Input Data
In this tutorial, we introduce how to use helios to
calculate heating degree-days (HDD) and cooling degree-days (CDD) for
the whole globe. The annual HDD and CDD with global coverage can be used
in GCAM with 32 regions. helios currently supports climate
data that has same format with ISIMIP statistical downscaling CMIP
climate data. Table 1 shows more details on the
climate and population data supported by helios for
GCAM-Regions.
Table 1: Description of required input data in this tutorial.
| Specification | CMIP Climate Data | Population Data |
|---|---|---|
| Input Format | NetCDF File | NetCDF File |
| Spatial Resolution | 0.5 degree | No Limit |
| Temporal Resolution | Daily | Annual |
| Required Variable | Temperature tas (K) |
Population (thousand capita) |
| Full Dataset Download | ISIMIP | Jones and O’Neill, 2020 |
| Example Dataset | helios::example_wrf_china_ncdf |
helios::example_pop_china_ncdf |
Please note that helios can process multiple climate
NetCDF files with one population CSV file for each run. However,
parallelizing grouped climate data can improve calculation efficiency
for large dataset.
Workflow
helios includes 6 major steps in the workflow for global
heating and cooling degree-days calculation (Figure
1),
- Step 1: Process climate NetCDF at 0.5-degree resolution.
- Step 2: Calculate weighted population.
- Step 3: Calculate heating and cooling degree-days at grid resolution.
- Step 4: Calculate heating and cooling degree-days at monthly and annual scale for GCAM regions.
- Step 5: Calculate annual heating and cooling degree-days by GCAM region and building energy demand sector (This can be used as input to GCAM).
- Step 6: Post-process for diagnostic and convert to GCAM required format.
Figure 1: Helios workflow for global heating and cooling degree-days for general GCAM.
Method
helios calculates heating and cooling degree-days for
the Global implementation. Table 2 shows more
details of the method
Table 2: Methods for calculating heating and cooling degree-days at different temporal scales.
| Temporal Scale | Spatial Scale | Sector | Unit | Method |
|---|---|---|---|---|
| Daily | 32 GCAM Regions | Building Thermal Service* | Degree-days | 1. Calculate gridded heating degree-days (HDD) and cooling
degree-days (CDD) as the difference between daily temperature and
comfortable temperature (65F). \[HDH = T_i - T_{comfort}, \ if \ T_i < T_{comfort}\] \[CDH = T_i - T_{comfort}, \ if \ T_i > T_{comfort}\] where, \(T_i\) is the daily temperature at a grid cell; \(T_{comfort}\) is the comfortable temperature (assuming 65F globally). 2. Multiply the weighted population with the degree-day within the same grid cell. 3. Aggregate daily gridded HDD and CDD by GCAM region. |
| Monthly | 32 GCAM Regions | N/A | Degree-days | 1. Aggregate daily heating degree-days (HDD < 0) and cooling degree-days (CDD > 0) to monthly scale, respectively. |
| Annual | 32 GCAM Regions | N/A | Degree-days | 1. Aggregate monthly heating degree-days (HDD < 0) and cooling degree-days (CDD > 0) to annual scale, respectively. |
* Building thermal service includes: commercial heating, commercial cooling, residential heating, and residential cooling.
Examples
Example climate and population data
Due to large size of the climate data (NetCDF file),
helios provide spatially subset of example data for
demonstration purpose.
-
Climate NetCDF File:
helios::example_wrf_china_ncdfsubsets a [100,110,30,40] longitude and latitude box within China (0.5-degree resolution) from the global CMIP daily data. Data time ranges from 2015 to 2020. -
Population NetCDF File:
helios::example_pop_china_ncdfsubsets 121 0.5-degree grid cells within China from the 2020 population data under SSP1. The data is at 0.125 degree resolution.
Read climate and population data
Users can use helios functions to read climate and
population data and convert to tabular table with latitudes and
longitudes.
-
helios::read_ncdfaccepts NetCDF format -
helios::read_populationaccepts NetCDF and CSV formats
# example data: CMIP6 daily climate at 0.5 degree resolution
path_to_climate_ncdf <- helios::pkg_example('gfdl-esm4_r1i1p1f1_w5e5_ssp126_tas_global_daily_2015_2020_sub.nc')
temperature <- helios::read_ncdf(ncdf = path_to_climate_ncdf,
model = 'cmip',
var = 'tas',
time_periods = 2020)| 2020-01-01 | 2020-01-02 | 2020-01-03 | 2020-01-04 | 2020-01-05 | 2020-01-06 | 2020-01-07 | 2020-01-08 | 2020-01-09 | 2020-01-10 | 2020-01-11 | 2020-01-12 | 2020-01-13 | 2020-01-14 | 2020-01-15 | 2020-01-16 | 2020-01-17 | 2020-01-18 | 2020-01-19 | 2020-01-20 | 2020-01-21 | 2020-01-22 | 2020-01-23 | 2020-01-24 | 2020-01-25 | 2020-01-26 | 2020-01-27 | 2020-01-28 | 2020-01-29 | 2020-01-30 | 2020-01-31 | 2020-02-01 | 2020-02-02 | 2020-02-03 | 2020-02-04 | 2020-02-05 | 2020-02-06 | 2020-02-07 | 2020-02-08 | 2020-02-09 | 2020-02-10 | 2020-02-11 | 2020-02-12 | 2020-02-13 | 2020-02-14 | 2020-02-15 | 2020-02-16 | 2020-02-17 | 2020-02-18 | 2020-02-19 | 2020-02-20 | 2020-02-21 | 2020-02-22 | 2020-02-23 | 2020-02-24 | 2020-02-25 | 2020-02-26 | 2020-02-27 | 2020-02-28 | 2020-02-29 | 2020-03-01 | 2020-03-02 | 2020-03-03 | 2020-03-04 | 2020-03-05 | 2020-03-06 | 2020-03-07 | 2020-03-08 | 2020-03-09 | 2020-03-10 | 2020-03-11 | 2020-03-12 | 2020-03-13 | 2020-03-14 | 2020-03-15 | 2020-03-16 | 2020-03-17 | 2020-03-18 | 2020-03-19 | 2020-03-20 | 2020-03-21 | 2020-03-22 | 2020-03-23 | 2020-03-24 | 2020-03-25 | 2020-03-26 | 2020-03-27 | 2020-03-28 | 2020-03-29 | 2020-03-30 | 2020-03-31 | 2020-04-01 | 2020-04-02 | 2020-04-03 | 2020-04-04 | 2020-04-05 | 2020-04-06 | 2020-04-07 | 2020-04-08 | 2020-04-09 | 2020-04-10 | 2020-04-11 | 2020-04-12 | 2020-04-13 | 2020-04-14 | 2020-04-15 | 2020-04-16 | 2020-04-17 | 2020-04-18 | 2020-04-19 | 2020-04-20 | 2020-04-21 | 2020-04-22 | 2020-04-23 | 2020-04-24 | 2020-04-25 | 2020-04-26 | 2020-04-27 | 2020-04-28 | 2020-04-29 | 2020-04-30 | 2020-05-01 | 2020-05-02 | 2020-05-03 | 2020-05-04 | 2020-05-05 | 2020-05-06 | 2020-05-07 | 2020-05-08 | 2020-05-09 | 2020-05-10 | 2020-05-11 | 2020-05-12 | 2020-05-13 | 2020-05-14 | 2020-05-15 | 2020-05-16 | 2020-05-17 | 2020-05-18 | 2020-05-19 | 2020-05-20 | 2020-05-21 | 2020-05-22 | 2020-05-23 | 2020-05-24 | 2020-05-25 | 2020-05-26 | 2020-05-27 | 2020-05-28 | 2020-05-29 | 2020-05-30 | 2020-05-31 | 2020-06-01 | 2020-06-02 | 2020-06-03 | 2020-06-04 | 2020-06-05 | 2020-06-06 | 2020-06-07 | 2020-06-08 | 2020-06-09 | 2020-06-10 | 2020-06-11 | 2020-06-12 | 2020-06-13 | 2020-06-14 | 2020-06-15 | 2020-06-16 | 2020-06-17 | 2020-06-18 | 2020-06-19 | 2020-06-20 | 2020-06-21 | 2020-06-22 | 2020-06-23 | 2020-06-24 | 2020-06-25 | 2020-06-26 | 2020-06-27 | 2020-06-28 | 2020-06-29 | 2020-06-30 | 2020-07-01 | 2020-07-02 | 2020-07-03 | 2020-07-04 | 2020-07-05 | 2020-07-06 | 2020-07-07 | 2020-07-08 | 2020-07-09 | 2020-07-10 | 2020-07-11 | 2020-07-12 | 2020-07-13 | 2020-07-14 | 2020-07-15 | 2020-07-16 | 2020-07-17 | 2020-07-18 | 2020-07-19 | 2020-07-20 | 2020-07-21 | 2020-07-22 | 2020-07-23 | 2020-07-24 | 2020-07-25 | 2020-07-26 | 2020-07-27 | 2020-07-28 | 2020-07-29 | 2020-07-30 | 2020-07-31 | 2020-08-01 | 2020-08-02 | 2020-08-03 | 2020-08-04 | 2020-08-05 | 2020-08-06 | 2020-08-07 | 2020-08-08 | 2020-08-09 | 2020-08-10 | 2020-08-11 | 2020-08-12 | 2020-08-13 | 2020-08-14 | 2020-08-15 | 2020-08-16 | 2020-08-17 | 2020-08-18 | 2020-08-19 | 2020-08-20 | 2020-08-21 | 2020-08-22 | 2020-08-23 | 2020-08-24 | 2020-08-25 | 2020-08-26 | 2020-08-27 | 2020-08-28 | 2020-08-29 | 2020-08-30 | 2020-08-31 | 2020-09-01 | 2020-09-02 | 2020-09-03 | 2020-09-04 | 2020-09-05 | 2020-09-06 | 2020-09-07 | 2020-09-08 | 2020-09-09 | 2020-09-10 | 2020-09-11 | 2020-09-12 | 2020-09-13 | 2020-09-14 | 2020-09-15 | 2020-09-16 | 2020-09-17 | 2020-09-18 | 2020-09-19 | 2020-09-20 | 2020-09-21 | 2020-09-22 | 2020-09-23 | 2020-09-24 | 2020-09-25 | 2020-09-26 | 2020-09-27 | 2020-09-28 | 2020-09-29 | 2020-09-30 | 2020-10-01 | 2020-10-02 | 2020-10-03 | 2020-10-04 | 2020-10-05 | 2020-10-06 | 2020-10-07 | 2020-10-08 | 2020-10-09 | 2020-10-10 | 2020-10-11 | 2020-10-12 | 2020-10-13 | 2020-10-14 | 2020-10-15 | 2020-10-16 | 2020-10-17 | 2020-10-18 | 2020-10-19 | 