The features of large-scale circulation, storm tracks and the dynamical relationship between them were examined by investigating Rossby wave breaking (RWB) processes associated with Eastern Pacific (EP) and Centra...The features of large-scale circulation, storm tracks and the dynamical relationship between them were examined by investigating Rossby wave breaking (RWB) processes associated with Eastern Pacific (EP) and Central Pacific (CP) E1-Nifio. During EP E1-Nino, the geopotential height anomaly at 500 hPa (Z500) exhibits a Pacific-North America (PNA) pattern. During CP EI-Nifio, the Z500 anomaly shows a north positive-south negative pattern over the North Pacific. The anomalous distributions of baroclinicity and storm track are consistent with those of upper-level zonal wind for both EP and CP EI-Nino, suggesting impacts of mean flow on storm track variability. Anticyclonic wave breaking (AWB) oczurs less frequently in EP EI-Nino years, while cyclonic wave breaking (CWB) occurs more frequently in CP EI-Nino years over the North Pacific sector. Outside the North Pacific, more CWB events occur over North America during EP Ei-NiNo. When AWB events occur less frequently over the North Pacific during EP EI-Nino, Z500 decreases locally and the zonal wind is strengthened (weakened) to the south (north). This is because AWB events reflect a monopoie high anomaly at the centroid of breaking events. When CWB events occur more frequently over the North Pacific under CP EI-Nino conditions, and over North America under EP EI-Nino condition, Z500 increases (decreases) to the northeast (southwest), since CWB events are related to a northeast-southwest dipole Z500 anomaly. The anomalous RWB events act to invigorate and reinforce the circulation anomalies over the North Pacific-North America region linked with the two types of EI-Nino.展开更多
Storm surge inundation is a major concern in marine hazard risk assessment during extreme weather conditions.In this study,a high-resolution coupled model(the ADVanced CIRCulation model+the Simulating WAves Nearshore ...Storm surge inundation is a major concern in marine hazard risk assessment during extreme weather conditions.In this study,a high-resolution coupled model(the ADVanced CIRCulation model+the Simulating WAves Nearshore model)was used to investigate the storm surge inundation in the southwestern Hangzhou Bay region during Typhoon Chan-hom in 2015.The simulated hydrodynamic processes(sea surface wave and storm tide)were validated with measured data from wave buoys and tide gauges,indicating that the overall performance of the model was satisfactory.The storm surge inundation in the coastal area was simulated for several idealized control experiments,including different wave effects(wave-enhanced wind stress,wave-enhanced bottom stress,and wave radiation stress).Dike overflowing cases with different dike heights and dike breaking cases with different dike breach lengths were considered in the simulation.The results highlight the necessity of incorporating wave effects in the accurate simulation of storm surge inundation.Dike height significantly influences the magnitude and phase of the maximum inundation area in the dike overflowing cases,and dike breach length is an important factor impacting the magnitude of the maximum inundation area in the dike breaking cases.This study may serve as a useful reference for accurate coastal inundation simulation and risk assessment.展开更多
This paper reviews and discusses the current research status, trends, and future needs in the field of beach morphodynamics under the influence of storm sequences.The paper reviews how the three main research methods,...This paper reviews and discusses the current research status, trends, and future needs in the field of beach morphodynamics under the influence of storm sequences.The paper reviews how the three main research methods, field investigations, numerical modelling, and physical modelling, have been used to study beach morphodynamics during storm sequences.Available quantitative definitions of storm sequences at different sites are presented and discussed.It is shown that the definition of storm sequences is site-specific and requires knowledge of the storm climate, beach characteristics, and the temporal scale of beach recovery.Subsequently, the paper brings together currently available approaches aimed at describing the effect of storm sequences on beach erosion in a general way.The importance of storm chronology and the effects of an extreme storm within a sequence of storms are highlighted.Following that, the more poorly studied aspect of beach recovery in between storms within a sequence is discussed.Three indicators for defining beach recovery, namely the shoreline location, sediment volumes, and the beach state, are identified and compared.Finally, important research needs, including the need for detailed physical modelling, are identified.展开更多
