Equitable transform applied to phenology and temperature in a changing climate: Scaling to maintain individuality
Abstract We describe an equitable transform that can be used to estimate missing data points, determine systematic patterns in data, observe baseline changes, and detect different amplitudes in replicated sequences. It is applicable to short discrete two‐ or three‐dimensional data sets such as biolo...
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ftdoajarticles:oai:doaj.org/article:3c2840035d704ba696a3124ae12eb709 2023-05-15T15:03:50+02:00 Equitable transform applied to phenology and temperature in a changing climate: Scaling to maintain individuality Cassandra Elphinstone Greg H. R. Henry 2020-02-01T00:00:00Z https://doi.org/10.1002/ecs2.3036 https://doaj.org/article/3c2840035d704ba696a3124ae12eb709 EN eng Wiley https://doi.org/10.1002/ecs2.3036 https://doaj.org/toc/2150-8925 2150-8925 doi:10.1002/ecs2.3036 https://doaj.org/article/3c2840035d704ba696a3124ae12eb709 Ecosphere, Vol 11, Iss 2, Pp n/a-n/a (2020) Arctic plant averaging Boltzmann transformation climate change equitable matrix fractal Ecology QH540-549.5 article 2020 ftdoajarticles https://doi.org/10.1002/ecs2.3036 2022-12-31T04:15:22Z Abstract We describe an equitable transform that can be used to estimate missing data points, determine systematic patterns in data, observe baseline changes, and detect different amplitudes in replicated sequences. It is applicable to short discrete two‐ or three‐dimensional data sets such as biological life cycles or water content in similar media. The technique is independent of the continuity or ordering of sequences but is distinct from methods such as principal component analysis. It is ideally used to preprocess noisy or incomplete data sets prior to analysis with other well‐established techniques. This transformation maintains systematic differences between individual sequences when the underlying pattern is a separable function in two variables added to another function in one of these variables. The equitable transform partitions the original noisy data into the underlying signal determined from the data and its residuals. Points from one sequence can be transformed to any other sequence without losing any information. Information about one or more sequences can be used to infer others with missing data. A link to a github R package is provided so the transform can easily be run on any two‐dimensional data set. Simulated two‐dimensional data sets are used to demonstrate its utility in recovering missing data and scaling/offsetting in one of the dimensions. We used the transform to determine that winter temperatures at a High Arctic site have warmed by 1.8° ± 0.4°C/decade and summer temperatures by 1.1° ± 0.2°C/decade from 1986 to 2007. Applied to 18 yr of phenology data for the tundra plant Dryas integrifolia at the same site, we determined that the annual cycles of phenology events could be modeled accurately. Phenology, in some circumstances, can be described as offsetting and scaling the rate at which life cycle events occur. We introduce the idea of scaling and shifting the seasonal cycle of a reference plant via the equitable transform in order to approximate the behavior of multiple phenological ... Article in Journal/Newspaper Arctic Climate change Tundra Directory of Open Access Journals: DOAJ Articles Arctic Ecosphere 11 2 |
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Open Polar |
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Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
Arctic plant averaging Boltzmann transformation climate change equitable matrix fractal Ecology QH540-549.5 |
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Arctic plant averaging Boltzmann transformation climate change equitable matrix fractal Ecology QH540-549.5 Cassandra Elphinstone Greg H. R. Henry Equitable transform applied to phenology and temperature in a changing climate: Scaling to maintain individuality |
topic_facet |
Arctic plant averaging Boltzmann transformation climate change equitable matrix fractal Ecology QH540-549.5 |
description |
Abstract We describe an equitable transform that can be used to estimate missing data points, determine systematic patterns in data, observe baseline changes, and detect different amplitudes in replicated sequences. It is applicable to short discrete two‐ or three‐dimensional data sets such as biological life cycles or water content in similar media. The technique is independent of the continuity or ordering of sequences but is distinct from methods such as principal component analysis. It is ideally used to preprocess noisy or incomplete data sets prior to analysis with other well‐established techniques. This transformation maintains systematic differences between individual sequences when the underlying pattern is a separable function in two variables added to another function in one of these variables. The equitable transform partitions the original noisy data into the underlying signal determined from the data and its residuals. Points from one sequence can be transformed to any other sequence without losing any information. Information about one or more sequences can be used to infer others with missing data. A link to a github R package is provided so the transform can easily be run on any two‐dimensional data set. Simulated two‐dimensional data sets are used to demonstrate its utility in recovering missing data and scaling/offsetting in one of the dimensions. We used the transform to determine that winter temperatures at a High Arctic site have warmed by 1.8° ± 0.4°C/decade and summer temperatures by 1.1° ± 0.2°C/decade from 1986 to 2007. Applied to 18 yr of phenology data for the tundra plant Dryas integrifolia at the same site, we determined that the annual cycles of phenology events could be modeled accurately. Phenology, in some circumstances, can be described as offsetting and scaling the rate at which life cycle events occur. We introduce the idea of scaling and shifting the seasonal cycle of a reference plant via the equitable transform in order to approximate the behavior of multiple phenological ... |
format |
Article in Journal/Newspaper |
author |
Cassandra Elphinstone Greg H. R. Henry |
author_facet |
Cassandra Elphinstone Greg H. R. Henry |
author_sort |
Cassandra Elphinstone |
title |
Equitable transform applied to phenology and temperature in a changing climate: Scaling to maintain individuality |
title_short |
Equitable transform applied to phenology and temperature in a changing climate: Scaling to maintain individuality |
title_full |
Equitable transform applied to phenology and temperature in a changing climate: Scaling to maintain individuality |
title_fullStr |
Equitable transform applied to phenology and temperature in a changing climate: Scaling to maintain individuality |
title_full_unstemmed |
Equitable transform applied to phenology and temperature in a changing climate: Scaling to maintain individuality |
title_sort |
equitable transform applied to phenology and temperature in a changing climate: scaling to maintain individuality |
publisher |
Wiley |
publishDate |
2020 |
url |
https://doi.org/10.1002/ecs2.3036 https://doaj.org/article/3c2840035d704ba696a3124ae12eb709 |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic Climate change Tundra |
genre_facet |
Arctic Climate change Tundra |
op_source |
Ecosphere, Vol 11, Iss 2, Pp n/a-n/a (2020) |
op_relation |
https://doi.org/10.1002/ecs2.3036 https://doaj.org/toc/2150-8925 2150-8925 doi:10.1002/ecs2.3036 https://doaj.org/article/3c2840035d704ba696a3124ae12eb709 |
op_doi |
https://doi.org/10.1002/ecs2.3036 |
container_title |
Ecosphere |
container_volume |
11 |
container_issue |
2 |
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1766335688225062912 |