{"doi":"10.1142/s0219525904000044","title":"EMERGENCE OF ALLOMETRIC SCALING IN GENEALOGICAL TREES","abstract":"<jats:p>We investigate the emergence of power-law scalings in genealogical trees. Especially, we study the topological properties of genealogical trees both in the neutral evolution and the selective evolution. In all instances, we observe that the topologies of these trees are well described by a power-law scaling [Formula: see text], where A<jats:sub>k</jats:sub>is the number of nodes which are direct or indirect descendants of node k and C<jats:sub>k</jats:sub>=∑<jats:sub>j</jats:sub>A<jats:sub>j</jats:sub>where the sum is taken over all nodes that contribute to A<jats:sub>k</jats:sub>. This relation is well known in transportation networks as well as in metabolic networks, and it is referred to as allometric scaling. Furthermore, we observe a slight dependence of the scaling exponent η on the intensity of selection.</jats:p>","journal":"Advances in Complex Systems","year":2004,"id":39772,"datarank":0.32892671038148913,"base_score":1.3862943611198906,"endowment":1.3862943611198906,"self_citation_contribution":0.20794415416798362,"citation_network_contribution":0.12098255621350552,"self_endowment_contribution":0.20794415416798362,"citer_contribution":0.12098255621350552,"corpus_percentile":null,"corpus_rank":null,"citation_count":3,"citer_count":3,"citers_with_citation_signal":3,"citers_with_endowment":3,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":194500,"name":"VIVIANE M. DE OLIVEIRA","orcid":null,"position":1,"is_corresponding":false},{"id":194501,"name":"LEONARDO P. MAIA","orcid":null,"position":2,"is_corresponding":false},{"id":194499,"name":"PAULO R. A. CAMPOS","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":1.3862943611198906,"endowment":1.3862943611198906,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"18998881","pmcid":null,"openalex_id":"https://openalex.org/W2071465348","authors":[],"funders":[],"total_grants":0,"fwci":0.0,"citation_percentile":0.15516814,"influential_citations":0,"citation_trend":[{"year":2012,"count":1},{"year":2016,"count":1}],"oa_status":"closed","license":null,"oa_locations":[{"url":"https://www.worldscientific.com/doi/pdf/10.1142/S0219525904000044","host_type":"publisher"},{"url":"https://doi.org/10.1142/s0219525904000044","host_type":"journal"},{"url":"http://www.worldscientific.com/doi/abs/10.1142/S0219525904000044","host_type":"repository"},{"url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&amp;id=pii:S0219525904000044","host_type":"repository"}],"fields_of_study":["Complex Network Analysis Techniques","Evolution and Genetic Dynamics","Evolutionary Game Theory and Cooperation","Mathematics","Computer Science","Biology"],"mesh_terms":[],"keywords":["Allometry","Scaling","Exponent","Power law","Statistical physics","Node (physics)","Scaling law","Selection (genetic algorithm)","Mathematics","Network topology","Topology (electrical circuits)","Computer science","Combinatorics","Physics","Ecology","Biology","Statistics","Artificial intelligence"],"sdg_mappings":[{"sdg_number":0,"sdg_label":"Peace, Justice and strong institutions"}],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-06-11T22:27:56.810206Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}