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From page 186...
... E-1 APPENDIX E ANALYSIS OF PROFILE DATA USING EMPIRICAL MODE DECOMPOSITION E.1. Introduction It has been hypothesized that JPCP slab profile data can be used to examine the effect of base type (and consequently slab-base interaction)
From page 187...
... E-2 an automated pavement analysis method for real-field profiles that would allow for accurate, consistent analysis of pavement sections or slabs. This method is based on the empirical mode decomposition (EMD)
From page 189...
... E-4  The MATLAB procedure to identify local to eliminate errors due to "plateaus" in the data, i.e., local regions in which extrema were repeated for neighboring indices. These plateaus also caused issues in the later creation of cubic splines.
From page 190...
... E-5 2. The number of critical points and zero crossings must be the same or differ by one (Huang, 2005)
From page 192...
... E-7 E.3.2. Modifications to software used to process profilometer data While minor modifications to the EMD analysis process were made, larger modifications were made to the MATLAB program to analyze profilometer data.
From page 193...
... E-8 and given a unique identifier for convenience. A screenshot of the MATLAB program, as applied to a single profilometer pass dataset, is presented in Figure E-8 to illustrate the automated process.
From page 194...
... E-9 The identification itself is based upon an arbitrary difference between the LTPP section joint spacing and the average period for a given IMF: for this analysis, a tolerance of 15 inches is used (meaning, IMFs whose average period is within 15 inches of the joint spacing are identified as being of interest)
From page 195...
... E-10 slab profile may not be evident in the dataset. Thus, at this point a user could examine the data on a pass-by-pass basis.
From page 196...
... E-11 Section 04-0214 exhibited slightly higher amplitudes for the same day of testing, it is not clear if a significant difference can be attributed to base type. This initial analysis motivated the research team to analyze profiles from the entire SPS-2 experiment to enable a comparison of the profiles of the pavements whose design differs only in base type.
From page 198...
... E-13 E.6. EMD analysis of LTPP profilometer data from the SPS-2 experiment The discrepancy between observed and predicted MEPDG cracking for LTPP SPS-2 sections prompted the research team to conduct its initial analysis of profilometer data from LTPP SPS-2 sections.
From page 199...
... E-14 The slab profile information resulting from the EMD analysis can be more beneficial when considered with performance data from the LTPP database.
From page 200...
... E-15 design are investigated in terms of the slab profile information obtained through the use of EMD analysis. Those focuses are as follows, with parenthetical abbreviations corresponding to figure legends.
From page 202...
... E-17 E.6.3. Performance of SPS-2 sections by slab thickness relative to slab profile Figure E-14 illustrates the effect of slab profile on pavement performance by slab thickness, where the y- and x-axes are identical to those of Figure E-13.
From page 203...
... E-18 observe that for 12-foot and 14-foot wide sections located in wet, freeze conditions, there exists a correlation between pavement performance and slab profile (R-squared of 0.3288 and 0.2478, respectively)
From page 204...
... E-19 profile did point to some trends that were supported by non-trivial statistical measures. For pavements with aggregate bases, it was found that the severity of slab curl was strongly correlated with an increase in roughness over the pavement life.
From page 205...
... E-20 Table E-2. IMF profile results for the six EMD-analyzed SPS-2 sections with 12-foot lane width that are assumed to have either non-default built-in curl/warp temperature in NCHRP 20-07 study LTPP_ID LANE BASE T # OBS INCR_STDEV MIN_STDEV MAX_STDEV AVG_STDEV STDEV_STDEV 04_0218 12 CTB -28 50 -3.2% 0.236 0.729 0.396 0.126 04_0219 12 CTB -16 73 72.9% 0.205 0.780 0.462 0.091 08_0214 12 AGG 0 59 172.8% 0.270 0.744 0.483 0.135 08_0218 12 CTB -21 34 -35.3% 0.487 1.190 0.832 0.183 37_0205 12 CTB -2 70 5.4% 0.436 1.243 0.894 0.167 39_0212 12 PSAB -15 40 15.6% 0.258 0.523 0.401 0.058 AVG 54 38.0% 0.315 0.868 0.578 0.127 Table E-3.