Storm surge is one of the predominant natural threats to coastal communities. Qingdao is located on the southern coast of the Shandong Peninsula in China. The storm surge disaster in Qingdao depends on various influen...Storm surge is one of the predominant natural threats to coastal communities. Qingdao is located on the southern coast of the Shandong Peninsula in China. The storm surge disaster in Qingdao depends on various influencing factors such as the intensity, duration, and route of the passing typhoon, and thus a comprehensive understanding of natural coastal hazards is essential. In order to make up the defects of merely using the warning water level, this paper presents two statistical distribution models(Poisson Bi- variable Gumbel Logistic Distribution and Poisson Bi-variable Log-normal Distribution) to classify the intensity of storm surge. We emphasize the joint return period of typhoon-induced water levels and wave heights measured in the coastal area of Qingdao since 1949. The present study establishes a new criterion to classify the intensity grade of catastrophic storms using the typhoon surge estimated by the two models. A case study demonstrates that the new criterion is well defined in terms of probability concept, is easy to implement, and fits well the calculation of storm surge intensity. The procedures with the proposed statistical models would be useful for the disaster mitigation in other coastal areas influenced by typhoons.展开更多
During the maintained quiescence between solar cycle 23 and 24, two unusually intense (K-indices = 7) global geomagnetic disturbances separated by 6 days occurred. They were followed by a protracted increase of betwee...During the maintained quiescence between solar cycle 23 and 24, two unusually intense (K-indices = 7) global geomagnetic disturbances separated by 6 days occurred. They were followed by a protracted increase of between 150 and 200 nT in the vertical component of our local magnetic field (Sudbury, Ontario). The duration of the variation anomaly was unusually long, about 3 weeks, before returning to baseline following a one week period of below average intensity characterized by approximately 50 min periodicities. We suggest this anomaly supports previous research that specific temporal patterns of increased global geomagnetic activity when matched with local impedance/reluctance of ore bodies created the condition for remarkable transient changes in the surface static intensity of magnetic fields.展开更多
Using the variable separation approach, we obtain a general exact solution with arbitrary variable separation functions for the (2+1)-dimensional breaking soliton system. By introducing Jacobi elliptic functions in...Using the variable separation approach, we obtain a general exact solution with arbitrary variable separation functions for the (2+1)-dimensional breaking soliton system. By introducing Jacobi elliptic functions in the seed solution, two families of doubly periodic propagating wave patterns are derived. We investigate these periodic wave solutions with different modulus m selections, many important and interesting properties are revealed. The interaction of Jabcobi elliptic function waves are graphically considered and found to be nonelastic.展开更多
This paper has analysed the general solar-Terrestrial effect of major event in March, 1989 from 7 parameters using same time scale.The largest magnetic storm from AA index is compared on 8 stations of Changchun (43 ...This paper has analysed the general solar-Terrestrial effect of major event in March, 1989 from 7 parameters using same time scale.The largest magnetic storm from AA index is compared on 8 stations of Changchun (43 ° 49 ′ 38 ″ N), Beijing (40 ° 02′ 22 ″ N), Wuhan(30 ° 31 ′ 39 ″ N) and Guangzhou (23 ° 05′ 34 ″ N) in China and Newport of Washington (48. 263 ° N), Boulder of Colorado (40. 138 ° N), Fredericksburg of VA (38. 205 ° N) and Norda of Mississippi in U. S. A.The ARMA (p, q) Autoregressive slide average model is used to simulate the geomagnetic storm data in 4 stations of China. The periodicity analysis, characteristic root and equation are used. The different models and characters are shown and explained.展开更多
The accurate evaluation of maize stalk lodging resistance in different growth periods enables timely management of lodging risks and ensures stable and high maize yields.Here,we established five diferent sowing dates ...The accurate evaluation of maize stalk lodging resistance in different growth periods enables timely management of lodging risks and ensures stable and high maize yields.Here,we established five diferent sowing dates to create diferent conditions for maize growth.We evaluated the effects of the different growth conditions on lodging resistance by determining stalk morphology,moisture content,mechanical strength and dry matter,and the relationship between stalk breaking force and these indicators during the silking stage(R1),milk stage(R3),physiological maturity stage(R6),and 20 days after R6.Plant height at R1 positively affected stalk breaking force.At R3,the cofficient of ear height and the dry weight per unit length of basal internodes were key indicators of stalk lodging resistance.At R6,the key indicators were the coefficient of the center of gravity height and plant fresh weight.After R6,the key indicator was the coefficient of the center of gravity height.The crushing strength of the fourth internode correlated significanty and positively with the stalk breaking force from R1 to R6,which indicates that crushing strength is a reliable indicator of stalk mechanical strength.These results suggest that high stalk strength and low ear height beneft lodging resistance prior to R6.During and after R6,the cofficient of the center of gravity height and the mechanical strength of basal internodes can be used to evaluate plant lodging resistance and the appropriate time for harvesting in fields with a high lodging risk.展开更多