2020-10-20 | 2020-10-21 | 2020-10-22 | 2020-10-23 | 2020-10-24 | 2020-10-25 | 2020-10-26 | 2020-10-27 | 2020-10-28 | 2020-10-29 | 2020-10-30 | 2020-10-31 | 2020-11-01 | 2020-11-02 | 2020-11-03 | 2020-11-04 | 2020-11-05 | 2020-11-06 | 2020-11-07 | 2020-11-08 | 2020-11-09 | 2020-11-10 | 2020-11-11 | 2020-11-12 | 2020-11-13 | 2020-11-14 | 2020-11-15 | 2020-11-16 | 2020-11-17 | 2020-11-18 | 2020-11-19 | 2020-11-20 | 2020-11-21 | 2020-11-22 | 2020-11-23 | 2020-11-24 | 2020-11-25 | 2020-11-26 | 2020-11-27 | 2020-11-28 | 2020-11-29 | 2020-11-30 | 2020-12-01 | 2020-12-02 | 2020-12-03 | 2020-12-04 | 2020-12-05 | 2020-12-06 | 2020-12-07 | 2020-12-08 | 2020-12-09 | 2020-12-10 | 2020-12-11 | 2020-12-12 | 2020-12-13 | 2020-12-14 | 2020-12-15 | 2020-12-16 | 2020-12-17 | 2020-12-18 | 2020-12-19 | 2020-12-20 | 2020-12-21 | 2020-12-22 | 2020-12-23 | 2020-12-24 | 2020-12-25 | 2020-12-26 | 2020-12-27 | 2020-12-28 | 2020-12-29 | 2020-12-30 | 2020-12-31 | lon | lat |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 263.6623 | 268.1363 | 268.7297 | 270.0648 | 266.6488 | 262.5184 | 261.7216 | 262.4232 | 261.9314 | 265.3373 | 265.5084 | 266.0381 | 263.5241 | 263.8323 | 263.5619 | 262.1119 | 261.8411 | 261.7801 | 260.9945 | 260.8299 | 263.4035 | 265.1911 | 263.0069 | 264.3473 | 262.7382 | 261.9808 | 263.7375 | 268.3885 | 270.4925 | 268.7042 | 266.9743 | 268.3402 | 268.5300 | 266.5179 | 267.3504 | 270.1119 | 269.0616 | 265.7330 | 262.9557 | 264.7902 | 268.0004 | 269.4015 | 267.0963 | 267.2444 | 268.4254 | 269.3221 | 272.4082 | 272.1882 | 270.9693 | 269.4855 | 268.6405 | 271.0223 | 268.7256 | 264.2931 | 269.1898 | 269.2008 | 269.9604 | 269.7421 | 268.1123 | 267.7465 | 266.3400 | 266.3017 | 265.5431 | 271.2737 | 273.4262 | 272.1371 | 271.5636 | 270.6212 | 269.9446 | 270.6491 | 270.5427 | 270.1498 | 268.0753 | 267.8161 | 266.3032 | 270.0928 | 273.8086 | 275.1316 | 274.7640 | 272.1867 | 271.6174 | 271.1181 | 270.2995 | 271.3456 | 271.6723 | 271.9101 | 272.0051 | 271.9785 | 271.4054 | 267.9190 | 268.0169 | 268.9010 | 270.1010 | 264.6170 | 271.9763 | 275.3712 | 277.8425 | 274.8607 | 275.8809 | 273.0691 | 275.1021 | 274.0019 | 270.6978 | 275.3591 | 276.3294 | 277.3960 | 276.1955 | 273.6345 | 275.5355 | 274.4258 | 275.7189 | 277.5407 | 275.5460 | 273.2677 | 276.8179 | 277.1952 | 277.7491 | 274.1696 | 277.1980 | 275.2378 | 273.4326 | 281.4649 | 282.9148 | 284.4289 | 282.2525 | 278.5333 | 279.2443 | 278.1047 | 276.2566 | 271.6496 | 279.2621 | 277.3300 | 279.1398 | 280.2806 | 279.2461 | 279.8332 | 278.3143 | 278.1807 | 282.2093 | 280.4593 | 279.4146 | 278.2621 | 278.1038 | 279.0762 | 277.7754 | 279.2889 | 277.7011 | 282.3206 | 280.7906 | 281.8382 | 281.9039 | 282.4206 | 280.0514 | 281.9162 | 281.8186 | 281.0959 | 281.4719 | 282.5309 | 282.5439 | 283.3694 | 282.5777 | 281.2754 | 282.7493 | 283.8586 | 284.9425 | 285.4435 | 282.8747 | 281.9485 | 278.9522 | 280.7839 | 279.5991 | 278.3096 | 282.9404 | 280.5142 | 280.5399 | 278.5080 | 280.3274 | 281.8553 | 283.2740 | 284.2162 | 282.2237 | 282.3776 | 281.1166 | 283.0010 | 282.9655 | 284.0429 | 284.6351 | 284.5048 | 284.9880 | 284.5210 | 282.8245 | 283.4250 | 283.4200 | 282.8608 | 283.1443 | 283.5390 | 282.0645 | 285.4627 | 286.3059 | 285.1086 | 284.7367 | 283.7592 | 280.4040 | 280.8108 | 282.0876 | 281.4943 | 282.8399 | 283.6997 | 282.5694 | 284.0020 | 283.8779 | 283.7356 | 282.9789 | 284.1584 | 282.0988 | 284.0846 | 281.8209 | 283.4591 | 284.4353 | 283.6137 | 280.1129 | 284.0583 | 283.7815 | 283.7336 | 285.1901 | 284.4378 | 283.6439 | 281.7545 | 282.0440 | 282.2251 | 282.0206 | 279.5892 | 279.7238 | 280.5892 | 283.4589 | 283.5694 | 282.6122 | 277.8043 | 282.4625 | 283.8186 | 283.0295 | 281.8455 | 282.8282 | 281.3500 | 282.7960 | 283.3750 | 281.8358 | 282.2945 | 283.6934 | 283.1936 | 283.1052 | 282.8546 | 282.3981 | 282.6799 | 280.4578 | 281.2082 | 281.5453 | 276.7864 | 274.4610 | 276.7906 | 279.7288 | 279.2953 | 280.7451 | 279.5477 | 280.2507 | 278.8603 | 276.2539 | 277.7171 | 280.7086 | 279.8749 | 281.0082 | 281.7885 | 282.0508 | 281.5960 | 281.8778 | 282.6264 | 279.5698 | 278.0241 | 277.7784 | 276.6416 | 278.8017 | 277.9353 | 273.7885 | 277.7967 | 277.8774 | 277.9622 | 279.5241 | 279.9445 | 278.5859 | 277.1688 | 276.7098 | 276.9055 | 276.5214 | 272.3066 | 276.6884 | 275.8693 | 274.2680 | 273.1505 | 269.5475 | 275.1508 | 275.6360 | 275.6391 | 275.5802 | 273.0849 | 274.7018 | 275.7310 | 273.3500 | 274.3012 | 275.3936 | 275.1143 | 274.7417 | 275.7467 | 272.0116 | 271.6698 | 271.4565 | 265.9164 | 269.0846 | 268.7324 | 265.9978 | 266.5450 | 266.9977 | 266.8883 | 266.7177 | 266.4422 | 262.6440 | 264.0386 | 272.6217 | 266.2716 | 268.2766 | 269.9009 | 265.3580 | 268.9715 | 269.1721 | 271.1351 | 272.4716 | 268.8695 | 262.1045 | 262.2623 | 264.5096 | 267.6969 | 262.1384 | 257.3744 | 260.8344 | 265.6710 | 268.1531 | 262.1987 | 266.4711 | 261.0816 | 263.1066 | 265.6666 | 267.0560 | 267.5648 | 265.6668 | 264.3943 | 264.6804 | 264.3385 | 264.2821 | 265.3149 | 264.3810 | 262.1600 | 260.3925 | 259.7606 | 262.4707 | 264.2354 | 261.6857 | 265.7961 | 100.25 | 30.25 |
| 267.9874 | 271.6518 | 272.7251 | 273.9499 | 271.1651 | 266.0241 | 265.5305 | 266.3794 | 265.8459 | 268.8044 | 269.0298 | 269.1357 | 267.1772 | 267.8477 | 267.1909 | 265.3221 | 264.4277 | 266.3487 | 265.2778 | 264.7622 | 267.4755 | 270.2901 | 267.4840 | 268.3462 | 267.0344 | 266.3695 | 267.6837 | 270.6668 | 273.8126 | 273.1588 | 270.9190 | 272.8106 | 272.1168 | 269.9646 | 270.6073 | 273.7699 | 273.1113 | 269.8327 | 267.3131 | 268.2961 | 273.0314 | 273.6342 | 271.3508 | 271.1197 | 271.9111 | 272.3231 | 276.0436 | 276.9845 | 275.0693 | 274.8307 | 272.3317 | 274.6935 | 272.4873 | 267.7418 | 273.4630 | 273.8872 | 274.1117 | 273.4847 | 271.7131 | 270.9170 | 270.3927 | 269.5768 | 267.8480 | 274.7004 | 277.6451 | 276.4120 | 275.6876 | 275.1057 | 274.1194 | 274.6995 | 273.6812 | 273.0132 | 271.7731 | 272.0273 | 269.7531 | 273.7440 | 277.4379 | 279.7204 | 280.1128 | 278.4237 | 275.4625 | 275.1290 | 273.4518 | 274.7629 | 275.2481 | 275.4308 | 274.6988 | 275.3960 | 273.6751 | 271.2950 | 270.9242 | 272.2830 | 272.8756 | 269.6911 | 276.5864 | 278.1617 | 281.4377 | 278.9009 | 279.7217 | 276.3918 | 279.0219 | 277.3998 | 275.9593 | 279.9447 | 280.2289 | 280.5403 | 280.0582 | 279.3757 | 280.1617 | 278.4475 | 280.6176 | 282.4174 | 278.6473 | 279.4230 | 281.3682 | 280.8461 | 280.8162 | 277.1054 | 281.6132 | 278.5526 | 278.4626 | 286.0053 | 287.5726 | 288.2454 | 285.0753 | 280.5891 | 282.3400 | 281.5232 | 279.1531 | 276.0219 | 283.0607 | 279.6918 | 282.7985 | 284.0297 | 281.8664 | 282.1813 | 280.7382 | 280.1874 | 285.6104 | 283.1048 | 283.4455 | 280.9554 | 281.3725 | 282.0386 | 281.6089 | 282.5016 | 280.3661 | 285.6165 | 284.9150 | 285.6284 | 285.9023 | 285.6582 | 283.9390 | 285.1549 | 285.2873 | 284.8033 | 284.7434 | 285.8862 | 285.8168 | 286.6950 | 285.9408 | 284.2310 | 285.6830 | 286.9724 | 288.1890 | 288.2211 | 285.7684 | 286.1992 | 283.2410 | 283.8842 | 284.1483 | 282.7945 | 286.6109 | 283.9700 | 284.6704 | 281.4388 | 283.9569 | 285.4953 | 287.3821 | 288.2345 | 286.1372 | 285.4906 | 284.6041 | 286.1898 | 286.8857 | 287.7179 | 288.2422 | 287.9897 | 288.7075 | 287.8462 | 286.4338 | 287.0337 | 286.7173 | 286.0295 | 287.4109 | 287.0122 | 286.4698 | 289.5905 | 290.1500 | 288.5674 | 288.6460 | 286.8248 | 284.6936 | 284.7243 | 285.8094 | 285.1983 | 286.6031 | 287.5723 | 286.9407 | 287.8351 | 287.4898 | 287.7679 | 286.8099 | 287.9348 | 286.1390 | 287.9599 | 285.7997 | 287.0555 | 288.1427 | 287.2346 | 283.8554 | 287.8446 | 286.9652 | 287.4830 | 288.8528 | 287.8608 | 286.9325 | 285.0931 | 286.2924 | 286.3261 | 286.1888 | 283.4139 | 283.7701 | 283.6267 | 286.9034 | 287.1507 | 285.3323 | 282.3630 | 285.8491 | 287.2809 | 287.0808 | 285.1867 | 286.0092 | 285.5126 | 286.5770 | 286.8740 | 286.9769 | 286.3575 | 287.0537 | 286.8219 | 286.4419 | 286.3496 | 285.5755 | 285.8872 | 283.5241 | 285.4343 | 284.6119 | 280.4662 | 278.9505 | 281.6089 | 283.0363 | 282.2444 | 283.2394 | 280.3817 | 282.8493 | 283.5821 | 279.2000 | 281.8752 | 283.8968 | 282.8980 | 284.1230 | 285.3082 | 285.3498 | 285.0674 | 286.1212 | 285.6041 | 283.3598 | 281.0724 | 279.6537 | 280.7346 | 282.1010 | 279.0941 | 276.2340 | 279.8657 | 280.9458 | 282.6774 | 282.6064 | 283.6619 | 283.0634 | 281.0846 | 280.0167 | 280.2776 | 278.2114 | 274.6473 | 278.6819 | 278.3141 | 276.8400 | 277.5633 | 270.6879 | 277.9059 | 279.6817 | 277.7628 | 279.0499 | 276.5385 | 278.3147 | 279.6396 | 274.7440 | 276.5818 | 277.2526 | 277.3369 | 277.8435 | 277.7771 | 275.7101 | 275.4794 | 273.7325 | 267.6570 | 272.8069 | 271.6969 | 269.4257 | 270.6751 | 270.2019 | 269.7473 | 270.0651 | 269.4906 | 262.9709 | 266.5394 | 273.9750 | 268.1055 | 268.0830 | 272.9164 | 268.2118 | 270.9787 | 271.3825 | 274.3633 | 275.3966 | 269.9563 | 262.5426 | 264.0377 | 266.8218 | 269.6626 | 264.9084 | 260.8281 | 263.2394 | 266.4154 | 269.9133 | 265.0232 | 267.0811 | 264.8798 | 265.4927 | 268.4721 | 269.3950 | 269.5655 | 268.3564 | 266.3553 | 267.2170 | 267.0859 | 265.9150 | 268.1662 | 266.9411 | 262.8029 | 262.2139 | 262.7190 | 265.0550 | 265.7913 | 262.5262 | 267.6204 | 100.25 | 30.75 |
