Based on the logical relationship among the elements of urban safety and security assessment, we establish a risk assessment model for specific risk events, an emergency capacity assessment model for specific emergency events, and an urban safety and security assessment model for the whole area.
3.3.1. Risk Assessment Model for Specific Risk Events
- (1)
Inherent risk (, )
Based on the risk quantification expression proposed by the United Nations [
32], in general, the inherent risk is calculated by Equation (2):
where
refers to the hazard evaluation value of the
i-th event and
refers to the vulnerability evaluation value of the
i-th event. The two parameters are both dimensionless and calculated by Equation (1).
The inherent risk evaluation considering the comprehensive triggering effect is the base for screening critical emergency events. Due to the high concentration of people and buildings in urban areas, the amplification of the triggering effect on risks cannot be ignored. Therefore, the comprehensive triggering effect of the
i-th event for
k secondary events is introduced (only considering the first-class triggering effect), which is expressed by the risk enhancement coefficient
. Finally, the inherent risk considering the comprehensive triggering effect is calculated by Equation (3):
where
is the hazard evaluation value of the
i-th event;
is the vulnerability evaluation value of the
i-th event; and
is the risk enhancement coefficient of the
i-th event with a range of [1, 1.5] and calculated by Equation (4). All of these parameters are dimensionless.
Considering the comprehensive triggering effect for
k secondary events, the risk enhancement coefficient of the
i-th event is calculated by Equation (4):
where
is the comprehensive risk evaluation value of the
i-th event considering the triggering effect, calculated by Equation (5), and is the dimensionless parameter with a range of [0, 25]. Here,
is a coefficient by standardizing the comprehensive risk value (
) of multi-hazard risks from [0, 25] to [1, 1.5]. When
, it means that there is no triggering effect; in other words,
. In this paper, the upper limit of the triggering effect on risk amplification is set to 0.5, in which
.
The comprehensive risk evaluation value of the
i-th event considering the triggering effect for
k secondary events is:
where,
is the probability parameter of triggering effect caused by the
i-th event, calculated by Equation (6), with a range of [0, 1];
is the inherent risk evaluation value of the
j-th event in general, calculated by Equation (2), with a range of [1, 25]. These parameters are both dimensionless.
The probability parameter of the triggering effect caused by the
i-th event is calculated by Equation (6):
where
is the inherent risk evaluation value of the
i-th event in general, calculated by Equation (2), and is the dimensionless parameter with a range of [
1,
25].
- (2)
Residual risk ()
According to the logical relationship between the risk and the prevention and control capacity, the residual risk is calculated by Equation (7):
where
is the source control capacity coefficient of the
i-th event,
is the risk prevention capacity coefficient of the
i-th event, calculated by Equation (8), with a range of [0.8, 1];
is the risk enhancement coefficient of the
i-th event, calculated by Equation (4), with a range of [1, 1.5]. All of these parameters are dimensionless.
and
are a coefficient by standardizing the source control capacity evaluation value (
) and the risk prevention capacity evaluation value (
), respectively, from [0, 5] to [0.8, 1]. In this paper, the maximum value of the capacity to mitigate risk is set to 0.2, in which
. When
, it means that capacity has little to do with risk, in other words,
.
and
are calculated by Equation (8):
where
represents
or
;
represents the source control capacity evaluation value (
) or the risk prevention capacity evaluation value (
) of the
i-th event.
Evidently, the assessment models change the relatively uniform distribution of the original data. Taking the simplest Equation (2) as an example, the original value of
and
are uniformly distributed in [1, 5]. However, the value of
multiplied by
and
is not uniformly distributed in [1, 25], but more concentrated in the region near value 5. Natural breaks based on clustering thinking are a reasonable classification method for non-uniformly distributed values [
33]. Therefore, this paper uses the natural breaks to classify the evaluation value of inherent risk and residual risk, which are calculated by Equations (3) and (7), respectively, into five grades. The specific judgment criteria are shown in
Table 1.
