引用本文:  杨颖川，刘 禹，郝赛宇.2018.兴隆山油松树轮宽度与太阳年辐射总量的关系分析[J].地球环境学报,9(5):470479 
 YANG Yingchuan, LIU Yu, HAO Saiyu.2018.Analysis on the relationship between tree ring width of Pinus tabulaeformis Carr. and solar annual average radiation in Xinglong Mountain[J].Journal of Earth Environment,9(5):470479 



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兴隆山油松树轮宽度与太阳年辐射总量的关系分析 
杨颖川^{1}，刘 禹^{2, 3}，郝赛宇^{4}

1. 兰州大学 大气科学学院，兰州 730107
2. 中国科学院地球环境研究所 黄土与第四纪地质国家重点实验室，西安 710061
3. 西安交通大学 人居环境与建筑工程学院，西安 710049
4. 国防科技大学 计算机学院，长沙 410073


摘要: 
利用采自兰州市榆中县兴隆山自然保护区的油松树轮资料，建立了研究区域的树轮STD年表。并利用1960 — 2016年该区域的太阳年辐射总量资料，将油松树轮宽度与太阳年辐射总量的年际变化趋势相比较，利用Pearson分析初步探究其相关性。采用滑动相关分析等方法，探讨了研究区域油松树轮宽度与太阳年辐射总量的关系随时间的变化。结果表明：树轮宽度与太阳年辐射总量在年际上存在较为一致的变化趋势，且该树轮宽度标准化年表对研究区域太阳年辐射总量具有一定的指示意义。在此基础上设计转换方程，利用多元回归技术重建了研究区1640 — 2015年的太阳年辐射总量变化历史，重建序列的方差解释量为36.9%（F = 15.206，p < 0.0001）。在过去的376年中，太阳年辐射总量表现出明显的年际间频繁波动，并且极值年出现的频率较高，其中极高辐射总量年有70年，极低辐射总量年有68年，分别占整个时段的18.67%和18.04%。 
关键词: 兴隆山 油松 树轮宽度 太阳年辐射总量重建 相关性 
DOI：10.7515/JEE182039 
分类号: 
基金项目:中国科学院大学生创新实践训练计划 

Analysis on the relationship between tree ring width of Pinus tabulaeformis Carr. and solar annual average radiation in Xinglong Mountain 
YANG Yingchuan^{1}, LIU Yu^{2, 3}, HAO Saiyu^{4}

1. College of Atmospheric Sciences, Lanzhou University, Lanzhou 730107, China
2. State Key Laboratory of Loess and Quaternary Geology, Institute of Earth Environment, Chinese Academy of Sciences, Xi’an 710061, China
3. Department of Environment Science and Technology, School of Human Settlements and Civil Engineering, Xi’an Jiaotong University, Xi’an 710049, China
4. College of Computer, National University of Defense Technology, Changsha 410073, China

