我们在文献\paperone{}的持续同调分析基础上，将研究范围扩展至完整的罗马—拜占庭贸易网络（0–1453 CE），使用2,599个节点和4,503条经ORBIS地理空间网络模型校准的三模边。报告五项结果：（i）文献\paperone{}中$H_t{=}0$的西部子网络结果系数据覆盖不足所致；在完整西部表征下（$N_{\rm west}=987$，$β_1\approx52$个循环/十年），自0 CE起即存在+2.22单位的东西部熵差基线，并以$+3.3\times10^{-3}$ yr$^{-1}$速率增长，早于狄奥多西分治约四世纪；（ii）度异质网络中的“枢纽选择偏差”可逆转推断所得第三阶段斜率符号，故需全样本覆盖或分层抽样以实现可靠的结构突变检测；（iii）将拜占庭韧性分解为地理分量（$H_{\rm geo}$）与经济分量（$H_{\rm eco}$），揭示其解耦比$R_d = H_{\rm eco}/H_{\rm geo}$于620 CE达峰值47.7，至640 CE降至13.9，从而以两种不同时间尺度运行的网络层级之对比，量化了McCormick–Ward-Perkins史学论争；（iv）十年间$W_2$ Wasserstein速度识别出晚期罗马—早期拜占庭转型期（495 CE）为1,453年记录中拓扑速度最高的事件；十字网络Wasserstein比值在1082 CE《金玺诏书》颁布后增长150–300倍，提供了$R_d$在图式空间中的独立类比；西部崩溃（476 CE）与拜占庭终点（1453 CE）均发生于$H^{\ast}\approx0.524$，被解释为候选拓扑渗流阈值。

We extend the persistent homology analysis of~\paperone{} to the full Roman--Byzantine trade network (0--1453\,\textsc{ce}), using 2{,}599 nodes and 4{,}503 trimodal edges calibrated against the \textsc{orbis} Geospatial Network Model. Five results are reported. % (i)~The $H_t{=}0$ western sub-network result of~\paperone{} is a data-coverage artifact: with full western representation ($N_{\rm west}=987$, $β_1\approx52$ cycles per decade) a baseline East--West entropy gap of $+2.22$ units is present from 0\,\textsc{ce} and grows at $+3.3\times10^{-3}$\,yr$^{-1}$, predating the Theodosian partition by four centuries. % (ii)~A \emph{hub-selection artifact} in degree-heterogeneous networks can reverse the sign of the inferred Phase~III slope, requiring full-coverage or stratified sampling for reliable structural-break detection. % (iii)~Decomposing Byzantine resilience into geographic ($H_{\rm geo}$) and economic ($H_{\rm eco}$) components reveals a peak decoupling ratio $R_d = H_{\rm eco}/H_{\rm geo} = 47.7$ at 620\,\textsc{ce}, falling to 13.9 at 640\,\textsc{ce}, quantifying the McCormick--Ward-Perkins historiographical debate as a contrast between two network layers operating on different timescales. % (iv)~The inter-decade $W_2$ Wasserstein velocity identifies the Late Roman--Early Byzantine transition (495\,\textsc{ce}) as the highest topological-velocity event of the 1,453-year record; the cross-network Wasserstein ratio increases by $150$--$300\times$ after the Chrysobull of 1082\,\textsc{ce}, providing an independent diagram-space analogue of $R_d$. Both the Western collapse (476\,\textsc{ce}) and the Byzantine endpoint (1453\,\textsc{ce}) occur at $H^{\ast}\approx0.524$, interpreted as a candidate topological percolation threshold.