Annual trend of uneven timeseries

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Antonino Ferola 2023-2-21

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https://ww2.mathworks.cn/matlabcentral/answers/1916300-annual-trend-of-uneven-timeseries

编辑： dpb 2023-2-21

I would like to know how to retrieve the annual trend of an uneven timeseries, does anybody have an answer?

My timeseries is made up by two vector: time vector and the related data vector.

This is an example of the time vector: T=['03-Nov-1994' '28-Dec-1994' '06-Jan-1995' '26-Feb-1995' '07-Jan-1996' '13-Feb-1996' '26-Jan-1997' '14-Feb-1997' '23-Nov-1997' '09-Jan-1998' '28-Feb-1998' '05-Jan-1999' '07-Jan-2000' '06-Jan-2001' '21-Feb-2001' '06-Jan-2003' '24-Dec-2003' '01-Jan-2005' '03-Jan-2006' '05-Feb-2007' '16-Jan-2008' '28-Jan-2010' '13-Jan-2012' '14-Feb-2014' '16-Jan-2016' '31-Dec-2016' '07-Jan-2020' '25-Dec-2020' '08-Jan-2022']

I don't want to temporally interpolate my data, because in that way I would lose my data variability.

I think a good solution could be a spectrum analysis, but I am not sure on how to do it.

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Antonino Ferola 2023-2-21

编辑：Antonino Ferola 2023-2-21

Sorry, i want to cumpute the trend over 30 years of my time series and therefore express it in terms of variation of my variable per year.

I attached the Time Vector and a Data Vector.

Thanks in advance!

dpb 2023-2-21

编辑：dpb 2023-2-21

Same words as before -- what is "trend"? A linear trend computed annually, maybe? That'd be simple enough with the year as the grouping variable with the <splitapply> workflow with the functional being as simple as polyfit or detailed to use <fit> of the Curve Fitting TB if want all the statistics to go with it.

"In terms of variation of my variable per year" is also a pretty nebulous description; you could standardize the slope by the mean, pehaps,is what you're asking for?