| 266.3902 | 270.5889 | 271.2938 | 272.2028 | 269.6648 | 264.3639 | 264.5732 | 265.0448 | 264.0181 | 266.8390 | 266.9980 | 267.6233 | 265.3785 | 266.6715 | 265.2682 | 263.9409 | 262.7082 | 265.9530 | 264.9883 | 264.1255 | 266.5079 | 268.8189 | 265.6775 | 265.5923 | 265.3987 | 264.7690 | 265.5397 | 267.3193 | 271.4627 | 271.1273 | 269.0742 | 271.4870 | 269.8626 | 267.3830 | 268.1034 | 272.3921 | 272.2038 | 268.4979 | 264.4789 | 264.6884 | 270.4587 | 272.0395 | 269.9249 | 268.0091 | 267.4756 | 268.3510 | 274.0696 | 275.4078 | 272.6202 | 272.9283 | 269.6875 | 272.8791 | 270.4242 | 266.2411 | 272.1951 | 273.0499 | 273.7024 | 272.4633 | 269.4016 | 268.1046 | 267.1936 | 266.1599 | 263.9412 | 271.9124 | 274.6440 | 274.1264 | 273.3512 | 272.8717 | 272.7282 | 273.0445 | 270.2123 | 270.1960 | 268.0027 | 268.5200 | 265.3120 | 270.0739 | 273.9898 | 276.5483 | 277.6333 | 275.3451 | 272.8650 | 272.5283 | 271.6925 | 271.7260 | 272.9094 | 272.6558 | 271.7930 | 272.9059 | 269.9637 | 269.0640 | 268.4953 | 269.7799 | 269.9286 | 268.1690 | 273.3289 | 275.1767 | 278.2985 | 277.1281 | 276.9621 | 273.3611 | 276.4730 | 274.6803 | 272.5343 | 276.6960 | 276.9080 | 277.1123 | 277.9095 | 277.4172 | 278.1120 | 276.2352 | 278.6981 | 280.5328 | 276.1807 | 277.4944 | 278.9214 | 278.5449 | 278.3101 | 273.7814 | 279.5484 | 275.6776 | 277.2907 | 284.3738 | 285.5297 | 285.2037 | 281.2523 | 277.8165 | 279.5502 | 279.3596 | 275.5178 | 272.0338 | 281.0405 | 277.8430 | 280.7155 | 282.2456 | 279.6013 | 279.2722 | 278.5242 | 277.0723 | 283.4374 | 280.5544 | 281.7651 | 277.9134 | 279.2878 | 279.4242 | 280.2176 | 280.1716 | 277.7615 | 283.3442 | 282.6734 | 283.3255 | 283.8813 | 283.2977 | 281.4951 | 283.0765 | 283.0988 | 282.4999 | 282.3380 | 283.5546 | 283.3562 | 284.5409 | 283.7779 | 281.5363 | 283.1339 | 284.6111 | 286.1328 | 285.9840 | 283.2223 | 284.5659 | 281.7863 | 281.0434 | 282.7658 | 281.9287 | 284.6482 | 281.4850 | 282.4127 | 278.1643 | 281.5343 | 283.8120 | 285.5093 | 286.1021 | 284.4311 | 283.4383 | 281.9927 | 283.8143 | 285.3493 | 285.7812 | 286.7672 | 286.6128 | 287.1570 | 285.3446 | 284.6964 | 285.6679 | 284.5182 | 282.9966 | 285.8138 | 285.0445 | 284.7545 | 287.5828 | 287.9274 | 286.7194 | 286.7946 | 283.5190 | 283.4442 | 282.7218 | 283.8780 | 283.6435 | 285.1094 | 285.7560 | 285.6581 | 285.4804 | 285.5575 | 285.8991 | 285.1853 | 285.9416 | 284.1424 | 286.1419 | 283.9982 | 285.2876 | 286.0414 | 285.0870 | 283.1357 | 285.9173 | 284.7289 | 285.5378 | 286.7515 | 285.3365 | 283.9805 | 282.7563 | 284.5277 | 284.5145 | 284.4109 | 281.6423 | 281.6002 | 280.7310 | 285.0557 | 285.0605 | 282.5865 | 281.4651 | 283.4073 | 284.7779 | 285.1052 | 282.4014 | 283.4163 | 283.6626 | 284.7252 | 284.8378 | 284.8539 | 284.4553 | 285.2548 | 285.1111 | 284.8898 | 284.4568 | 283.8638 | 284.0554 | 281.3080 | 283.7812 | 281.9145 | 278.1526 | 276.6968 | 280.4628 | 281.5521 | 280.1315 | 280.2261 | 276.9549 | 279.3480 | 282.2693 | 276.4351 | 280.1120 | 280.6101 | 278.9353 | 281.8339 | 283.6340 | 283.5750 | 283.1342 | 284.5156 | 283.7572 | 281.4829 | 278.0632 | 278.0225 | 278.8679 | 280.5724 | 276.4300 | 273.4904 | 276.4059 | 278.0938 | 280.8678 | 279.8768 | 280.8653 | 280.8485 | 279.9244 | 277.7207 | 278.4198 | 276.0207 | 271.2964 | 276.1063 | 276.4250 | 273.0677 | 276.1455 | 268.1706 | 274.8543 | 277.6672 | 276.1262 | 277.2269 | 274.9313 | 275.7585 | 278.3399 | 271.8021 | 272.4169 | 274.2808 | 275.1711 | 276.1210 | 274.9884 | 273.7988 | 273.1982 | 270.0705 | 265.1437 | 269.8093 | 268.9039 | 267.0467 | 268.5038 | 268.3529 | 267.1607 | 267.4962 | 266.1109 | 256.7532 | 262.5713 | 270.6817 | 263.7024 | 263.3891 | 270.1086 | 265.6316 | 266.9957 | 267.3156 | 271.6657 | 272.9760 | 265.5546 | 258.9392 | 262.9487 | 264.6418 | 266.8781 | 262.5117 | 258.4021 | 261.1790 | 262.4693 | 266.7166 | 262.8761 | 261.8499 | 262.5746 | 264.1359 | 266.4709 | 266.7950 | 267.3316 | 266.3615 | 263.0005 | 265.2427 | 265.0318 | 263.5273 | 265.4779 | 264.0054 | 259.4933 | 258.7126 | 260.1755 | 262.2359 | 263.9557 | 258.8745 | 265.0727 | 100.25 | 31.25 |
| 266.1884 | 269.7415 | 271.0742 | 273.0849 | 270.4002 | 263.8277 | 264.8132 | 264.2865 | 263.9311 | 267.4742 | 268.6322 | 268.6225 | 266.3062 | 266.5948 | 265.9602 | 264.6283 | 262.2244 | 267.4730 | 267.5760 | 265.1509 | 266.0027 | 268.9703 | 266.9316 | 266.9544 | 265.3330 | 264.4160 | 264.0725 | 265.8372 | 269.5906 | 270.2286 | 268.1863 | 271.1318 | 268.0491 | 265.6550 | 265.7509 | 269.9407 | 270.0554 | 266.1669 | 261.0421 | 260.9763 | 268.3149 | 270.6821 | 268.4079 | 265.2126 | 263.4719 | 264.5532 | 269.1500 | 271.0420 | 270.7532 | 271.4475 | 267.8098 | 270.4301 | 268.9836 | 265.3962 | 271.6800 | 271.9823 | 272.6076 | 271.5711 | 266.7174 | 266.2041 | 265.8383 | 266.0529 | 262.3452 | 269.8925 | 272.9217 | 271.8000 | 271.6129 | 271.0282 | 270.8483 | 270.5276 | 268.6849 | 268.7273 | 267.8774 | 268.6945 | 262.5827 | 269.4991 | 272.1305 | 275.8724 | 276.2674 | 275.5293 | 271.4846 | 271.6327 | 271.1738 | 270.7088 | 271.7422 | 270.5252 | 271.0065 | 271.1833 | 267.5487 | 266.9413 | 265.9724 | 269.6051 | 266.9332 | 269.9551 | 273.1827 | 273.8587 | 277.1415 | 276.8273 | 276.8362 | 274.5294 | 275.5085 | 272.2785 | 271.3117 | 275.9283 | 275.7652 | 276.3609 | 277.1792 | 278.2889 | 277.2712 | 276.1436 | 278.5275 | 279.8364 | 275.7364 | 277.7382 | 278.2316 | 277.3687 | 276.8957 | 272.1909 | 278.6469 | 273.6074 | 277.0321 | 283.0089 | 284.3715 | 282.7362 | 278.1212 | 276.2956 | 278.3755 | 276.1885 | 274.7207 | 272.0779 | 280.7943 | 277.4584 | 279.5750 | 281.3448 | 278.7449 | 276.9462 | 278.2816 | 275.1740 | 282.6939 | 279.3993 | 280.6202 | 276.7016 | 279.0284 | 278.5432 | 279.6917 | 280.0888 | 277.5421 | 282.5846 | 283.1564 | 282.6303 | 283.2780 | 282.1078 | 281.6762 | 282.5709 | 282.6812 | 282.0753 | 281.1062 | 282.2328 | 282.7740 | 283.9358 | 283.4790 | 280.8683 | 282.2235 | 283.6375 | 285.3923 | 284.4172 | 282.1563 | 284.1669 | 281.8441 | 280.8344 | 283.4089 | 282.5829 | 283.4484 | 281.3146 | 281.8775 | 277.5995 | 281.7073 | 283.7341 | 285.5308 | 285.9907 | 283.3119 | 282.5252 | 281.5518 | 283.3049 | 285.2463 | 285.4351 | 286.5956 | 286.5286 | 286.4062 | 284.6565 | 283.8728 | 285.2469 | 283.6233 | 282.1565 | 285.7733 | 284.8570 | 284.8031 | 286.9384 | 287.8962 | 286.5284 | 287.2418 | 282.2229 | 282.8922 | 282.0019 | 283.1409 | 282.8868 | 284.9086 | 285.6604 | 285.9895 | 285.6615 | 285.5753 | 285.9154 | 285.1399 | 285.8276 | 284.1933 | 285.9016 | 284.1314 | 284.7623 | 285.7382 | 284.1546 | 283.5557 | 285.5172 | 283.7036 | 285.1459 | 286.1768 | 284.9010 | 282.9137 | 281.8947 | 283.7150 | 284.0803 | 284.7375 | 280.7170 | 281.3846 | 280.7257 | 284.3673 | 284.8013 | 281.3951 | 281.6947 | 282.9372 | 284.0617 | 284.6028 | 281.4261 | 282.5038 | 283.8205 | 284.2034 | 284.3923 | 284.8255 | 284.1753 | 284.6672 | 284.4828 | 284.0004 | 283.8745 | 283.3955 | 283.4149 | 281.0258 | 283.6001 | 280.9391 | 278.6873 | 277.0105 | 280.9488 | 280.8092 | 279.8269 | 278.9446 | 276.4417 | 278.8386 | 281.5556 | 277.3893 | 280.4632 | 279.8653 | 278.2163 | 281.0094 | 282.8085 | 282.9514 | 282.5449 | 283.2909 | 281.7118 | 280.2892 | 278.4070 | 277.9827 | 279.3681 | 279.2747 | 275.0190 | 273.6292 | 275.2092 | 277.6298 | 279.3599 | 278.6577 | 279.7458 | 280.2259 | 278.4235 | 277.6227 | 276.9108 | 274.0919 | 270.5542 | 273.5962 | 275.2677 | 271.5544 | 274.9651 | 267.8494 | 273.1880 | 276.3691 | 274.6473 | 276.7286 | 274.4388 | 275.1255 | 276.1953 | 269.4484 | 269.3985 | 270.7374 | 272.5227 | 274.1882 | 272.7401 | 273.2104 | 271.9632 | 267.6009 | 265.4888 | 269.3825 | 268.8029 | 266.4993 | 268.8093 | 266.7511 | 266.3106 | 267.2420 | 265.1704 | 258.9307 | 261.7302 | 268.8814 | 261.8771 | 262.4138 | 268.5638 | 264.1382 | 267.3463 | 266.8877 | 270.3394 | 271.0822 | 263.0533 | 258.0964 | 261.0645 | 263.7055 | 264.4840 | 262.9175 | 259.8052 | 261.4633 | 260.0804 | 264.1530 | 263.5705 | 259.6815 | 266.7041 | 264.4844 | 265.8535 | 266.3549 | 266.2224 | 265.6481 | 262.6974 | 263.9565 | 264.7473 | 263.8541 | 264.6375 | 263.1821 | 256.5073 | 258.7950 | 260.5478 | 261.0977 | 262.3229 | 258.9984 | 263.7866 | 100.25 | 31.75 |
