Smooth interpolation of scattered data by local thin plate splines

Franke, Richard

doi:10.1016/0898-1221(82)90009-8

Cited by 298 publications

(133 citation statements)

References 7 publications

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“…These anomalies are spatially interpolated to a resolution of 0.05°using a spline tension interpolator with weight one using four CRU TS 2.1 points. This interpolator ensures a smooth (continuous and differentiable) surface, together with continuous firstderivative surfaces (Franke, 1982). This approach is appropriate to assess spatial climate patterns at basin scale.…”

Section: Methodsmentioning

confidence: 99%

Historical trends and future predictions of climate variability in the Brahmaputra basin

Immerzeel¹

2007

Intl Journal of Climatology

208

167

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An innovative approach is developed and presented to assess historical climate variations and to quantify future climate change for the entire Brahmaputra basin. Historical trends in temperature and precipitation are analysed from 1900 to 2002 for the Tibetan plateau (TP), the Himalayan belt and the floodplains (FP) using a global 100 year monthly high resolution dataset. Temperature patterns are consistent with global warming and out of the 10% warmest years from 1900 to 2002 six occurred between 1995 and 2002. No clear trends in precipitation were found and annual precipitation in the basin is mainly determined by the strength of the monsoon. Regression analysis is used to further explain monsoon precipitation. A significant inverse relation is found between air temperature differences between the FP and the TP and the strength of the monsoon, whereas the El Niño Southern Oscillation teleconnection does not have a prominent role in explaining variation in monsoon precipitation. Simulation results of six general circulation models are statistically downscaled to the spatial resolution of the observed dataset for two future storylines. The analysis predicts accelerated seasonal increases in both temperature and precipitation from 2000 to 2100. The largest changes occur on the TP and the smallest on the FP. Multiple regression analysis shows a sharp increase in the occurrence of average and extreme downstream discharges for both storylines. The strongest increases are projected for the monsoon season and the largest threat of climate change lies in the associated flooding in the densely populated FP.

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Section: Methodsmentioning

confidence: 99%

Historical trends and future predictions of climate variability in the Brahmaputra basin

Immerzeel¹

2007

Intl Journal of Climatology

208

167

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“…In an initial step, we sample the center lines (100 m sampling distance) to obtain distance information at discrete points. We then fit a continuous surface through these points by applying a spline interpolation (Franke, 1982). By using glacier outlines as interpolation boundaries, we prevent interpolation across branches.…”

Section: Distance Grid and Area-length Distributionmentioning

confidence: 99%

Derivation and analysis of a complete modern-date glacier inventory for Alaska and northwest Canada

et al. 2015

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ABSTRACT. We present a detailed, complete glacier inventory for Alaska and neighboring Canada using multi-sensor satellite data from 2000 to 2011. For each glacier, we derive outlines and 51 variables, including center-line lengths, outline types and debris cover. We find 86 723 km 2 of glacier area (27 109 glaciers >0.025 km 2 ), �12% of the global glacierized area outside ice sheets. Of this area 12.0% is drained by 39 marine-terminating glaciers (74 km of tidewater margin), and 19.3% by 148 lake-and river-terminating glaciers (420 km of lake-/river margin). The overall debris cover is 11%, with considerable differences among regions, ranging from 1.4% in the Kenai Mountains to 28% in the Central Alaska Range. Comparison of outlines from different sources on >2500 km 2 of glacierized area yields a total area difference of �10%, emphasizing the difficulties in accurately delineating debris-covered glaciers. Assuming fully correlated (systematic) errors, uncertainties in area reach 6% for all Alaska glaciers, but further analysis is needed to explore adequate error correlation scales. Preliminary analysis of the glacier database yields a new set of well-constrained area/length scaling parameters and shows good agreement between our area-altitude distributions and previously established synthetic hypsometries. The new glacier database will be valuable to further explore relations between glacier variables and glacier behavior.

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“…2. Through a comparison of various interpolation methods (Franke, 1982;Mitas and Mitasova, 1988), spline was determined to be the most suitable for this study because of its high accuracy and relatively low variation. The spline function uses the following formula for surface interpolation:…”

Section: Underlying Terrain Modeling and Loess-deposition Process Evamentioning

confidence: 99%

Modeling the evolution of loess-covered landforms in the Loess Plateau of China using a DEM of underground bedrock surface

Xiong

Tang

et al. 2014

Geomorphology

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Smooth interpolation of scattered data by local thin plate splines

Cited by 298 publications

References 7 publications

Historical trends and future predictions of climate variability in the Brahmaputra basin

Historical trends and future predictions of climate variability in the Brahmaputra basin

Derivation and analysis of a complete modern-date glacier inventory for Alaska and northwest Canada

Modeling the evolution of loess-covered landforms in the Loess Plateau of China using a DEM of underground bedrock surface

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