{"title":"总体研究中均值迭代法的特点","authors":"Yu. I. Sukhorukikh, S. G. Biganova","doi":"10.1134/S2079096124700380","DOIUrl":null,"url":null,"abstract":"<p>This article considers the features of the mean iteration method when studying populations the quantitative indicators of which have different statistical distributions. The studies were conducted in the central part of the Northwest Caucasus. The published and field data used by the authors came from eight sample plots laid out in the lower mountain, forest–steppe, and steppe zones of the central part of the region, where various indicators were studied for seven plant species. The sample size in the sample plots was 122–485 individuals. Statistical data processing was carried out using the Stadia8.0 and Microsoft Excel for Windows programs. The values of inter-iteration means and gradations were established using known and original methods. It was revealed that, with a normal statistical distribution, the inter-iteration means have close values (difference of 0–4.23%) with the values of the means increased by 0.5–2 standard deviations. To correct extreme inter-iteration values, where the sample is insignificant (1–4 observations), it is recommended to use forecast models, which should be calculated separately for each option. The allocation of gradations of quantitative traits in populations by the iteration of means method ensures an adequate distribution of indicators in three or five gradations compared to methods focused on the average increased by the value of the standard deviation or dividing the indicators into equal values.</p>","PeriodicalId":44316,"journal":{"name":"Arid Ecosystems","volume":"14 4","pages":"423 - 429"},"PeriodicalIF":0.6000,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Features of the Method of Iteration of Means in Studying Populations\",\"authors\":\"Yu. I. Sukhorukikh, S. G. Biganova\",\"doi\":\"10.1134/S2079096124700380\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This article considers the features of the mean iteration method when studying populations the quantitative indicators of which have different statistical distributions. The studies were conducted in the central part of the Northwest Caucasus. The published and field data used by the authors came from eight sample plots laid out in the lower mountain, forest–steppe, and steppe zones of the central part of the region, where various indicators were studied for seven plant species. The sample size in the sample plots was 122–485 individuals. Statistical data processing was carried out using the Stadia8.0 and Microsoft Excel for Windows programs. The values of inter-iteration means and gradations were established using known and original methods. It was revealed that, with a normal statistical distribution, the inter-iteration means have close values (difference of 0–4.23%) with the values of the means increased by 0.5–2 standard deviations. To correct extreme inter-iteration values, where the sample is insignificant (1–4 observations), it is recommended to use forecast models, which should be calculated separately for each option. The allocation of gradations of quantitative traits in populations by the iteration of means method ensures an adequate distribution of indicators in three or five gradations compared to methods focused on the average increased by the value of the standard deviation or dividing the indicators into equal values.</p>\",\"PeriodicalId\":44316,\"journal\":{\"name\":\"Arid Ecosystems\",\"volume\":\"14 4\",\"pages\":\"423 - 429\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2025-02-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Arid Ecosystems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S2079096124700380\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ECOLOGY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Arid Ecosystems","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S2079096124700380","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ECOLOGY","Score":null,"Total":0}
引用次数: 0
摘要
本文在研究数量指标具有不同统计分布的总体时,考虑了均值迭代法的特点。这些研究是在高加索西北部中部地区进行的。作者使用的已发表和实地数据来自该地区中部低山、森林草原和草原带的8个样地,在那里研究了7种植物的各种指标。样地样本量为122 ~ 485人。统计数据处理采用Stadia8.0和Microsoft Excel for Windows程序。利用已知的和原始的方法确定了迭代间均值和梯度的值。结果表明,迭代间均值呈正态分布,均值增加0.5-2个标准差,均值相差0-4.23%。为了纠正极端的迭代间值,当样本是不显著的(1-4个观测值),建议使用预测模型,应该为每个选项单独计算。与侧重于标准偏差值增加的平均值或将指标划分为相等值的方法相比,通过均值迭代法在群体中分配数量性状的层次确保了指标在三或五个层次上的适当分布。
Features of the Method of Iteration of Means in Studying Populations
This article considers the features of the mean iteration method when studying populations the quantitative indicators of which have different statistical distributions. The studies were conducted in the central part of the Northwest Caucasus. The published and field data used by the authors came from eight sample plots laid out in the lower mountain, forest–steppe, and steppe zones of the central part of the region, where various indicators were studied for seven plant species. The sample size in the sample plots was 122–485 individuals. Statistical data processing was carried out using the Stadia8.0 and Microsoft Excel for Windows programs. The values of inter-iteration means and gradations were established using known and original methods. It was revealed that, with a normal statistical distribution, the inter-iteration means have close values (difference of 0–4.23%) with the values of the means increased by 0.5–2 standard deviations. To correct extreme inter-iteration values, where the sample is insignificant (1–4 observations), it is recommended to use forecast models, which should be calculated separately for each option. The allocation of gradations of quantitative traits in populations by the iteration of means method ensures an adequate distribution of indicators in three or five gradations compared to methods focused on the average increased by the value of the standard deviation or dividing the indicators into equal values.
期刊介绍:
Arid Ecosystems publishes original scientific research articles on desert and semidesert ecosystems and environment:systematic studies of arid territories: climate changes, water supply of territories, soils as ecological factors of ecosystems state and dynamics in different scales (from local to global);systematic studies of arid ecosystems: composition and structure, diversity, ecology; paleohistory; dynamics under anthropogenic and natural factors impact, including climate changes; studying of bioresources and biodiversity, and development of the mapping methods;arid ecosystems protection: development of the theory and methods of degradation prevention and monitoring; desert ecosystems rehabilitation;problems of desertification: theoretical and practical issues of modern aridization processes under anthropogenic impact and global climate changes.