| 262.9928 | 267.4206 | 269.4917 | 271.9409 | 268.7796 | 262.0221 | 262.4335 | 261.7685 | 261.1453 | 265.4753 | 266.1803 | 267.2005 | 264.3653 | 262.9187 | 264.0280 | 262.6223 | 258.2425 | 263.9847 | 263.7778 | 261.8290 | 262.2590 | 266.7634 | 265.2106 | 265.0683 | 263.4336 | 262.0233 | 261.8232 | 263.8323 | 267.6742 | 267.4997 | 265.5910 | 268.6338 | 265.5672 | 263.0840 | 262.9601 | 266.8650 | 267.2176 | 262.3495 | 258.5676 | 258.3025 | 264.5351 | 267.5235 | 265.1876 | 260.5315 | 259.3399 | 260.5179 | 264.9097 | 266.7174 | 267.5513 | 268.3055 | 265.8032 | 268.3672 | 266.3042 | 263.2033 | 268.6677 | 269.1852 | 269.5034 | 268.0880 | 263.8970 | 264.1695 | 263.9926 | 263.8517 | 260.8413 | 267.0587 | 268.6217 | 268.4138 | 268.3737 | 268.0892 | 268.1188 | 267.4533 | 267.0485 | 267.2224 | 266.5020 | 267.7534 | 260.8203 | 267.9093 | 270.2993 | 273.8984 | 274.5741 | 273.2926 | 269.7041 | 270.0319 | 269.5096 | 268.9487 | 270.0671 | 267.9558 | 268.3588 | 269.4028 | 264.1874 | 264.6549 | 263.9773 | 268.1813 | 265.2879 | 267.8538 | 271.6684 | 272.2940 | 275.0271 | 275.0611 | 275.7458 | 273.6120 | 273.4201 | 269.5554 | 269.4034 | 274.7367 | 273.7003 | 275.3952 | 275.3438 | 276.7604 | 275.0229 | 274.8253 | 276.8250 | 277.6212 | 274.8811 | 275.5030 | 277.0240 | 274.8778 | 275.0060 | 270.0571 | 276.6890 | 270.7020 | 274.4523 | 280.2383 | 281.6297 | 280.0695 | 274.6959 | 273.4844 | 276.2714 | 273.5434 | 271.5608 | 270.8056 | 279.0350 | 275.4218 | 277.0674 | 279.5108 | 276.8652 | 274.4832 | 277.0215 | 272.4995 | 281.0143 | 278.0600 | 278.5722 | 273.4808 | 277.6584 | 277.1688 | 277.6949 | 279.1673 | 277.0197 | 281.8240 | 282.1772 | 281.2442 | 282.1639 | 280.6141 | 281.3378 | 281.2034 | 281.2685 | 280.6022 | 279.7083 | 280.6809 | 281.7855 | 282.3070 | 282.5793 | 279.7761 | 281.2063 | 281.7794 | 283.0487 | 280.8489 | 280.7682 | 282.3463 | 280.8867 | 279.8647 | 282.7958 | 281.7615 | 281.5872 | 280.7826 | 280.3392 | 276.2275 | 280.9093 | 282.5746 | 284.4953 | 284.8361 | 281.5699 | 280.8361 | 280.0831 | 282.2819 | 283.8974 | 284.0782 | 285.4255 | 285.5313 | 284.5379 | 282.9504 | 281.8057 | 283.6074 | 281.3537 | 281.2968 | 284.7607 | 283.9088 | 283.7620 | 285.8242 | 287.2112 | 285.3954 | 286.7483 | 280.3378 | 281.3811 | 280.0951 | 281.2409 | 281.4341 | 283.7365 | 284.3145 | 284.8069 | 284.7452 | 284.6476 | 284.9235 | 284.0352 | 284.4270 | 283.2282 | 284.7909 | 283.4384 | 283.4373 | 284.4485 | 282.4626 | 282.9369 | 284.1053 | 282.1275 | 283.8508 | 284.8948 | 284.0148 | 281.1126 | 281.0400 | 280.9795 | 281.8631 | 283.6168 | 279.1542 | 280.0284 | 280.7179 | 282.8987 | 283.9088 | 279.2656 | 280.4153 | 281.8711 | 282.5259 | 283.3221 | 278.5999 | 279.9689 | 282.6692 | 282.9296 | 282.5471 | 283.4086 | 282.5587 | 283.3344 | 282.9164 | 282.4094 | 282.5065 | 281.9034 | 282.0432 | 279.8484 | 282.0944 | 279.0299 | 277.3334 | 274.9805 | 279.4524 | 278.5458 | 278.5812 | 276.8483 | 274.5759 | 278.4898 | 279.8936 | 276.3214 | 278.9648 | 277.8522 | 276.1954 | 278.9094 | 280.8116 | 280.9471 | 280.9021 | 280.6924 | 279.0200 | 278.7176 | 277.8768 | 276.8730 | 278.0965 | 278.0191 | 273.4263 | 272.8318 | 273.4787 | 276.3099 | 276.7608 | 277.1185 | 277.5240 | 279.0982 | 276.7339 | 276.8697 | 273.8551 | 271.6395 | 268.3512 | 270.2521 | 272.4095 | 268.9990 | 271.6476 | 264.7199 | 270.9460 | 272.8796 | 272.4529 | 274.4241 | 272.6232 | 273.7337 | 273.2303 | 265.5889 | 265.8480 | 267.0914 | 269.0404 | 270.7186 | 269.0961 | 271.0392 | 269.9482 | 264.9852 | 264.7135 | 267.6985 | 267.2882 | 264.3613 | 266.7656 | 264.7474 | 263.8959 | 265.3161 | 262.7998 | 258.2941 | 260.7124 | 267.0457 | 260.8910 | 263.1826 | 267.1685 | 262.3133 | 266.1934 | 265.6365 | 267.4380 | 268.8131 | 259.9608 | 256.2855 | 259.2083 | 261.3141 | 260.2494 | 259.7604 | 257.3629 | 259.3070 | 258.9542 | 259.4232 | 260.7667 | 258.2251 | 265.2491 | 263.0794 | 264.4230 | 264.3431 | 264.3138 | 264.2953 | 261.1586 | 262.1969 | 263.3179 | 262.4950 | 262.4667 | 261.2814 | 253.1394 | 253.5382 | 257.5192 | 259.7186 | 260.2731 | 257.6031 | 261.9453 | 100.25 | 32.25 |
| 261.7342 | 266.3672 | 267.8808 | 269.6528 | 268.3008 | 260.9965 | 261.6863 | 261.0348 | 260.8817 | 265.3796 | 266.9910 | 266.9781 | 264.7467 | 261.8658 | 264.2932 | 261.6373 | 257.0401 | 262.8116 | 262.8426 | 260.6477 | 260.3942 | 265.6740 | 263.9283 | 264.6554 | 261.8176 | 261.2090 | 260.8168 | 263.0129 | 266.1316 | 265.6691 | 264.0536 | 267.9680 | 265.0004 | 262.8352 | 261.9478 | 264.3640 | 263.8873 | 260.3967 | 257.3049 | 257.2562 | 263.1418 | 265.7269 | 263.6830 | 258.2837 | 257.4188 | 258.8904 | 261.5269 | 263.8649 | 267.2678 | 266.2678 | 265.2016 | 267.2057 | 265.5803 | 262.7177 | 267.4280 | 267.7630 | 267.2356 | 266.6604 | 262.7706 | 263.0169 | 263.6823 | 264.2896 | 261.6208 | 266.7243 | 267.7906 | 267.8475 | 267.9338 | 267.2038 | 267.8250 | 267.0713 | 267.0824 | 267.7298 | 267.7316 | 268.0058 | 261.2608 | 267.8855 | 270.0832 | 273.4156 | 274.7177 | 272.8379 | 269.3966 | 269.6137 | 269.7494 | 268.8997 | 269.0849 | 266.5221 | 268.4026 | 268.4140 | 263.6138 | 264.3132 | 263.6155 | 267.8055 | 264.1309 | 267.7865 | 270.9828 | 271.7564 | 274.6606 | 274.7258 | 275.8524 | 274.4423 | 272.7949 | 267.4793 | 268.4063 | 274.2440 | 273.2374 | 275.5208 | 274.9445 | 277.4017 | 274.4042 | 274.8331 | 276.8434 | 277.4636 | 274.5726 | 275.6041 | 276.6447 | 274.6125 | 274.6474 | 269.4830 | 275.3537 | 269.5447 | 274.5005 | 278.8602 | 281.0106 | 277.8042 | 273.7537 | 273.2753 | 275.1321 | 270.1106 | 270.0924 | 271.3964 | 278.7798 | 275.0251 | 276.2885 | 277.8959 | 276.3586 | 273.6167 | 276.7513 | 271.9832 | 280.3022 | 278.1645 | 277.5129 | 272.7174 | 277.2585 | 276.3019 | 276.8521 | 279.0047 | 276.4216 | 281.5175 | 282.0637 | 281.7314 | 281.8115 | 279.8228 | 281.0988 | 280.4850 | 280.7332 | 280.0150 | 278.7901 | 279.7188 | 281.4033 | 281.7695 | 282.3477 | 279.5218 | 280.8643 | 281.1158 | 281.8337 | 279.4362 | 279.9691 | 281.2114 | 281.1889 | 279.8822 | 282.4811 | 281.7831 | 280.7707 | 280.4197 | 279.2455 | 276.6047 | 281.2966 | 282.6114 | 284.5225 | 284.3246 | 280.0330 | 280.0224 | 280.0955 | 281.9859 | 283.4252 | 283.5843 | 284.8821 | 285.1101 | 283.6782 | 282.1360 | 280.9992 | 283.0665 | 280.4069 | 281.1352 | 284.5293 | 283.5548 | 283.6425 | 285.5681 | 286.9228 | 286.0455 | 286.4725 | 279.0583 | 280.7933 | 279.6676 | 280.3926 | 281.0483 | 283.5423 | 284.2489 | 284.6950 | 285.0092 | 284.6663 | 285.3274 | 284.2582 | 284.3520 | 283.6191 | 284.1605 | 283.4066 | 283.1765 | 283.9625 | 281.7942 | 283.1273 | 283.6208 | 281.4020 | 283.7963 | 284.8049 | 283.7323 | 280.3990 | 280.5215 | 279.9597 | 281.0893 | 283.5566 | 278.0009 | 280.1281 | 281.5398 | 282.5135 | 283.3937 | 278.1593 | 280.6982 | 281.9128 | 282.1530 | 282.6335 | 277.6296 | 279.8054 | 282.5588 | 282.8542 | 283.3279 | 283.5254 | 283.4877 | 282.9890 | 282.6918 | 282.1609 | 281.8478 | 281.5993 | 281.7232 | 279.6868 | 281.2773 | 277.7908 | 276.5919 | 274.5914 | 278.9646 | 277.5705 | 277.9576 | 275.8382 | 274.2085 | 278.4515 | 279.0172 | 275.9852 | 278.7303 | 276.7832 | 275.7463 | 277.8851 | 280.2450 | 280.1371 | 280.4950 | 282.4088 | 277.0670 | 278.1721 | 279.6773 | 276.5027 | 279.0593 | 277.1425 | 272.0519 | 274.0103 | 273.6478 | 276.6302 | 276.6771 | 276.8606 | 277.6258 | 277.1177 | 275.7350 | 276.1892 | 270.6741 | 269.9398 | 267.3947 | 267.7063 | 271.7217 | 268.6146 | 270.0096 | 266.9521 | 270.6941 | 270.8237 | 271.2169 | 273.1562 | 271.1854 | 272.9702 | 270.0361 | 264.6274 | 265.2828 | 266.1441 | 268.3783 | 270.2583 | 268.8476 | 271.0615 | 269.0423 | 263.3723 | 265.5699 | 267.5234 | 267.9854 | 264.3470 | 266.3499 | 263.2614 | 263.0076 | 264.1728 | 260.8409 | 254.4400 | 260.7737 | 266.2864 | 259.7950 | 263.9072 | 266.2339 | 262.2650 | 266.0891 | 265.7866 | 266.6505 | 267.9405 | 259.1893 | 257.1887 | 257.4500 | 261.1005 | 259.7104 | 259.9945 | 257.5586 | 259.8036 | 259.1948 | 257.9110 | 259.9591 | 258.8831 | 265.5120 | 263.1965 | 264.5391 | 265.4789 | 264.7097 | 264.4941 | 260.8383 | 261.8916 | 262.3128 | 262.0528 | 262.5956 | 260.4461 | 252.3810 | 255.9203 | 257.7338 | 259.8859 | 259.9253 | 257.4766 | 261.1671 | 100.25 | 32.75 |
