The tree is a symbol of essence of Life Paradigm. In this regard, Gabr and Dorrah have recently introduced a new symbolic-based flow aggregation and disaggregation modular approach for man-made and natural tree-shaped networks spread in all sciences and disciplines with emphasis to Engineering/technology and Science of Botany. The analysis has shown that these networks are formed from a separate or joint feet/head aggregation networks or head’/feet’ disaggregation networks. The study also highlighted that such modeling will provide an effective tool for establishing "open gates" for crossing the boundaries between various sciences. The objective of this paper will be three folds. The first objective is to build two general paradigms for the symbolic-based analogies between various flow aggregation and disaggregation tree-shaped networks between various sciences. The second objective is to extend and implement the suggested paradigms of crossing the boundaries between sciences as a whole incorporating water science for both feet/head aggregation water basins and head'/feet' disaggregation tree-shaped irrigation networks. The third objective is to commence in building morphological and topological features categorization systems including some selected shapes of considered sciences. Three tree-shaped morphological-based bifurcation ratios are considered based on the total number of branches per order, the total sum of lengths of branches per order and the total basin area (or volume) of branches sub-areas (sub-volumes) per order. It is shown that the inherited heredity features of natural tree-shaped networks in various sciences could be easily captured through appropriate network morphological analysis. The results could be used for testing their heredity similarity and matching with other natural trees groups through newly defined Heredity Factors and Heredity Index. Finally, the first Heredity Index map is successfully delineated for a group of 8 natural tree-shaped watersheds networks demonstrating the applicability and effectiveness of the suggested heredity similarity testing approach.

树是生命范式本质的象征。在这方面，Gabr 和 Dorrah最近引入了一种新的基于符号的流聚合和分解模块化方法，用于在所有科学和学科中传播的人造和自然树形网络，重点是工程/技术和植物学科学。分析表明，这些网络是由单独的或联合的脚/头聚合网络或头'/脚'分解网络形成的。该研究还强调，这种建模将为建立“开放大门”提供有效工具。“ 跨越各种科学之间的界限。本文的目标将是三个方面。第一个目标是为各种科学之间的各种流聚合和分解树形网络之间的基于符号的类比建立两个通用范式。第二个目标目标是扩展和实施跨越科学之间边界的建议范式，将水科学作为一个整体纳入英尺/头聚合水流域和头'/英尺'分解树形灌溉网络。第三个目标是开始建设形态和拓扑特征分类系统，包括一些被考虑的科学的选定形状。三个树形基于形态的分叉比是基于每个阶的分支总数、每个阶的分支长度的总和以及每个阶的分支子区域（子体积）的总流域面积（或体积）来考虑的。结果表明，通过适当的网络形态分析，可以很容易地捕获各种科学中自然树状网络的遗传特征。结果可用于通过新定义的遗传因子和遗传指数测试它们的遗传相似性和与其他天然树群的匹配。最后，第一个遗传指数 成功描绘了一组 8 个自然树形流域网络的地图，证明了建议的遗传相似性测试方法的适用性和有效性。