Table 5 Assigning level and value of ( Z... | Emerald Publishing

Table 5

Assigning level and value of (Z × K) and the probability of domino effect

Location, i/Demand area, j	Characteristics of the area	Level	(Z × K)	Probability of primary event (p_j_(primary))	N (number of buildings per square kilometer)	Probit function (Y = −5 + 1.5 ln(N + (Z × K)))	Escalation probability $(p_{E} = \frac{1}{σ \sqrt{2 π}} \int_{- \infty}^{Y - 5} e^{\frac{- x^{2}}{2}} dx)$	Probability of domino effect (p_j_(domino) = p_j_(primary) × p_E)

Area 1	No gas line network, no industrial zone, not a hilly or a coastal area	Level 0	0 × 100 = 000	0.7	100	1.91	0.001	0.0007
Area 2	Presence of gas line network	Level 1	5 × 100 = 500	0.7	50	4.46	0.29	0.203
Area 3	Presence of hilly area and gas line network	Level 2	6 × 100 = 600	0.7	70	4.76	0.41	0.287
Area 4	Presence of some industries and gas line network	Level 2	6 × 100 = 600	0.6	500	5.50	0.69	0.414
Area 5	Presence of high density of industries and dense gas line network	Level 3	7 × 100 = 700	0.6	950	6.11	0.87	0.522
Area 6	Presence of hilly area and gas line network	Level 2	6 × 100 = 600	0.7	60	4.74	0.40	0.28
Area 7	Presence of coastal area	Level 1	5 × 100 = 500	0.5	50	4.46	0.29	0.145
Area 8	Presence of large coastal area	Level 2	6 × 100 = 600	0.5	60	4.74	0.40	0.2
Area 9	Presence of hilly area	Level 1	5 × 100 = 500	0.7	70	4.52	0.32	0.224

Location, i/Demand area, j	Characteristics of the area	Level	(Z × K)	Probability of primary event (p_j_(primary))	N(number of buildings per square kilometer)	Probit function(Y = −5 + 1.5 ln(N + (Z × K)))	Escalation probability $(p_{E} = \frac{1}{σ \sqrt{2 π}} \int_{- \infty}^{Y - 5} e^{\frac{- x^{2}}{2}} dx)$	Probability of domino effect(p_j_(domino) = p_j_(primary) × p_E)

Area 1	No gas line network, no industrial zone, not a hilly or a coastal area	Level 0	0 × 100 = 000	0.7	100	1.91	0.001	0.0007
Area 2	Presence of gas line network	Level 1	5 × 100 = 500	0.7	50	4.46	0.29	0.203
Area 3	Presence of hilly area and gas line network	Level 2	6 × 100 = 600	0.7	70	4.76	0.41	0.287
Area 4	Presence of some industries and gas line network	Level 2	6 × 100 = 600	0.6	500	5.50	0.69	0.414
Area 5	Presence of high density of industries and dense gas line network	Level 3	7 × 100 = 700	0.6	950	6.11	0.87	0.522
Area 6	Presence of hilly area and gas line network	Level 2	6 × 100 = 600	0.7	60	4.74	0.40	0.28
Area 7	Presence of coastal area	Level 1	5 × 100 = 500	0.5	50	4.46	0.29	0.145
Area 8	Presence of large coastal area	Level 2	6 × 100 = 600	0.5	60	4.74	0.40	0.2
Area 9	Presence of hilly area	Level 1	5 × 100 = 500	0.7	70	4.52	0.32	0.224

Source: Table created by author