| 261.2744 | 265.9842 | 268.0107 | 268.0130 | 269.2026 | 260.4901 | 262.0788 | 261.2701 | 261.1035 | 265.9181 | 268.1204 | 267.4201 | 265.2604 | 261.8125 | 264.7610 | 261.1676 | 258.5967 | 262.1375 | 262.1778 | 260.7935 | 259.9350 | 264.9735 | 262.4729 | 264.3627 | 260.9109 | 261.5591 | 261.7212 | 262.7279 | 266.0033 | 265.8516 | 263.4002 | 267.6902 | 265.4725 | 264.3128 | 262.0059 | 263.3916 | 261.7705 | 257.6357 | 254.5809 | 254.9777 | 262.4961 | 265.0914 | 261.6974 | 254.5762 | 255.2821 | 258.2954 | 259.3938 | 263.7645 | 267.0892 | 264.7405 | 264.2113 | 266.9522 | 265.6978 | 262.0754 | 265.9972 | 267.2403 | 266.7400 | 265.7165 | 262.0528 | 262.3680 | 262.9099 | 264.2316 | 260.8774 | 266.1188 | 267.1084 | 268.2794 | 268.5564 | 266.7886 | 267.9275 | 268.0574 | 267.0444 | 267.5592 | 268.0992 | 267.8075 | 260.6238 | 268.2892 | 269.8582 | 274.4047 | 274.7963 | 273.6445 | 268.8267 | 269.1779 | 269.8456 | 268.1714 | 267.4808 | 266.4589 | 268.3823 | 267.8340 | 263.1828 | 264.3686 | 264.0545 | 268.5338 | 262.9374 | 267.7761 | 271.0810 | 271.1034 | 275.5887 | 275.4367 | 276.5536 | 275.3380 | 273.6476 | 269.5097 | 270.4503 | 275.5154 | 274.5981 | 276.5937 | 275.4403 | 277.4422 | 274.4598 | 274.9537 | 278.0948 | 276.9301 | 274.1018 | 275.6820 | 276.4346 | 274.0815 | 275.4215 | 268.6713 | 275.3725 | 269.2442 | 273.6834 | 279.1810 | 280.7934 | 277.2775 | 274.4118 | 273.8059 | 274.4102 | 269.6664 | 269.4542 | 274.0466 | 278.4793 | 276.3244 | 276.7070 | 277.2668 | 276.3755 | 272.6761 | 277.3354 | 273.0550 | 280.1445 | 278.9617 | 276.6734 | 273.7022 | 277.6549 | 276.4816 | 276.3788 | 279.1698 | 276.5172 | 280.3711 | 283.2494 | 282.2988 | 282.3495 | 279.5508 | 279.9900 | 280.7704 | 280.6173 | 279.1049 | 278.6306 | 279.0598 | 281.6609 | 282.1671 | 282.7723 | 280.1168 | 281.0116 | 281.0226 | 280.6850 | 278.6896 | 279.7428 | 280.3661 | 281.7582 | 280.3609 | 282.0893 | 280.7702 | 281.2364 | 280.7677 | 278.9876 | 276.9140 | 281.9870 | 283.1701 | 284.5525 | 283.6500 | 279.2276 | 280.0002 | 280.3015 | 281.9368 | 283.4552 | 283.9115 | 284.6959 | 284.6846 | 282.6608 | 281.6221 | 280.2874 | 282.9354 | 280.1424 | 281.7028 | 284.4179 | 283.4960 | 284.1007 | 285.2935 | 286.9730 | 286.3442 | 286.4529 | 278.4099 | 280.9749 | 280.0721 | 279.8629 | 281.0815 | 283.0555 | 284.3431 | 285.1219 | 285.4166 | 285.0063 | 285.8947 | 284.8136 | 285.0055 | 283.8805 | 284.2278 | 283.4284 | 283.5151 | 284.2466 | 281.1973 | 283.6652 | 283.6991 | 281.2114 | 284.0603 | 285.2861 | 284.0906 | 280.4138 | 281.0174 | 278.8081 | 280.6594 | 283.6967 | 277.7226 | 280.4265 | 282.4113 | 282.6621 | 283.1898 | 278.0294 | 281.6615 | 282.9044 | 282.5051 | 282.6702 | 278.3897 | 280.1242 | 283.1336 | 283.3032 | 283.7047 | 283.7800 | 284.0072 | 283.8405 | 282.8937 | 282.1105 | 280.5133 | 281.6387 | 281.6424 | 279.6862 | 279.4058 | 277.3024 | 276.3813 | 275.2823 | 278.7948 | 276.3947 | 277.9687 | 275.9104 | 275.7504 | 278.9589 | 278.1579 | 275.7607 | 279.1447 | 276.3567 | 276.7331 | 277.6909 | 280.3488 | 279.8065 | 280.7042 | 281.9109 | 275.7640 | 277.4419 | 279.4117 | 276.0683 | 278.8936 | 275.9911 | 272.0202 | 274.1942 | 274.5970 | 276.3705 | 277.6418 | 277.1466 | 278.8310 | 275.7595 | 275.2365 | 275.9762 | 269.6147 | 267.5072 | 269.5742 | 268.3306 | 270.9155 | 269.4385 | 268.9730 | 267.2875 | 272.8737 | 270.7647 | 270.7705 | 272.3542 | 270.1299 | 272.6315 | 268.7881 | 263.4085 | 264.2611 | 267.3140 | 268.8520 | 270.2495 | 270.2466 | 271.5993 | 268.9456 | 263.2173 | 265.6305 | 267.7479 | 267.6964 | 264.9446 | 265.7427 | 262.8545 | 263.9128 | 263.6906 | 260.9693 | 253.8546 | 262.1805 | 265.4795 | 260.7526 | 264.2310 | 265.2309 | 262.7071 | 266.0168 | 267.1259 | 267.8597 | 268.2489 | 260.1655 | 257.9679 | 256.9328 | 262.2289 | 262.2578 | 261.2704 | 259.1872 | 260.5844 | 259.7842 | 259.0729 | 259.5758 | 260.0261 | 264.4816 | 264.2790 | 266.0874 | 266.8443 | 266.5017 | 265.2164 | 260.7143 | 263.0816 | 263.9734 | 261.3011 | 263.4911 | 261.3477 | 253.8710 | 256.6310 | 258.2477 | 260.8017 | 259.7603 | 257.6497 | 261.9049 | 100.25 | 33.25 |
| 262.1405 | 266.6778 | 267.3941 | 266.6229 | 268.2529 | 260.6838 | 262.6989 | 263.0606 | 262.9978 | 267.5437 | 269.6270 | 268.5619 | 265.9220 | 264.0954 | 265.8450 | 261.9922 | 261.5026 | 262.8605 | 262.1714 | 261.8204 | 260.8937 | 264.5786 | 262.3912 | 264.7186 | 260.1973 | 262.3906 | 262.4234 | 264.7317 | 266.0268 | 266.1356 | 263.3347 | 268.7946 | 267.8344 | 266.0750 | 263.0908 | 264.5694 | 262.5509 | 259.2242 | 257.2809 | 261.1617 | 265.4358 | 267.5308 | 263.9229 | 258.6033 | 260.6574 | 261.3829 | 260.4753 | 265.8030 | 270.3102 | 266.6236 | 267.5816 | 269.7276 | 268.0354 | 264.2250 | 268.4216 | 268.5238 | 267.6942 | 267.5465 | 264.7559 | 264.7328 | 265.0629 | 267.5389 | 267.0553 | 269.2660 | 270.5858 | 271.9871 | 272.1700 | 270.4880 | 271.0538 | 270.4762 | 268.8735 | 270.6464 | 270.9094 | 269.0651 | 265.2785 | 270.2672 | 272.2760 | 276.0246 | 277.5956 | 274.9750 | 270.4274 | 270.4249 | 271.7651 | 270.2588 | 268.3507 | 267.5084 | 270.5916 | 268.8945 | 264.9003 | 266.6206 | 266.5042 | 271.2184 | 266.9894 | 270.3675 | 273.0267 | 274.2318 | 277.8011 | 277.2665 | 278.1159 | 278.2394 | 275.6125 | 271.5159 | 274.0032 | 277.1631 | 277.1648 | 279.3777 | 277.0641 | 279.1829 | 276.0336 | 276.2339 | 280.1973 | 278.5668 | 275.6112 | 277.8696 | 278.5692 | 275.8142 | 277.1724 | 273.0044 | 276.1926 | 272.7905 | 276.5169 | 281.5404 | 281.9142 | 277.6244 | 276.4426 | 276.6457 | 275.1215 | 270.2491 | 273.7950 | 277.3775 | 280.2409 | 278.4277 | 278.3099 | 278.2466 | 277.8895 | 276.1556 | 280.1752 | 277.1971 | 282.2328 | 281.0955 | 277.5978 | 276.5657 | 280.1299 | 278.0527 | 277.9200 | 280.6162 | 278.0669 | 281.4632 | 283.8607 | 283.6899 | 284.1405 | 280.3578 | 281.6938 | 282.7834 | 282.6433 | 281.4766 | 280.2011 | 280.7854 | 283.2245 | 283.8192 | 284.7222 | 282.5165 | 282.8006 | 282.3634 | 281.8599 | 280.7761 | 281.2719 | 281.9649 | 284.3969 | 282.5932 | 282.6356 | 282.4100 | 283.1908 | 282.4092 | 280.1303 | 279.1805 | 284.1386 | 285.4043 | 286.5358 | 284.1241 | 279.9096 | 281.6993 | 282.6925 | 283.6020 | 285.3586 | 285.5229 | 286.4111 | 285.4957 | 284.3999 | 283.7050 | 281.5406 | 284.7022 | 281.5791 | 283.9877 | 285.4868 | 285.1868 | 286.0131 | 286.8974 | 289.0951 | 288.7894 | 287.9568 | 279.0437 | 282.4011 | 281.8140 | 281.2391 | 282.7600 | 284.8742 | 286.0274 | 287.2119 | 287.3717 | 287.2384 | 287.9693 | 287.2710 | 287.4776 | 286.5797 | 285.6045 | 285.3938 | 285.7363 | 286.1082 | 283.1856 | 285.8242 | 285.4089 | 283.1194 | 286.3123 | 287.0680 | 285.6194 | 281.9065 | 282.7766 | 280.0746 | 282.0965 | 285.1366 | 279.2688 | 282.8703 | 284.6397 | 284.5166 | 284.3769 | 279.8096 | 283.9893 | 284.8787 | 284.7805 | 284.1514 | 280.5568 | 282.2497 | 285.0035 | 284.2754 | 285.6685 | 285.3630 | 286.0395 | 285.3765 | 284.8982 | 283.2543 | 281.2629 | 283.4081 | 283.2332 | 281.3346 | 279.9117 | 278.4097 | 277.6964 | 277.2977 | 280.2120 | 278.1479 | 279.3001 | 277.7684 | 278.4761 | 280.2477 | 278.6202 | 276.4497 | 280.9688 | 277.4875 | 278.7534 | 279.2791 | 281.9244 | 280.8854 | 281.4735 | 283.6236 | 276.9289 | 278.5567 | 280.0363 | 277.1909 | 280.6981 | 276.5312 | 272.7915 | 275.3815 | 277.5126 | 279.7737 | 279.4091 | 278.8890 | 281.3320 | 276.8194 | 277.1998 | 277.2040 | 270.8510 | 268.9798 | 273.6392 | 271.6195 | 273.2387 | 274.6509 | 271.4578 | 273.4922 | 276.3864 | 272.0287 | 272.1398 | 273.8447 | 271.3286 | 274.1812 | 268.6809 | 267.6906 | 268.3636 | 271.1946 | 272.3947 | 272.5879 | 273.4826 | 272.4874 | 270.5065 | 264.7031 | 269.0805 | 269.7657 | 269.1389 | 267.9235 | 267.5031 | 263.6403 | 267.4152 | 264.3902 | 260.6462 | 259.1724 | 265.3521 | 266.9092 | 262.9121 | 266.0888 | 266.3131 | 264.9476 | 267.2930 | 269.0865 | 269.4391 | 269.4311 | 262.2816 | 260.8224 | 258.7816 | 263.5599 | 264.4870 | 262.9079 | 262.0486 | 263.2309 | 262.2862 | 262.6743 | 262.4923 | 262.7046 | 265.1732 | 266.5825 | 268.5980 | 269.3520 | 269.4134 | 267.2390 | 262.7601 | 264.8021 | 265.7267 | 262.3883 | 265.2544 | 262.0771 | 256.8549 | 260.6797 | 261.6473 | 262.6422 | 261.2080 | 260.3821 | 263.3389 | 100.25 | 33.75 |
