1 00:00:01,040 --> 00:00:03,380 The following content is provided under a Creative 2 00:00:03,380 --> 00:00:04,770 Commons license. 3 00:00:04,770 --> 00:00:06,980 Your support will help MIT OpenCourseWare 4 00:00:06,980 --> 00:00:11,070 continue to offer high quality educational resources for free. 5 00:00:11,070 --> 00:00:13,640 To make a donation or to view additional materials 6 00:00:13,640 --> 00:00:17,600 from hundreds of MIT courses, visit MIT OpenCourseWare 7 00:00:17,600 --> 00:00:18,486 at ocw.mit.edu. 8 00:00:22,190 --> 00:00:25,100 PROFESSOR: OK, so you might recall we had a snow day, 9 00:00:25,100 --> 00:00:27,650 and the snow day bumped us. 10 00:00:30,520 --> 00:00:32,890 We interrupted our introduction theme 11 00:00:32,890 --> 00:00:36,280 and dove right into data collection. 12 00:00:36,280 --> 00:00:37,960 Then we did short-range planning. 13 00:00:37,960 --> 00:00:40,810 So Neema was lecturing that over two lectures. 14 00:00:40,810 --> 00:00:46,480 Now we're back to the third and last introductory material. 15 00:00:46,480 --> 00:00:49,450 And then we'll go back and do more data and modeling 16 00:00:49,450 --> 00:00:50,410 if that makes sense. 17 00:00:50,410 --> 00:00:53,590 Sorry for that interruption. 18 00:00:53,590 --> 00:00:58,390 So it's a little more general than the other classes 19 00:00:58,390 --> 00:00:59,620 that we've seen. 20 00:00:59,620 --> 00:01:02,530 And today's topic is model capacities and costs. 21 00:01:02,530 --> 00:01:08,200 So we'll cover a simple capacity analysis that you might do, 22 00:01:08,200 --> 00:01:10,580 you know, back of the envelope calculation. 23 00:01:10,580 --> 00:01:13,144 If somebody is asking you about something, 24 00:01:13,144 --> 00:01:14,560 and it's a completely new service, 25 00:01:14,560 --> 00:01:16,740 and you just want to have an idea, 26 00:01:16,740 --> 00:01:19,090 I will give an example of that. 27 00:01:19,090 --> 00:01:20,740 Then we'll look at worldwide status 28 00:01:20,740 --> 00:01:22,720 of urban rail systems, both heavy rail 29 00:01:22,720 --> 00:01:25,450 and light rail, some bus ways. 30 00:01:25,450 --> 00:01:27,880 And we'll look at capital and operating costs 31 00:01:27,880 --> 00:01:32,140 at a high level, focusing more on the US using the National 32 00:01:32,140 --> 00:01:34,740 Transit Database. 33 00:01:34,740 --> 00:01:38,580 All right, so first slide here is 34 00:01:38,580 --> 00:01:41,560 an update of the statistics I gave you earlier. 35 00:01:41,560 --> 00:01:43,470 So you have these statistics from 36 00:01:43,470 --> 00:01:45,610 the previous introductory lecture, 37 00:01:45,610 --> 00:01:47,370 but these are updated for 2013. 38 00:01:47,370 --> 00:01:51,040 So I'm not going to cover this in detail. 39 00:01:51,040 --> 00:01:53,700 But if you want to compare with the previous table, 40 00:01:53,700 --> 00:01:54,480 you can do so. 41 00:01:54,480 --> 00:01:58,050 And here you have more updated numbers. 42 00:01:58,050 --> 00:02:01,110 These come from the APTA Fact Book, 43 00:02:01,110 --> 00:02:05,247 and they take the numbers from the National Transit Database. 44 00:02:08,110 --> 00:02:11,660 And let's start with that simple capacity analysis. 45 00:02:11,660 --> 00:02:14,500 So this is a theoretical exercise, 46 00:02:14,500 --> 00:02:18,130 but it gives you some idea of how one might approach-- 47 00:02:18,130 --> 00:02:20,400 if you have nothing to go on, how 48 00:02:20,400 --> 00:02:23,730 one might approach estimating what capacity 49 00:02:23,730 --> 00:02:25,380 you need for some service. 50 00:02:25,380 --> 00:02:29,460 So the problem is, given a pie-shaped sector 51 00:02:29,460 --> 00:02:31,650 into the central business district served 52 00:02:31,650 --> 00:02:34,830 by a single transit line, what will be the peak passenger 53 00:02:34,830 --> 00:02:37,800 flow entering the central business district. 54 00:02:37,800 --> 00:02:40,110 And that might give you an idea of what mode you need. 55 00:02:40,110 --> 00:02:40,609 Right? 56 00:02:40,609 --> 00:02:41,990 Can you run a bus system? 57 00:02:41,990 --> 00:02:46,350 Do you need a light rail, a BRT, a heavy rail? 58 00:02:46,350 --> 00:02:48,870 So it gives you some idea. 59 00:02:48,870 --> 00:02:50,790 And you might have some statistics 60 00:02:50,790 --> 00:02:53,220 about the city where you're being asked about, 61 00:02:53,220 --> 00:02:54,390 the question. 62 00:02:54,390 --> 00:02:56,100 And so you can make some assumptions. 63 00:02:56,100 --> 00:02:59,920 You can draw this on the back of a napkin and, you know, 64 00:02:59,920 --> 00:03:02,820 do some calculus with it if you want to. 65 00:03:02,820 --> 00:03:04,630 And that's what we're going to do. 66 00:03:04,630 --> 00:03:07,220 So I'm going to draw on the board a little bit. 67 00:03:14,180 --> 00:03:16,770 What do we have here? 68 00:03:16,770 --> 00:03:22,960 Yeah, I'll draw the same shape here for reference. 69 00:03:22,960 --> 00:03:28,760 So we have a cone-shaped sector or a pie-shaped sector. 70 00:03:28,760 --> 00:03:33,230 And there's some angle of that corridor, which 71 00:03:33,230 --> 00:03:36,560 is the catchment area over which people 72 00:03:36,560 --> 00:03:38,150 might walk to the service. 73 00:03:38,150 --> 00:03:41,780 The service, by the way, is along some line, 74 00:03:41,780 --> 00:03:49,290 and it reaches the city center, which we're calling the CBD. 75 00:03:49,290 --> 00:03:52,950 And at that center, there is some density, some population 76 00:03:52,950 --> 00:03:59,460 density, which we call P sub c, the population 77 00:03:59,460 --> 00:04:02,340 density at the center. 78 00:04:02,340 --> 00:04:10,040 And at any point along this pie or pie-shaped sector, 79 00:04:10,040 --> 00:04:16,220 this, the length of this arc, is r theta, 80 00:04:16,220 --> 00:04:24,110 where theta is the angle, and r is the radius from the CBD 81 00:04:24,110 --> 00:04:28,200 up to that point. 82 00:04:28,200 --> 00:04:30,240 So r is a variable, and it starts at 0, 83 00:04:30,240 --> 00:04:32,520 and it extends all the way up to the length 84 00:04:32,520 --> 00:04:36,580 of the corridor, which is L. L is 85 00:04:36,580 --> 00:04:40,370 the maximum value r can take. 86 00:04:40,370 --> 00:04:42,750 Does that make sense? 87 00:04:42,750 --> 00:04:44,282 Everybody following? 88 00:04:44,282 --> 00:04:50,750 OK, and then we take little slices of these arcs. 89 00:04:50,750 --> 00:04:59,600 And they have a very, very thin, infinitesimally small width, 90 00:04:59,600 --> 00:05:07,890 dr. And we can-- 91 00:05:07,890 --> 00:05:11,310 that sort of sets the stage for what we want to do here. 92 00:05:11,310 --> 00:05:12,360 Let's assume something. 93 00:05:12,360 --> 00:05:16,110 Let's start assuming the population density, which 94 00:05:16,110 --> 00:05:21,030 starts at a very high level in the center of the business 95 00:05:21,030 --> 00:05:23,772 district, starts dropping as you move out. 96 00:05:23,772 --> 00:05:24,480 That makes sense. 97 00:05:24,480 --> 00:05:24,690 Right? 98 00:05:24,690 --> 00:05:26,320 In most cities, that's what happens. 99 00:05:26,320 --> 00:05:28,580 We're going to assume that it drops linearly 100 00:05:28,580 --> 00:05:33,960 and that it reaches some value lower than Pc at some distance 101 00:05:33,960 --> 00:05:35,430 L from the CBD. 102 00:05:35,430 --> 00:05:43,060 And if we look at the distance from the CBD 103 00:05:43,060 --> 00:05:52,550 here, which we call r, and we start at 0, 0 is at the CBD. 104 00:05:52,550 --> 00:05:53,840 Right? 105 00:05:53,840 --> 00:05:58,150 We start with a population density of Pc. 106 00:05:58,150 --> 00:06:01,940 And we're going to assume it drops linearly to some amount. 107 00:06:01,940 --> 00:06:05,330 And at some point, we'll reach L. 108 00:06:05,330 --> 00:06:07,400 And that's where we stop the corridor. 109 00:06:07,400 --> 00:06:14,460 So this part doesn't really matter because the corridor 110 00:06:14,460 --> 00:06:17,310 doesn't serve the part. 111 00:06:17,310 --> 00:06:23,790 And the rate at which that population density declines, 112 00:06:23,790 --> 00:06:34,200 we will call delta P. OK, so total population 113 00:06:34,200 --> 00:06:37,240 density is decreasing as we move outwards from the center. 114 00:06:37,240 --> 00:06:39,900 All right, so let's start with what is 115 00:06:39,900 --> 00:06:41,820 the population in the corridor. 116 00:06:41,820 --> 00:06:42,320 Right? 117 00:06:42,320 --> 00:06:46,020 Because we need to know how many people are in that corridor. 118 00:06:46,020 --> 00:06:48,330 And then from that, we can calculate, 119 00:06:48,330 --> 00:06:50,160 based on some assumptions, how many people 120 00:06:50,160 --> 00:06:51,750 might access that line. 121 00:06:54,655 --> 00:06:57,850 So we'll start with calculating the population 122 00:06:57,850 --> 00:07:00,250 in that whole pie-shaped sector. 123 00:07:00,250 --> 00:07:07,190 All right, so call it population. 124 00:07:07,190 --> 00:07:13,060 So we'll take an integral from r equals 0 to r equals L, which 125 00:07:13,060 --> 00:07:14,320 is the length of the corridor. 126 00:07:20,340 --> 00:07:26,720 And we take r theta, which is the length of this arc, which 127 00:07:26,720 --> 00:07:29,920 it starts very small and gets longer and longer until we 128 00:07:29,920 --> 00:07:36,260 get to this part, which is L theta alone. 129 00:07:36,260 --> 00:07:36,760 Right? 130 00:07:36,760 --> 00:07:38,520 So this is the arc length. 131 00:07:43,760 --> 00:07:53,620 And we multiply by the arc width, which is dr. 132 00:07:53,620 --> 00:07:56,620 And we multiply by the population density. 133 00:07:56,620 --> 00:07:58,840 And the population density is a function 134 00:07:58,840 --> 00:08:00,330 of how far we are from the center. 135 00:08:00,330 --> 00:08:05,380 So that's going to be P of r. 136 00:08:05,380 --> 00:08:09,860 And we can call this graph P of r. 137 00:08:12,910 --> 00:08:14,320 The y value here is P of r. 138 00:08:14,320 --> 00:08:16,330 It starts at Pc, drops to 0. 139 00:08:16,330 --> 00:08:20,890 Or before reaching-- well, yeah, it 140 00:08:20,890 --> 00:08:24,010 doesn't get to 0 at the point of reaching L. Right? 