From page 206...
... E-21  First date of observation  Last date of observation  Change in standard deviation of profile amplitude  Average standard deviation of profile amplitude for all observations As was the case for the SPS-2 profile analysis using EMD, the metric of interest is the relative magnitude of the amplitude for a given profile. If this amplitude is large enough, it is possible to observe changes in slab profile using EMD analysis due to non-texture related effects (such as slab curl)
From page 207...
... E-22 Chang, G K., Karamihas, S
From page 208...
... E-23 E.9. Summary tables of EMD analysis of SPS-2 and GPS-5 sections Table E-6.
From page 209...
... E-24 STATE SECTION #OBS 1ST DATE 1st ST DEV LAST DATE LAST ST DEV %INCR MIN ST DEV MAX ST DEV AVG ST DEV ST DEV OF ST DEV 5 219 24 1997 0.504 2012 0.639 26.8% 0.393 0.721 0.550 0.091 5 220 12 1997 0.610 2002 0.897 47.0% 0.599 0.964 0.822 0.138 5 221 9 1997 0.349 2002 0.409 17.3% 0.320 0.672 0.452 0.108 5 222 28 1997 0.334 2011 0.757 126.5% 0.299 0.817 0.476 0.151 5 223 16 1997 0.360 2012 0.439 22.0% 0.322 0.497 0.391 0.045 5 224 3 1997 0.337 2000 0.452 34.2% 0.337 0.642 0.477 0.154 6 201 8 2000 0.604 2000 0.488 -19.3% 0.427 0.643 0.568 0.076 6 202 17 2000 0.415 2004 0.451 8.7% 0.349 0.648 0.492 0.081 6 203 4 2000 0.621 2000 0.514 -17.2% 0.514 0.694 0.621 0.077 6 204 22 2000 0.480 2004 0.475 -1.1% 0.443 0.998 0.635 0.130 6 205 5 2000 0.815 2000 0.399 -51.1% 0.292 0.815 0.470 0.201 6 206 14 2000 0.718 2004 0.599 -16.6% 0.410 0.742 0.604 0.092 6 207 13 2000 0.585 2004 0.530 -9.4% 0.446 0.746 0.587 0.071 6 208 7 2000 0.474 2000 0.548 15.6% 0.405 0.673 0.542 0.087 6 209 8 2000 0.498 2000 0.496 -0.4% 0.407 0.626 0.478 0.070 6 210 18 2000 0.392 2004 0.418 6.8% 0.290 0.521 0.407 0.072 6 211 3 2000 0.509 2000 0.853 67.6% 0.509 0.880 0.747 0.207 6 212 17 2000 0.402 2004 0.616 53.4% 0.354 0.790 0.579 0.113 8 213 41 1994 0.497 2012 0.487 -2.0% 0.365 0.935 0.501 0.107 8 214 59 1997 0.273 2012 0.744 172.8% 0.270 0.744 0.483 0.135 8 215 26 1994 0.321 2003 0.769 139.5% 0.318 0.769 0.503 0.123 8 216 31 1994 0.379 2004 0.508 33.8% 0.234 0.754 0.403 0.121 8 217 34 1994 0.630 2004 1.166 85.2% 0.459 1.557 0.664 0.243 8 218 34 1994 1.013 2004 0.656 -35.3% 0.487 1.190 0.832 0.183 8 219 33 1994 0.753 2012 0.896 18.9% 0.557 0.896 0.714 0.087 8 220 58 1994 0.702 2012 0.766 9.1% 0.467 1.014 0.741 0.106 8 221 44 1994 0.754 2012 0.507 -32.7% 0.439 1.210 0.665 0.178
From page 210...
