Linear Trend Slope per Decade Calculator
OLS actual irregular year climate trend, distinct from Sen median pair slopes; no autocorrelation adjusted interval or forecast. Caller independently establishes homogeneous observation coverage and model/reference applicability; not observed future climate, crop suitability or validated drought severity.
Description
A trend per decade rescales the slope of anomalies against time.
A trend per decade rescales the slope of anomalies against time.1
Least-squares residuals describe this linear fit without establishing causation or a future climate forecast. Use Linear Trend Slope per Decade Calculator to evaluate the supplied inputs under the model explained below.
When to use Linear Trend Slope per Decade Calculator
Use Linear Trend Slope per Decade Calculator to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.
How to use Linear Trend Slope per Decade Calculator and understand its results
- Establish the units, measurement scope and model assumptions before entering values.
- Enter Observed years, Observed temperature anomalies c using the field table and validation rules below, then run the tool.
- Read Ordinary least squares trend c per decade, Residual anomalies c; interpret the units, signs, ordering and unknown-value placeholders described below.
- Correct reported input errors and rerun. Apply successful results according to their specific meanings and check the assumptions before using them in a decision.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedYears | Observed years | array of number | Required; constraints below |
| observedTemperatureAnomaliesC | Observed temperature anomalies c | array of number | Required; constraints below |
Enter at least two aligned finite observation years and temperature anomalies in °C, with strictly increasing years. Fit ordinary least squares, return ten times the slope in °C/decade and residuals in input order. Fractional years are accepted. The calculation supplies no confidence interval, seasonal correction, autocorrelation model or extrapolated forecast.
trendCPerDecade=10×OLSslope; residual[i]=anomaly[i]−intercept−slope×year[i] Use the field order, units and branch conditions described above.
| Output field | Meaning | Value type |
|---|---|---|
| ordinaryLeastSquaresTrendCPerDecade | Ordinary least squares trend c per decade | number |
| residualAnomaliesC | Residual anomalies c | array of number |
{
"input": {
"observedYears": [
2000,
2010,
2020
],
"observedTemperatureAnomaliesC": [
0,
1,
2
]
},
"output": {
"ordinaryLeastSquaresTrendCPerDecade": 1,
"residualAnomaliesC": [
0,
0,
0
]
}
}Limitations and assumptions
Least-squares residuals describe this linear fit without establishing causation or a future climate forecast. Apply the exact scope and assumptions explained above.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are explained above; extremely large inputs or outputs can also be rejected. Input errors differ from successful false results, empty match lists and unknown-evidence placeholders.
Alternative or Complementary methods
Use Climate Sensitivity Feedback Parameter Calculator for a related task: Amplifying feedback components reduce an adopted restoring magnitude in this sign convention.
Use CO2 Doubling Warming Estimate via Sensitivity Calculator for a related task: Equilibrium warming can be modeled as radiative forcing divided by net restoring feedback.
References
-
Linear Trend Slope per Decade Calculator — tool.io
Similar or alternative tools
- Climate Sensitivity Feedback Parameter Calculator
Amplifying feedback components reduce an adopted restoring magnitude in this sign convention.
- CO2 Doubling Warming Estimate via Sensitivity Calculator
Equilibrium warming can be modeled as radiative forcing divided by net restoring feedback.