141 00:08:24,010 --> 00:08:26,230 So it remains positive throughout the length 142 00:08:26,230 --> 00:08:28,810 of the corridor. 143 00:08:28,810 --> 00:08:32,200 All right, and now we can just, you know, do some math 144 00:08:32,200 --> 00:08:35,169 and calculate this. 145 00:08:35,169 --> 00:08:40,970 So I'll just run through it. 146 00:08:40,970 --> 00:08:47,350 So we have r theta dr. Let's substitute this function, which 147 00:08:47,350 --> 00:08:49,000 is the population density. 148 00:08:53,630 --> 00:08:55,610 We assume that it had this shape. 149 00:08:55,610 --> 00:08:59,010 So let's plug that in here. 150 00:08:59,010 --> 00:09:00,430 It's a linear function. 151 00:09:00,430 --> 00:09:03,570 So it starts at the center with a high number, 152 00:09:03,570 --> 00:09:12,771 and it decreases as a function of r at a rate of dP and times 153 00:09:12,771 --> 00:09:13,270 r. 154 00:09:13,270 --> 00:09:13,769 Right? 155 00:09:13,769 --> 00:09:17,180 So when r equals 0, there's no decrease. 156 00:09:17,180 --> 00:09:20,150 As you move this way, you multiply r times dP, 157 00:09:20,150 --> 00:09:22,940 and you get the difference between Pc 158 00:09:22,940 --> 00:09:26,240 and the point where you are. 159 00:09:26,240 --> 00:09:42,370 All right, here I'm just going to collect terms to make 160 00:09:42,370 --> 00:09:43,810 things look a little nicer. 161 00:10:02,310 --> 00:10:07,250 All right, so again, we're just distributing this times that 162 00:10:07,250 --> 00:10:08,250 and that times that. 163 00:10:08,250 --> 00:10:10,130 So we have now two integrals. 164 00:10:13,010 --> 00:10:15,170 We can take some constants out. 165 00:10:15,170 --> 00:10:18,862 So theta is a constant, and Pc is a constant. 166 00:10:18,862 --> 00:10:20,570 So we can take those out of the integral. 167 00:10:24,660 --> 00:10:28,560 And we continue integrating from 0 to L. 168 00:10:28,560 --> 00:10:31,820 But now we have a simple thing, r dr, 169 00:10:31,820 --> 00:10:33,570 which we know how to integrate. 170 00:10:33,570 --> 00:10:37,010 And then here, dr is-- 171 00:10:37,010 --> 00:10:38,480 sorry, dP is given. 172 00:10:38,480 --> 00:10:41,510 So we have an assumption about what that rate is right 173 00:10:41,510 --> 00:10:47,680 so dP is taken out as well as a constant. 174 00:10:47,680 --> 00:10:52,960 And we, again, integrate from 0 through L. And sorry, 175 00:10:52,960 --> 00:10:54,140 and theta is also constant. 176 00:10:54,140 --> 00:10:54,640 Right? 177 00:10:54,640 --> 00:10:56,600 So we can take that out. 178 00:10:56,600 --> 00:11:00,230 And we have r squared dr. 179 00:11:00,230 --> 00:11:03,220 So now it looks a lot simpler, and we 180 00:11:03,220 --> 00:11:06,340 can do the simple integral. 181 00:11:06,340 --> 00:11:06,840 Right? 182 00:11:06,840 --> 00:11:09,030 Integral of r dr is r squared over 2. 183 00:11:09,030 --> 00:11:11,640 Integral of r squared is r cubed over 3. 184 00:11:11,640 --> 00:11:13,860 So we can substitute that in. 185 00:11:16,450 --> 00:11:25,520 So we have Pc theta over 2 times r squared-- 186 00:11:25,520 --> 00:11:28,310 and r squared goes from 0 to L-- 187 00:11:30,960 --> 00:11:37,540 minus dP theta over 3. 188 00:11:37,540 --> 00:11:46,420 And we have r cubed going from 0 to L. 189 00:11:46,420 --> 00:11:52,750 And now we just simplify things, and we compute the going from 0 190 00:11:52,750 --> 00:11:54,460 to L on both sides. 191 00:11:54,460 --> 00:12:04,940 So we are left with Pc theta over 2 times L squared. 192 00:12:04,940 --> 00:12:08,510 When these ranges are 0, this term is 0, and that term is 0. 193 00:12:08,510 --> 00:12:12,160 So all that matters is plugging in-- substituting L for r. 194 00:12:12,160 --> 00:12:12,890 Right? 195 00:12:12,890 --> 00:12:15,510 And the terms of minus 0 are 0. 196 00:12:15,510 --> 00:12:17,710 So we don't need to write them. 197 00:12:21,730 --> 00:12:27,010 dP theta over 3 L cubed-- 198 00:12:33,702 --> 00:12:40,340 and just collecting terms, the ones that look similar-- 199 00:12:40,340 --> 00:12:47,983 Pc/2 minus dP L/3. 200 00:12:51,240 --> 00:12:54,420 OK, so this is the population in the corridor. 201 00:12:59,550 --> 00:13:02,560 And it's a function of the properties of the corridor. 202 00:13:02,560 --> 00:13:03,060 Right? 203 00:13:03,060 --> 00:13:06,700 So if the corridor is longer, then we 204 00:13:06,700 --> 00:13:09,160 have a higher population. 205 00:13:09,160 --> 00:13:11,885 If the angle of the corridor gets wider [INAUDIBLE] 206 00:13:11,885 --> 00:13:13,010 population in the corridor. 207 00:13:13,010 --> 00:13:14,470 That also makes sense. 208 00:13:14,470 --> 00:13:17,905 And then it also depends on the population of the city center-- 209 00:13:17,905 --> 00:13:20,830 the higher it is, the bigger the population in the center. 210 00:13:20,830 --> 00:13:24,760 And it depends on the rate at which the population decreases 211 00:13:24,760 --> 00:13:26,320 from the center-- 212 00:13:26,320 --> 00:13:28,117 the smaller the rate of decrease, 213 00:13:28,117 --> 00:13:29,200 the larger the population. 214 00:13:29,200 --> 00:13:30,075 Right? 215 00:13:30,075 --> 00:13:30,950 Does that make sense? 216 00:13:35,340 --> 00:13:39,000 OK, and now, in terms of peak passenger flow, 217 00:13:39,000 --> 00:13:44,880 we can look at units, but we'll have to add some assumptions. 218 00:13:44,880 --> 00:13:49,252 So actually, I think, at this point, 219 00:13:49,252 --> 00:13:50,960 I can probably stop the math on the board 220 00:13:50,960 --> 00:13:52,480 and just go straight to it. 221 00:13:52,480 --> 00:13:56,435 So this is the modeling part. 222 00:13:56,435 --> 00:13:58,810 And now we're just going to make some assumptions about-- 223 00:13:58,810 --> 00:14:02,200 given that the population in the corridor and some assumptions 224 00:14:02,200 --> 00:14:04,390 about what L and theta and Pc and dP 225 00:14:04,390 --> 00:14:10,150 are and some assumptions about the share of those people that 226 00:14:10,150 --> 00:14:15,750 would take transit, we'll look at what the peak passenger 227 00:14:15,750 --> 00:14:16,360 flow is. 228 00:14:16,360 --> 00:14:18,090 So let's go straight to it. 229 00:14:18,090 --> 00:14:19,960 Here we have the variables that I 230 00:14:19,960 --> 00:14:22,890 defined on the board and some additional ones. 231 00:14:22,890 --> 00:14:24,640 We have t, c, m, and p. 232 00:14:24,640 --> 00:14:25,140 Right? 233 00:14:25,140 --> 00:14:28,422 So t is the number of one-way trips per person per day. 234 00:14:28,422 --> 00:14:29,880 We're going to have to assume this. 235 00:14:32,580 --> 00:14:35,960 c is the share of trips that are inbound to the CBD, 236 00:14:35,960 --> 00:14:37,440 as opposed to going outbound. 237 00:14:37,440 --> 00:14:37,940 Right? 238 00:14:37,940 --> 00:14:43,260 So it's what percentage go inbound. 239 00:14:43,260 --> 00:14:46,260 m is the transit market share for CBD-bound trips. 240 00:14:46,260 --> 00:14:49,230 So some people will take cars or other modes. 241 00:14:49,230 --> 00:14:52,620 And we want to have some assumption about what 242 00:14:52,620 --> 00:14:57,330 percent of people that are going into the CBD 243 00:14:57,330 --> 00:15:00,840 will take transit, as opposed to other modes. 244 00:15:00,840 --> 00:15:01,890 So that's m. 245 00:15:01,890 --> 00:15:05,130 And p is the share of CBD-bound transit trips in the peak hour. 246 00:15:05,130 --> 00:15:06,720 So we want the peak hour flow. 247 00:15:06,720 --> 00:15:09,754 And maybe we don't want the whole day. 248 00:15:09,754 --> 00:15:10,920 We just want peak hour flow. 249 00:15:10,920 --> 00:15:12,940 So there's going to be some percentage of that. 250 00:15:12,940 --> 00:15:17,520 So here you have the same equations 251 00:15:17,520 --> 00:15:19,200 that I have on the board. 252 00:15:19,200 --> 00:15:22,740 And the peak passenger flow is what 253 00:15:22,740 --> 00:15:26,100 we have there, which is the population in the corridor 254 00:15:26,100 --> 00:15:28,320 multiplied by our four assumptions, our four 255 00:15:28,320 --> 00:15:30,600 factors that are going to convert 256 00:15:30,600 --> 00:15:32,550 the population in the whole corridor 257 00:15:32,550 --> 00:15:37,110 to what percent of people are going to go into the CBD taking 258 00:15:37,110 --> 00:15:38,250 transit. 259 00:15:38,250 --> 00:15:42,090 Again, this is a very simple, theoretical exercise, 260 00:15:42,090 --> 00:15:44,040 but it could be useful at some point. 261 00:15:46,880 --> 00:15:49,610 And we'll just plug in for two examples. 262 00:15:49,610 --> 00:15:51,500 We have two scenarios here-- one where 263 00:15:51,500 --> 00:15:54,830 the population density in the CBD is 10,000 and another one 264 00:15:54,830 --> 00:15:56,240 where it's 20,000. 265 00:15:56,240 --> 00:16:00,290 For reference, in New York City, the population density 266 00:16:00,290 --> 00:16:03,500 is about 28,000. 267 00:16:03,500 --> 00:16:08,840 So these are not as high as those very dense cities. 268 00:16:08,840 --> 00:16:11,334 AUDIENCE: But like what is 10,000 [INAUDIBLE]?? 269 00:16:11,334 --> 00:16:13,500 PROFESSOR: Depends how-- again, it's the same thing. 270 00:16:13,500 --> 00:16:15,900 Like it depends how far you go and what 271 00:16:15,900 --> 00:16:17,040 you define as the center. 272 00:16:17,040 --> 00:16:20,220 But here are some numbers. 273 00:16:20,220 --> 00:16:21,420 This could be some city. 274 00:16:21,420 --> 00:16:21,920 Right? 275 00:16:21,920 --> 00:16:27,270 These are typical of some cities. 276 00:16:27,270 --> 00:16:30,330 So here we have some decreases and the rate 277 00:16:30,330 --> 00:16:33,270 of decrease in the population from the center going out. 278 00:16:33,270 --> 00:16:38,706 We're assuming a 40-degree angle for the shape of this. 279 00:16:38,706 --> 00:16:40,080 If you have a city, you know, you 280 00:16:40,080 --> 00:16:42,690 have several lines going in radially. 281 00:16:42,690 --> 00:16:45,600 This transit corridor serves about a 40-degree angle. 