| 262.0260 | 265.5547 | 265.2743 | 266.6093 | 264.2876 | 259.2369 | 262.0987 | 262.7421 | 262.5718 | 266.5374 | 269.3411 | 268.4617 | 264.0558 | 265.0795 | 264.7350 | 262.0661 | 261.2723 | 263.6673 | 261.6305 | 261.4720 | 261.2373 | 262.8194 | 262.1864 | 264.0252 | 258.4712 | 261.7399 | 260.9873 | 265.5800 | 265.3484 | 266.4510 | 262.9701 | 268.3111 | 267.5776 | 264.2881 | 263.7564 | 263.4982 | 262.6044 | 259.0350 | 257.0029 | 261.3268 | 267.3587 | 268.3932 | 265.4648 | 259.7657 | 261.2646 | 263.3777 | 259.7622 | 266.4184 | 271.5514 | 267.5128 | 268.6911 | 271.0695 | 267.4211 | 264.0324 | 268.1669 | 268.2071 | 267.0854 | 267.6438 | 266.8851 | 266.3666 | 265.8775 | 268.7928 | 267.7787 | 269.6136 | 271.6286 | 272.7962 | 272.3205 | 270.5944 | 272.3108 | 271.0381 | 268.3384 | 270.4564 | 271.4586 | 267.8381 | 263.6994 | 269.4061 | 270.9144 | 276.3669 | 277.1204 | 275.2075 | 268.9603 | 268.4055 | 271.5184 | 269.7502 | 266.9666 | 266.2745 | 269.8185 | 268.5133 | 264.5100 | 266.8280 | 266.0117 | 271.2756 | 266.6790 | 268.2554 | 272.8136 | 274.5081 | 277.5965 | 277.0763 | 278.2980 | 279.0143 | 276.7713 | 272.7551 | 274.7029 | 278.0568 | 278.7290 | 280.1875 | 278.1076 | 279.9107 | 277.3102 | 276.5955 | 280.5743 | 278.8578 | 275.8646 | 278.1824 | 279.2008 | 276.3953 | 277.3289 | 274.0225 | 275.9906 | 274.2639 | 278.7690 | 282.7317 | 282.5027 | 277.5622 | 276.8252 | 277.0504 | 274.4415 | 270.1337 | 273.5894 | 276.2447 | 280.8332 | 278.7985 | 278.9141 | 277.6115 | 277.8766 | 277.1498 | 281.1075 | 277.2082 | 282.9407 | 281.3167 | 277.4300 | 276.6885 | 280.6663 | 277.9421 | 277.9202 | 280.8072 | 277.8275 | 281.6248 | 283.0793 | 283.8774 | 283.9255 | 280.6460 | 281.4807 | 283.4696 | 282.7281 | 281.6302 | 280.3124 | 280.7762 | 283.2235 | 283.6110 | 285.1453 | 283.1293 | 283.3627 | 281.6007 | 282.0029 | 281.6886 | 280.4133 | 281.8631 | 284.7607 | 282.8356 | 281.6342 | 282.3980 | 284.0951 | 282.3283 | 279.4803 | 279.2447 | 284.2102 | 285.7677 | 286.4229 | 282.8883 | 279.1902 | 281.1975 | 283.0718 | 283.6752 | 286.0071 | 285.7162 | 286.1228 | 284.6092 | 284.7118 | 285.0219 | 281.6362 | 284.6649 | 281.7738 | 284.3177 | 284.9511 | 284.8658 | 286.6244 | 287.1086 | 289.0345 | 288.8697 | 287.6806 | 279.1844 | 281.6359 | 281.7934 | 280.7308 | 282.5212 | 284.8636 | 286.0665 | 287.1961 | 287.1766 | 287.6015 | 288.0120 | 287.5974 | 287.9720 | 286.5023 | 285.1793 | 285.0024 | 285.8527 | 286.1782 | 283.5849 | 285.5706 | 285.7163 | 282.9272 | 286.4641 | 286.6894 | 285.8081 | 281.7417 | 282.5013 | 279.7563 | 282.0059 | 283.5671 | 278.8163 | 283.2398 | 284.2002 | 284.6271 | 283.6599 | 280.1125 | 284.7263 | 284.3118 | 285.0962 | 284.2204 | 281.1784 | 282.0673 | 285.2793 | 283.0426 | 285.5441 | 285.7837 | 286.0582 | 285.2915 | 286.0749 | 282.0079 | 279.4474 | 283.1839 | 282.9828 | 281.2975 | 279.0475 | 279.1683 | 278.0399 | 277.1943 | 280.2515 | 278.5950 | 279.3100 | 278.6426 | 279.0555 | 279.5851 | 277.6829 | 274.7908 | 280.6399 | 278.0970 | 278.1884 | 279.4032 | 281.5377 | 280.0884 | 279.1751 | 284.1296 | 277.6202 | 277.6270 | 279.0165 | 276.2076 | 280.8835 | 274.8058 | 270.0316 | 274.0195 | 277.7414 | 280.2763 | 279.6821 | 280.1407 | 281.5018 | 277.4743 | 277.5698 | 275.8542 | 269.2154 | 268.5491 | 273.1197 | 271.4331 | 274.2347 | 275.1335 | 270.9249 | 272.5023 | 277.0468 | 270.2858 | 271.8014 | 274.4689 | 270.5179 | 274.1098 | 268.1571 | 267.9900 | 270.0735 | 272.9506 | 273.4529 | 270.9026 | 273.3336 | 270.7740 | 269.6507 | 262.9068 | 268.1239 | 269.0269 | 267.5474 | 267.1891 | 266.1270 | 263.6849 | 266.9440 | 263.2777 | 261.7605 | 259.1487 | 264.1769 | 265.2685 | 262.7988 | 263.9563 | 265.2285 | 264.7925 | 265.4245 | 267.1153 | 268.0273 | 267.6901 | 261.4305 | 259.3738 | 258.8353 | 262.3537 | 262.6704 | 261.4836 | 261.2730 | 263.8772 | 261.4692 | 262.7956 | 261.9028 | 261.8242 | 264.0262 | 264.9072 | 267.7393 | 268.1248 | 267.8411 | 266.1346 | 262.3880 | 263.3414 | 263.6071 | 260.7984 | 263.6219 | 259.3018 | 257.0970 | 260.6215 | 261.3359 | 260.4086 | 260.8099 | 260.2478 | 262.1308 | 100.25 | 34.25 |
| 261.1506 | 263.1756 | 262.1219 | 263.0392 | 259.5221 | 256.5538 | 260.3689 | 261.3780 | 260.8777 | 263.7459 | 267.3865 | 265.2687 | 260.9711 | 263.1543 | 262.1410 | 259.1797 | 259.5071 | 261.8564 | 258.6625 | 259.4339 | 259.6711 | 259.8042 | 259.4436 | 260.7458 | 255.4311 | 259.5563 | 259.0529 | 265.1300 | 263.7081 | 265.2495 | 261.5467 | 265.5359 | 265.3998 | 262.1820 | 262.5468 | 261.1750 | 261.0390 | 257.9124 | 253.3895 | 260.8426 | 266.5129 | 268.5022 | 264.0844 | 259.2447 | 262.5979 | 263.5113 | 260.2895 | 264.4334 | 271.2673 | 266.7492 | 269.0501 | 270.1344 | 264.9280 | 264.0224 | 268.1202 | 267.1214 | 265.8277 | 267.1480 | 266.6118 | 265.4188 | 264.1760 | 266.8669 | 267.6886 | 269.2492 | 271.3148 | 272.3049 | 270.7684 | 269.4452 | 271.6201 | 267.8237 | 265.5508 | 269.1125 | 268.7590 | 264.8698 | 262.3401 | 266.5264 | 269.3657 | 276.0172 | 276.3129 | 271.8358 | 268.4996 | 267.0709 | 269.3571 | 267.9505 | 264.2027 | 263.4408 | 268.1382 | 266.0860 | 261.9734 | 264.7319 | 264.6703 | 267.3697 | 266.4067 | 267.5512 | 272.5615 | 275.1206 | 276.5280 | 276.0924 | 275.8131 | 275.8905 | 275.1344 | 270.5894 | 273.1927 | 275.6320 | 276.6698 | 278.1731 | 276.4624 | 277.9243 | 274.7945 | 273.7486 | 278.2743 | 276.7197 | 273.6042 | 276.1931 | 277.5369 | 274.6096 | 275.5367 | 273.6717 | 273.8525 | 274.7937 | 278.3039 | 281.4546 | 280.1118 | 275.1029 | 275.8233 | 275.5998 | 271.0729 | 268.6635 | 273.4362 | 276.7300 | 280.5956 | 276.5886 | 276.9090 | 276.3557 | 275.4916 | 276.9985 | 280.6614 | 279.2780 | 282.4996 | 279.5751 | 275.2458 | 275.7460 | 279.4999 | 276.3830 | 276.5529 | 277.4455 | 277.1744 | 279.3409 | 277.7513 | 280.5182 | 281.7738 | 278.0227 | 280.2297 | 282.3862 | 281.8536 | 280.2129 | 279.1836 | 278.9456 | 281.7397 | 281.5352 | 283.4305 | 281.8299 | 281.9606 | 279.2606 | 280.3987 | 281.0491 | 278.2343 | 280.9113 | 283.4240 | 281.5137 | 279.6433 | 281.4117 | 283.3069 | 280.9655 | 276.8662 | 279.1143 | 282.4594 | 284.2541 | 284.3917 | 279.8999 | 276.3651 | 279.4100 | 281.7005 | 282.1334 | 284.2442 | 283.3128 | 284.0735 | 282.1694 | 283.0104 | 284.0620 | 280.7060 | 283.2409 | 280.1274 | 282.9439 | 283.2375 | 283.1953 | 285.1975 | 285.4414 | 287.9162 | 288.5263 | 285.5869 | 278.6742 | 280.3273 | 280.7051 | 279.6020 | 281.1055 | 283.3229 | 284.5376 | 285.8093 | 285.7816 | 286.3843 | 287.1657 | 286.8580 | 286.7981 | 286.7685 | 282.7248 | 283.5439 | 284.9698 | 284.3150 | 282.7899 | 284.3538 | 283.8079 | 281.5935 | 285.5088 | 284.8825 | 283.8187 | 279.7866 | 280.8593 | 278.6145 | 280.8680 | 280.7285 | 276.0320 | 281.8601 | 281.7033 | 282.3501 | 281.5728 | 279.7711 | 283.2762 | 282.2299 | 283.8452 | 282.1211 | 280.7639 | 280.3300 | 283.7423 | 280.6730 | 285.3633 | 284.5130 | 284.1630 | 281.7408 | 284.4841 | 279.7743 | 277.4767 | 281.5885 | 280.6965 | 279.7261 | 277.4079 | 278.0449 | 276.3748 | 275.9148 | 278.0070 | 277.2780 | 277.7822 | 277.4846 | 278.2916 | 277.3163 | 275.2130 | 272.3143 | 278.2716 | 276.0988 | 276.5883 | 277.3218 | 279.2949 | 277.7624 | 276.6697 | 281.8751 | 276.2634 | 276.5594 | 276.3370 | 274.7643 | 279.8012 | 273.1984 | 270.5173 | 272.4041 | 276.5075 | 279.6826 | 276.5697 | 277.4694 | 278.1000 | 275.3266 | 277.4200 | 273.1229 | 269.7720 | 270.4363 | 273.1519 | 271.8602 | 272.8651 | 274.8715 | 270.9795 | 273.5145 | 276.7642 | 269.8520 | 270.8691 | 273.2348 | 270.7828 | 272.8295 | 264.8972 | 265.7694 | 268.8470 | 272.1179 | 272.8866 | 267.8490 | 270.7208 | 267.3125 | 267.7714 | 261.1693 | 265.9375 | 267.5444 | 264.7116 | 265.7516 | 263.8203 | 261.0240 | 265.1878 | 260.2513 | 257.0798 | 255.8806 | 262.5960 | 262.7498 | 260.8119 | 261.6783 | 262.1924 | 263.0029 | 262.8180 | 264.3182 | 265.1505 | 264.4518 | 259.8631 | 258.2992 | 257.8597 | 260.6673 | 261.1062 | 260.1164 | 260.4868 | 262.7258 | 260.4911 | 262.9081 | 262.0707 | 260.0830 | 262.0662 | 262.9855 | 265.6642 | 265.8541 | 266.1021 | 263.2684 | 260.3961 | 261.3498 | 262.0513 | 258.6607 | 260.5376 | 256.3276 | 255.7150 | 260.5158 | 260.6662 | 257.9872 | 258.8308 | 258.5825 | 259.4673 | 100.25 | 34.75 |