The attempt to obtain long-term observed data around some sea areas we concern is usually very hard or even impossible in practical offshore and ocean engineering situations. In this paper, by means of linear mean-squ...The attempt to obtain long-term observed data around some sea areas we concern is usually very hard or even impossible in practical offshore and ocean engineering situations. In this paper, by means of linear mean-square estimation method, a new way to extend short-term data to long-term ones is developed. The long-term data about concerning sea areas can be constructed via a series of long-term data obtained from neighbor oceanographic stations, through relevance analysis of different data series. It is effective to cover the insufficiency of time series prediction method's overdependence upon the length of data series, as well as the limitation of variable numbers adopted in multiple linear regression model. The storm surge data collected from three oceanographic stations located in Shandong Peninsula are taken as examples to analyze the number-selection effect of reference oceanographic stations(adjacent to the concerning sea area) and the correlation coefficients between sea sites which are selected for reference and for engineering projects construction respectively. By comparing the N-year return-period values which are calculated from observed raw data and processed data which are extended from finite data series by means of the linear mean-square estimation method, one can draw a conclusion that this method can give considerably good estimation in practical ocean engineering, in spite of different extreme value distributions about raw and processed data.展开更多
Based on ECMWF reanalysis data of 1979-1993 and TBB data of GMS,an analysis on the onset and its activities of the summer monsoon over the South China Sea (SCS) is made.It is found that the mean onset date is around 1...Based on ECMWF reanalysis data of 1979-1993 and TBB data of GMS,an analysis on the onset and its activities of the summer monsoon over the South China Sea (SCS) is made.It is found that the mean onset date is around 16 May,the latest onset is at beginning of June.There is a marked interannual variation of the onset date.There occurs marked southwesterly wind over the SCS in the last dekad of April in some years,but it only persists for a short period,and then,the easterly flow appears again.In the beginning of June,the true onset occurs.From the end of April to the middle of May prior to the onset,strong southwesterly wind appears to the north of 15°N over the SCS,which could not be treated as the onset of the SCS summer monsoon.These strong westerlies are due to the southward propagation of cold front or the strengthening of the subtropical high in the SCS.After the onset,there are active and break periods of the southwesterly summer monsoon,the average break period is about 15 days in one year (from onset of summer monsoon to 20 August).展开更多
The wave parameters(the wave height and period)are important environmental factors in the ocean engineering design.General numerical wave models,such as SWAN and WAVEWATCH,are widely employed to simulate the wave cond...The wave parameters(the wave height and period)are important environmental factors in the ocean engineering design.General numerical wave models,such as SWAN and WAVEWATCH,are widely employed to simulate the wave conditions.However,significant differences were observed between the measurement and the simulation for both the wave height and period,which asks for wave model improvements.The differences are mainly due to the uncertainty of parameterizing various physical processes,including the wave breaking.The energy transfer and loss during the wave breaking involves an important physical mechanism,and the energy dissipation and the period changes are not well studied.This paper studies the deep and shallow water wave breaking using the wave focusing and the slope platform random wave experiments.The characteristics of the wave periods under different conditions are studied in detail,including the period variation.The results show that the periods change during the wave propagation and breaking processes.The energy transfer caused by the strongly nonlinear interaction between the wave components,as well as the energy loss caused by the wave breaking,are the primary causes.The corresponding relationships are established by fitting the data.For the deep water breaking waves induced by the wave focusing,the spectrally averaged period(SAP)increases,and a positive correlation between the rate of change and the wave steepness is found.In the shallow water,the nonlinear interactions are stronger than in the deep water,the wave periods are significantly reduced,and a negative correlation between the rate of change and a nonlinear parameter is found.The inherent mechanism of the period variation is analyzed based on the energy spectrum distribution variations.The contributions of the nonlinear interactions and the wave breaking to the SAP evolution are discussed.展开更多