282 00:16:45,600 --> 00:16:47,100 So-- 283 00:16:47,100 --> 00:16:49,452 AUDIENCE: Is that-- that seems like a lot. 284 00:16:49,452 --> 00:16:50,410 PROFESSOR: It is a lot. 285 00:16:50,410 --> 00:16:51,620 AUDIENCE: Like maybe a little too much. 286 00:16:51,620 --> 00:16:52,730 PROFESSOR: Well, it depends how many-- 287 00:16:52,730 --> 00:16:55,063 AUDIENCE: [INAUDIBLE] 40 degrees like in the inner part, 288 00:16:55,063 --> 00:16:57,495 but, you know, 40 degrees you go [INAUDIBLE] miles out. 289 00:16:57,495 --> 00:17:00,317 Now you're already making a [INAUDIBLE] arch. 290 00:17:00,317 --> 00:17:02,150 PROFESSOR: At the end, it sounds like a lot, 291 00:17:02,150 --> 00:17:03,608 but, at the beginning, not so much. 292 00:17:03,608 --> 00:17:09,569 If you think of a city, you know, and you have-- 293 00:17:09,569 --> 00:17:10,974 these are 90 degree angles. 294 00:17:10,974 --> 00:17:12,390 Right, and you add two more lines. 295 00:17:12,390 --> 00:17:13,390 That's 45. 296 00:17:13,390 --> 00:17:17,089 So we're how many lines would you have in a city? 297 00:17:17,089 --> 00:17:18,650 And it sort-- right? 298 00:17:18,650 --> 00:17:22,069 So it's not that unrealistic to think of some line 299 00:17:22,069 --> 00:17:26,599 with a 40-degree angle coming into the CBD from outside. 300 00:17:26,599 --> 00:17:31,770 And we're assuming a 10-mile length and factors-- 301 00:17:31,770 --> 00:17:37,730 so here we have 2.5, 0.2, 0.5, and 0.25. 302 00:17:37,730 --> 00:17:41,000 So that's the assumptions for the different constants 303 00:17:41,000 --> 00:17:45,590 to convert the whole population into the number of people 304 00:17:45,590 --> 00:17:49,250 going inbound in the morning rush taking transit. 305 00:17:49,250 --> 00:17:51,590 All right, so if we plug that in, 306 00:17:51,590 --> 00:17:56,150 we get a required capacity of 10,000 in the first scenario 307 00:17:56,150 --> 00:17:57,860 and 30,000 in the other scenario. 308 00:17:57,860 --> 00:18:00,180 And then from that, one could say, well, 309 00:18:00,180 --> 00:18:04,250 can I have a bus system serving 10,000 people per hour? 310 00:18:04,250 --> 00:18:07,820 Or can I have a bus system or a rail system 311 00:18:07,820 --> 00:18:10,742 serving 30,000 people per hour. 312 00:18:10,742 --> 00:18:13,330 That's accommodating a flow, which this is, again, 313 00:18:13,330 --> 00:18:14,930 a back-of-the-napkin calculation, 314 00:18:14,930 --> 00:18:19,190 but it gives you an idea of, based on the characteristics 315 00:18:19,190 --> 00:18:22,440 of some city, what we would need. 316 00:18:22,440 --> 00:18:25,840 So let's look at some theoretical capacities now. 317 00:18:25,840 --> 00:18:30,580 So in this slide, we are looking at kind 318 00:18:30,580 --> 00:18:35,870 of high-end, upper bounds almost on these modes. 319 00:18:35,870 --> 00:18:38,300 So for rail, let's assume a very long train, 320 00:18:38,300 --> 00:18:42,830 which is 10 cars long, and it's packed with 200 people per car. 321 00:18:42,830 --> 00:18:45,490 And it runs at a high frequency, every two minutes. 322 00:18:45,490 --> 00:18:47,740 That gives you 60,000 passengers per hour. 323 00:18:47,740 --> 00:18:50,830 So that's about as much as a metro system 324 00:18:50,830 --> 00:18:55,870 can provide in terms of capacity or a line, metro 325 00:18:55,870 --> 00:18:57,732 line, a single metro line. 326 00:18:57,732 --> 00:19:03,110 If we look at bus, so a full bus, 70 passengers, 327 00:19:03,110 --> 00:19:04,420 that's quite packed. 328 00:19:04,420 --> 00:19:06,340 You could run, if you have multiple bays, 329 00:19:06,340 --> 00:19:07,930 you could run 30-second headways. 330 00:19:07,930 --> 00:19:11,950 So if you see, BRT corridors have capacity to do that. 331 00:19:11,950 --> 00:19:15,340 Obviously, if they are queuing up to serve a single stop, 332 00:19:15,340 --> 00:19:16,720 that could not happen. 333 00:19:16,720 --> 00:19:19,660 But if you have multiple bays, that can happen. 334 00:19:19,660 --> 00:19:24,320 So based on that assumption, you can get 8,400. 335 00:19:24,320 --> 00:19:26,920 All right, so that's pushing the limits of bus. 336 00:19:26,920 --> 00:19:30,380 BRT-- BRT vehicles are longer. 337 00:19:30,380 --> 00:19:32,140 So you might fit 200 people in one 338 00:19:32,140 --> 00:19:35,890 of these double-articulated vehicles. 339 00:19:35,890 --> 00:19:41,230 You might have even 20-second headways with good facilities. 340 00:19:41,230 --> 00:19:44,050 That gives you 36,000 passengers per hour, again, 341 00:19:44,050 --> 00:19:45,730 pushing the limits here. 342 00:19:45,730 --> 00:19:48,460 Light rail, I have to say that I'm 343 00:19:48,460 --> 00:19:50,426 assuming a two-car train here, but we 344 00:19:50,426 --> 00:19:51,550 could have three-car train. 345 00:19:51,550 --> 00:19:53,008 So maybe I'm not pushing the limits 346 00:19:53,008 --> 00:19:54,890 as much on light rail here. 347 00:19:54,890 --> 00:19:58,120 But based on a two-car train assumption and 150 passengers 348 00:19:58,120 --> 00:20:01,420 per car, which is quite a bit for a light rail car, 349 00:20:01,420 --> 00:20:03,940 and assuming one-minute headway, that's 350 00:20:03,940 --> 00:20:05,320 18,000 passengers per hour. 351 00:20:05,320 --> 00:20:05,820 Right? 352 00:20:05,820 --> 00:20:07,430 So you can compare these. 353 00:20:07,430 --> 00:20:09,520 And again, these are all kind of upper bounds. 354 00:20:09,520 --> 00:20:12,580 Maybe light rail can be pushed a little higher. 355 00:20:12,580 --> 00:20:16,960 But it gives you an idea of what the theoretical capacities are. 356 00:20:16,960 --> 00:20:19,300 So now we have this back-of-the-envelope 357 00:20:19,300 --> 00:20:20,710 calculation-- 358 00:20:20,710 --> 00:20:22,780 10,000, 30,000. 359 00:20:22,780 --> 00:20:25,930 And what would we need for 10,000? 360 00:20:25,930 --> 00:20:30,760 Could we serve that 10,000 demand with a bus? 361 00:20:30,760 --> 00:20:32,530 Probably not. 362 00:20:32,530 --> 00:20:34,960 Do we need rail, BRT, or light rail? 363 00:20:34,960 --> 00:20:35,620 Probably so. 364 00:20:35,620 --> 00:20:37,110 So it gives you an idea. 365 00:20:37,110 --> 00:20:39,070 And if it's the 30,000 example, well, it 366 00:20:39,070 --> 00:20:41,500 looks like we're going to need rail. 367 00:20:41,500 --> 00:20:42,400 Right? 368 00:20:42,400 --> 00:20:45,366 Because BRT is kind of-- 369 00:20:45,366 --> 00:20:46,990 you're getting to the high end of that. 370 00:20:46,990 --> 00:20:50,280 So we're probably going to need rail for that. 371 00:20:50,280 --> 00:20:52,980 OK, and now let's look at what happens here in Boston. 372 00:20:52,980 --> 00:20:56,070 So it's much lower here, nowhere near 373 00:20:56,070 --> 00:20:58,400 the theoretical capacities, right, 374 00:20:58,400 --> 00:20:59,850 that we're talking about. 375 00:20:59,850 --> 00:21:02,790 These are peak-hour volumes for the different lines. 376 00:21:02,790 --> 00:21:06,570 So if we look at the Red Line, which is the most crowded line, 377 00:21:06,570 --> 00:21:09,160 in the Cambridge section, which is the most crowded, 378 00:21:09,160 --> 00:21:11,920 especially between Central Square and MIT-- actually, 379 00:21:11,920 --> 00:21:14,970 that's the highest point on the system-- 380 00:21:14,970 --> 00:21:19,740 we have almost 10,000 people per hour, passengers per hour. 381 00:21:19,740 --> 00:21:22,963 AUDIENCE: We saw in a different course-- 382 00:21:22,963 --> 00:21:24,504 one of the people from the T who came 383 00:21:24,504 --> 00:21:26,700 who was a graduate of the MST program 384 00:21:26,700 --> 00:21:28,457 showed slightly higher numbers than that. 385 00:21:28,457 --> 00:21:30,665 PROFESSOR: Yeah, so these numbers are a little dated. 386 00:21:30,665 --> 00:21:33,690 And it depends on how you define the peak hour. 387 00:21:33,690 --> 00:21:37,020 And you know, I could show you the peak 15 minutes, 388 00:21:37,020 --> 00:21:39,100 and that would be higher than this, for example. 389 00:21:39,100 --> 00:21:42,170 So if you look at the peak-- 390 00:21:42,170 --> 00:21:45,610 yeah, like the peak of the peak, it's even higher than this. 391 00:21:45,610 --> 00:21:49,316 But it still is the case that these are not approaching 392 00:21:49,316 --> 00:21:50,440 the theoretical capacities. 393 00:21:50,440 --> 00:21:52,445 And that's because we don't have, you know, 394 00:21:52,445 --> 00:21:57,030 two-minute headways and 10-car trains or yeah. 395 00:21:57,030 --> 00:22:01,270 So right, so the Orange Line, we have two sections here, 396 00:22:01,270 --> 00:22:04,920 the north and the southwest, similar numbers. 397 00:22:04,920 --> 00:22:06,395 Blue Line is slightly lower. 398 00:22:06,395 --> 00:22:11,300 On the Green Line, the branches do about, you know, 1,800, 399 00:22:11,300 --> 00:22:13,050 less than 2,000 each. 400 00:22:13,050 --> 00:22:17,570 So we're looking at a much lower number than the light rail 401 00:22:17,570 --> 00:22:20,620 theoretical capacity. 402 00:22:20,620 --> 00:22:23,510 And in the central subway where all these branches merge, 403 00:22:23,510 --> 00:22:27,955 we get a much higher demand, but it's still lower. 404 00:22:27,955 --> 00:22:30,080 Again, these vehicles are not running every minute. 405 00:22:30,080 --> 00:22:35,300 And in some cases, they are, but not consistently. 406 00:22:35,300 --> 00:22:40,114 And we don't fill all the vehicles, 407 00:22:40,114 --> 00:22:42,740 you know, to crush load for a whole hour. 408 00:22:42,740 --> 00:22:43,820 Right? 409 00:22:43,820 --> 00:22:46,520 So we're not getting that capacity. 410 00:22:46,520 --> 00:22:48,300 We're not delivering that capacity. 411 00:22:48,300 --> 00:22:49,841 So it gives you an idea where we are. 412 00:22:49,841 --> 00:22:52,650 If you've used the system here in Boston, 413 00:22:52,650 --> 00:22:56,520 you might relate taking the train at peak hour 414 00:22:56,520 --> 00:22:58,800 to what these numbers look like and think 415 00:22:58,800 --> 00:23:02,910 about what it would take to increase capacity in terms 416 00:23:02,910 --> 00:23:07,140 of more cars or a higher demand spread 417 00:23:07,140 --> 00:23:10,650 over a longer peak and things like that. 418 00:23:10,650 --> 00:23:14,250 OK, now let's look at worldwide urban rail systems. 