... E-25 STATE SECTION #OBS 1ST DATE 1st ST DEV LAST DATE LAST ST DEV %INCR MIN ST DEV MAX ST DEV AVG ST DEV ST DEV OF ST DEV 8 222 9 1994 0.398 1998 0.375 -5.8% 0.251 0.466 0.366 0.065 8 223 38 1994 0.845 2012 1.015 20.1% 0.630 1.036 0.840 0.118 8 224 34 1994 0.931 2003 1.113 19.6% 0.527 1.113 0.756 0.165 8 259 66 1994 0.371 2012 0.568 53.1% 0.371 0.844 0.601 0.106 10 201 11 1996 0.379 1998 0.326 -13.8% 0.326 0.631 0.483 0.086 10 202 64 1996 0.267 2012 0.303 13.6% 0.178 0.691 0.333 0.104 10 203 70 1996 0.294 2012 0.513 74.5% 0.234 0.763 0.391 0.087 10 204 22 1996 0.445 1998 0.350 -21.3% 0.301 0.445 0.405 0.035 10 205 10 1996 0.321 1998 0.321 0.0% 0.267 0.363 0.320 0.025 10 206 82 1996 0.384 2012 0.295 -23.2% 0.207 0.469 0.322 0.062 10 207 58 1996 0.354 2005 0.723 104.3% 0.285 0.723 0.466 0.095 10 208 18 1996 0.516 1998 0.507 -1.7% 0.331 0.671 0.530 0.084 10 209 17 1996 0.277 1998 0.257 -7.5% 0.210 1.052 0.329 0.196 10 210 26 1996 0.258 1998 0.361 39.8% 0.212 0.519 0.331 0.078 10 211 56 1996 0.275 2005 0.372 35.3% 0.213 0.597 0.304 0.081 10 212 26 1996 0.746 1998 0.447 -40.1% 0.407 0.759 0.548 0.096 10 259 26 1996 0.292 1998 0.316 8.3% 0.260 0.439 0.338 0.049 10 260 74 1996 0.437 2012 0.943 115.5% 0.305 0.978 0.524 0.153 19 213 39 1995 0.322 2011 0.605 87.8% 0.299 0.605 0.461 0.078 19 214 42 1995 0.476 2011 0.838 76.1% 0.302 1.036 0.670 0.188 19 215 48 1995 0.685 2011 0.620 -9.4% 0.424 0.813 0.627 0.089 19 216 49 1995 0.313 2011 0.709 126.6% 0.262 1.486 0.660 0.257 19 217 34 1995 0.524 2004 0.710 35.5% 0.463 0.884 0.650 0.107 19 218 45 1995 0.426 2011 0.921 116.2% 0.308 1.125 0.586 0.220 19 219 29 1995 0.466 2011 0.572 22.9% 0.325 0.661 0.479 0.081 19 220 51 1995 0.396 2011 0.775 95.5% 0.287 0.898 0.552 0.167 19 221 46 1995 0.528 2011 0.634 20.1% 0.377 0.965 0.559 0.135
From page 211...
... E-26 STATE SECTION #OBS 1ST DATE 1st ST DEV LAST DATE LAST ST DEV %INCR MIN ST DEV MAX ST DEV AVG ST DEV ST DEV OF ST DEV 19 222 45 1995 0.559 2011 0.649 16.1% 0.331 1.389 0.660 0.223 19 223 42 1995 0.573 2011 0.528 -7.9% 0.396 0.839 0.580 0.086 19 224 52 1995 0.465 2011 0.389 -16.3% 0.319 0.529 0.413 0.048 19 259 49 1995 0.357 2011 0.590 65.2% 0.313 0.801 0.454 0.104 20 201 9 1993 0.292 1995 0.356 21.8% 0.292 0.636 0.451 0.128 20 202 41 1992 0.391 2004 0.432 10.4% 0.217 0.859 0.359 0.131 20 203 29 1992 0.464 2004 0.446 -3.8% 0.399 0.645 0.514 0.068 20 204 4 1993 0.507 1995 0.460 -9.3% 0.453 0.507 0.470 0.025 20 205 41 1992 0.478 2004 0.641 34.2% 0.375 0.734 0.558 0.082 20 206 22 1993 0.561 2004 0.447 -20.3% 0.314 0.977 0.580 0.200 20 207 28 1992 0.522 2004 0.620 18.7% 0.384 0.725 0.544 0.072 20 208 30 1992 0.633 2004 0.566 -10.6% 0.546 1.005 0.750 0.109 20 209 38 1992 0.717 2004 0.444 -38.1% 