基金jointly supported by the National Natural Science Foundation of China(Grant No.41275068)the Special Fund for Meteorology Research in the Public Interest(Grant No.GYHY201106017)the 973 Program(Grant No.2010CB428504)
文摘The features of large-scale circulation, storm tracks and the dynamical relationship between them were examined by investigating Rossby wave breaking (RWB) processes associated with Eastern Pacific (EP) and Central Pacific (CP) E1-Nifio. During EP E1-Nino, the geopotential height anomaly at 500 hPa (Z500) exhibits a Pacific-North America (PNA) pattern. During CP EI-Nifio, the Z500 anomaly shows a north positive-south negative pattern over the North Pacific. The anomalous distributions of baroclinicity and storm track are consistent with those of upper-level zonal wind for both EP and CP EI-Nino, suggesting impacts of mean flow on storm track variability. Anticyclonic wave breaking (AWB) oczurs less frequently in EP EI-Nino years, while cyclonic wave breaking (CWB) occurs more frequently in CP EI-Nino years over the North Pacific sector. Outside the North Pacific, more CWB events occur over North America during EP Ei-NiNo. When AWB events occur less frequently over the North Pacific during EP EI-Nino, Z500 decreases locally and the zonal wind is strengthened (weakened) to the south (north). This is because AWB events reflect a monopoie high anomaly at the centroid of breaking events. When CWB events occur more frequently over the North Pacific under CP EI-Nino conditions, and over North America under EP EI-Nino condition, Z500 increases (decreases) to the northeast (southwest), since CWB events are related to a northeast-southwest dipole Z500 anomaly. The anomalous RWB events act to invigorate and reinforce the circulation anomalies over the North Pacific-North America region linked with the two types of EI-Nino.
基金supported by the National Key Research and Development Program of China(Nos.2016YFC140 2000,2016YFC1401002,and 2018YFC1407003)the National Natural Science Foundation of China(NSFC)(NosU1706216,41606024,and 41506023)+3 种基金the CAS(Chinese Academy of Sciences)Strategic Priority Project(No.XDA 19060202)the CAS Innovative Foundation(No.CXJJ-16M111)the NSFC Innovative Group(No.41421005)the NSFC-Shandong Joint Fund for Marine Science Research Centers(No.U1406402)
文摘Storm surge inundation is a major concern in marine hazard risk assessment during extreme weather conditions.In this study,a high-resolution coupled model(the ADVanced CIRCulation model+the Simulating WAves Nearshore model)was used to investigate the storm surge inundation in the southwestern Hangzhou Bay region during Typhoon Chan-hom in 2015.The simulated hydrodynamic processes(sea surface wave and storm tide)were validated with measured data from wave buoys and tide gauges,indicating that the overall performance of the model was satisfactory.The storm surge inundation in the coastal area was simulated for several idealized control experiments,including different wave effects(wave-enhanced wind stress,wave-enhanced bottom stress,and wave radiation stress).Dike overflowing cases with different dike heights and dike breaking cases with different dike breach lengths were considered in the simulation.The results highlight the necessity of incorporating wave effects in the accurate simulation of storm surge inundation.Dike height significantly influences the magnitude and phase of the maximum inundation area in the dike overflowing cases,and dike breach length is an important factor impacting the magnitude of the maximum inundation area in the dike breaking cases.This study may serve as a useful reference for accurate coastal inundation simulation and risk assessment.
基金supported by the EPSRC FloodMEMORY Project(Grant No.EP/K013513/1)the HYDRALAB~+ Integrated Infrastructure Initiative,RESIST(Contract No.654110)Horizon 2020,European Community
文摘This paper reviews and discusses the current research status, trends, and future needs in the field of beach morphodynamics under the influence of storm sequences.The paper reviews how the three main research methods, field investigations, numerical modelling, and physical modelling, have been used to study beach morphodynamics during storm sequences.Available quantitative definitions of storm sequences at different sites are presented and discussed.It is shown that the definition of storm sequences is site-specific and requires knowledge of the storm climate, beach characteristics, and the temporal scale of beach recovery.Subsequently, the paper brings together currently available approaches aimed at describing the effect of storm sequences on beach erosion in a general way.The importance of storm chronology and the effects of an extreme storm within a sequence of storms are highlighted.Following that, the more poorly studied aspect of beach recovery in between storms within a sequence is discussed.Three indicators for defining beach recovery, namely the shoreline location, sediment volumes, and the beach state, are identified and compared.Finally, important research needs, including the need for detailed physical modelling, are identified.
