-km networks

Significant configurations are indicated by *. Configurations are significant if the estimate is more than two times the standard error.

Table 12 Iberian 20-km social circuit model
Table 13 Republican 20-km circuit model
Table 14 Early Imperial 20-km circuit model
Table 15 Middle Imperial 20-km circuit model
Table 16 Late Imperial 20-km circuit model
  • 2.2. Goodness of fit 20-km network models

Configurations included in the model are in bold. T ratios express how good the model succeeds in reproducing the frequency of configurations in the observed network. In order to be a good fit, the T ratio for these configurations should be lower than 0.1; T ratios for all other configurations should be between 0.1 and 2.

Table 17 Goodness of fit Iberian 20-km social circuit model. One hundred million simulations, 1,000 samples
Table 18 Goodness of fit Republican 20-km circuit model. One hundred milion simulations, 1,000 samples
Table 19 Goodness of fit Early Imperial 20-km circuit model. Fifty million simulations, 1,000 samples
Table 20 Goodness of fit Middle Imperial 20-km circuit model. Fifty million simulations, 1,000 samples
Table 21 Goodness of fit Late Imperial 20-km circuit model. Fifty million simulations, 1,000 samples
  1. 3.

    ERGMs of Early Imperial attributed networks

  1. 3.1.

    Estimations attribute models

Significant configurations are indicated by *. Configurations are significant if the estimate is more than two times the standard error.

Table 22 Early Imperial 20-km circuit model with transport network attribute
Table 23 Early Imperial 20-km circuit model with ‘sites on elevation’ attribute
Table 24 Early Imperial 20-km circuit model with urban status attribute
Table 25 Early Imperial 20-km circuit model with Iron Age origin attribute
Table 26 Early Imperial 20-km circuit model with three attributes: sites on elevation, sites with Iron Age origins and sites with an urban status
  • 3.2. Goodness of fit attribute models

Configurations included in the model are in bold. T ratios express how good the model succeeds in reproducing the frequency of configurations in the observed network. T ratios are calculated as (observed - mean) / standard deviation. In order to be a good fit, the T ratio for these configurations should be lower than 0.1; T ratios for all other configurations should be between 0.1 and 2.

Table 27 Goodness of fit for circuit model of Early Imperial 20-km network with transport network attribute. One hundred million simulations, 1,000 samples
Table 28 Goodness of fit for circuit model of Early Imperial 20-km network with ‘sites on elevation’ attribute. One hundred million simulations, 1,000 samples
Table 29 Goodness of fit for circuit model of Early Imperial 20-km network with urban status attribute. Fifty million simulations, 1,000 samples
Table 30 Goodness of fit for circuit model of Early Imperial 20-km network with Iron Age origin attribute. Fifty million simulations, 1,000 samples
Table 31 Goodness of fit for circuit model of Early Imperial 20-km network with three attributes: sites on elevation, sites with Iron Age origins and sites with an urban status. Fifty million simulations, 1,000 samples

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Brughmans, T., Keay, S. & Earl, G. Understanding Inter-settlement Visibility in Iron Age and Roman Southern Spain with Exponential Random Graph Models for Visibility Networks. J Archaeol Method Theory 22, 58–143 (2015). https://doi.org/10.1007/s10816-014-9231-x

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