419 00:23:14,250 --> 00:23:17,960 This is metro, and I have grouped it by continent. 420 00:23:17,960 --> 00:23:22,560 And it starts sort of before the 1900s. 421 00:23:22,560 --> 00:23:29,730 And you can see the earlier systems started in Europe-- 422 00:23:29,730 --> 00:23:32,590 London, Budapest. 423 00:23:32,590 --> 00:23:33,870 Right? 424 00:23:33,870 --> 00:23:36,540 And then North America followed closely after that. 425 00:23:36,540 --> 00:23:40,200 Boston takes the prize for the first subway. 426 00:23:40,200 --> 00:23:41,300 That's the Green Line. 427 00:23:41,300 --> 00:23:43,230 And even though we call it light rail here, 428 00:23:43,230 --> 00:23:46,480 we're calling it metro in the slide. 429 00:23:46,480 --> 00:23:49,320 So we have a few starts in North America, 430 00:23:49,320 --> 00:23:53,362 and it sort of falls flat in 1920s and 1930s. 431 00:23:53,362 --> 00:23:54,570 And then it takes off again-- 432 00:23:54,570 --> 00:23:56,300 1960s all the up. 433 00:23:56,300 --> 00:23:57,870 It keeps increasing. 434 00:23:57,870 --> 00:23:59,470 Asia was a little slower to start, 435 00:23:59,470 --> 00:24:01,980 but it's going up really fast. 436 00:24:01,980 --> 00:24:04,230 China is building a lot of metro. 437 00:24:04,230 --> 00:24:08,160 Africa, I think it has two systems right now. 438 00:24:08,160 --> 00:24:10,860 And there are no systems that I am aware of in Australia, 439 00:24:10,860 --> 00:24:13,050 but they are building one that should 440 00:24:13,050 --> 00:24:16,080 start before the end of this decade in Sydney. 441 00:24:16,080 --> 00:24:18,960 So they're going forward with that. 442 00:24:18,960 --> 00:24:21,240 So this is, you know-- 443 00:24:21,240 --> 00:24:23,040 you can see that we're building metro 444 00:24:23,040 --> 00:24:24,616 and that it goes together with what 445 00:24:24,616 --> 00:24:25,740 we said on the first class. 446 00:24:25,740 --> 00:24:27,130 Population is increasing. 447 00:24:27,130 --> 00:24:29,100 And especially urban population is increasing. 448 00:24:29,100 --> 00:24:32,610 People are moving away from rural areas into cities. 449 00:24:32,610 --> 00:24:36,290 The required capacities to have agglomeration benefits 450 00:24:36,290 --> 00:24:40,230 and avoid traffic and air pollution problems 451 00:24:40,230 --> 00:24:45,390 is requiring higher density, higher flow systems like metro. 452 00:24:45,390 --> 00:24:46,290 Questions? 453 00:24:46,290 --> 00:24:48,615 AUDIENCE: So you've got Australia has some very 454 00:24:48,615 --> 00:24:50,490 dense cities of course. 455 00:24:50,490 --> 00:24:51,670 How do they move people in? 456 00:24:51,670 --> 00:24:53,604 Like do they have BRT systems? 457 00:24:53,604 --> 00:24:55,020 PROFESSOR: Yeah, so they have BRT. 458 00:24:55,020 --> 00:24:56,280 They have light rail. 459 00:24:56,280 --> 00:24:58,310 AUDIENCE: Melbourne has the longest light rail 460 00:24:58,310 --> 00:24:59,500 network in the world. 461 00:24:59,500 --> 00:25:01,880 PROFESSOR: Yeah, and they have pretty good BRT. 462 00:25:01,880 --> 00:25:06,309 AUDIENCE: The bulk of Melbourne is electric commuter trains 463 00:25:06,309 --> 00:25:08,225 that operate at sort of subway-level headways. 464 00:25:08,225 --> 00:25:09,939 So it wouldn't be included in your-- 465 00:25:09,939 --> 00:25:11,980 PROFESSOR: So yeah, we're not counting them here. 466 00:25:11,980 --> 00:25:15,750 And so good point, it's hard to-- 467 00:25:15,750 --> 00:25:18,960 there are many ways of accounting for systems here. 468 00:25:18,960 --> 00:25:21,095 Sometimes, you know-- 469 00:25:21,095 --> 00:25:23,119 AUDIENCE: Commuter rail and heavy rail. 470 00:25:23,119 --> 00:25:24,660 PROFESSOR: Yeah, that might be mixed. 471 00:25:24,660 --> 00:25:26,700 Or do they count those as two or as one 472 00:25:26,700 --> 00:25:28,950 if there are different systems in one city? 473 00:25:28,950 --> 00:25:32,340 I've tried here to count each city as one system, 474 00:25:32,340 --> 00:25:34,150 even if there are multiple systems. 475 00:25:34,150 --> 00:25:39,240 So for example, I'm not counting the Tube in London 476 00:25:39,240 --> 00:25:41,880 and Docklands Light Railway as two systems. 477 00:25:41,880 --> 00:25:43,184 I'm counting them as one. 478 00:25:43,184 --> 00:25:44,850 But some people would count them as two. 479 00:25:44,850 --> 00:25:47,610 So there is some arbitrary choice 480 00:25:47,610 --> 00:25:50,370 to be made here in accounting, but it gives you 481 00:25:50,370 --> 00:25:52,860 an idea of what the trends are and how we are moving 482 00:25:52,860 --> 00:25:55,670 and how it started and where we are right now. 483 00:25:55,670 --> 00:25:58,932 Here's light rail, light rail and streetcar. 484 00:25:58,932 --> 00:26:00,390 So if we only looked at light rail, 485 00:26:00,390 --> 00:26:01,250 it wouldn't look like this. 486 00:26:01,250 --> 00:26:02,750 This includes streetcars, and that's 487 00:26:02,750 --> 00:26:11,750 why we start so early before the 1900s in Europe and Asia 488 00:26:11,750 --> 00:26:12,860 as well. 489 00:26:12,860 --> 00:26:15,860 And then North America really didn't follow until much 490 00:26:15,860 --> 00:26:17,070 more recently. 491 00:26:17,070 --> 00:26:20,370 AUDIENCE: Well, North America, it's like [INAUDIBLE].. 492 00:26:20,370 --> 00:26:23,027 If you include North America, every city had streetcars. 493 00:26:23,027 --> 00:26:25,235 PROFESSOR: Yeah, but they're not operating right now. 494 00:26:25,235 --> 00:26:25,730 [INTERPOSING VOICES] 495 00:26:25,730 --> 00:26:27,210 PROFESSOR: Yeah, but they're not currently operating. 496 00:26:27,210 --> 00:26:27,830 AUDIENCE: You would see [INAUDIBLE].. 497 00:26:27,830 --> 00:26:29,210 PROFESSOR: Yeah, so that's right. 498 00:26:29,210 --> 00:26:30,420 So that's another good point. 499 00:26:30,420 --> 00:26:32,810 So if we included things that were operating 500 00:26:32,810 --> 00:26:35,510 and no longer dropped, then this graph would go up 501 00:26:35,510 --> 00:26:36,140 and then down. 502 00:26:36,140 --> 00:26:37,580 And these are based on statistics 503 00:26:37,580 --> 00:26:40,850 of currently-operating systems that started at some point 504 00:26:40,850 --> 00:26:41,670 in the past. 505 00:26:41,670 --> 00:26:42,170 Right? 506 00:26:42,170 --> 00:26:44,400 So that's a good point. 507 00:26:44,400 --> 00:26:46,320 Thank you for bringing that up. 508 00:26:46,320 --> 00:26:51,980 And we see here Africa, Oceania, so Australia-- 509 00:26:51,980 --> 00:26:56,000 and let's see. 510 00:26:56,000 --> 00:26:59,000 Yeah, Africa, South America, and Australia 511 00:26:59,000 --> 00:27:00,140 don't have many systems. 512 00:27:00,140 --> 00:27:00,640 Right? 513 00:27:00,640 --> 00:27:05,990 So mainly, we have [INAUDIBLE] in Asia, 514 00:27:05,990 --> 00:27:08,400 and increasingly so in North America, 515 00:27:08,400 --> 00:27:11,060 but not at the same level as in Asia. 516 00:27:11,060 --> 00:27:15,360 Obviously, that has to do with the size of the cities 517 00:27:15,360 --> 00:27:17,370 and the number of large cities as well. 518 00:27:17,370 --> 00:27:24,210 So OK, capital costs, so these are based, once more, 519 00:27:24,210 --> 00:27:28,570 on the NTD numbers, the National Transit Database. 520 00:27:28,570 --> 00:27:33,560 These are 2013 numbers that were published in the 2015 APTA Fact 521 00:27:33,560 --> 00:27:34,100 Book. 522 00:27:34,100 --> 00:27:37,260 And you can download that on Stellar 523 00:27:37,260 --> 00:27:39,600 if you want to look at these in detail. 524 00:27:39,600 --> 00:27:43,740 So $18.2 billion was spent in capital costs, 525 00:27:43,740 --> 00:27:46,600 and we're going to look at how that cost was distributed. 526 00:27:46,600 --> 00:27:49,320 So if we look at by type, about a quarter of that 527 00:27:49,320 --> 00:27:53,430 was spent on purchasing vehicles or rehauling old vehicles 528 00:27:53,430 --> 00:27:56,010 for their midlife repair. 529 00:27:56,010 --> 00:28:00,480 And about 60% was spent on infrastructure and facilities. 530 00:28:00,480 --> 00:28:05,130 All right, so that could include new rail lines or extensions, 531 00:28:05,130 --> 00:28:11,880 repairs of those, bus stops, maintenance facilities, right, 532 00:28:11,880 --> 00:28:13,590 offices, things like that. 533 00:28:13,590 --> 00:28:17,940 And then about 15%, 16% was spent on other things. 534 00:28:17,940 --> 00:28:23,470 Those other things could be AFC systems, other things that 535 00:28:23,470 --> 00:28:24,860 are not vehicles or facilities. 536 00:28:24,860 --> 00:28:25,360 Right? 537 00:28:25,360 --> 00:28:28,540 So OK, by mode, about a quarter was 538 00:28:28,540 --> 00:28:32,980 spent on bus projects, about 35% on heavy rail projects, 539 00:28:32,980 --> 00:28:36,310 and then less, a little less, on commuter rail and light rail, 540 00:28:36,310 --> 00:28:38,500 and then 5% in other modes. 541 00:28:38,500 --> 00:28:41,870 And that's mostly paratransit or demand responsive, as they 542 00:28:41,870 --> 00:28:44,530 [INAUDIBLE] APTA Fact Book. 543 00:28:44,530 --> 00:28:51,150 So it gives you an idea of how the US, on any given year, 544 00:28:51,150 --> 00:28:54,990 distributes the capital expenditures. 545 00:28:54,990 --> 00:28:59,210 You might think that, from year to year, 546 00:28:59,210 --> 00:29:03,290 these costs vary a lot because capital investments are 547 00:29:03,290 --> 00:29:03,870 very lumpy. 548 00:29:03,870 --> 00:29:04,370 Right? 549 00:29:04,370 --> 00:29:05,630 You don't have them, and, all of a sudden, 550 00:29:05,630 --> 00:29:07,509 you invest a lot of money into a system. 551 00:29:07,509 --> 00:29:09,050 But because there are so many cities, 552 00:29:09,050 --> 00:29:12,110 they don't actually vary that much. 553 00:29:12,110 --> 00:29:14,840 And the other reason that doesn't happen 554 00:29:14,840 --> 00:29:19,030 is because a lot of the expenditures are gradual. 555 00:29:19,030 --> 00:29:21,880 So it takes several years to build new lines. 