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Federal Department of Home Affairs FDHA Federal Office of Meteorology and Climatology MeteoSwiss Seasonal forecasting of climate indices Jonas Bhend, Irina Mahlstein, Christoph Spirig, Jacopo Riboldi, Mark Liniger, Christof Appenzeller


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Federal Department of Home Affairs FDHA Federal Office of Meteorology and Climatology MeteoSwiss

Seasonal forecasting of climate indices

Jonas Bhend, Irina Mahlstein, Christoph Spirig, Jacopo Riboldi, Mark Liniger, Christof Appenzeller

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2 Forecasting climate indices, Euporias workshop, Santander

Indices: Example Heating Degree Days (HDD)

HDD: Index to reflect demand of energy to heat a building. Defined as number of degrees that day’s average temperature is below 18°C. Characteristics of Indices:

  • Nonlinear transfer function of basic climate variable
  • scalar
  • Often based on daily data
  • Aggregated or counts over time
  • Threshold based, absolute or relative to climatology

DJF, Nov Initialization, ECMWF System4

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3 Forecasting climate indices, Euporias workshop, Santander

Summary

Threshold-based climate indices require some form of daily bias correction of seasonal forecasts. De-biasing is non-trivial due to small sample of re-forecast /

  • bservation pairs, auto-correlation and bias in higher-order

moments. Smoothing of observed daily climatology improves de-biasing and skill of forecasts.

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4 Forecasting climate indices, Euporias workshop, Santander

Example: Debiasing daily series

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5 Forecasting climate indices, Euporias workshop, Santander

Example: Debiasing daily series

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6 Forecasting climate indices, Euporias workshop, Santander

Example: Debiasing daily series

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7 Forecasting climate indices, Euporias workshop, Santander

Example: Debiasing daily series

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8 Forecasting climate indices, Euporias workshop, Santander

Example: Debiasing daily series

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9 Forecasting climate indices, Euporias workshop, Santander

Example: Debiasing daily series

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10 Forecasting climate indices, Euporias workshop, Santander

Example: Debiasing daily series

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11 Forecasting climate indices, Euporias workshop, Santander

Bias correction of daily data: daily mean temperature

Problem: 30 years of observations not enough to calculate daily climatology Explore smoothing in model world by perfect model approach average of 30 years with 1 member Loess smoothing of 30 years with 1 member average of 30 years with 51 members K

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12 Forecasting climate indices, Euporias workshop, Santander

Bias correction of daily data: daily mean temperature

MAE between full hindcast daily mean and

  • f hindcast climatology estimated from 1 member through

fit daily data DJF, Nov Initialization, System4

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13 Forecasting climate indices, Euporias workshop, Santander

Bias correction of daily data: daily mean temperature

Mean hindcast spread MAE for daily data

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14 Forecasting climate indices, Euporias workshop, Santander

Bias correction of daily data: 5% percentile of daily temperature

MAE between full hindcast daily mean and

  • f estimated from 1 member through

fit 5day window

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15 Forecasting climate indices, Euporias workshop, Santander

Bias correction of daily data: 90% percentile of daily precipitation

MAE between full hindcast daily mean and

  • f estimated from 1 member through

fit 5-day window

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16 Forecasting climate indices, Euporias workshop, Santander

Skill of debiased vs. raw metrics: Heating degree days climatology

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17 Forecasting climate indices, Euporias workshop, Santander

Skill of debiased vs. raw metrics: HDD correlation

HDD correlation (raw) HDD correlation (debiased)

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18 Forecasting climate indices, Euporias workshop, Santander

Skill of debiased vs. raw metrics: HDD continuos ranked probability skill score

HDD crpss (raw) HDD crpss (debiased)

Good Bad

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19 Forecasting climate indices, Euporias workshop, Santander

HDD crpss (raw) HDD crpss (debiased)

Good Bad

Temperature crpss (raw) Temperature crpss (debiased)

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20 Forecasting climate indices, Euporias workshop, Santander

Skill of debiased vs. raw metrics: Frost day climatology

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21 Forecasting climate indices, Euporias workshop, Santander

Skill of debiased vs. raw metrics: Frost days correlation

FD correlation (raw) FD correlation (debiased)

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22 Forecasting climate indices, Euporias workshop, Santander

Skill of debiased vs. raw metrics: FD continuous ranked probability skill score

FD crpss (raw) FD crpss (debiased)

Good Bad

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23 Forecasting climate indices, Euporias workshop, Santander

Summary

Threshold-based climate indices require some form of daily bias correction of seasonal forecasts. Daily de-biasing is non-trivial due to small sample of re- forecast / observation pairs, auto-correlation and biases in higher-order moments (yet to be addressed). Smoothing of observed daily climatology improves de-biasing and skill of forecasts.

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24 Forecasting climate indices, Euporias workshop, Santander

Deliverable WP22

Please send whatever you have as soon as possible to christoph.spirig@meteoswiss.ch

  • Climatologies of climate indices
  • Forecasts of climate indices
  • Skill metrics of climate indices