| Note: | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| This only shows the first 10 lines of the example data. |
# example data: population of 2020 at 0.125 degree resolution
path_to_population <- helios::pkg_example('ssp1_2020_sub.nc')
population <- helios::read_population(file = path_to_population,
time_periods = 2020)| lon | lat | value | year |
|---|---|---|---|
| 100.0625 | 39.9375 | 45 | 2020 |
| 100.1875 | 39.9375 | 45 | 2020 |
| 100.3125 | 39.9375 | 45 | 2020 |
| 100.4375 | 39.9375 | 45 | 2020 |
| 100.5625 | 39.9375 | 45 | 2020 |
| 100.6875 | 39.9375 | 45 | 2020 |
| 100.8125 | 39.9375 | 45 | 2020 |
| 100.9375 | 39.9375 | 45 | 2020 |
| 101.0625 | 39.9375 | 45 | 2020 |
| 101.1875 | 39.9375 | 45 | 2020 |
| Note: | |||
| This only shows the first 10 lines of the example data. |
Calculate HDD and CDD
The following example specifies the arguments for processing CMIP6
dataset. More information for the arguments can be found in
(helios::hdcd Reference)[https://jgcri.github.io/helios/reference/hdcd.html].
-
ncdf_var = 'tas'specifies climate variable to extract from the netCDF, which is temperature in this case. -
model = 'cmip'specifies the model used to produce the climate forcing data, which is CMIP6 model in this case. -
model_timestep = 'daily'indicates the temporal resolution of the climate forcing data, which is daily in this case. -
spatial = 'gcam_regions32'specifies we are calculating the cooling and heating degree-days for 32 GCAM regions. This will produce outputs that can be used for general GCAM. For tutorial of usingheliosto calculate heating and cooling degree-hours for CONUS in GCAM-USA, please check out GCAM-USA tutorial page. -
time_periods = 2020specifies the time period (e.g., 2020) to extract from the dataset covering 2015 - 2020. Users can also specify multiple time period (e.g.time_periods = c(2017, 2018, 2019, 2020)) if those time periods are within the time span of the climate and population dataset. -
dispatch_segment = FALSEindicates the model will output annual heating and cooling degree-days for selected spatial scale. Annual HDD/CDD is the common input time step for GCAM core.
library(helios)
# example data: CMIP6 daily climate at 0.5 degree resolution
path_to_climate_ncdf <- helios::pkg_example('gfdl-esm4_r1i1p1f1_w5e5_ssp126_tas_global_daily_2015_2020_sub.nc')
# example data: population of 2020 at 0.125 degree resolution
path_to_population <- helios::pkg_example('ssp1_2020_sub.nc')
# Calculate heating and coolong degrees for GCAM regions (e.g., part of China in the example)
hdcd_china <- helios::hdcd(ncdf = path_to_climate_ncdf,
ncdf_var = 'tas',
model = 'cmip',
model_timestep = 'daily',
population = path_to_population,
spatial = 'gcam_regions32',
time_periods = 2020,
dispatch_segment = FALSE,
reference_temp_F = 65,
folder = file.path(getwd(), 'output'),
diagnostics = F,
xml = F,
name_append = '',
save = T)## [1] "Starting function process_hdcd..."
## [1] "Processing files provided: /Users/runner/work/_temp/Library/helios/extras/gfdl-esm4_r1i1p1f1_w5e5_ssp126_tas_global_daily_2015_2020_sub.nc"
## [1] "........................................."
## [1] "Running hdcd for file: /Users/runner/work/_temp/Library/helios/extras/gfdl-esm4_r1i1p1f1_w5e5_ssp126_tas_global_daily_2015_2020_sub.nc"
## [1] "Starting population weighting ..."
## [1] "Completed population weighting."
## [1] "Processing hdcd completed for file: /Users/runner/work/_temp/Library/helios/extras/gfdl-esm4_r1i1p1f1_w5e5_ssp126_tas_global_daily_2015_2020_sub.nc"
## [1] "File saved as : /Users/runner/work/helios/helios/vignettes/output/hdcd_cmip_2020_2020_gcam.csv"
## [1] "File saved as : /Users/runner/work/helios/helios/vignettes/output/hdcd_cmip_2020_2020_monthly.csv"
## [1] "File saved as : /Users/runner/work/helios/helios/vignettes/output/hdcd_cmip_2020_2020_annual.csv"
## [1] "process_hdcd completed."The output is a list containing three tables. All outputs are in degree-days.
-
hdcd_china$hdcd_comb_gcam: Heating and cooling degree-days by GCAM region and building thermal service. GCAM required format. -
hdcd_china$hdcd_comb_monthly: Heating and cooling degree-days by month for the Globe (part of China in the example). -
hdcd_china$hdcd_comb_annual: Heating and cooling degree-days by year for the Globe (part of China in the example).
1. By GCAM Building Thermal Service
# Heating and cooling degree-days by year and by building thermal service for GCAM regions
hdcd_gcam <- hdcd_china$hdcd_comb_gcam| region | subRegion | year | gcam.consumer | nodeInput | building.node.input | thermal.building.service.input | unit | value |
|---|---|---|---|---|---|---|---|---|
| China | China | 2020 | comm | comm | comm_building | comm cooling | Fahrenheit degree-days | 1260.400 |
| China | China | 2020 | comm | comm | comm_building | comm heating | Fahrenheit degree-days | -4366.006 |
| China | China | 2020 | resid | resid | resid_building | resid cooling | Fahrenheit degree-days | 1260.400 |
| China | China | 2020 | resid | resid | resid_building | resid heating | Fahrenheit degree-days | -4366.006 |
2. By Month
# Heating and cooling degree-days at monthly scale for GCAM regions
hdcd_monthly <- hdcd_china$hdcd_comb_monthly| region | subRegion | year | month | HDCD | unit | value |
|---|---|---|---|---|---|---|
| China | China | 2020 | 1 | HD | Fahrenheit degree-days | -924.169900 |
| China | China | 2020 | 2 | HD | Fahrenheit degree-days | -755.526257 |
| China | China | 2020 | 3 | CD | Fahrenheit degree-days | 1.336682 |
| China | China | 2020 | 3 | HD | Fahrenheit degree-days | -606.183647 |
| China | China | 2020 | 4 | CD | Fahrenheit degree-days | 30.045706 |
| China | China | 2020 | 4 | HD | Fahrenheit degree-days | -186.149601 |
| China | China | 2020 | 5 | CD | Fahrenheit degree-days | 124.613478 |
| China | China | 2020 | 5 | HD | Fahrenheit degree-days | -66.998748 |
| China | China | 2020 | 6 | CD | Fahrenheit degree-days | 207.748333 |
| China | China | 2020 | 6 | HD | Fahrenheit degree-days | -38.717064 |
| China | China | 2020 | 7 | CD | Fahrenheit degree-days | 401.606410 |
| China | China | 2020 | 7 | HD | Fahrenheit degree-days | -12.551112 |
| China | China | 2020 | 8 | CD | Fahrenheit degree-days | 310.909836 |
| China | China | 2020 | 8 | HD | Fahrenheit degree-days | -23.165328 |
| China | China | 2020 | 9 | CD | Fahrenheit degree-days | 156.554741 |
| China | China | 2020 | 9 | HD | Fahrenheit degree-days | -59.748262 |
| China | China | 2020 | 10 | CD | Fahrenheit degree-days | 27.585049 |
| China | China | 2020 | 10 | HD | Fahrenheit degree-days | -219.468608 |
| China | China | 2020 | 11 | HD | Fahrenheit degree-days | -628.251171 |
| China | China | 2020 | 12 | HD | Fahrenheit degree-days | -845.076493 |
3. By Year
| region | subRegion | year | HDCD | unit | value |
|---|---|---|---|---|---|
| China | China | 2020 | CD | Fahrenheit degree-days | 1260.400 |
| China | China | 2020 | HD | Fahrenheit degree-days | -4366.006 |
*WARNING: Please note that if users are following the example provided here, we use a spatial subset of CMIP6 input climate NetCDF data that covers 2015 - 2020. To get heating and cooling degrees for all 32 regions, users need to run the global climate NetCDF. This might propose computational challenge depending on the features of the computational devices used.
