Relational Fractal Dimension: From the Complexity of Psychological Interview to the Emergence of the Therapeutic Relationship.

IF 0.6 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Nonlinear Dynamics Psychology and Life Sciences Pub Date : 2022-01-01
Jacopo Biraschi
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Abstract

The psychological interview is a complex system which emerges from the interaction of its components, i.e., the patient and the psychologist; therefore, it is presumed to display a fractal structure whose dimension defines its level of complexity. This paper presents a pilot study for a new evaluative methodology of the fractal dimension in the psychological interview: the analysis of 4 psychological interviews led to the determination of their fractal dimension, defined by the amount of verbal content produced. The conversational turn-taking naturally established in the patient-psychologist dyad divides the verbatim transcripts of the sessions into Relational Verbal Units (RVU), whose sizes are determined by the number of words which composes them. It was observed that the distribution of the RVUs in a size/frequency graph follows a power law distribution, from which it was possible to assess the Relational Fractal Dimension (RFD) of the interviews. The values obtained range from a minimum of 1.39 to a maximum of 1.50, an indicative range of self-organized criticality. Recursion is the simple process behind complexity, and it defines fractal patterns; the fractal dimension of a system characterizes its level of complexity, and its application in psychotherapy describes the therapeutic relationship as a nonlinear dynamic system endowed with self-organization and self-similarity.

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关系分维:从心理访谈的复杂性到治疗关系的出现。
心理访谈是一个复杂的系统,是由其组成部分(即患者和心理医生)相互作用而产生的;因此,假定它是一种分形结构,其维数决定了它的复杂程度。本文提出了一种新的心理访谈分形维数评价方法的初步研究:通过对4个心理访谈的分析,确定了他们的分形维数,分形维数由产生的言语内容的数量来定义。在患者-心理学家二元组合中自然建立的会话回合将会话的逐字记录划分为关系言语单位(RVU),其大小由组成它们的单词数量决定。可以观察到,rvu在大小/频率图中的分布遵循幂律分布,从中可以评估访谈的关系分形维数(RFD)。获得的值范围从最小的1.39到最大的1.50,这是自组织临界的指示范围。递归是复杂性背后的简单过程,它定义了分形模式;系统的分形维数表征其复杂程度,其在心理治疗中的应用将治疗关系描述为一个具有自组织和自相似性的非线性动态系统。
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来源期刊
CiteScore
1.40
自引率
11.10%
发文量
26
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