3.3.2. Emergency Capacity Assessment Model for Specific Emergency Events
The overall emergency capacity for specific emergency events is determined by the capacity of preparedness, response, coping, and recovery. Preparedness is the basic work in the early stage of dealing with emergency, including the establishment of emergency organizations, emergency plans, monitoring of risk sources, training, etc. In the terminology related to disaster risk reduction, response refers to actions taken directly before, during, or immediately after a disaster in order to save lives, reduce health impacts, ensure public safety, and meet the basic subsistence needs of the people affected [
30]. However, in order to develop a better evaluation model, this paper redefines response by dividing it into two parts: actions taken from receiving alert information to arriving at the scene are defined as response, and actions taken from arriving at the scene to the end of the emergency are defined as coping. Recovery refers to actions that restore the normal functioning of the affected areas after the emergency.
The internal relationship of emergency capacities in each stage is shown in
Figure 5. Disaster consequence is characterized as the changes of the hazard-bearing body from the normal state to the damaged or destroyed state. Coping capacity and recovery capacity are the factors that directly inhibit the state change of hazard-bearing body. Response capacity is the time factor that directly affects the state change of the hazard-bearing body. Preparedness capacity indirectly affects the state change of the hazard-bearing body by affecting the reliability of response, coping, and recovery. At the same time, response and coping are the pivotal capacities to control the development of events. Therefore, response capacity and coping capacity are evidently more important compared to recovery capacity.
Based on the analysis of the internal relationship among the emergency capacity elements, the overall emergency capacity of the
i-th emergency event is calculated by Equation (9):
where
is the reliability parameter of response capacity, coping capacity, and recovery capacity, calculated by Equation (10);
is the evaluation value of response capacity, calculated by Equations (11) and (12);
is the evaluation value of coping capacity, calculated by Equations (13)–(15);
is the evaluation value of recovery capacity, calculated by Equations (16)–(18);
,
,
are the weight of response capacity, coping capacity, and recovery capacity, respectively, with the range of [0, 1], and satisfy the equation of
. All of these parameters are dimensionless, with a range of [0, 1].
is a coefficient found by standardizing the preparedness capacity evaluation value (
)from [1, 5] to [0.2, 1] and is calculated by Equation (10):
where
is the evaluation value of preparedness capacity.
The tasks of emergency coping can be divided into two categories: the first one is personnel rescue and evacuation; and the second one is professional disposal, such as fire extinction of high-rise buildings, risk elimination of dangerous chemical storage and transportation facilities, and rush-repair of power communication facilities. However, for different types of emergency events, the importance of the two tasks is different. For example, when long-distance oil and gas pipeline accidents happen in a sparsely populated area, the focus of rescue should be professional disposal. Whereas in most fire accidents happening in densely populated places, personnel rescue and evacuation and professional disposal are equally important.
In addition, response and coping capacity can be measured by the timeliness and effectiveness of rescue and disposal. Timeliness means the efficiency of response and coping. Effectiveness means the rescue and coping effect, which can be represented by the severity of the event consequences. Here, referring to the judgment criteria of natural and technological disasters in China, the event consequences are divided into five grades: particularly significant (Grade 5), significant (Grade 4), relatively large (Grade 3), general (Grade 2), and below general (Grade 1). Casualties, direct economic loss, and characteristic consequences (such as the burned area of forest fires, the amount of oil spill offshore, etc.) are used as evaluation indicators. Therefore, this paper analyzes the response efficiency and effectiveness of personnel rescue and evacuation tasks according to the casualties and analyzes the efficiency and effectiveness of professional disposal tasks according to direct economic loss or characteristic consequences.
Response capacity includes the response efficiency of personnel rescue and evacuation task and the response efficiency for the professional disposal task. Thus, the response capacity for the
i-th event is calculated by Equation (11):
where
and
are the response efficiency parameters of personnel rescue and evacuation tasks and professional disposal tasks, respectively, calculated by Equation (12);
and
are the weight of personnel rescue and evacuation tasks and professional disposal tasks, respectively, and satisfy the equation of
. All the parameters are dimensionless with a range of (0, 1].
Response capacity is represented by the efficiency of response tasks, which can be characterized by the relationship between the actual response time and the escalation time of event. In China, fire brigades are comprehensive rescue teams involved in the disposal of various emergencies at the earliest moment. According to Article 13 of China’s Construction Standard of Urban Fire Station, a basic requirement for fires stations is that fire brigades should reach the edge of the jurisdiction within 5 min after receiving instructions. Therefore, this paper assumes that if rescuers can reach the scene within 5 min, the response efficiency reaches the upper limit 1; if rescuers reach the scene after 5 min and are above or equal to 100 times of the escalation time of event, it means that the response efficiency is particularly low and reaches the lower limit 0.01. Then, the response efficiency parameter of the
i-th event is calculated by Equation (12):
where
represents the time from the occurrence of the event to the accident situation reaching the Grade 2 in minutes;
represents the time from the occurrence of the event to the arrival of the first rescue or professional disposal personnel at the accident site in minutes.
