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See also: http://serc.carleton.edu/introgeo/interactive/examples/co2.html
Objective of Activity:
• Students will be able to use real CO2 data to
  measure rates of CO2 increase over time.

Background Information:
• CO2 (Carbon Dioxide) is a trace greenhouse gas that is
  strongly correlated with global temperatures … the more
  CO2 in the atmosphere, the warmer Earth’s atmosphere
  and surface become because of the ability of CO2 to
  absorb some of Earth’s outgoing infrared radiation.
• The slope of a line in a graph is the ratio of the rise (the Y-
  axis) over the run (the X-axis), and has units of the rise
  axis over the run axis. For example, if a graph has time
  (hours) as the X-axis and distance (miles) as the Y-axis,
  then a line will have slope of miles/hour, or speed.
Overview of the Activity:
• Student groups plot 8 CO2 values from Mauna
  Loa, HI, from 2005 to 2011 on a graph provided,
  using randomly selected data on next slide.

• Today you will each plot one of 38 randomly
  selected data points from this data set.

• As a group we will estimate the slope (rate) of the
  best line through our 31 data points.

• (Students calculate the # of years for CO2 levels to
  double at the rate they’ve found.)

• (Students learn about incomplete data.)
Online Workshop 11 May 2012: Mauna Loa Atmospheric CO2 Concentrations in parts per million (ppm)
31 Groups of 8 randomly selected 2005-11 data; Source http://scrippsco2.ucsd.edu/data/in_situ_co2/monthly_mlo.csv
 G = Group #; D1 = Date (M/Y) of 1st observation; V1 = Value of CO2 concentration on that date; etc.
 G   D1    V1    D2     V2    D3    V3    D4    V4    D5    V5    D6     V6    D7    V7    D8    V8
1   4/06 384.4  5/06 384.9      11/06   380.2   12/07   383.7    4/10   392.5    6/10   392.3    8/10   388.5   12/11   391.8
2   7/05 380.7  5/06 384.9       6/07   385.9    6/08   387.9    2/09   387.2    2/10   390.0    8/10   388.5    5/11   394.3
3   4/05 382.1  4/06 384.4       1/08   385.0    6/08   387.9   11/08   384.1    3/10   391.0    5/10   393.2    8/11   390.2
4 10/07 380.9   5/08 388.5       8/08   384.2   10/09   384.3   12/10   389.9    7/11   392.6    9/11   388.9   12/11   391.8
5   8/06 380.5 10/07 380.9       9/08   383.0   11/08   384.1   12/09   387.4    4/10   392.5    9/11   388.9   12/11   391.8
6   5/05 382.2 10/05 376.8       2/07   383.7    9/08   383.0   10/08   382.8    1/09   386.7    4/11   393.5    9/11   388.9
7   2/05 379.7 12/05 380.0      10/06   379.1    1/08   385.0    5/08   388.5   10/08   382.8   12/09   387.4    8/10   388.5
8   3/06 382.6  5/06 384.9      12/06   381.7    4/07   386.2    8/07   381.8    4/08   386.8    8/09   386.1    2/11   391.9
9   4/06 384.4  8/07 381.8      10/07   380.9   11/07   382.4    4/09   389.5   11/10   388.6    2/11   391.9   10/11   388.9
10  5/07 386.4  1/08 385.0       4/08   386.8    3/09   388.6   11/09   386.0    6/10   392.3    9/10   386.8    4/11   393.5
11  6/05 382.1  8/05 378.7       4/06   384.4    3/07   384.3    8/07   381.8   10/08   382.8    2/10   390.0    9/11   388.9
12  1/05 378.3  3/05 380.4      11/05   378.3    6/06   384.1    3/08   385.9    6/09   389.6    2/10   390.0    5/11   394.3
13  5/05 382.2  8/05 378.7       9/06   378.8    6/07   385.9    1/08   385.0    2/09   387.2    6/10   392.3   11/10   388.6
14  7/06 382.4  8/06 380.5       6/07   385.9    6/08   387.9   10/08   382.8    5/10   393.2    1/11   391.3    9/11   388.9
15  2/06 382.0  1/08 385.0       3/08   385.9    1/09   386.7    6/09   389.6    1/10   388.6    3/11   392.3    6/11   393.7
16  4/06 384.4  4/07 386.2      10/07   380.9    5/09   390.2    6/09   389.6    8/10   388.5   11/11   390.3   12/11   391.8
17  2/05 379.7 10/05 376.8      11/05   378.3    8/06   380.5   11/07   382.4   11/08   384.1    4/09   389.5    3/11   392.3
18  4/05 382.1 11/05 378.3       6/06   384.1    7/07   384.4    2/08   385.9    4/08   386.8   12/10   389.9    9/11   388.9
19 12/05 380.0 12/06 381.7       4/09   389.5   10/09   384.3   11/09   386.0    4/11   393.5    5/11   394.3   11/11   390.3
20  2/06 382.0  5/06 384.9       6/07   385.9   12/07   383.7    5/09   390.2    3/10   391.0    4/10   392.5    9/10   386.8
21  6/05 382.1  2/06 382.0       6/08   387.9    3/10   391.0    4/10   392.5    8/10   388.5   10/10   387.2    8/11   390.2
22  3/05 380.4  3/08 385.9       1/09   386.7    4/09   389.5   11/10   388.6   12/10   389.9    4/11   393.5    7/11   392.6
23  4/05 382.1  1/06 381.4       2/06   382.0   10/06   379.1   11/07   382.4    3/09   388.6    3/10   391.0    3/11   392.3
24  8/05 378.7  3/06 382.6       4/06   384.4    4/07   386.2    9/07   380.9   10/07   380.9   11/07   382.4    4/09   389.5
25  8/06 380.5  1/07 382.5       2/07   383.7    4/07   386.2   11/09   386.0    3/10   391.0    5/10   393.2   10/10   387.2
26  8/06 380.5 11/06 380.2       4/07   386.2    8/08   384.2   11/08   384.1   10/09   384.3    9/10   386.8   10/10   387.2
27  8/06 380.5  9/07 380.9       3/08   385.9    9/08   383.0   10/08   382.8    4/10   392.5   11/11   390.3   12/11   391.8
28  1/05 378.3  5/05 382.2      11/07   382.4    3/09   388.6    4/10   392.5    1/11   391.3    7/11   392.6   12/11   391.8
29  9/05 376.4  6/06 384.1       7/06   382.4    4/07   386.2    5/07   386.4   10/08   382.8    3/10   391.0   10/10   387.2
30  6/07 385.9 10/08 382.8      11/08   384.1    5/09   390.2    3/10   391.0    7/10   390.5    3/11   392.3    9/11   388.9
31  3/05 380.4 11/05 378.3       7/07   384.4   11/07   382.4    2/10   390.0    3/10   391.0    6/10   392.3   10/10   387.2
Data
Points                        395
                              394
                              393
                              392
                              391
                              390
                              389
    CO2 Concentration (ppm)