556 00:29:21,880 --> 00:29:25,360 So they are distributed over several years, 557 00:29:25,360 --> 00:29:26,740 instead of all at once. 558 00:29:29,610 --> 00:29:32,160 And here we have the breakdown by mode and type 559 00:29:32,160 --> 00:29:32,940 at the same time. 560 00:29:32,940 --> 00:29:38,070 So about-- the key takeaway here is so $4.5 billion 561 00:29:38,070 --> 00:29:40,980 was spent on bus projects. 562 00:29:40,980 --> 00:29:43,950 And about half of that was on vehicles and about half 563 00:29:43,950 --> 00:29:47,310 was on facilities, the repair facilities, bus stops, 564 00:29:47,310 --> 00:29:49,590 things of that nature. 565 00:29:49,590 --> 00:29:53,610 When we look at rail, the percent spent on vehicles 566 00:29:53,610 --> 00:29:54,400 is much lower. 567 00:29:54,400 --> 00:29:58,360 It's about 10% to 20%, 7% to 20% in this case, 568 00:29:58,360 --> 00:30:00,720 depending on the specific rail mode. 569 00:30:00,720 --> 00:30:04,842 And closer to 90% is spent on infrastructure and facilities. 570 00:30:04,842 --> 00:30:05,550 That makes sense. 571 00:30:05,550 --> 00:30:06,050 Right? 572 00:30:06,050 --> 00:30:07,350 You have to lay-- 573 00:30:07,350 --> 00:30:08,700 you have to sort of put rail. 574 00:30:08,700 --> 00:30:11,490 You have to build stations. 575 00:30:11,490 --> 00:30:13,510 The maintenance yards are more expensive. 576 00:30:13,510 --> 00:30:16,320 So these are bigger projects. 577 00:30:16,320 --> 00:30:21,010 To the extent that the right of way is a subway, 578 00:30:21,010 --> 00:30:22,030 then you have to dig. 579 00:30:22,030 --> 00:30:24,900 And so it's very expensive. 580 00:30:24,900 --> 00:30:29,160 And here you have the total expenditure, capital cost 581 00:30:29,160 --> 00:30:29,810 by mode. 582 00:30:29,810 --> 00:30:34,170 And so 4.5 on bus, 6.2 on heavy rail, 3 on commuter rail, 583 00:30:34,170 --> 00:30:35,250 3.5 on light rail. 584 00:30:38,016 --> 00:30:40,640 OK, and now focusing on infrastructure costs, 585 00:30:40,640 --> 00:30:44,715 so what drives the infrastructure costs? 586 00:30:44,715 --> 00:30:46,340 First, the type of construction, right, 587 00:30:46,340 --> 00:30:49,190 so if we look at heavy rail, you could 588 00:30:49,190 --> 00:30:52,430 build at grade, so leveled on the street 589 00:30:52,430 --> 00:30:55,430 or on sort of new lands that you don't 590 00:30:55,430 --> 00:30:58,100 have to acquire from anyone. 591 00:30:58,100 --> 00:30:59,600 That's the least expensive. 592 00:30:59,600 --> 00:31:00,736 Then you move to elevated. 593 00:31:00,736 --> 00:31:02,360 If you have to go over streets, and you 594 00:31:02,360 --> 00:31:07,100 have an elevated section, that's the second most expensive. 595 00:31:07,100 --> 00:31:09,370 And then subway tends to be the most expensive. 596 00:31:09,370 --> 00:31:11,390 And there are two ways of doing that. 597 00:31:11,390 --> 00:31:12,450 There's cut and cover. 598 00:31:12,450 --> 00:31:13,700 So that's a shallow tunnel. 599 00:31:13,700 --> 00:31:14,900 You dig a hole. 600 00:31:14,900 --> 00:31:18,140 You put the rail lines, and then you build a roof on top of it, 601 00:31:18,140 --> 00:31:20,150 and cars drive over it. 602 00:31:20,150 --> 00:31:21,470 That's shallow tunnel. 603 00:31:21,470 --> 00:31:24,200 And then there's deep tunnel, which is the most expensive. 604 00:31:24,200 --> 00:31:26,840 That tends to be with a tunnel boring machine. 605 00:31:26,840 --> 00:31:31,650 So you get these huge machines that drill the hole. 606 00:31:31,650 --> 00:31:35,300 They're very fun to learn about and look it. 607 00:31:35,300 --> 00:31:37,880 I encourage you to YouTube them. 608 00:31:37,880 --> 00:31:41,450 And they are usually built for the project. 609 00:31:41,450 --> 00:31:43,730 And when they finish digging, they 610 00:31:43,730 --> 00:31:45,350 are sort of taken off course. 611 00:31:45,350 --> 00:31:49,340 And they sort of remain interred at the level. 612 00:31:49,340 --> 00:31:52,790 So they're kind of used once, and there you go. 613 00:31:52,790 --> 00:31:57,860 So London has used a lot of these for their very deep Tube. 614 00:31:57,860 --> 00:32:00,563 And yeah, you should look at these on YouTube. 615 00:32:00,563 --> 00:32:02,354 AUDIENCE: In New York, it's kind of common. 616 00:32:02,354 --> 00:32:04,074 Right? 617 00:32:04,074 --> 00:32:04,990 PROFESSOR: Yeah, yeah. 618 00:32:04,990 --> 00:32:06,240 AUDIENCE: It basically goes along the avenues. 619 00:32:06,240 --> 00:32:08,131 PROFESSOR: Yeah, so in London, we have both. 620 00:32:08,131 --> 00:32:08,630 Right? 621 00:32:08,630 --> 00:32:11,294 So the earlier lines like the Central Line and the-- 622 00:32:11,294 --> 00:32:12,960 AUDIENCE: Yeah, the Circle and District. 623 00:32:12,960 --> 00:32:13,940 PROFESSOR: The Circle and District Lines 624 00:32:13,940 --> 00:32:15,770 are definitely cut and cover. 625 00:32:15,770 --> 00:32:17,731 And then the Silver Line is very deep. 626 00:32:17,731 --> 00:32:18,230 Right? 627 00:32:18,230 --> 00:32:20,530 And so that's a tunnel boring machine. 628 00:32:20,530 --> 00:32:22,530 AUDIENCE: Can you give a sense of the difference 629 00:32:22,530 --> 00:32:27,536 between let's say at grade, elevated, and shallow and deep? 630 00:32:27,536 --> 00:32:29,660 PROFESSOR: Maybe I should have shown some pictures. 631 00:32:29,660 --> 00:32:32,075 But at grade is just at street level. 632 00:32:32,075 --> 00:32:34,357 AUDIENCE: No, I know, but like the difference in cost. 633 00:32:34,357 --> 00:32:34,940 PROFESSOR: Oh. 634 00:32:34,940 --> 00:32:36,260 AUDIENCE: Like cost per mile. 635 00:32:36,260 --> 00:32:37,550 PROFESSOR: Oh, I'll give some examples 636 00:32:37,550 --> 00:32:38,570 in the next few slides. 637 00:32:38,570 --> 00:32:40,370 Yeah, that's a good segue. 638 00:32:40,370 --> 00:32:43,320 So the other key factors are land acquisition and clearance. 639 00:32:43,320 --> 00:32:45,140 So if you're building a new line, 640 00:32:45,140 --> 00:32:48,830 and you have to use eminent domain and sort of buy property 641 00:32:48,830 --> 00:32:51,710 from people who own them, who own that property, 642 00:32:51,710 --> 00:32:55,010 to build your new line, that costs some money. 643 00:32:55,010 --> 00:32:58,670 Also, the number, size, complexity, and length 644 00:32:58,670 --> 00:32:59,840 of the stations-- 645 00:32:59,840 --> 00:33:03,170 so station design is a key component here 646 00:33:03,170 --> 00:33:04,730 and the complexity of the system. 647 00:33:04,730 --> 00:33:05,930 Is this an independent line? 648 00:33:05,930 --> 00:33:08,250 Or are there many points of transfer? 649 00:33:08,250 --> 00:33:11,990 And how do you coordinate that? 650 00:33:11,990 --> 00:33:14,750 During construction, do you have to keep operating 651 00:33:14,750 --> 00:33:15,950 some parts of the line? 652 00:33:15,950 --> 00:33:17,630 How do you manage that? 653 00:33:17,630 --> 00:33:21,470 So if you look at, for example, the repair 654 00:33:21,470 --> 00:33:25,190 of the bridge, the Longfellow Bridge here in Boston, 655 00:33:25,190 --> 00:33:28,760 we wanted to do that with rail, for the most part, running. 656 00:33:28,760 --> 00:33:31,760 So that has increased the costs of that project. 657 00:33:31,760 --> 00:33:34,010 You couldn't just take the bridge down and rebuild it. 658 00:33:34,010 --> 00:33:37,490 And we wouldn't have the Red Line for a long time. 659 00:33:40,850 --> 00:33:44,162 OK, so here are some typical costs. 660 00:33:44,162 --> 00:33:45,370 Here are some, four examples. 661 00:33:45,370 --> 00:33:46,390 Right? 662 00:33:46,390 --> 00:33:47,980 And they vary a lot, but it gives you 663 00:33:47,980 --> 00:33:49,730 some idea of the magnitude of these costs. 664 00:33:49,730 --> 00:33:54,060 So Tren Urbano was one of the most recent systems. 665 00:33:54,060 --> 00:33:56,960 It was built in 2002 in San Juan, Puerto Rico. 666 00:33:56,960 --> 00:34:00,130 And it 50% at grade, about 40% elevated, 667 00:34:00,130 --> 00:34:03,400 and 10% subway, just a small section that was subway. 668 00:34:03,400 --> 00:34:06,620 It cost about $2 billion to build. 669 00:34:06,620 --> 00:34:08,830 And if you divide that by the length of the corridor, 670 00:34:08,830 --> 00:34:13,850 it comes out to $118 million per kilometer. 671 00:34:13,850 --> 00:34:14,350 Right? 672 00:34:14,350 --> 00:34:16,960 So it gives you an idea of what it takes. 673 00:34:16,960 --> 00:34:20,350 The MBTA Red Line in 1984, it was extended 674 00:34:20,350 --> 00:34:23,830 to Alewife from Harvard. 675 00:34:23,830 --> 00:34:27,520 And that was 5 kilometer extension, four stations. 676 00:34:27,520 --> 00:34:28,989 It was all subway. 677 00:34:28,989 --> 00:34:33,639 So it cost $0.6 billion of $600 million. 678 00:34:33,639 --> 00:34:37,710 And that comes up to $120 million per kilometer. 679 00:34:37,710 --> 00:34:41,199 All these figures are in the dollar numbers of the year 680 00:34:41,199 --> 00:34:45,159 that they were built. They're not adjusted for inflation. 681 00:34:45,159 --> 00:34:47,340 Then we have the Los Angeles MTA. 682 00:34:47,340 --> 00:34:50,730 That was a new system started in the late 1980s. 683 00:34:50,730 --> 00:34:53,580 It was all subway, 7 kilometers. 684 00:34:53,580 --> 00:34:57,870 $1.2 billion comes out to $180 million 685 00:34:57,870 --> 00:35:02,220 per kilometer, so same range, right, or similar. 686 00:35:02,220 --> 00:35:06,070 I mean, obviously, from 120 to 180, it's 60 million. 687 00:35:06,070 --> 00:35:08,490 That's a lot of money, but same ballpark, 688 00:35:08,490 --> 00:35:10,280 same order of magnitude. 689 00:35:10,280 --> 00:35:14,160 WMATA was cheaper on a unit cost basis. 690 00:35:14,160 --> 00:35:19,580 It was built over several decades, multiple phases, 100 691 00:35:19,580 --> 00:35:23,700 kilometers, so lots of stations, lots of distance covered. 692 00:35:23,700 --> 00:35:26,340 It's a mix of subway, elevated, and at grade. 693 00:35:26,340 --> 00:35:31,950 And it cost $6.4 billion, and that comes out to $60 million 694 00:35:31,950 --> 00:35:32,930 per kilometer. 695 00:35:32,930 --> 00:35:34,301 So yeah. 696 00:35:34,301 --> 00:35:34,800 Question? 