0.411 0.952 0.615 0.171 20 210 35 1992 0.473 2004 0.464 -1.8% 0.251 0.814 0.480 0.095 20 211 42 1992 0.667 2010 0.371 -44.4% 0.305 0.798 0.426 0.096 20 212 39 1992 0.522 2004 0.390 -25.3% 0.390 0.920 0.608 0.108 20 259 24 1993 0.435 2004 0.434 -0.1% 0.336 0.742 0.460 0.076 26 213 32 1994 0.454 1999 1.152 153.8% 0.395 1.365 0.680 0.263 26 214 33 1994 0.868 2002 1.749 101.4% 0.423 1.785 1.050 0.374 26 215 32 1994 0.557 2000 1.547 177.9% 0.288 1.860 0.567 0.355 26 216 20 1994 0.626 2002 0.877 40.2% 0.331 1.189 0.719 0.243 26 217 33 1994 0.491 1999 0.994 102.5% 0.318 1.371 0.512 0.232 26 218 26 1994 0.669 1997 2.794 317.9% 0.443 3.766 1.239 0.921 26 219 41 1994 0.459 2002 0.470 2.4% 0.371 3.928 0.593 0.537 26 220 40 1994 0.762 2002 0.905 18.8% 0.424 1.167 0.763 0.185 26 221 34 1994 0.781 2002 0.351 -55.1% 0.321 1.802 0.518 0.248 26 222 40 1994 0.566 2002 0.594 4.9% 0.332 3.546 0.626 0.500
From page 212...
... E-27 STATE SECTION #OBS 1ST DATE 1st ST DEV LAST DATE LAST ST DEV %INCR MIN ST DEV MAX ST DEV AVG ST DEV ST DEV OF ST DEV 26 223 42 1994 0.380 2002 0.310 -18.5% 0.270 0.499 0.385 0.051 26 224 34 1994 0.450 2002 0.731 62.4% 0.353 1.048 0.529 0.162 26 259 32 1994 0.423 1999 0.464 9.6% 0.261 0.650 0.450 0.093 32 201 2 1997 0.352 1997 0.467 32.4% 0.352 0.467 0.409 0.081 32 202 6 1996 0.484 1997 1.191 145.9% 0.315 1.191 0.645 0.364 32 203 3 1997 0.308 1997 0.261 -15.3% 0.261 0.308 0.282 0.024 32 204 11 1996 0.421 1997 0.912 116.9% 0.421 0.944 0.722 0.174 32 205 3 1997 0.341 1997 0.299 -12.3% 0.299 0.341 0.317 0.022 32 206 8 1996 0.383 1997 0.534 39.2% 0.281 0.593 0.443 0.101 32 207 6 1996 0.469 1997 0.437 -6.8% 0.334 0.642 0.481 0.101 32 208 5 1997 0.692 1997 0.461 -33.4% 0.461 0.724 0.601 0.109 32 209 41 1996 0.256 2003 0.412 61.4% 0.237 0.591 0.398 0.077 32 210 4 1996 0.253 1997 0.255 0.7% 0.253 0.277 0.261 0.011 32 211 6 1996 0.539 1997 0.242 -55.2% 0.242 0.539 0.395 0.110 32 259 36 1997 0.390 2003 0.630 61.5% 0.390 0.749 0.575 0.096 37 201 111 1994 0.556 2003 0.833 49.8% 0.181 1.625 0.565 0.208 37 202 62 1994 0.570 2003 0.907 59.0% 0.508 1.208 0.847 0.175 37 203 91 1994 0.432 2012 0.510 18.1% 0.359 1.949 0.652 0.253 37 204 80 1994 0.476 2012 0.892 87.6% 0.322 1.019 0.566 0.125 37 205 70 1994 0.938 2003 0.989 5.4% 0.436 1.243 0.894 0.167 37 206 46 1996 0.379 2003 0.306 -19.3% 0.306 0.929 0.586 0.130 37 207 93 1994 0.672 2012 0.952 41.6% 0.404 1.942 0.858 0.275 37 208 58 1996 0.438 2012 0.959 118.9% 0.438 1.167 0.822 0.155 37 209 54 1994 0.830 2003 0.692 -16.6% 0.457 0.961 0.664 0.110 37 210 1 1994 0.420 1994 0.420 0.0% 0.420 0.420 0.420 0.000 37 211 80 1994 0.432 2012 0.514 19.2% 0.432 0.943 0.583 0.097 37 212 48 1994 0.584 2012 0.625 7.1% 0.353 1.320 0.553 0.138
From page 213...