基金supported by the National Natural Science Foundation of China (Nos. 51279186,51479183)the National Program on Key Basic Research Project (2011CB013704)+1 种基金the 111 Project (B14028)the Marine and Fishery Information Center Project of Jiangsu Province (SJC2014110338)
文摘Storm surge is one of the predominant natural threats to coastal communities. Qingdao is located on the southern coast of the Shandong Peninsula in China. The storm surge disaster in Qingdao depends on various influencing factors such as the intensity, duration, and route of the passing typhoon, and thus a comprehensive understanding of natural coastal hazards is essential. In order to make up the defects of merely using the warning water level, this paper presents two statistical distribution models(Poisson Bi- variable Gumbel Logistic Distribution and Poisson Bi-variable Log-normal Distribution) to classify the intensity of storm surge. We emphasize the joint return period of typhoon-induced water levels and wave heights measured in the coastal area of Qingdao since 1949. The present study establishes a new criterion to classify the intensity grade of catastrophic storms using the typhoon surge estimated by the two models. A case study demonstrates that the new criterion is well defined in terms of probability concept, is easy to implement, and fits well the calculation of storm surge intensity. The procedures with the proposed statistical models would be useful for the disaster mitigation in other coastal areas influenced by typhoons.
文摘During the maintained quiescence between solar cycle 23 and 24, two unusually intense (K-indices = 7) global geomagnetic disturbances separated by 6 days occurred. They were followed by a protracted increase of between 150 and 200 nT in the vertical component of our local magnetic field (Sudbury, Ontario). The duration of the variation anomaly was unusually long, about 3 weeks, before returning to baseline following a one week period of below average intensity characterized by approximately 50 min periodicities. We suggest this anomaly supports previous research that specific temporal patterns of increased global geomagnetic activity when matched with local impedance/reluctance of ore bodies created the condition for remarkable transient changes in the surface static intensity of magnetic fields.
基金National Natural Science Foundation of China under Grant No.10272071the Natural Science Foundation of Zhejiang Province under Grant No.Y504111the Scientific Research Foundation of Huzhou University
文摘Using the variable separation approach, we obtain a general exact solution with arbitrary variable separation functions for the (2+1)-dimensional breaking soliton system. By introducing Jacobi elliptic functions in the seed solution, two families of doubly periodic propagating wave patterns are derived. We investigate these periodic wave solutions with different modulus m selections, many important and interesting properties are revealed. The interaction of Jabcobi elliptic function waves are graphically considered and found to be nonelastic.
文摘This paper has analysed the general solar-Terrestrial effect of major event in March, 1989 from 7 parameters using same time scale.The largest magnetic storm from AA index is compared on 8 stations of Changchun (43 ° 49 ′ 38 ″ N), Beijing (40 ° 02′ 22 ″ N), Wuhan(30 ° 31 ′ 39 ″ N) and Guangzhou (23 ° 05′ 34 ″ N) in China and Newport of Washington (48. 263 ° N), Boulder of Colorado (40. 138 ° N), Fredericksburg of VA (38. 205 ° N) and Norda of Mississippi in U. S. A.The ARMA (p, q) Autoregressive slide average model is used to simulate the geomagnetic storm data in 4 stations of China. The periodicity analysis, characteristic root and equation are used. The different models and characters are shown and explained.
基金Supported by the National Key Research and Development Program of China(2017YFD0300302)the earmarked fund for China Agriculture Research System(CARS-02-25)+1 种基金the Science and Technology Program of the Sixth Division of Xinjiang Production and Construction Corps in China(1703)the Agricultural Science and Technology Innovation Project of the Chinese Academy of Agricultural Sciences.
文摘The accurate evaluation of maize stalk lodging resistance in different growth periods enables timely management of lodging risks and ensures stable and high maize yields.Here,we established five diferent sowing dates to create diferent conditions for maize growth.We evaluated the effects of the different growth conditions on lodging resistance by determining stalk morphology,moisture content,mechanical strength and dry matter,and the relationship between stalk breaking force and these indicators during the silking stage(R1),milk stage(R3),physiological maturity stage(R6),and 20 days after R6.Plant height at R1 positively affected stalk breaking force.At R3,the cofficient of ear height and the dry weight per unit length of basal internodes were key indicators of stalk lodging resistance.At R6,the key indicators were the coefficient of the center of gravity height and plant fresh weight.After R6,the key indicator was the coefficient of the center of gravity height.The crushing strength of the fourth internode correlated significanty and positively with the stalk breaking force from R1 to R6,which indicates that crushing strength is a reliable indicator of stalk mechanical strength.These results suggest that high stalk strength and low ear height beneft lodging resistance prior to R6.During and after R6,the cofficient of the center of gravity height and the mechanical strength of basal internodes can be used to evaluate plant lodging resistance and the appropriate time for harvesting in fields with a high lodging risk.
