Table 2 The optimal function expression of resilience curve for urban agglomerations.
From: Quantitative simulation and verification of the tourism economic resilience in urban agglomerations
Classification | Urban agglomeration | The optimal function expression |
|---|---|---|
National-level | BTH | \({\text{P}}_{{\text{t}}} { = }{ - }{59}{{.99 + 0}}{.02963*(\text{t} + 24}.17) + \{\text{ e}^{{\left| { - 0.001286{\text{*sin}}\left( {0.6659{*}\left( {{\text{t}} + 24.17} \right)} \right)} \right|}} { - }{{1}}\}\) |
YRD | \({\text{P}}_{{\text{t}}} { = }{ - }{67}{{.35 + 0}}{{.02958*(\text{t} + 276}}{{.7) + \{ e}}^{{\left| {0.001202{\text{*sin}}\left( {0.6624{*}\left( {{\text{t}} + 276.7} \right)} \right)} \right|}} { - }{\text{1}}\}\) | |
PRD | \({\text{P}}_{{\text{t}}} { = }{ - }{61}{\text{.92 + 0}}{{.02469*({\text{t}} + 508}}{.6) + \{ \text{e}}^{{\left| {0.03084{\text{*sin}}\left( {0.5353{*}\left( {{\text{t}} + 508.6} \right)} \right)} \right|}} { - }{\text{1}}\}\) | |
CY | \({\text{P}}_{{\text{t}}} { = }{ - }{57}{\text{.81 + 0}}.02439*(t + 367) + \{ {\text{e}}^{{\left| {{ }0.01903{\text{*sin}}\left( {0.3195{*}\left( {{\text{t}} + 367} \right)} \right)} \right|}} { - }{\text{1}}\}\) | |
MRYR | \({\text{P}}_{{\text{t}}} { = 1}{ - }{35}{\text{.48 + 0}}{\text{.01928*(t}}{ - }{161}.5) + \{ {\text{e}}^{{\left| {{ }0.004067{\text{*sin}}\left( {1.009{*}\left( {{\text{t}} - 161.5} \right)} \right)} \right|}} { - }{\text{1}}\}\) | |
Regional-level | SDP | \({\text{P}}_{{\text{t}}} { = }{ - }{42}{\text{.13 + 0}}{\text{.01917*(t + 198}}.8) + \{ {\text{e}}^{{\left| {0.01301{\text{*sin}}\left( {0.3372{*}\left( {{\text{t}} + 198.8} \right)} \right)} \right|}} { - }{\text{1}}\}\) |
YMZ | \({\text{P}}_{{\text{t}}} { = }{ - }{34}{\text{.52 + 0}}{\text{.01305*(t + 648}}.9) + \{ {\text{e}}^{{\left| {{ }0.05547{\text{sin}}\left[ {0.2145\left( {{\text{t + 231}}{.4}} \right)} \right]} \right|}} { - }{\text{1}}\}\) | |
ZY | \({\text{P}}_{{\text{t}}} { = }{ - }{31}{\text{.87 + 0}}{\text{.01545*(t + 63}}.2) + \{ {\text{e}}^{{\left| { - 0.00103{\text{*sin}}\left( { - 0.3785{*}\left( {{\text{t}} + 63.2} \right)} \right)} \right|}} { - }{\text{1}}\}\) | |
GZ | \({\text{P}}_{{\text{t}}} { = }{ - }{38}{\text{.51 + 0}}{\text{.01883*(t + 42}}.53) + \{ {\text{e}}^{{\left| { - 0.01177{\text{*sin}}\left( {0.9623{*}\left( {{\text{t}} + 42.53} \right)} \right)} \right|}} { - }{\text{1}}\}\) | |
CSL | \({\text{P}}_{{\text{t}}} { = }{ - }{31}{\text{.88 + 0}}{\text{.01491*(t + 138}}.8) + \{ {\text{e}}^{{\left| {0.02965{\text{*sin}}\left( {0.3484{*}\left( {{\text{t}} + 138.8} \right)} \right)} \right|}} { - }{\text{1}}\}\) | |
HC | \({\text{P}}_{{\text{t}}} { = }{ - }{35}{\text{.39 + 0}}{\text{.01671*(t + 116}}.8) + \{ {\text{e}}^{{\left| {0.01101{\text{*sin}}\left( {0.4829{*}\left( {{\text{t}} + 116.8} \right)} \right)} \right|}} { - }{\text{1}}\}\) | |
NG | \({\text{P}}_{{\text{t}}} { = }{ - }{30}{\text{.09 + 0}}{\text{.01509*(t}}{ - }{6}.05) + \{ {\text{e}}^{{\left| {0.008731{\text{*sin}}\left( {0.9139{*}\left( {{\text{t}} - 6.05} \right)} \right)} \right|}} { - }{\text{1}}\}\) | |
Prefecture-level | DZ | \({\text{P}}_{{\text{t}}} { = }{ - }{45}{\text{.45 + 0}}{\text{.02267*(t + 0}}.7178) + \{ {\text{e}}^{{\left| {0.02252{\text{*sin}}\left( {0.7771{*}\left( {{\text{t}} + 0.7178} \right)} \right)} \right|}} { - }{\text{1}}\}\) |
QZ | \({\text{P}}_{{\text{t}}} { = }{ - }{107}{\text{.3 + 0}}{\text{.03459*(t + 1093)}} + \{ {\text{e}}^{{\left| {0.1577{\text{*sin}}\left( {0.1819{*}\left( {{\text{t}} + 1093} \right)} \right)} \right|}} { - }{\text{1}}\}\) | |
JZ | \({\text{P}}_{{\text{t}}} { = }{ - }{33}{\text{.46 + 0}}{\text{.01796*(t}}{ - }{139}.5) + \{ {\text{e}}^{{\left| {0.01601{\text{*sin}}\left( {0.551{*}\left( {{\text{t}} - 139.5} \right)} \right)} \right|}} { - }{\text{1}}\}\) | |
HBEY | \({\text{P}}_{{\text{t}}} { = - 43}{\text{.38 + 0}}{\text{.02069*(t + 95}}.28) + \{ {\text{e}}^{{\left| {0.003227{\text{*sin}}\left( {0.4358{*}\left( {{\text{t}} + 95.28} \right)} \right)} \right|}} {\text{ - 1}}\}\) | |
NXAY | \({\text{P}}_{{\text{t}}} { = }{ - }{21}{\text{.69 + 0}}{\text{.009852*(t + 201)}} + \{ {\text{e}}^{{\left| {0.01055{\text{*sin}}\left( {0.2059{*}\left( {{\text{t}} + 201} \right)} \right)} \right|}} { - }{\text{1}}\}\) | |
LX | \({\text{P}}_{{\text{t}}} { = }{ - }{28}{\text{.72 + 0}}{\text{.01351*(t + 124}}.1) + \{ {\text{e}}^{{\left| { - 0.01383{\text{*sin}}\left( {0.7439{*}\left( {{\text{t}} + 124.1} \right)} \right)} \right|}} { - }{\text{1}}\}\) |