697 00:35:34,800 --> 00:35:36,702 AUDIENCE: Can you say what is WMATA again. 698 00:35:36,702 --> 00:35:38,910 PROFESSOR: WMATA is the Washington metro, Washington, 699 00:35:38,910 --> 00:35:39,210 DC. 700 00:35:39,210 --> 00:35:39,810 AUDIENCE: Washington, DC. 701 00:35:39,810 --> 00:35:41,143 PROFESSOR: Washington, DC, yeah. 702 00:35:43,940 --> 00:35:45,440 Yeah, [INAUDIBLE]. 703 00:35:45,440 --> 00:35:53,910 AUDIENCE: [INAUDIBLE] So since this-- 704 00:35:53,910 --> 00:35:54,933 PROFESSOR: In one year. 705 00:35:54,933 --> 00:35:55,558 AUDIENCE: Yeah. 706 00:35:55,558 --> 00:35:57,540 So since this remains the same across years-- 707 00:35:57,540 --> 00:35:58,540 PROFESSOR: More or less. 708 00:35:58,540 --> 00:36:00,590 It varies, but it doesn't vary drastically 709 00:36:00,590 --> 00:36:02,050 is what I wanted to say. 710 00:36:02,050 --> 00:36:04,440 AUDIENCE: So would that mean that in fact we're 711 00:36:04,440 --> 00:36:07,605 declining the amount we spend on transportation because this 712 00:36:07,605 --> 00:36:11,260 is not inflation adjusted? 713 00:36:11,260 --> 00:36:13,010 PROFESSOR: This is not inflation adjusted. 714 00:36:13,010 --> 00:36:13,600 That's right. 715 00:36:13,600 --> 00:36:14,570 AUDIENCE: So it's the [INAUDIBLE] 716 00:36:14,570 --> 00:36:15,444 are declining, right? 717 00:36:15,444 --> 00:36:16,580 [INAUDIBLE] 718 00:36:16,580 --> 00:36:18,912 PROFESSOR: For heavy rail, yes. 719 00:36:18,912 --> 00:36:20,447 Yeah, maybe, yeah. 720 00:36:23,130 --> 00:36:25,040 We're building a lot of light rail and stuff. 721 00:36:25,040 --> 00:36:31,019 But there is still some expansion or repair or-- 722 00:36:31,019 --> 00:36:33,060 AUDIENCE: Does this mean the Second Avenue subway 723 00:36:33,060 --> 00:36:35,590 extension isn't in the same order of magnitude 724 00:36:35,590 --> 00:36:36,415 as any other-- 725 00:36:36,415 --> 00:36:38,790 PROFESSOR: I'm not familiar with the unit costs for that. 726 00:36:38,790 --> 00:36:40,650 AUDIENCE: I read it was like $2 billion per kilometer. 727 00:36:40,650 --> 00:36:42,840 PROFESSOR: Yeah, I mean it depends on many things. 728 00:36:42,840 --> 00:36:44,960 So-- 729 00:36:44,960 --> 00:36:46,395 AUDIENCE: Well, so recent lines, I 730 00:36:46,395 --> 00:36:48,846 mean Seattle was about $1 billion per. 731 00:36:48,846 --> 00:36:51,900 And San Francisco Central Subway was about $1 billion per. 732 00:36:51,900 --> 00:36:54,250 So modern subways are-- the stupid GLX, 733 00:36:54,250 --> 00:36:56,210 the Tremont extension was $500 million 734 00:36:56,210 --> 00:36:59,300 because the T can't procure a project out of their butts, 735 00:36:59,300 --> 00:37:02,610 but it's still still four times cheaper 736 00:37:02,610 --> 00:37:04,320 than Second Avenue subway. 737 00:37:04,320 --> 00:37:06,742 Well, but it's also being built at grade, 738 00:37:06,742 --> 00:37:07,950 and it gets the right of way. 739 00:37:11,582 --> 00:37:13,252 PROFESSOR: So many factors there. 740 00:37:13,252 --> 00:37:14,460 Let's look at light rail now. 741 00:37:14,460 --> 00:37:22,480 So LA MTA, 30 kilometers at grade, so a long distance, 742 00:37:22,480 --> 00:37:23,580 but all at grade-- 743 00:37:23,580 --> 00:37:27,940 $690 million, this includes stations and vehicles. 744 00:37:27,940 --> 00:37:31,100 That comes to $23 million per kilometer. 745 00:37:31,100 --> 00:37:33,680 So you can see that these costs are a lot lower. 746 00:37:33,680 --> 00:37:38,260 A lot of that has to do with it being at grade and also 747 00:37:38,260 --> 00:37:40,017 not being as complex of a system. 748 00:37:40,017 --> 00:37:41,100 Yeah, you have a question. 749 00:37:41,100 --> 00:37:44,980 AUDIENCE: Yeah, are these costs for just the parts 750 00:37:44,980 --> 00:37:49,446 that were built in the late 1980s and not over time. 751 00:37:49,446 --> 00:37:52,794 Like the most recent one is not included in that. 752 00:37:52,794 --> 00:37:54,710 PROFESSOR: Not including the most recent ones, 753 00:37:54,710 --> 00:37:56,620 that's correct, yeah. 754 00:37:56,620 --> 00:38:00,520 So Buffalo, 10 kilometers, but subway, 755 00:38:00,520 --> 00:38:02,830 cost almost the same, even though it 756 00:38:02,830 --> 00:38:04,030 was a third of the length. 757 00:38:04,030 --> 00:38:08,410 It comes out to $53 million per kilometer. 758 00:38:08,410 --> 00:38:10,360 Santa Clara, 30 kilometers at grade, 759 00:38:10,360 --> 00:38:16,677 so very similar to LA MTA, about $500 million, $16 million 760 00:38:16,677 --> 00:38:17,260 per kilometer. 761 00:38:17,260 --> 00:38:19,240 So you can see that, even in similar systems, 762 00:38:19,240 --> 00:38:21,610 there are other details that might affect cost 763 00:38:21,610 --> 00:38:24,020 significantly. 764 00:38:24,020 --> 00:38:26,680 And then Portland, mid 1980s, 24 kilometers 765 00:38:26,680 --> 00:38:33,040 at grade, $214 million, about $9 million per kilometer-- so 766 00:38:33,040 --> 00:38:37,450 that was the cheapest of these examples on a unit cost basis. 767 00:38:37,450 --> 00:38:41,200 AUDIENCE: Remind us what a light rail subway is again. 768 00:38:41,200 --> 00:38:46,020 PROFESSOR: So yeah, these are terms that are arbitrary, 769 00:38:46,020 --> 00:38:49,810 but our stereotypical definition that we are using here 770 00:38:49,810 --> 00:38:55,250 is a lot of it tends to be at grade, not always. 771 00:38:55,250 --> 00:38:56,590 It could be subway. 772 00:38:56,590 --> 00:39:00,460 It tends to have electricity from pickup lines on the top. 773 00:39:04,040 --> 00:39:07,730 You might have some sections where people board sort 774 00:39:07,730 --> 00:39:08,970 of straight from the streets. 775 00:39:08,970 --> 00:39:12,950 All right, so there is not a special platform where-- 776 00:39:12,950 --> 00:39:16,610 like a subway station where people tap into a gate 777 00:39:16,610 --> 00:39:18,110 and move in. 778 00:39:18,110 --> 00:39:19,252 AUDIENCE: This is not that. 779 00:39:19,252 --> 00:39:20,210 PROFESSOR: Right, yeah. 780 00:39:20,210 --> 00:39:20,950 AUDIENCE: Light rail subway. 781 00:39:20,950 --> 00:39:21,620 PROFESSOR: Yeah, yeah, yeah. 782 00:39:21,620 --> 00:39:21,910 So-- 783 00:39:21,910 --> 00:39:22,570 AUDIENCE: People are walking into the-- 784 00:39:22,570 --> 00:39:24,080 PROFESSOR: Yeah, so when we look at heavy rail, 785 00:39:24,080 --> 00:39:26,150 we're thinking about things like the Red Line 786 00:39:26,150 --> 00:39:27,942 and the Blue Line and the Orange Line here. 787 00:39:27,942 --> 00:39:29,316 When we look at light rail, we're 788 00:39:29,316 --> 00:39:31,800 thinking more like streetcars and the Green Line here 789 00:39:31,800 --> 00:39:33,721 in Boston. 790 00:39:33,721 --> 00:39:34,220 Right? 791 00:39:34,220 --> 00:39:35,977 So the Green Line is more like light rail. 792 00:39:35,977 --> 00:39:37,560 Even though it has the subway portion, 793 00:39:37,560 --> 00:39:42,160 it's operating like a light rail in some part, subway part. 794 00:39:42,160 --> 00:39:49,050 Yeah, but if we look at other countries, 795 00:39:49,050 --> 00:39:51,300 some systems are called light rail. 796 00:39:51,300 --> 00:39:54,450 Docklands Light Rail in London, false-- 797 00:39:54,450 --> 00:39:56,340 if we describe it, we would classify it 798 00:39:56,340 --> 00:39:58,920 as heavy rail with these descriptions. 799 00:39:58,920 --> 00:40:03,150 And in Asia, we see a lot of systems 800 00:40:03,150 --> 00:40:06,720 called light rail, which are, by these descriptions, heavy rail. 801 00:40:06,720 --> 00:40:12,090 So the terms are used with caution. 802 00:40:12,090 --> 00:40:17,180 OK, busways, so the South Boston Transitway was 2 kilometers. 803 00:40:17,180 --> 00:40:22,910 That was the Silver Line tunnel, right, cost $606 million-- 804 00:40:22,910 --> 00:40:25,800 that does include the purchase of vehicles-- 805 00:40:25,800 --> 00:40:30,880 and so $303, of course, million per kilometer. 806 00:40:30,880 --> 00:40:35,000 TransMilenio was 36 kilometers at grade in the early 2000s, 807 00:40:35,000 --> 00:40:39,380 $200 million, $5 million per kilometer. 808 00:40:39,380 --> 00:40:43,050 Seattle, 2 kilometer of bus tunnel, $319-- 809 00:40:43,050 --> 00:40:43,880 $160. 810 00:40:43,880 --> 00:40:46,490 So the takeaway here is, if you're making a tunnel, 811 00:40:46,490 --> 00:40:49,351 you can see that the first and third examples are tunnels. 812 00:40:49,351 --> 00:40:49,850 Right? 813 00:40:49,850 --> 00:40:52,670 And they cost a lot more in the hundreds of millions. 814 00:40:52,670 --> 00:40:55,280 And the three that are at grade, second, fourth, 815 00:40:55,280 --> 00:41:00,440 and fifth examples, two of them in the 36, 35 kilometer, 816 00:41:00,440 --> 00:41:03,220 and this one a little shorter, are 817 00:41:03,220 --> 00:41:09,746 in the two-digit, single-digit million dollars per kilometer. 818 00:41:09,746 --> 00:41:11,329 AUDIENCE: TransMilenio, you're talking 819 00:41:11,329 --> 00:41:14,430 about like the first, initial-- 820 00:41:14,430 --> 00:41:16,470 PROFESSOR: Because they've kept growing 821 00:41:16,470 --> 00:41:18,180 is what you're saying, right? 822 00:41:18,180 --> 00:41:19,410 I don't know-- 823 00:41:19,410 --> 00:41:24,390 I don't remember what range of years this includes exactly. 824 00:41:24,390 --> 00:41:28,950 But yeah, I'm saying, you know, whatever 825 00:41:28,950 --> 00:41:32,590 they were sort of starting to operate in 2001. 826 00:41:32,590 --> 00:41:34,680 Yeah. 827 00:41:34,680 --> 00:41:36,790 And you can see here 36 kilometers at grade. 828 00:41:36,790 --> 00:41:38,890 So we could then go look and see what 829 00:41:38,890 --> 00:41:41,200 is that 36 kilometers at grade that they 830 00:41:41,200 --> 00:41:43,390 built around 2001 to see. 831 00:41:43,390 --> 00:41:45,370 If they've expanded more recently, 832 00:41:45,370 --> 00:41:46,820 that's probably not included here. 833 00:41:46,820 --> 00:41:47,320 Yeah. 834 00:41:49,910 --> 00:41:51,590 Any other questions? 