基金financially supported by the National Natural Science Foundation of China(Grant Nos.51379195 and 41476078)the Natural Science Foundation of Shandong Province(Grant No.ZR2013EEM034)+2 种基金the Scientific Research Foundation of Science Technology Department of Zhejiang Province(Grant No.2015C34013)the Science Research Program of Zhoushan(Grant No.2014C41003)the Innovation Fund for Graduate Student of Shandong Province(Grant No.SDYY12152)
文摘The attempt to obtain long-term observed data around some sea areas we concern is usually very hard or even impossible in practical offshore and ocean engineering situations. In this paper, by means of linear mean-square estimation method, a new way to extend short-term data to long-term ones is developed. The long-term data about concerning sea areas can be constructed via a series of long-term data obtained from neighbor oceanographic stations, through relevance analysis of different data series. It is effective to cover the insufficiency of time series prediction method's overdependence upon the length of data series, as well as the limitation of variable numbers adopted in multiple linear regression model. The storm surge data collected from three oceanographic stations located in Shandong Peninsula are taken as examples to analyze the number-selection effect of reference oceanographic stations(adjacent to the concerning sea area) and the correlation coefficients between sea sites which are selected for reference and for engineering projects construction respectively. By comparing the N-year return-period values which are calculated from observed raw data and processed data which are extended from finite data series by means of the linear mean-square estimation method, one can draw a conclusion that this method can give considerably good estimation in practical ocean engineering, in spite of different extreme value distributions about raw and processed data.
基金the State Ministry of Science and Technology under the key project A of SCSMEXthe project of Chinese Academy of Sciences under Contract KZ951-408
文摘Based on ECMWF reanalysis data of 1979-1993 and TBB data of GMS,an analysis on the onset and its activities of the summer monsoon over the South China Sea (SCS) is made.It is found that the mean onset date is around 16 May,the latest onset is at beginning of June.There is a marked interannual variation of the onset date.There occurs marked southwesterly wind over the SCS in the last dekad of April in some years,but it only persists for a short period,and then,the easterly flow appears again.In the beginning of June,the true onset occurs.From the end of April to the middle of May prior to the onset,strong southwesterly wind appears to the north of 15°N over the SCS,which could not be treated as the onset of the SCS summer monsoon.These strong westerlies are due to the southward propagation of cold front or the strengthening of the subtropical high in the SCS.After the onset,there are active and break periods of the southwesterly summer monsoon,the average break period is about 15 days in one year (from onset of summer monsoon to 20 August).
基金Project supported by the National Key R&D Plan(Grant No.2016YFC1401405)the National Natural Science Foundation of China(Grant Nos.51779038,51279028).
文摘The wave parameters(the wave height and period)are important environmental factors in the ocean engineering design.General numerical wave models,such as SWAN and WAVEWATCH,are widely employed to simulate the wave conditions.However,significant differences were observed between the measurement and the simulation for both the wave height and period,which asks for wave model improvements.The differences are mainly due to the uncertainty of parameterizing various physical processes,including the wave breaking.The energy transfer and loss during the wave breaking involves an important physical mechanism,and the energy dissipation and the period changes are not well studied.This paper studies the deep and shallow water wave breaking using the wave focusing and the slope platform random wave experiments.The characteristics of the wave periods under different conditions are studied in detail,including the period variation.The results show that the periods change during the wave propagation and breaking processes.The energy transfer caused by the strongly nonlinear interaction between the wave components,as well as the energy loss caused by the wave breaking,are the primary causes.The corresponding relationships are established by fitting the data.For the deep water breaking waves induced by the wave focusing,the spectrally averaged period(SAP)increases,and a positive correlation between the rate of change and the wave steepness is found.In the shallow water,the nonlinear interactions are stronger than in the deep water,the wave periods are significantly reduced,and a negative correlation between the rate of change and a nonlinear parameter is found.The inherent mechanism of the period variation is analyzed based on the energy spectrum distribution variations.The contributions of the nonlinear interactions and the wave breaking to the SAP evolution are discussed.