                              388
                              387
                              386
                              385
                              384
                              383
                              382
                              381
                              380
                              379
                              378
                              377                                                              Slope = ______ ppm
                              376
                              375
                                       July




                                                     July




                                                                   July




                                                                                 July




                                                                                               July




                                                                                                             July




                                                                                                                           July
                                2005          2006          2007          2008          2009          2010          2011          2012
Group # __1__
                           395
                           394                                                                                                            393.4
                           393
                           392
                           391                                                                                                             Slope =
                           390
                                                                                                                                       (393.4-378.0)
                           389
                                                                                                                                        (2010-2003)
                                                                                                                                          = 15.4/7
 CO2 Concentration (ppm)




                           388
                           387                                                                                                              = 2.2
                           386
                           385
                           384
                           383
                           382
                           381
                           380
                           379
                           378
378.0 377
                                                                                             Slope = _2.2_ ppm
                           376
                           375
                                    July




                                                   July




                                                                 July




                                                                               July




                                                                                             July




                                                                                                           July




                                                                                                                         July
                             2005           2006          2007          2008          2009          2010          2011          2012
Sharing your results:
• Hopefully you were able to plot your data points
  …. 
• Did the data set we plotted look very noisy?

   • Any ideas why?

      • (Incomplete data …)

• Let’s look at the data sets a little more closely …
Keeling Mauna Loa CO2 Data (2005-2011): Group 1
                        395




                        390
Carbon Dioxide in ppm




                        385




                        380




                        375
                          Jan-05     Jan-06   Jan-07   Jan-08   Jan-09   Jan-10   Jan-11
Keeling Mauna Loa CO2 Data (2005-2011): Groups 1-4
                        395




                        390
Carbon Dioxide in ppm




                        385




                        380




                        375
                          Jan-05   Jan-06   Jan-07   Jan-08   Jan-09   Jan-10   Jan-11
Keeling Mauna Loa CO2 Data (2005-2011): Groups 1-31
                        395




                        390
Carbon Dioxide in ppm




                        385




                        380




                        375
                          Jan-05   Jan-06   Jan-07   Jan-08   Jan-09   Jan-10   Jan-11
Keeling Mauna Loa CO2 Data (2005-2011): 38 Random Points
                        395




                        390
Carbon Dioxide in ppm




                        385




                        380




                        375
                          Jan-05      Jan-06   Jan-07   Jan-08   Jan-09   Jan-10   Jan-11
http://bluemoon.ucsd.edu/pub/cdrg/continuous/monthly_mlo.csv
                                   Keeling Mauna Loa CO2 Data (1958-2011): All Data
                        400