835 00:41:51,590 --> 00:41:54,920 So these are examples to give you an idea of what it costs 836 00:41:54,920 --> 00:41:56,920 or what it has cost. 837 00:41:56,920 --> 00:42:03,150 OK, generic costs for rail, so it 838 00:42:03,150 --> 00:42:05,690 costs from about $2 to $2.5 million 839 00:42:05,690 --> 00:42:08,450 per car for a heavy rail train. 840 00:42:08,450 --> 00:42:12,320 So if you calculate what capacity you need, and you 841 00:42:12,320 --> 00:42:14,870 think you need a fleet of 200 vehicles, 842 00:42:14,870 --> 00:42:17,545 you can take these numbers and multiply by $2.5 million. 843 00:42:17,545 --> 00:42:18,920 You have some idea of how much it 844 00:42:18,920 --> 00:42:21,530 costs to purchase your fleet. 845 00:42:21,530 --> 00:42:31,160 Some recent-- a recent CNR, it was a large procurement. 846 00:42:31,160 --> 00:42:32,870 And that helps bring the unit cost down. 847 00:42:32,870 --> 00:42:38,300 So 284 cars replaced Orange and Red Line vehicles. 848 00:42:38,300 --> 00:42:42,140 Siemens in 2010, it was about $2.3 million per car. 849 00:42:42,140 --> 00:42:45,650 That was for 94 Blue Line cars. 850 00:42:45,650 --> 00:42:50,240 Then we have Hyundai Rotem, $2.3 million 851 00:42:50,240 --> 00:42:53,240 per car-- these are 75 commuter rail cars, 852 00:42:53,240 --> 00:42:55,590 rather than heavy rail cars. 853 00:42:55,590 --> 00:43:00,740 Breda, $2 million per car-- these are the Green Line 854 00:43:00,740 --> 00:43:02,850 cars, 95 of them. 855 00:43:02,850 --> 00:43:08,450 And the last example are locomotives for commuter rail, 856 00:43:08,450 --> 00:43:10,710 $5.7 million per locomotive. 857 00:43:10,710 --> 00:43:15,950 So they cost more, but these are not all passenger cars. 858 00:43:15,950 --> 00:43:22,510 These are the locomotives for the commuter rail system. 859 00:43:22,510 --> 00:43:26,450 And for bus, so a standard bus, a CNG bus, 860 00:43:26,450 --> 00:43:29,350 the Compressed Natural Gas, these 861 00:43:29,350 --> 00:43:31,600 are, again, recent MBTA orders-- 862 00:43:31,600 --> 00:43:36,910 the generic cost, $300,000, $350,000 about per bus. 863 00:43:36,910 --> 00:43:40,590 There was an order to NABI, and it 864 00:43:40,590 --> 00:43:42,640 was for 300 vehicles in 2004. 865 00:43:42,640 --> 00:43:47,920 And that was $320,000 per bus. 866 00:43:47,920 --> 00:43:53,590 Trolley, 40-foot trolley is about $1 million per trolley. 867 00:43:53,590 --> 00:43:58,698 These are the sort of electric Silver Line vehicles I think. 868 00:43:58,698 --> 00:44:00,410 I'm pretty sure. 869 00:44:00,410 --> 00:44:08,150 The articulated, 60-foot CNG buses, 44 vehicles in 2003, 870 00:44:08,150 --> 00:44:10,904 and the articulated, dual-mode, 60-foot buses-- 871 00:44:10,904 --> 00:44:13,070 this is Silver Line, the one that runs in the tunnel 872 00:44:13,070 --> 00:44:15,230 and goes out to the airport-- 873 00:44:15,230 --> 00:44:18,840 $1.6 million, 32 vehicles, 2004. 874 00:44:18,840 --> 00:44:19,340 Yeah. 875 00:44:19,340 --> 00:44:21,090 AUDIENCE: Maybe this is already happening, 876 00:44:21,090 --> 00:44:23,040 but is there any move for different transport 877 00:44:23,040 --> 00:44:24,940 organizations to consolidate their designs 878 00:44:24,940 --> 00:44:28,400 and like be able to reuse vehicle design and bus design? 879 00:44:28,400 --> 00:44:32,547 Like why are there separate things for all cities? 880 00:44:32,547 --> 00:44:34,630 PROFESSOR: That's a good question, but a lot of it 881 00:44:34,630 --> 00:44:36,070 is cultural. 882 00:44:36,070 --> 00:44:39,820 There are-- so for example, Green Line here 883 00:44:39,820 --> 00:44:43,670 has sort of specific needs with respect to like turning radius, 884 00:44:43,670 --> 00:44:50,890 and they have a lot of steep grades in some sections. 885 00:44:50,890 --> 00:44:54,430 They're also used to a certain type of vehicle. 886 00:44:54,430 --> 00:44:58,570 So they're more comfortable procuring 887 00:44:58,570 --> 00:45:01,500 vehicles that are similar to what they've had in the past. 888 00:45:01,500 --> 00:45:05,710 So there's some resistance to trying something very new all 889 00:45:05,710 --> 00:45:08,140 of a sudden. 890 00:45:08,140 --> 00:45:13,030 But there are some vehicles that are very common, especially 891 00:45:13,030 --> 00:45:14,610 in newer systems. 892 00:45:14,610 --> 00:45:16,407 And they tend to be a little cheaper. 893 00:45:16,407 --> 00:45:19,120 So yeah, if you can get big orders, 894 00:45:19,120 --> 00:45:20,620 or if you're a small system, and you 895 00:45:20,620 --> 00:45:24,280 can partner with someone else when they are procuring 896 00:45:24,280 --> 00:45:26,320 to procure additional vehicles-- instead 897 00:45:26,320 --> 00:45:29,770 of you doing 10 yourself, you add yourself 898 00:45:29,770 --> 00:45:31,140 to an order of 100. 899 00:45:31,140 --> 00:45:33,080 You get a lower price. 900 00:45:33,080 --> 00:45:34,430 So yeah? 901 00:45:34,430 --> 00:45:35,930 AUDIENCE: But then there's certainly 902 00:45:35,930 --> 00:45:38,570 two examples of that in streetcars, the most recent 903 00:45:38,570 --> 00:45:42,470 one, which was when the Boston and San Francisco bought 904 00:45:42,470 --> 00:45:44,510 a similar design for streetcars in the '70s, 905 00:45:44,510 --> 00:45:46,730 and both got a crappy product. 906 00:45:46,730 --> 00:45:50,390 But 50 years before when the PCC cars, the ones that still 907 00:45:50,390 --> 00:45:52,910 run down in Mattapan, was a sort of standardized streetcar 908 00:45:52,910 --> 00:45:55,920 design over most of the country, and that worked really well. 909 00:45:55,920 --> 00:45:57,420 So it has been done, but-- 910 00:45:57,420 --> 00:45:59,680 PROFESSOR: Yeah, and still is done, I think. 911 00:45:59,680 --> 00:46:00,320 Yeah, yeah. 912 00:46:00,320 --> 00:46:03,470 AUDIENCE: But each system, I think, has so many [INAUDIBLE] 913 00:46:03,470 --> 00:46:04,511 things. 914 00:46:04,511 --> 00:46:06,010 But when it comes to buses, then you 915 00:46:06,010 --> 00:46:09,851 do see the same types of buses like in many systems. 916 00:46:09,851 --> 00:46:11,600 In Europe, you only have like two or three 917 00:46:11,600 --> 00:46:13,460 manufacturers that make them all. 918 00:46:13,460 --> 00:46:14,330 In the US, as well. 919 00:46:14,330 --> 00:46:17,240 PROFESSOR: And big procurements, not so much for bus, 920 00:46:17,240 --> 00:46:19,070 but for rail, a lot of big procurements 921 00:46:19,070 --> 00:46:21,890 have rules requiring local manufacturing. 922 00:46:21,890 --> 00:46:28,420 So yeah, you get a Chinese company to do the latest-- 923 00:46:28,420 --> 00:46:29,490 where was that example-- 924 00:46:29,490 --> 00:46:32,355 CNR, right, but I'm pretty sure that a lot of the manufacture 925 00:46:32,355 --> 00:46:36,270 is happening in Massachusetts or close by. 926 00:46:36,270 --> 00:46:43,940 So OK, typical capital costs per passenger mile, 927 00:46:43,940 --> 00:46:46,940 so looking at a range of examples, 928 00:46:46,940 --> 00:46:50,810 it will cost [INAUDIBLE] going anywhere from $0.05 to $0.10. 929 00:46:50,810 --> 00:46:51,726 So if you have-- 930 00:46:51,726 --> 00:46:53,600 again, if you're doing the napkin calculation 931 00:46:53,600 --> 00:46:59,600 on a new system or new line, you might think how many 932 00:46:59,600 --> 00:47:01,980 passenger miles do I have. 933 00:47:01,980 --> 00:47:05,040 You could multiply by this to figure out how much you could 934 00:47:05,040 --> 00:47:06,900 expect to spend on vehicles. 935 00:47:06,900 --> 00:47:09,430 And for infrastructure, that could range anywhere from $0.01 936 00:47:09,430 --> 00:47:12,461 to $1 because there are so many ways of doing this. 937 00:47:12,461 --> 00:47:12,960 Right? 938 00:47:12,960 --> 00:47:14,126 It could be a subway. 939 00:47:14,126 --> 00:47:15,000 It could be at grade. 940 00:47:15,000 --> 00:47:16,980 It could be a bus. 941 00:47:16,980 --> 00:47:18,150 Or it could be rail. 942 00:47:18,150 --> 00:47:23,350 So it's very variable, and you need to get into the specifics. 943 00:47:23,350 --> 00:47:25,270 OK, now let's look at operating costs. 944 00:47:25,270 --> 00:47:27,070 We've been talking about capital costs. 945 00:47:27,070 --> 00:47:29,180 Let's look at operating costs. 946 00:47:29,180 --> 00:47:33,640 So in the US in 2013, we spent $42.2 billion 947 00:47:33,640 --> 00:47:35,330 across the industry. 948 00:47:35,330 --> 00:47:39,910 And if we divide that by type, about 44% 949 00:47:39,910 --> 00:47:43,600 was spent in vehicle operations, and the rest of it 950 00:47:43,600 --> 00:47:46,000 was more or less evenly distributed between vehicle 951 00:47:46,000 --> 00:47:48,250 maintenance, other kinds of maintenance 952 00:47:48,250 --> 00:47:51,970 like facility maintenance, administration, 953 00:47:51,970 --> 00:47:53,900 and purchased transportation. 954 00:47:53,900 --> 00:47:57,760 Purchased transportation is when a public agency outsources 955 00:47:57,760 --> 00:48:01,390 the operation of some mode. 956 00:48:01,390 --> 00:48:06,550 Most of this 14% is paratransit, so on-demand transportation 957 00:48:06,550 --> 00:48:10,900 for the handicapped and other groups. 958 00:48:10,900 --> 00:48:13,120 Some of it is commuter rail. 959 00:48:13,120 --> 00:48:17,740 So for example, the MBTA operates commuter rail 960 00:48:17,740 --> 00:48:19,520 through a third party. 961 00:48:19,520 --> 00:48:25,530 All right, OK, by mode, about half is spent on buses-- 962 00:48:25,530 --> 00:48:28,530 makes sense because there are more bus systems and, even 963 00:48:28,530 --> 00:48:31,140 in cities that have rail, but the bus systems 964 00:48:31,140 --> 00:48:34,800 are quite large, and they cover a wide area-- 965 00:48:34,800 --> 00:48:38,030 about 20% on heavy rail, 13% commuter rail, 966 00:48:38,030 --> 00:48:39,880 and much less on light rail. 967 00:48:39,880 --> 00:48:43,050 Paratransit is about 12%, 3% for other modes. 968 00:48:43,050 --> 00:48:46,302 Other modes is things like ferries and other modes not 969 00:48:46,302 --> 00:48:48,510 included in the traditional bus, heavy rail, commuter 970 00:48:48,510 --> 00:48:49,674 rail, light rail. 971 00:48:49,674 --> 00:48:58,050 So OK, and let's look at vehicles-- 972 00:48:58,050 --> 00:48:59,790 sorry, employees per running vehicle. 