Various Spatial Scales
Beyond using helios for GCAM regions (e.g.,
spatial = 'gcam_region32'), we can use helios
as a general tool to calculate heating and cooling degrees at various
spatial scales by using spatial argument. More details
about available spatial scales are described in
helios::spatial_options.
-
spatial = 'gcam_region32'for global countries -
spatial = 'gcam_countries'for global countries -
spatial = 'gcam_basins'for global 235 basins -
spatial = data.frame(subRegion = c('Shanghai', 'Beijing'))will automatically find the corresponding spatial map that is at the same scale with thesubRegionnames provided. In this case,helioswill identify states/province level spatial scale. The final output will depend on input climate data’s coverage. Users need to provide this in the format of data frame or tibble.
1. Country Scale
library(helios)
# example data: CMIP6 daily climate at 0.5 degree resolution
path_to_climate_ncdf <- helios::pkg_example('gfdl-esm4_r1i1p1f1_w5e5_ssp126_tas_global_daily_2015_2020_sub.nc')
# example data: population of 2020 at 0.125 degree resolution
path_to_population <- helios::pkg_example('ssp1_2020_sub.nc')
# Calculate heating and coolong degrees for GCAM regions (e.g., part of China in the example)
hdcd <- helios::hdcd(ncdf = path_to_climate_ncdf,
ncdf_var = 'tas',
model = 'cmip',
model_timestep = 'daily',
population = path_to_population,
spatial = 'gcam_countries',
time_periods = 2020,
dispatch_segment = FALSE,
reference_temp_F = 65,
folder = file.path(getwd(), 'output'),
diagnostics = F,
xml = F,
name_append = '',
save = F)## [1] "Starting function process_hdcd..."
## [1] "Processing files provided: /Users/runner/work/_temp/Library/helios/extras/gfdl-esm4_r1i1p1f1_w5e5_ssp126_tas_global_daily_2015_2020_sub.nc"
## [1] "........................................."
## [1] "Running hdcd for file: /Users/runner/work/_temp/Library/helios/extras/gfdl-esm4_r1i1p1f1_w5e5_ssp126_tas_global_daily_2015_2020_sub.nc"
## [1] "Starting population weighting ..."
## [1] "Completed population weighting."
## [1] "Processing hdcd completed for file: /Users/runner/work/_temp/Library/helios/extras/gfdl-esm4_r1i1p1f1_w5e5_ssp126_tas_global_daily_2015_2020_sub.nc"
## [1] "process_hdcd completed."
# Heating and cooling degree-days at annual scale
hdcd$hdcd_comb_annual| region | subRegion | year | HDCD | unit | value |
|---|---|---|---|---|---|
| China | China | 2020 | CD | Fahrenheit degree-days | 1260.400 |
| China | China | 2020 | HD | Fahrenheit degree-days | -4366.006 |
2. Basin Scale
library(helios)
# example data: CMIP6 daily climate at 0.5 degree resolution
path_to_climate_ncdf <- helios::pkg_example('gfdl-esm4_r1i1p1f1_w5e5_ssp126_tas_global_daily_2015_2020_sub.nc')
# example data: population of 2020 at 0.125 degree resolution
path_to_population <- helios::pkg_example('ssp1_2020_sub.nc')
# Calculate heating and coolong degrees for GCAM regions (e.g., part of China in the example)
hdcd <- helios::hdcd(ncdf = path_to_climate_ncdf,
ncdf_var = 'tas',
model = 'cmip',
model_timestep = 'daily',
population = path_to_population,
spatial = 'gcam_basins',
time_periods = 2020,
dispatch_segment = FALSE,
reference_temp_F = 65,
folder = file.path(getwd(), 'output'),
diagnostics = F,
xml = F,
name_append = '',
save = F)## [1] "Starting function process_hdcd..."
## [1] "Processing files provided: /Users/runner/work/_temp/Library/helios/extras/gfdl-esm4_r1i1p1f1_w5e5_ssp126_tas_global_daily_2015_2020_sub.nc"
## [1] "........................................."
## [1] "Running hdcd for file: /Users/runner/work/_temp/Library/helios/extras/gfdl-esm4_r1i1p1f1_w5e5_ssp126_tas_global_daily_2015_2020_sub.nc"
## [1] "Starting population weighting ..."
## [1] "Completed population weighting."
## [1] "Processing hdcd completed for file: /Users/runner/work/_temp/Library/helios/extras/gfdl-esm4_r1i1p1f1_w5e5_ssp126_tas_global_daily_2015_2020_sub.nc"
## [1] "process_hdcd completed."
# Heating and cooling degree-days at annual scale
hdcd$hdcd_comb_annual| region | subRegion | year | HDCD | unit | value |
|---|---|---|---|---|---|
| Gobi_Interior | Gobi_Interior | 2020 | CD | Fahrenheit degree-days | 3.445710e+02 |
| Gobi_Interior | Gobi_Interior | 2020 | HD | Fahrenheit degree-days | -8.210200e+03 |
| Huang_He | Huang_He | 2020 | CD | Fahrenheit degree-days | 8.056997e+02 |
| Huang_He | Huang_He | 2020 | HD | Fahrenheit degree-days | -5.996119e+03 |
| Tarim_Interior | Tarim_Interior | 2020 | CD | Fahrenheit degree-days | 6.324040e-02 |
| Tarim_Interior | Tarim_Interior | 2020 | HD | Fahrenheit degree-days | -1.179301e+04 |
| Yangtze | Yangtze | 2020 | CD | Fahrenheit degree-days | 1.607160e+03 |
| Yangtze | Yangtze | 2020 | HD | Fahrenheit degree-days | -3.097255e+03 |
3. User Specified subRegion Scale
library(helios)
library(rmap)
# example data: CMIP6 daily climate at 0.5 degree resolution
path_to_climate_ncdf <- helios::pkg_example('gfdl-esm4_r1i1p1f1_w5e5_ssp126_tas_global_daily_2015_2020_sub.nc')
# example data: population of 2020 at 0.125 degree resolution
path_to_population <- helios::pkg_example('ssp1_2020_sub.nc')
# specify few province names to indicate calculate HDDCDD at province scale
scale_province <- data.frame(subRegion = c('Shanghai', 'Beijing'))
# Calculate heating and coolong degrees for GCAM regions (e.g., part of China in the example)
hdcd <- helios::hdcd(ncdf = path_to_climate_ncdf,
ncdf_var = 'tas',
model = 'cmip',
model_timestep = 'daily',
population = path_to_population,
spatial = scale_province,
time_periods = 2020,
dispatch_segment = FALSE,
reference_temp_F = 65,
folder = file.path(getwd(), 'output'),
diagnostics = F,
xml = F,
name_append = '',
save = F)## [1] "Starting function process_hdcd..."
## [1] "Processing files provided: /Users/runner/work/_temp/Library/helios/extras/gfdl-esm4_r1i1p1f1_w5e5_ssp126_tas_global_daily_2015_2020_sub.nc"
## [1] "........................................."
## [1] "Running hdcd for file: /Users/runner/work/_temp/Library/helios/extras/gfdl-esm4_r1i1p1f1_w5e5_ssp126_tas_global_daily_2015_2020_sub.nc"
## map subRegNum rank
## 1 mapStates 2 9
## 2 mapStatesAlt 2 10
## map subRegNum rank
## 1 mapStates 2 9
## 2 mapStatesAlt 2 10
## [1] "Starting population weighting ..."
## [1] "Completed population weighting."
## [1] "Processing hdcd completed for file: /Users/runner/work/_temp/Library/helios/extras/gfdl-esm4_r1i1p1f1_w5e5_ssp126_tas_global_daily_2015_2020_sub.nc"
## [1] "process_hdcd completed."
# Heating and cooling degree-days at annual scale
hdcd$hdcd_comb_annual| region | subRegion | year | HDCD | unit | value |
|---|---|---|---|---|---|
| China | Chongqing | 2020 | CD | Fahrenheit degree-days | 1847.17094 |
| China | Chongqing | 2020 | HD | Fahrenheit degree-days | -2784.02140 |
| China | Gansu | 2020 | CD | Fahrenheit degree-days | 328.77998 |
| China | Gansu | 2020 | HD | Fahrenheit degree-days | -6851.04096 |
| China | Hubei | 2020 | CD | Fahrenheit degree-days | 1166.79647 |
| China | Hubei | 2020 | HD | Fahrenheit degree-days | -3740.88599 |
| China | Inner Mongol | 2020 | CD | Fahrenheit degree-days | 875.27854 |
| China | Inner Mongol | 2020 | HD | Fahrenheit degree-days | -6874.16100 |
| China | Ningxia | 2020 | CD | Fahrenheit degree-days | 692.73315 |
| China | Ningxia | 2020 | HD | Fahrenheit degree-days | -6452.58165 |
| China | Qinghai | 2020 | CD | Fahrenheit degree-days | 25.24867 |
| China | Qinghai | 2020 | HD | Fahrenheit degree-days | -9417.88403 |
| China | Shaanxi | 2020 | CD | Fahrenheit degree-days | 1163.61281 |
| China | Shaanxi | 2020 | HD | Fahrenheit degree-days | -4720.13799 |
| China | Sichuan | 2020 | CD | Fahrenheit degree-days | 1755.24761 |
| China | Sichuan | 2020 | HD | Fahrenheit degree-days | -2770.78425 |
Diagnostics
After getting the data table for heating and cooling degrees, users
can perform diagnostics. The following example is only for demonstration
of how to use helios::diagnostics.
# Perform diagnostic on monthly data
helios::diagnostics(hdcd_monthly = hdcd_monthly,
min_diagnostic_months = 6,
folder = file.path(getwd(), 'output'),
name_append = 'monthly')
# if input non-dispatch segment data, there will be no diagnostics
helios::diagnostics(hdcd_segment = hdcd_gcam,
min_diagnostic_months = 6,
folder = file.path(getwd(), 'output'),
name_append = 'segment')XML file for GCAM
Finally, for GCAM users, helios can save the outputs by
building thermal service to XML format, which is a required format for
GCAM inputs. There are two ways to save helios output to
XML file:
- Set
xml = TRUEin thehelios::hdcdfunction will automatically save the XML file to the output folder. - Use
helios::save_xmlfunction.
helios::save_xml(hdcd_gcam = hdcd_gcam,
folder = file.path(getwd(), 'output'),
name_append = 'cmip')## [1] "Starting function save_xml..."
## [1] "File saved as : /Users/runner/work/helios/helios/vignettes/output/hdcd_cmip_xml.csv"
## [1] "File saved as : /Users/runner/work/helios/helios/vignettes/output/hdcd_cmip.xml"
## [1] "save_xml complete."