... E-28 STATE SECTION #OBS 1ST DATE 1st ST DEV LAST DATE LAST ST DEV %INCR MIN ST DEV MAX ST DEV AVG ST DEV ST DEV OF ST DEV 37 259 3 1994 0.737 1994 0.694 -5.9% 0.694 0.755 0.729 0.032 37 260 102 1994 0.613 2012 0.517 -15.6% 0.448 1.290 0.706 0.157 38 213 4 1997 0.500 1997 0.754 50.7% 0.500 0.754 0.589 0.112 38 214 5 1997 0.399 1997 0.608 52.4% 0.399 0.608 0.495 0.092 38 215 1 1997 0.579 1997 0.579 0.0% 0.579 0.579 0.579 0.000 38 216 4 1997 0.857 1997 0.591 -31.0% 0.504 0.857 0.623 0.160 38 217 4 1997 0.448 1997 0.642 43.4% 0.448 1.664 0.968 0.543 38 218 3 1997 0.842 1997 0.554 -34.3% 0.554 1.009 0.801 0.230 38 219 5 1997 1.092 1997 0.496 -54.5% 0.496 1.092 0.653 0.247 38 220 5 1997 0.363 1997 0.251 -30.9% 0.251 0.364 0.332 0.047 38 221 3 1997 0.553 1997 1.057 91.3% 0.553 1.057 0.749 0.270 38 222 2 1997 0.559 1997 0.428 -23.3% 0.428 0.559 0.494 0.092 38 223 3 1997 0.549 1997 0.648 18.1% 0.549 0.811 0.669 0.132 38 224 5 1997 0.625 1997 0.479 -23.4% 0.479 0.625 0.579 0.062 38 259 31 1997 0.903 2007 0.575 -36.3% 0.471 1.453 0.753 0.283 38 260 24 1998 0.422 2007 0.634 50.3% 0.381 0.833 0.529 0.122 38 261 9 1998 0.569 2000 0.452 -20.5% 0.450 0.924 0.606 0.152 38 262 5 1997 0.660 1997 0.591 -10.5% 0.493 0.660 0.574 0.074 38 263 3 1997 0.451 1997 0.572 26.8% 0.359 0.572 0.461 0.107 38 264 37 1997 0.497 2012 0.585 17.5% 0.375 0.745 0.511 0.074 39 201 14 1996 0.410 2006 0.737 79.5% 0.326 0.981 0.590 0.209 39 202 20 1996 0.505 2006 0.722 43.0% 0.486 1.133 0.640 0.164 39 203 41 1996 0.382 2012 0.488 27.7% 0.324 0.994 0.512 0.132 39 204 55 1996 0.381 2006 0.545 42.9% 0.094 1.167 0.466 0.227 39 205 37 1996 0.623 2006 1.168 87.5% 0.393 2.255 0.886 0.458 39 206 25 1996 1.105 2006 1.033 -6.5% 0.397 1.398 0.899 0.289 39 207 68 1996 0.481 2012 1.466 204.6% 0.377 1.851 0.812 0.344
From page 214...