973 00:48:59,790 --> 00:49:02,550 So by mode, how many employees would you 974 00:49:02,550 --> 00:49:06,590 have to have to operate, to run a system? 975 00:49:06,590 --> 00:49:09,600 So paratransit, about 1.6 per vehicle-- 976 00:49:09,600 --> 00:49:12,210 obviously, you have one person driving a paratransit vehicle. 977 00:49:12,210 --> 00:49:13,740 That person has an eight-hour shift, 978 00:49:13,740 --> 00:49:15,690 and you run that vehicle for a longer time. 979 00:49:15,690 --> 00:49:20,350 So you need more people than vehicles. 980 00:49:20,350 --> 00:49:23,670 Bus tends to be higher because bus systems tend 981 00:49:23,670 --> 00:49:27,600 to start much earlier and end service much later. 982 00:49:27,600 --> 00:49:30,990 And you also have maintenance yards and refueling facilities. 983 00:49:30,990 --> 00:49:31,490 Right? 984 00:49:31,490 --> 00:49:35,250 So you have bus stops to clean. 985 00:49:35,250 --> 00:49:39,090 So it's a more intense operation. 986 00:49:39,090 --> 00:49:43,600 Commuter rail, 4.7-- you have the people driving 987 00:49:43,600 --> 00:49:44,410 the locomotives. 988 00:49:44,410 --> 00:49:48,690 You have the attendants looking at tickets. 989 00:49:48,690 --> 00:49:52,960 You have rail to maintain and stations to maintain. 990 00:49:52,960 --> 00:49:54,600 So that's commuter rail. 991 00:49:54,600 --> 00:49:56,490 Heavy rail is 5.5. 992 00:49:56,490 --> 00:49:59,470 Again, it starts early, runs late. 993 00:49:59,470 --> 00:50:02,580 You have a lot of stations to maintain, more so than commuter 994 00:50:02,580 --> 00:50:07,020 rail, so 5.5. 995 00:50:07,020 --> 00:50:08,370 Light rail is 6.8. 996 00:50:08,370 --> 00:50:14,340 Part of the recent light rail is high is because many systems 997 00:50:14,340 --> 00:50:16,310 have one driver per car. 998 00:50:16,310 --> 00:50:19,320 Or some systems, at least, have one driver per car. 999 00:50:19,320 --> 00:50:21,490 So here in the Green Line, we have that. 1000 00:50:21,490 --> 00:50:21,990 Right? 1001 00:50:21,990 --> 00:50:25,940 So if you have a two-car train, you have two drivers. 1002 00:50:25,940 --> 00:50:29,280 And again, it starts service early, ends service late. 1003 00:50:29,280 --> 00:50:32,340 So you [INAUDIBLE]. 1004 00:50:32,340 --> 00:50:35,160 You need multiple shifts to run the whole day. 1005 00:50:35,160 --> 00:50:37,380 And you have maintenance of stations. 1006 00:50:37,380 --> 00:50:40,290 Light rail stations [INAUDIBLE] be shorter than heavy rail. 1007 00:50:40,290 --> 00:50:42,880 So they have more stations to take care of. 1008 00:50:42,880 --> 00:50:45,990 And then there's maintenance, vehicle maintenance 1009 00:50:45,990 --> 00:50:48,010 and facility maintenance. 1010 00:50:48,010 --> 00:50:52,450 [INAUDIBLE] is about three employees per vehicle. 1011 00:50:52,450 --> 00:50:58,245 OK, so comparing, these numbers below are from a 1970 study 1012 00:50:58,245 --> 00:50:59,670 on employees per vehicle. 1013 00:50:59,670 --> 00:51:01,500 And it's a comparison of bus and rail. 1014 00:51:01,500 --> 00:51:06,540 So what's neat about the comparison at the bottom 1015 00:51:06,540 --> 00:51:12,380 is that we are distributing the costs of a vehicle 1016 00:51:12,380 --> 00:51:15,590 not only by mode, but also by what type of expense. 1017 00:51:15,590 --> 00:51:16,090 Right? 1018 00:51:16,090 --> 00:51:19,430 So at the top, we're saying bus is this much. 1019 00:51:19,430 --> 00:51:23,660 Here we divide it by vehicle operation i.e. driving, 1020 00:51:23,660 --> 00:51:26,460 vehicle maintenance, management and control, 1021 00:51:26,460 --> 00:51:28,400 fare collection, way maintenance, 1022 00:51:28,400 --> 00:51:30,170 and then you have the total number. 1023 00:51:30,170 --> 00:51:32,530 So it is from an earlier study. 1024 00:51:32,530 --> 00:51:37,430 But for vehicle maintenance, it's more or less the same 1025 00:51:37,430 --> 00:51:39,650 on a unit cost basis. 1026 00:51:39,650 --> 00:51:45,020 For bus, this is per car, and that's per vehicle. 1027 00:51:45,020 --> 00:51:51,190 So you have about 2.2 drivers per bus for bus systems, 1028 00:51:51,190 --> 00:51:55,460 about 1 for rail systems. 1029 00:51:55,460 --> 00:51:58,760 This is driving, but also other things. 1030 00:51:58,760 --> 00:52:01,200 Management and control is about the same. 1031 00:52:01,200 --> 00:52:06,180 And then the driver takes care of fare collection on bus. 1032 00:52:06,180 --> 00:52:07,790 But in rail, you have people that 1033 00:52:07,790 --> 00:52:11,460 have to sort of be station attendants and help people out. 1034 00:52:11,460 --> 00:52:16,806 You might have an office where people can complain about their 1035 00:52:16,806 --> 00:52:18,680 needing a rebate because their machine didn't 1036 00:52:18,680 --> 00:52:19,430 work or something. 1037 00:52:19,430 --> 00:52:22,760 They lost value on their fare card. 1038 00:52:22,760 --> 00:52:25,220 So way maintenance is more expensive, 1039 00:52:25,220 --> 00:52:28,070 whereas way maintenance on buses on the streets, 1040 00:52:28,070 --> 00:52:31,280 that's not even included in the cost for running bus systems 1041 00:52:31,280 --> 00:52:32,360 because that's-- 1042 00:52:32,360 --> 00:52:34,380 the Public Works Department takes care of that. 1043 00:52:34,380 --> 00:52:38,300 So overall, it's higher for rail than bus. 1044 00:52:38,300 --> 00:52:40,380 But you have some-- 1045 00:52:40,380 --> 00:52:45,380 yeah, so you do have a higher productivity for metro 1046 00:52:45,380 --> 00:52:49,860 if you measure it in passenger miles per revenue vehicle hour. 1047 00:52:49,860 --> 00:52:52,640 Yeah, so if you have any questions, 1048 00:52:52,640 --> 00:52:55,900 I'll take them, questions on the homework or on this lecture 1049 00:52:55,900 --> 00:52:58,360 or on the previous lectures. 1050 00:52:58,360 --> 00:53:00,866 And if you don't have questions, you may leave. 1051 00:53:04,770 --> 00:53:07,146 AUDIENCE: Is that [INAUDIBLE]? 1052 00:53:07,146 --> 00:53:08,770 PROFESSOR: You were first, yeah, Scott. 1053 00:53:08,770 --> 00:53:12,346 AUDIENCE: [INAUDIBLE] on slide 18 looking at capital cost 1054 00:53:12,346 --> 00:53:17,004 over passenger mile, do you need to pick a time period in order 1055 00:53:17,004 --> 00:53:18,620 to make that calculation. 1056 00:53:18,620 --> 00:53:20,060 PROFESSOR: This is very general. 1057 00:53:20,060 --> 00:53:24,020 So this is sort of high level, looking at the whole industry 1058 00:53:24,020 --> 00:53:29,010 and looking at like capital projects. 1059 00:53:29,010 --> 00:53:32,760 So you know, if you look at how much it costs 1060 00:53:32,760 --> 00:53:38,160 to build a new line, a new light rail line in some city, 1061 00:53:38,160 --> 00:53:40,860 and then you see how many people are taking it-- 1062 00:53:40,860 --> 00:53:42,120 so we have passenger miles. 1063 00:53:42,120 --> 00:53:45,550 So you divide the total cost by that, and that's what you get. 1064 00:53:45,550 --> 00:53:47,320 You have a question. 1065 00:53:47,320 --> 00:53:57,290 AUDIENCE: Yes, so regarding the homework assignment, we are-- 1066 00:53:57,290 --> 00:54:00,540 basically, we should do the assignment and maybe comment 1067 00:54:00,540 --> 00:54:03,730 on, but assume that we don't know-- 1068 00:54:03,730 --> 00:54:06,240 we won't have like the-- 1069 00:54:06,240 --> 00:54:07,596 what am I trying to say? 1070 00:54:07,596 --> 00:54:09,470 It seemed like there was a lot of information 1071 00:54:09,470 --> 00:54:11,090 that you have already asked if people 1072 00:54:11,090 --> 00:54:13,225 who are taking the train the one stop that we are. 1073 00:54:13,225 --> 00:54:13,850 PROFESSOR: Yes. 1074 00:54:13,850 --> 00:54:16,010 AUDIENCE: So we just assume [INAUDIBLE] covered in the data 1075 00:54:16,010 --> 00:54:17,740 collection and assume that that data exists, 1076 00:54:17,740 --> 00:54:18,823 but that we don't have it. 1077 00:54:18,823 --> 00:54:19,960 PROFESSOR: Yes, yes. 1078 00:54:19,960 --> 00:54:22,840 So there are people who-- 1079 00:54:22,840 --> 00:54:25,190 I think what you're referring to is 1080 00:54:25,190 --> 00:54:29,120 there are people who are going to MIT 1081 00:54:29,120 --> 00:54:33,550 who get off at Central Square and transfer to the Red Line, 1082 00:54:33,550 --> 00:54:34,592 right, and go to Kendall. 1083 00:54:34,592 --> 00:54:36,425 AUDIENCE: Yeah, especially the Kendall area. 1084 00:54:36,425 --> 00:54:38,060 PROFESSOR: Right, now how many of those 1085 00:54:38,060 --> 00:54:41,870 would continue on the bus rather than switch anyway? 1086 00:54:41,870 --> 00:54:43,170 I'm not sure. 1087 00:54:43,170 --> 00:54:46,500 So there is a judgment call there. 1088 00:54:46,500 --> 00:54:50,735 But yeah, we're focusing on the people that 1089 00:54:50,735 --> 00:54:52,860 for sure would stay on the bus. 1090 00:54:52,860 --> 00:54:54,360 They're not transferring to Kendall. 1091 00:54:54,360 --> 00:54:57,460 So they're going somewhere else in that area 1092 00:54:57,460 --> 00:54:59,650 before reaching Kendall possibly, 1093 00:54:59,650 --> 00:55:02,710 right, or almost surely. 1094 00:55:02,710 --> 00:55:04,720 And those are the people that would definitely 1095 00:55:04,720 --> 00:55:05,920 stay on the bus. 1096 00:55:05,920 --> 00:55:07,150 AUDIENCE: That we talked to. 1097 00:55:07,150 --> 00:55:08,691 PROFESSOR: Yeah, yeah, exactly, which 1098 00:55:08,691 --> 00:55:10,040 is why we picked that bus stop. 1099 00:55:10,040 --> 00:55:13,570 But I think it's very likely that, in a future assignment, 1100 00:55:13,570 --> 00:55:16,910 I will give you data on the people who are transferring 1101 00:55:16,910 --> 00:55:20,920 to the Central Square Red Line. 1102 00:55:20,920 --> 00:55:23,700 And therefore, you'll have the whole picture 1103 00:55:23,700 --> 00:55:28,900 of from your survey and from the ODX data, 1104 00:55:28,900 --> 00:55:31,960 yeah, AFC data from Red Line. 1105 00:55:31,960 --> 00:55:32,626 AUDIENCE: Great. 1106 00:55:35,614 --> 00:55:38,520 PROFESSOR: Any other questions? 1107 00:55:38,520 --> 00:55:40,670 All right, goodbye.