                        390

                        380
Carbon Dioxide in ppm




                        370

                        360

                        350

                        340

                        330

                        320

                        310

                        300
                          Jan-58       Jan-68       Jan-78       Jan-88      Jan-98          Jan-08
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Plotting Carbon Dioxide

  • 2.
  • 3. Objective of Activity: • Students will be able to use real CO2 data to measure rates of CO2 increase over time. Background Information: • CO2 (Carbon Dioxide) is a trace greenhouse gas that is strongly correlated with global temperatures … the more CO2 in the atmosphere, the warmer Earth’s atmosphere and surface become because of the ability of CO2 to absorb some of Earth’s outgoing infrared radiation. • The slope of a line in a graph is the ratio of the rise (the Y- axis) over the run (the X-axis), and has units of the rise axis over the run axis. For example, if a graph has time (hours) as the X-axis and distance (miles) as the Y-axis, then a line will have slope of miles/hour, or speed.
  • 4. Overview of the Activity: • Student groups plot 8 CO2 values from Mauna Loa, HI, from 2005 to 2011 on a graph provided, using randomly selected data on next slide. • Today you will each plot one of 38 randomly selected data points from this data set. • As a group we will estimate the slope (rate) of the best line through our 31 data points. • (Students calculate the # of years for CO2 levels to double at the rate they’ve found.) • (Students learn about incomplete data.)
  • 5. Online Workshop 11 May 2012: Mauna Loa Atmospheric CO2 Concentrations in parts per million (ppm) 31 Groups of 8 randomly selected 2005-11 data; Source http://scrippsco2.ucsd.edu/data/in_situ_co2/monthly_mlo.csv G = Group #; D1 = Date (M/Y) of 1st observation; V1 = Value of CO2 concentration on that date; etc. G D1 V1 D2 V2 D3 V3 D4 V4 D5 V5 D6 V6 D7 V7 D8 V8 1 4/06 384.4 5/06 384.9 11/06 380.2 12/07 383.7 4/10 392.5 6/10 392.3 8/10 388.5 12/11 391.8 2 7/05 380.7 5/06 384.9 6/07 385.9 6/08 387.9 2/09 387.2 2/10 390.0 8/10 388.5 5/11 394.3 3 4/05 382.1 4/06 384.4 1/08 385.0 6/08 387.9 11/08 384.1 3/10 391.0 5/10 393.2 8/11 390.2 4 10/07 380.9 5/08 388.5 8/08 384.2 10/09 384.3 12/10 389.9 7/11 392.6 9/11 388.9 12/11 391.8 5 8/06 380.5 10/07 380.9 9/08 383.0 11/08 384.1 12/09 387.4 4/10 392.5 9/11 388.9 12/11 391.8 6 5/05 382.2 10/05 376.8 2/07 383.7 9/08 383.0 10/08 382.8 1/09 386.7 4/11 393.5 9/11 388.9 7 2/05 379.7 12/05 380.0 10/06 379.1 1/08 385.0 5/08 388.5 10/08 382.8 12/09 387.4 8/10 388.5 8 3/06 382.6 5/06 384.9 12/06 381.7 4/07 386.2 8/07 381.8 4/08 386.8 8/09 386.1 2/11 391.9 9 4/06 384.4 8/07 381.8 10/07 380.9 11/07 382.4 4/09 389.5 11/10 388.6 2/11 391.9 10/11 388.9 10 5/07 386.4 1/08 385.0 4/08 386.8 3/09 388.6 11/09 386.0 6/10 392.3 9/10 386.8 4/11 393.5 11 6/05 382.1 8/05 378.7 4/06 384.4 3/07 384.3 8/07 381.8 10/08 382.8 2/10 390.0 9/11 388.9 12 1/05 378.3 3/05 380.4 11/05 378.3 6/06 384.1 3/08 385.9 6/09 389.6 2/10 390.0 5/11 394.3 13 5/05 382.2 8/05 378.7 9/06 378.8 6/07 385.9 1/08 385.0 2/09 387.2 6/10 392.3 