... E-29 STATE SECTION #OBS 1ST DATE 1st ST DEV LAST DATE LAST ST DEV %INCR MIN ST DEV MAX ST DEV AVG ST DEV ST DEV OF ST DEV 39 208 34 1996 0.566 2006 0.593 4.8% 0.452 0.944 0.609 0.095 39 209 50 1996 0.445 2006 0.666 49.7% 0.288 1.136 0.531 0.163 39 210 42 1996 0.536 2006 1.288 140.5% 0.327 1.288 0.517 0.155 39 211 55 1996 0.435 2012 1.317 202.9% 0.377 1.317 0.612 0.156 39 212 40 1996 0.362 2006 0.419 15.6% 0.258 0.523 0.401 0.058 39 259 16 1996 0.317 2004 0.439 38.3% 0.200 0.454 0.319 0.081 39 260 58 1996 0.416 2012 0.605 45.6% 0.304 0.643 0.474 0.097 39 261 57 1996 0.410 2012 0.419 2.2% 0.337 0.950 0.477 0.102 39 262 50 1996 0.450 2012 0.337 -25.1% 0.244 1.018 0.403 0.117 39 263 51 1996 0.370 2012 0.405 9.6% 0.299 0.746 0.426 0.089 39 264 24 1996 0.524 2005 0.785 49.8% 0.365 1.962 0.750 0.303 39 265 47 1996 0.446 2012 0.636 42.7% 0.391 0.793 0.570 0.091 53 201 58 1995 0.455 2012 0.592 30.0% 0.396 1.279 0.565 0.145 53 202 54 1995 0.737 2012 0.559 -24.1% 0.285 0.830 0.512 0.135 53 203 51 1995 0.621 2012 0.829 33.5% 0.375 0.829 0.576 0.094 53 204 58 1995 0.581 2012 0.547 -5.7% 0.313 0.715 0.487 0.085 53 205 55 1995 0.473 2011 0.541 14.5% 0.362 0.945 0.467 0.108 53 206 57 1995 0.384 2012 0.824 114.7% 0.384 1.260 0.813 0.172 53 207 53 1995 0.565 2012 0.451 -20.2% 0.352 0.821 0.527 0.078 53 208 67 1995 0.391 2012 0.627 60.4% 0.350 0.884 0.614 0.129 53 209 40 1995 0.418 2012 0.744 78.0% 0.394 0.850 0.571 0.121 53 210 69 1995 0.244 2012 0.301 23.3% 0.244 0.640 0.375 0.091 53 211 38 1995 0.495 2012 0.342 -30.8% 0.321 0.792 0.438 0.097 53 212 73 1995 0.479 2012 0.346 -27.7% 0.311 0.659 0.465 0.078 53 259 54 1995 0.336 2011 0.417 24.1% 0.254 0.500 0.385 0.052 55 213 49 1997 0.309 2012 0.643 107.8% 0.304 0.687 0.471 0.104 55 214 51 1997 0.486 2012 0.572 17.6% 0.317 1.020 0.529 0.129
From page 215...
... E-30 STATE SECTION #OBS 1ST DATE 1st ST DEV LAST DATE LAST ST DEV %INCR MIN ST DEV MAX ST DEV AVG ST DEV ST DEV OF ST DEV 55 215 19 1997 0.483 2010 0.614 27.0% 0.396 0.676 0.501 0.076 55 216 59 1997 0.562 2012 0.474 -15.6% 0.407 1.165 0.690 0.199 55 217 60 1997 0.282 2012 0.422 49.7% 0.237 0.522 0.349 0.057 55 218 39 1997 0.469 2012 1.035 120.9% 0.297 1.035 0.448 0.131 55 219 32 1997 0.416 2012 0.680 63.2% 0.316 0.785 0.520 0.110 55 220 62 1997 0.494 2012 0.596 20.7% 0.372 0.980 0.568 0.120 55 221 57 1997 0.457 2012 0.632 38.4% 0.300 0.776 0.488 0.106 55 222 20 1997 0.470 2012 0.412 -12.2% 0.367 0.582 0.477 0.065 55 223 34 1997 0.658 2012 0.507 -22.9% 0.310 0.658 0.455 0.094 55 224 59 1997 0.289 2012 0.439 51.7% 0.265 0.533 0.380 0.069 55 259 34 1997 0.367 2012 0.639 74.2% 0.300 0.716 0.480 0.109 55 260 47 1997 0.540 2012 0.972 79.8% 0.337 1.409 0.731 0.239 55 261 54 1997 0.303 2012 0.351 15.9% 0.182 0.625 0.411 0.091 55 262 26 1997 0.414 2005 0.407 -1.7% 0.337 0.760 0.500 0.101 55 263 46 1997 0.337 2012 0.799 137.3% 0.214 0.799 0.405 0.142 55 264 16 1997 0.437 2012 0.741 69.3% 0.339 1.158 0.532 0.197 55 265 5 1997 0.404 2000 0.395 -2.4% 0.288 0.488 0.395 0.071 55 266 28 1997 0.295 2011 0.608 106.3% 0.295 0.701 0.488 0.136
From page 216...
