Methodology: Here, we want to assess how the contact network changes by removing some of the time intervals for which we had a peak of contacts. We do so because there are discussions for implementing policies that allow people to move freely on specific hours within the day. To analyze this behavior, we build all the 5-minute interval graphs per day, and then we remove the top N 5-minute intervals in terms of the number of contacts that occurred. Then we report the average number of contacts per person, the number of contacts per day, and the percentage of contacts that remain after applying each policy. Below, we present our results and the main insights by analyzing this behavior for varying numbers of N.

Main Insights: Our experimental results indicate that a large percentage of the contacts per day happen within a few hours. For instance, by looking at the last column of Table 1, we observe that by removing the top 1 hour we remove almost 13% of all contacts and by removing the top 2 hours we remove almost 24% of all contacts. In this setting, if we aim to cut the contacts into half, removing the top 5 hours per day seem to be an effective strategy. We also note that the overwhelming majority of the contacts per day are happening within the top 12-hours (only approximately 17% of the contacts remain). By looking at the temporal plots in Figure 2, we observe that these policies are particularly effective during the weekdays and less during weekends. This is likely because on weekends the numbers of contacts are more spread out with time, while on weekdays most of the contacts are concentrated in a few hours, mainly because of courses, social events, etc.

Enforced Policy

Mean #contacts per person

Median # contacts per person

Mean #contacts per observation

Median #contacts per observation

Overall %contacts

None

122.73

141.46

86,648.85

99,871

100.00%

Removing top 2 time periods (10 minutes)

120.08

138.51

84,777.10

97,794

97.83%

Removing top 4 time periods (20 minutes)

117.49

135.54

82,951.71

95,698

95.73%

Removing top 6 time periods (30 minutes)

114.96

132.70

81,167.10

93,688

93.67%

Removing top 12 time periods (60 minutes)

107.66

124.46

76,010.07

87,870

87.72%

Removing top 24 time periods (120 minutes)

94.05

106.75

66,399.50

75,369

76.63%

Removing top 36 time periods (180 minutes)

81.70

91.35

57,684.64

64,498

66.57%

Removing top 48 time periods (240 minutes)

70.46

77.02

49,746.17

54,379

57.41%

Removing top 60 time periods (300 minutes)

60.22

64.06

42,516.75

45,229

49.06%

Removing top 72 time periods (360 minutes)

50.93

52.99

35,961.60

37,416

41.50%

Removing top 84 time periods (420 minutes)

42.77

43.85

30,196.28

30,961

34.84%

Removing top 96 time periods (480 minutes)

35.64

36.18

25,168.78

25,546

29.04%

Removing top 120 time periods (600 minutes)

26.27

25.48

18,551.39

17,995

21.40%

Removing top 144 time periods (720 minutes)

20.73

20.64

14,639.85

14,572

16.89%