11/10 388.6 14 7/06 382.4 8/06 380.5 6/07 385.9 6/08 387.9 10/08 382.8 5/10 393.2 1/11 391.3 9/11 388.9 15 2/06 382.0 1/08 385.0 3/08 385.9 1/09 386.7 6/09 389.6 1/10 388.6 3/11 392.3 6/11 393.7 16 4/06 384.4 4/07 386.2 10/07 380.9 5/09 390.2 6/09 389.6 8/10 388.5 11/11 390.3 12/11 391.8 17 2/05 379.7 10/05 376.8 11/05 378.3 8/06 380.5 11/07 382.4 11/08 384.1 4/09 389.5 3/11 392.3 18 4/05 382.1 11/05 378.3 6/06 384.1 7/07 384.4 2/08 385.9 4/08 386.8 12/10 389.9 9/11 388.9 19 12/05 380.0 12/06 381.7 4/09 389.5 10/09 384.3 11/09 386.0 4/11 393.5 5/11 394.3 11/11 390.3 20 2/06 382.0 5/06 384.9 6/07 385.9 12/07 383.7 5/09 390.2 3/10 391.0 4/10 392.5 9/10 386.8 21 6/05 382.1 2/06 382.0 6/08 387.9 3/10 391.0 4/10 392.5 8/10 388.5 10/10 387.2 8/11 390.2 22 3/05 380.4 3/08 385.9 1/09 386.7 4/09 389.5 11/10 388.6 12/10 389.9 4/11 393.5 7/11 392.6 23 4/05 382.1 1/06 381.4 2/06 382.0 10/06 379.1 11/07 382.4 3/09 388.6 3/10 391.0 3/11 392.3 24 8/05 378.7 3/06 382.6 4/06 384.4 4/07 386.2 9/07 380.9 10/07 380.9 11/07 382.4 4/09 389.5 25 8/06 380.5 1/07 382.5 2/07 383.7 4/07 386.2 11/09 386.0 3/10 391.0 5/10 393.2 10/10 387.2 26 8/06 380.5 11/06 380.2 4/07 386.2 8/08 384.2 11/08 384.1 10/09 384.3 9/10 386.8 10/10 387.2 27 8/06 380.5 9/07 380.9 3/08 385.9 9/08 383.0 10/08 382.8 4/10 392.5 11/11 390.3 12/11 391.8 28 1/05 378.3 5/05 382.2 11/07 382.4 3/09 388.6 4/10 392.5 1/11 391.3 7/11 392.6 12/11 391.8 29 9/05 376.4 6/06 384.1 7/06 382.4 4/07 386.2 5/07 386.4 10/08 382.8 3/10 391.0 10/10 387.2 30 6/07 385.9 10/08 382.8 11/08 384.1 5/09 390.2 3/10 391.0 7/10 390.5 3/11 392.3 9/11 388.9 31 3/05 380.4 11/05 378.3 7/07 384.4 11/07 382.4 2/10 390.0 3/10 391.0 6/10 392.3 10/10 387.2
  • 6. Data Points 395 394 393 392 391 390 389 CO2 Concentration (ppm) 388 387 386 385 384 383 382 381 380 379 378 377 Slope = ______ ppm 376 375 July July July July July July July 2005 2006 2007 2008 2009 2010 2011 2012
  • 7. Group # __1__ 395 394 393.4 393 392 391 Slope = 390 (393.4-378.0) 389 (2010-2003) = 15.4/7 CO2 Concentration (ppm) 388 387 = 2.2 386 385 384 383 382 381 380 379 378 378.0 377 Slope = _2.2_ ppm 376 375 July July July July July July July 2005 2006 2007 2008 2009 2010 2011 2012
  • 8. Sharing your results: • Hopefully you were able to plot your data points ….  • Did the data set we plotted look very noisy? • Any ideas why? • (Incomplete data …) • Let’s look at the data sets a little more closely …
  • 9. Keeling Mauna Loa CO2 Data (2005-2011): Group 1 395 390 Carbon Dioxide in ppm 385 380 375 Jan-05 Jan-06 Jan-07 Jan-08 Jan-09 Jan-10 Jan-11
  • 10. Keeling Mauna Loa CO2 Data (2005-2011): Groups 1-4 395 390 Carbon Dioxide in ppm 385 380 375 Jan-05 Jan-06 Jan-07 Jan-08 Jan-09 Jan-10 Jan-11
  • 11. Keeling Mauna Loa CO2 Data (2005-2011): Groups 1-31 395 390 Carbon Dioxide in ppm 385 380 375 Jan-05 Jan-06 Jan-07 Jan-08 Jan-09 Jan-10 Jan-11
  • 12. Keeling Mauna Loa CO2 Data (2005-2011): 38 Random Points 395 390 Carbon Dioxide in ppm 385 380 375 Jan-05 Jan-06 Jan-07 Jan-08 Jan-09 Jan-10 Jan-11
  • 13. http://bluemoon.ucsd.edu/pub/cdrg/continuous/monthly_mlo.csv Keeling Mauna Loa CO2 Data (1958-2011): All Data 400 390 380 Carbon Dioxide in ppm 370 360 350 340 330 320 310 300 Jan-58 Jan-68 Jan-78 Jan-88 Jan-98 Jan-08