... E-31 Table E-7. EMD analysis of LTPP GPS-5 section profile data STATE SECTION #OBS 1ST DATE 1st ST DEV LAST DATE LAST ST DEV %INCR AVG ST DEV 1 3998 5 1990 0.29563 1990 0.29563 0% 0.29563 1 5008 34 1990 0.219966 2011 0.225624 3% 0.22007 4 7079 50 1990 0.232815 2004 0.259507 11% 0.263289 5 5803 48 1990 0.359978 2010 0.372985 4% 0.352909 5 5805 47 1990 0.239151 2010 0.226836 -5% 0.248885 6 7455 47 1989 0.22405 2000 0.291892 30% 0.237965 9 5001 47 1989 0.498941 1996 0.543498 9% 0.502493 10 5004 31 1990 0.319531 1994 0.335448 5% 0.300395 10 5005 26 1990 0.357326 1994 0.33513 -6% 0.378105 13 5023 29 1990 0.335855 1998 0.297354 -11% 0.321903 16 5025 36 1989 0.539786 1995 0.581592 8% 0.594414 17 5020 71 1990 0.228497 2010 0.249563 9% 0.262417 17 5151 6 1990 0.451 1990 0.451 0% 0.451 17 5843 30 1990 0.300765 1998 0.446053 48% 0.333409 17 5849 20 1990 0.342546 1994 0.365958 7% 0.329269 17 5854 30 1990 0.511404 1997 0.648535 27% 0.584097 17 5869 36 1990 0.258292 1998 0.320244 24% 0.286921 17 5908 39 1990 0.413101 1999 0.386397 -6% 0.401864 17 9267 30 1990 0.233724 1998 0.220966 -5% 0.25416 18 5022 15 1989 0.58378 1991 0.567371 -3% 0.572841 18 5043 49 1989 0.944737 2001 1.106319 17% 1.304312 18 5518 21 1990 0.310137 1992 0.556142 79% 0.363954 19 5042 52 1990 0.385231 2001 0.395308 3% 0.392358 19 5046 15 1990 0.376821 1992 0.317674 -16% 0.335032 19 9116 15 1992 0.187007 1994 0.223591 20% 0.208145 24 5807 11 1989 0.698186 1990 0.400977 -43% 0.536072 26 5363 25 1989 0.292941 1993 0.332617 14% 0.33419
From page 217...