Coping capacity is represented by the efficiency and effectiveness of coping tasks. Thus, the coping capacity for the
i-th event is calculated by Equation (13):
where
, and
are efficiency parameters of personnel rescue and evacuation tasks and professional disposal tasks, respectively, calculated by Equation (14);
and
are effectiveness parameters of personnel rescue and evacuation tasks and professional disposal tasks, respectively, calculated by Equation (15);
and
are the weight of personnel rescue and evacuation tasks and professional disposal tasks, respectively, and satisfy the equation of
. All of these parameters are dimensionless, with a range of (0, 1].
The efficiency of coping tasks is represented by the relationship between actual coping time and optimal coping time. If optimal coping time is no shorter than actual coping time, the coping efficiency reaches the upper limit 1. If the actual coping time is above or equal to 100 times of optimal coping time, it means that the coping efficiency is particularly low, and reaches the lower limit 0.01. Then, the efficiency parameters of personnel rescue and evacuation tasks and professional disposal tasks of the
i-th event are calculated by Equation (14):
where
represents the optimal time of rescue and disposal in minutes;
represents the time from the arrival of the first rescue or personnel rescue team or professional disposal team to the end of rescue and disposal tasks in minutes.
The effectiveness of rescue and disposal tasks is represented by the increase in accident grade during coping emergency and can be calculated by Equation (15):
where
represents the accident grade when the first personnel rescue team or professional disposal team arrives on the accident scene;
represents the accident grade at the end of rescue and disposal tasks,
. The two parameters are both dimensionless.
The post-disaster recovery process is complex and is affected by time, space, and many other variables [
34]. The most direct characteristic factors of recovery capacity are recovery time and recovery degree, but these two factors are very difficult to quantify. However, it is certain that self-recovery capacity, social support, and government support are the three important aspects of the post-disaster recovery. Thus, the recovery capacity for the
i-th event is calculated by Equation (16):
where
is the overall damage degree parameter of the disaster area,
, and the greater the damage degree, the worse the self-recovery capacity is;
is the social support degree parameter, calculated by Equation (17), and is a dimensionless parameter with a range of [0, 1];
is the government support degree parameter and is the dimensionless parameter with a range of [0, 1];
,
, and
represent the weight of the self-recovery capacity, the social support degree, and the government support degree of the disaster area, respectively, and the three satisfy Equation (18).
Social forces, including mainly insurance agencies and social groups, can help the recovery of disaster areas such as funds, temporary physical assistance and long-term psychological assistance. Insurance, as a means of sharing the risk of disaster areas, plays an important role in post-disaster recovery. The effect of insurance in disaster recovery is easy to quantify. Therefore, this paper measures the degree of social support from the coverage rate and coverage degree of insurance and calculates the social support degree parameter by Equation (17):
where
and
represent the number of affected persons and affected property covered by the insurance, respectively;
and
represent the total number of affected persons and affected property, respectively;
and
represent the guarantee degree of the insurance for affected persons and affected property, respectively, which are both dimensionless and with a range of [0, 1]. However,
and
have a consistent unit, and the same for
and
.
In the process of post-disaster recovery, the worse the self-recovery capacity is, the more important the social and government support are. Here, the social support and government support are assumed to be equally important. However, no matter how seriously damaged the disaster area is, it cannot completely rely on the society and the government. Therefore, this paper sets the lower limit of self-recovery capacity as 0.2, which is obtained when the damage degree of the disaster area is 5. Finally, the weight of self-recovery capacity (
), social support degree (
), and government support degree (
) in disaster area should satisfy Equation (18):
Similarly to judgment criteria of inherent risk and residual risk, this paper uses the natural breaks to classify the evaluation value of emergency capacity, which is calculated by Equation (9) and into 5 grades. The specific judgment criteria are shown in
Table 2.