Abstract: 
Background, aim, and scope Radiation research is essential for better understanding past climate change, and in various climatic factors, the amount of radiation is also an important indicator of the growth of trees. However, involving the treering data and radiation changes in the research results are still relatively rare. Treerings have been considered as one of the best known archives in the past climate research with their features such as strong continuity, high resolution and easy access to duplicate. Materials and methods Employing the standard methods sponsored by the International TreeRing Data Bank (ITRDB), 44 Chinese pine tree (Pinus tabulaeformis Carr.) cores were collected from 22 trees in Mt. Xinglong in northcentral China (103°50′—104°10′E, 35°38′—35°58′N, annual average radiation is 5122 MJ · m−2) during November 2016. In the laboratory, the standard dendrochronological processes were employed, and the ringwidths of each core were measured with a precision of 0.001 mm. After crossdating, the COFECHA program was used to control the quality of crossdating. Three tree ring chronologies (STD, RES and ARS chronologies) were carried out with the ARSTAN program. To clarify the climatic conditions in our study area, the total annual radiation data from 1960 to 2016 were extracted from the Yuzhong station (104.15°E, 35.87°N, 1875 m a.s.l.). The treering widths and the total annual radiation were compared by Pearson correlation analysis to preliminarily identify their relationship. The changes of treering chronology and total radiation were also explored by sliding correlation analysis. Based on the correlation analysis, multivariate regression analysis was used to establish the conversion equation of the annual total radiation of the STD chronology. And the conversion equation was used to reconstruct the annual total radiation from 1640 to 2015 in the historical period. Results In the sliding correlation analysis, 11year is chosen for the sliding window. Since the solar sunspot activity period is 11 years, if the sunspots are relatively large, the sun activity will be more intense, the radiation sunshine hours and the solar radiation all will increase. Therefore, the sliding correlation coefficient calculated by the 11year sliding window can better represent the effect of radiation intensity on treering width. The correlation coefficient r (r0=0.338, p<0.01, n=57) between treering width and annual radiation in the region from 1960 to 2016 is tested by the confidence degree <0.01, indicating that the total annual radiation and the treering width have a more significant positive correlation. The sliding correlation coefficient shows that the relationship between treering width and total annual radiation is always positive correlation between 1970 and 2016. The positive correlation in 1970—1991 reaches the significance level of 0.05, and the positive correlation is significant, which shows that the change of total annual solar radiation is always the main factor affecting the variation of treering width. From 1992 to 2016, the sliding correlation coefficient fluctuates between 0.3 — 0.5 and tends to be stable. The factors influencing the radial growth of Pinus tabulaeformis Carr. treering width become more complicated, but the relationship between the change of annual total radiation and the radial growth of treering width reaches a steady state. It is significant to indicate the change of the annual total radiation by Pinus tabulaeformis Carr. treering width in this region. Using multivariate regression technique, the history of the change of annual total radiation is reconstructed in the study area from 1640 to 2015. During the past 376 years, the annual total amount of radiation shows significant interannual fluctuations. There are periods below average during the reconstruction period: 1646—1668, 1705—1727, 1739—1751, 1758—1774, 1832—1846, 1856—1875, 1923—1944, 1984—2010; there are higher periods: 1683—1704, 1728—1738, 1752—1757, 1775—1812, 1876—1922, 1945—1983. The rest years’ values are close to the average. At the same time, there is a high frequency of extremes, of which 70 years are very high and 68 years are very low, accounting for 18.67% and 18.04% of the total period (1640 — 2016) respectively. Discussion During the study years, treering width and total annual radiation always have positive correlation. The growth of Pinus tabulaeformis Carr. is sensitive to the change of total annual radiation. From view of physiology, when in a certain radiation intensity range, adequate light provides the heat required for tree growth and promotes the plant photosynthesis, which is conducive to the accumulation of organic matter, and nutrients reserved for the next year while ensuring the growth consumption, thus it is easy to form a wide treering. Meanwhile, the total annual solar radiation can affect the radial growth of trees by affecting the temperature and precipitation. According to the geographical location and climate characteristics, Mt. Xinglong is located in the east, the most western end of the monsoon region, the boundary between semiarid and semihumid areas, which has a temperate and semihumid climate. Water is the main limiting factor of plant growth in this area. When the amount of precipitation is constant, if the amount of solar radiation increases, it will accelerate the evaporation of water and reduce the soil water content, thus limiting the normal growth of plants. In addition, changes in the total annual solar radiation will cause changes in temperature. Changes in temperature will directly affect photosynthesis, but also indirectly adjust the plant’s respiratory and transpiration, therefore, it also has an impact on the physical activity of trees. Thus, the width of treerings can truly record the favorable or unfavorable changes of solar radiation to its growth, and reflect the change of total annual solar radiation. Conclusions The treering width chronology of Mt. Xinglong can indicate the change in the total amount of annual radiation in the region for a period of 1970—2016. The radial growth of Pinus tabulaeformis Carr. is more sensitive to the change of total annual radiation. It further indicated that the tree chronology has a certain significance to the total annual radiation in the study area. According to the reconstruction results in the study area from 1640 to 2015, the annual total amount of radiation shows significant interannual fluctuations during the past 376 years. And there are periods below average during the reconstruction period: 1646—1668, 1705—1727, 1739—1751, 1758—1774, 1832—1846, 1856—1875, 1923—1944, 1984—2010; there are higher periods: 1683—1704, 1728—1738, 1752—1757, 1775—1812, 1876—1922, 1945—1983. The rest years’ values are close to the average. At the same time, there is a high frequency of extremes, of which 70 years are very high and 68 years are very low, accounting for 18.67% and 18.04% of the total period (1640—2016) respectively. Recommendations and perspectives Due to the shortage of historical data related to annual radiation in this area, historical records can not be used to corroborate the reliability of the results. Therefore, future research on historical solar radiation in this region is still very necessary. 
Key words: Mt. Xinglong Pinus tabulaeformis Carr. treering width total annual solar radiation reconstruction correlation 



