--- _id: '993' abstract: - lang: eng text: In real-world applications, observations are often constrained to a small fraction of a system. Such spatial subsampling can be caused by the inaccessibility or the sheer size of the system, and cannot be overcome by longer sampling. Spatial subsampling can strongly bias inferences about a system’s aggregated properties. To overcome the bias, we derive analytically a subsampling scaling framework that is applicable to different observables, including distributions of neuronal avalanches, of number of people infected during an epidemic outbreak, and of node degrees. We demonstrate how to infer the correct distributions of the underlying full system, how to apply it to distinguish critical from subcritical systems, and how to disentangle subsampling and finite size effects. Lastly, we apply subsampling scaling to neuronal avalanche models and to recordings from developing neural networks. We show that only mature, but not young networks follow power-law scaling, indicating self-organization to criticality during development. article_number: '15140' article_processing_charge: Yes (in subscription journal) author: - first_name: Anna full_name: Levina (Martius), Anna id: 35AF8020-F248-11E8-B48F-1D18A9856A87 last_name: Levina (Martius) - first_name: Viola full_name: Priesemann, Viola last_name: Priesemann citation: ama: Levina (Martius) A, Priesemann V. Subsampling scaling. Nature Communications. 2017;8. doi:10.1038/ncomms15140 apa: Levina (Martius), A., & Priesemann, V. (2017). Subsampling scaling. Nature Communications. Nature Publishing Group. https://doi.org/10.1038/ncomms15140 chicago: Levina (Martius), Anna, and Viola Priesemann. “Subsampling Scaling.” Nature Communications. Nature Publishing Group, 2017. https://doi.org/10.1038/ncomms15140. ieee: A. Levina (Martius) and V. Priesemann, “Subsampling scaling,” Nature Communications, vol. 8. Nature Publishing Group, 2017. ista: Levina (Martius) A, Priesemann V. 2017. Subsampling scaling. Nature Communications. 8, 15140. mla: Levina (Martius), Anna, and Viola Priesemann. “Subsampling Scaling.” Nature Communications, vol. 8, 15140, Nature Publishing Group, 2017, doi:10.1038/ncomms15140. short: A. Levina (Martius), V. Priesemann, Nature Communications 8 (2017). date_created: 2018-12-11T11:49:35Z date_published: 2017-05-04T00:00:00Z date_updated: 2023-09-22T09:54:07Z day: '04' ddc: - '005' - '571' department: - _id: GaTk - _id: JoCs doi: 10.1038/ncomms15140 ec_funded: 1 external_id: isi: - '000400560700001' file: - access_level: open_access checksum: 9880212f8c4c53404c7c6fbf9023c53a content_type: application/pdf creator: system date_created: 2018-12-12T10:15:05Z date_updated: 2020-07-14T12:48:19Z file_id: '5122' file_name: IST-2017-819-v1+1_2017_Levina_SubsamplingScaling.pdf file_size: 746224 relation: main_file file_date_updated: 2020-07-14T12:48:19Z has_accepted_license: '1' intvolume: ' 8' isi: 1 language: - iso: eng month: '05' oa: 1 oa_version: Published Version project: - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme publication: Nature Communications publication_identifier: issn: - '20411723' publication_status: published publisher: Nature Publishing Group publist_id: '6406' pubrep_id: '819' quality_controlled: '1' scopus_import: '1' status: public title: Subsampling scaling tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 8 year: '2017' ...