# HW4 - Florida International University Department of Civil...

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Unformatted text preview: Florida International University Department of Civil and Environmental Engineering CWR6117 – Statistical Hydrology Assignment No. 4 – Due April 14, 2009 This assignment concerns kriging of rainfall data. See the attached data for a series of rainfall stations located within the Everglades National Park in Florida. do the following: (a) Compute the mean and variance of the spatial data. (b) Convert the latitude/longitude to spatial coordinates (UTM). Use a coordinate converter such as this: http://www.cellspark.com/UTM.html (c) Compute the covariance function R(r) for this spatial data using the procedure discussed in class. (d) Use kriging to interpolate rainfall values to 5 locations of your choice. Make one of these locations a measured one so you can confirm the accuracy of the kriging calculations (as discussed in class). Choose your locations so you can find interesting results. Discuss the accuracy of the results in terms of the kriging variance. Station locations 26.0 N 25.5 N 25.0 N 81.5 W 81.0 W 80.5 W 80.0 W Figure 1: Location of the rainfall stations (black circles) listed on Table 1. The black line recreates the coastal line and the green line denotes the boundaries of the Everglades National Park. Table 1: Rainfall and ET station coordinates, DBKEY, date range for time series data and available number of daily rate values referred to a year period (365 days) Station ID 84095 88780 BCA20 BCNPA9 CHEKIKA G­1502 HOMES.ES HOMES.ES NESRS1 NP­201 NP­202 NP­203 NP­205 NP­206 NP­311 NP­A13 NP­CR2 NP­FMB NP­IFS NP­N10 NP­OT3 NP­P33 NP­P34 NP­P35 NP­P36 NP­RG1 NP­ROB ROCKDAL E S12D S174 S331 S332 S334 S335 S336 S336 S338 TAMITR4 0 Latitude DDMMSS 253004 254539 254223 254643 254201 253657 253031 253031 254129.95 254300 253943 253722 254119 253239 252651 252950 252955 254532 253035 252743 253448 253653.43 253631.14 252739.32 253142.28 253453 252627 Longitude DDMMSS ‐803300 ‐804927 ‐805605 ‐805443 ‐803759 ‐803502 ‐802959 ‐802959 ‐803805.71 ‐804310 ‐804231 ‐804419 ‐805052 ‐804019 ‐803734 ‐804245 ‐803718 ‐804941 ‐802959 ‐803618 ‐805753 ‐804209.12 ‐805627.68 ‐805153.39 ‐804743.89 ‐803628 ‐803307 DBKEY Start End PT257,PT258,PT259 PT393,PT394,PT395 PT551 TB034 16709 06029 06211,07480 06268 H6057,EDEN 785,6044,EDEN G6149,EDEN 6040,EDEN 793,G6147,EDEN 743,G6155,EDEN H1994,ENP H1975,EDEN H2438 H2005,ENP HB872 H1974 H6055 G6152 6036,ENP H1999,ENP 6038,EDEN H6056,EDEN H2003 06/01/90 07/02/48 06/13/02 03/08/06 10/21/93 04/27/84 01/01/14 01/01/42 11/01/85 10/01/74 02/04/93 02/13/82 05/28/75 05/15/75 09/28/85 09/25/96 06/07/96 01/01/49 01/01/14 09/15/94 03/19/93 11/06/93 12/01/83 02/11/82 10/15/83 09/14/96 12/10/94 12/28/01 10/26/01 03/07/07 03/08/07 05/13/05 01/31/91 09/30/88 07/31/91 09/30/06 09/29/06 09/28/06 09/29/06 09/29/06 08/24/06 12/31/02 09/29/06 12/31/99 12/31/02 12/31/99 11/30/98 12/31/99 09/29/06 12/31/02 12/31/02 12/31/99 09/29/06 12/31/99 252551 ‐803447 07082 08/29/85 05/25/90 1493 314.8 254544 252901 253639 252518 254541 254634 254540 254540 253938 ‐804054 ‐803348 ‐803035 ‐803523 ‐803010 ‐802859 ‐802950 ‐802950 ‐802849 5959,6055,LS269 16584 16662 13091,16660 K8651 K8652 05920 16713 16661 01/01/62 01/08/91 01/08/91 03/10/89 03/18/97 03/18/97 05/23/79 10/12/95 10/21/93 13189 5597 5648 5716 3614 3634 6569 4149 4546 291.3 346.0 347.5 316.0 359.7 361.7 355.9 361.2 337.5 254537 ‐804929 06166 01/06/41 11/30/98 20415 352.3 04/02/07 03/09/07 04/06/07 04/06/07 04/01/07 04/01/07 10/31/97 04/04/07 04/06/07 Valid values 2789 15124 1605 366 3595 2408 25814 15726 5487 8191 4557 7769 5212 7307 6266 3651 1241 19662 27970 1433 2438 4144 6547 6814 5224 3227 1730 Values / 365 days 240.7 283.5 338.8 365.0 310.7 355.7 345.1 317.0 262.2 255.8 333.7 315.3 166.2 233.4 362.8 364.4 347.6 363.9 325.0 340.1 359.0 321.1 342.8 326.0 322.0 321.1 341.7 Table 2: Rainfall daily rate values referred to a year period (365 days) Station ID 84095 88780 BCA20 BCNPA9 CHEKIKA G­1502 HOMES.ES HOMES.ES NESRS1 NP­201 NP­202 NP­203 NP­205 NP­206 NP­311 NP­A13 NP­CR2 NP­FMB NP­IFS NP­N10 NP­OT3 NP­P33 NP­P34 NP­P35 NP­P36 NP­RG1 NP­ROB ROCKDALE S12D S174 S331 S332 S334 S335 S336 S336 S338 TAMITR40 Annual Rainfall (in) 63.3024 54.2280 53.6357 53.9821 49.7669 58.9351 61.5561 54.6892 54.8139 51.9756 49.2725 54.4544 57.7179 51.8963 58.5596 61.1147 66.7765 54.0487 61.4878 53.5656 52.4744 52.6444 53.8798 54.9167 51.5500 57.3775 64.9953 46.0467 52.6055 59.2791 61.1827 56.4300 66.1525 52.2862 48.4596 52.0879 49.4926 53.6379 ...
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