A Wavelet Analysis of Scientific Papers and Time Dependent Factors: A Scientometric Look

K. Zaman
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Abstract

In this study, we use wavelet approach to study the scientific research papers received by two journals i.e., i) Journal of Informetrics and ii) Research Policy, by using monthly observations during the period of 1970:2 to 2010:2 from article received history of both publishers database. Instead of analyzing the time series at their original level, as it is usually done, this study decompose the two variables i.e., scientific papers and the  time dependent factors at various scales of resolution using wavelet decomposition and then we study the relationships among the decomposed series matched to their scales. A major finding of the study is that some variations in received articles explained by many other time dependent factors that are previously not captured due to uneven time lags, therefore, an estimate with a time trend is made in this study. Both variables are not constant over frequency bands as it depends on the time scales. The two series (i.e., Springer and time factors) are correlated at higher frequencies, but their correlations measures in time dimension do not last long. However, during two structural breaks i.e., 1990-1995 and 2007-2011, the two time series seems to be correlated for longer period with frequency band higher than 321days. The results further provides an evidence that the two time series are in phase and the Elsevier scientific papers are time dependent in the long run. Thus, the analysis of wavelet coherence reveal that the two series i.e., scientific papers and time dependent factors correlated during the sample period.
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科学论文和时间相关因素的小波分析:科学计量学的观点
在本研究中,我们使用小波分析方法研究了两种期刊(i) Journal of informmetrics和ii) research Policy在1970:2至2010:2期间的月度观测数据。本文采用小波分解的方法,对不同分辨率尺度下的科学论文和时间相关因子两个变量进行分解,研究分解后的序列与其尺度匹配的关系,而不是像以往那样对原始水平的时间序列进行分析。本研究的一个主要发现是,收到的文章中的一些变化是由许多其他时间相关因素解释的,这些因素以前由于不均匀的时间滞后而没有被捕获,因此,在本研究中进行了时间趋势估计。这两个变量在频带上不是恒定的,因为它取决于时间尺度。这两个序列(即施普林格和时间因子)在较高的频率上是相关的,但它们在时间维度上的相关性测量持续时间不长。但在1990-1995年和2007-2011年两个结构断裂期间,两个时间序列的相关性似乎更长,频带高于321天。结果进一步证明,这两个时间序列是同一阶段的,从长远来看,爱思唯尔的科学论文是时间依赖的。因此,小波相干性分析表明,在样本周期内,科学论文和时间相关因子两个序列具有相关性。
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