... E-32 STATE SECTION #OBS 1ST DATE 1st ST DEV LAST DATE LAST ST DEV %INCR AVG ST DEV 27 5076 5 1990 0.197441 1990 0.197441 0% 0.197441 28 3099 12 1990 0.259849 1991 0.278015 7% 0.267418 28 5006 19 1990 0.264994 1994 0.3048 15% 0.276798 28 5025 40 1991 0.24984 2011 0.275147 10% 0.278726 28 5803 10 1990 0.322251 1992 0.332497 3% 0.327374 28 5805 27 1990 0.437794 1998 0.458946 5% 0.426517 29 5047 48 1990 0.421743 2002 0.496309 18% 0.464331 31 5052 30 1989 0.210648 1997 0.279581 33% 0.256959 37 5037 42 1990 0.239831 1999 0.295532 23% 0.270714 37 5826 5 1994 0.277665 1994 0.277665 0% 0.277665 37 5827 40 1990 0.261278 1997 0.263329 1% 0.263711 38 5002 36 1989 0.208968 1999 0.292569 40% 0.233879 39 5003 56 1989 0.208104 2004 0.346335 66% 0.269983 39 5010 6 1989 1.996899 1989 1.996899 0% 1.996899 40 4158 45 1991 0.234462 2010 0.370092 58% 0.288376 40 4166 40 1991 0.241972 2010 0.313255 29% 0.282644 40 5021 45 1991 0.186871 2010 0.189871 2% 0.193072 41 5005 77 1989 0.318232 2013 0.278722 -12% 0.300064 41 5006 55 1989 0.316154 2003 0.314589 0% 0.282681 41 5008 55 1989 0.195033 2003 0.211999 9% 0.204695 41 5021 35 1989 0.288125 1998 0.278867 -3% 0.267754 41 5022 75 1989 0.306657 2013 0.271645 -11% 0.290819 41 7081 75 1990 0.165391 2013 0.18832 14% 0.198077 42 1598 47 1989 0.386833 1998 0.450601 16% 0.446034 42 1617 14 1989 0.556635 1990 0.528803 -5% 0.544707 42 5020 57 1989 0.493625 1998 0.427445 -13% 0.452966 45 5017 46 1990 0.449409 2011 0.500714 11% 0.485839 45 5034 35 1990 0.40963 2001 0.361008 -12% 0.392437
From page 218...
... E-33 STATE SECTION #OBS 1ST DATE 1st ST DEV LAST DATE LAST ST DEV %INCR AVG ST DEV 45 5035 19 1990 0.271487 1994 0.283405 4% 0.282123 46 5020 10 1989 0.228665 1990 0.239861 5% 0.234263 46 5025 79 1989 0.690403 2011 0.218899 -68% 0.277131 46 5040 55 1989 0.465897 2004 0.42363 -9% 0.448034 48 3719 21 1990 0.557475 1995 0.495427 -11% 0.523905 48 3779 39 1990 0.790485 2010 0.630123 -20% 0.542862 48 5024 51 1990 0.676859 2010 0.716897 6% 0.700769 48 5026 50 1990 0.289082 2011 0.323644 12% 0.358244 48 5035 49 1990 0.315527 2010 0.389971 24% 0.3549 48 5154 4 1990 0.421032 1990 0.421032 0% 0.421032 48 5274 20 1990 0.464356 1994 0.476385 3% 0.459572 48 5278 30 1990 0.232651 1998 0.246064 6% 0.242385 48 5283 52 1990 0.330861 2010 0.345263 4% 0.341169 48 5284 49 1990 0.430775 2010 0.605291 41% 0.74816 48 5287 34 1990 0.318285 2000 0.313337 -2% 0.344237 48 5301 25 1990 0.383905 1998 0.459441 20% 0.432429 48 5310 45 1990 0.476768 2010 0.46717 -2% 0.451214 48 5317 5 1990 0.401173 1990 0.401173 0% 0.401173 48 5323 20 1990 0.334212 1994 0.355759 6% 0.351881 48 5328 52 1990 0.470549 2010 0.361532 -23% 0.400576 48 5334 30 1990 0.257784 2000 0.235943 -8% 0.257035 48 5335 30 1990 0.403723 1999 0.34106 -16% 0.365508 48 5336 50 1990 0.242626 2012 0.306794 26% 0.299994 51 2564 49 1989 0.228514 1997 0.270935 19% 0.257241 51 5008 80 1989 0.578415 2011 0.538905 -7% 0.533669 51 5009 36 1989 0.529333 1997 0.652066 23% 0.566936 51 5010 49 1989 0.390103 2000 0.395199 1% 0.449364 54 5007 18 1989 0.464779 1991 0.67279 45% 0.540342
From page 219...
... E-34 STATE SECTION #OBS 1ST DATE 1st ST DEV LAST DATE LAST ST DEV %INCR AVG ST DEV 55 5037 31 1989 0.232985 1997 0.310277 33% 0.258681 55 5040 35 1990 0.345894 1997 0.413927 20% 0.383471

Key Terms



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