Efficient ensemble forecasting of marine ecology with clustered 1D models and statistical lateral exchange: application to the Red Sea

Forecasting the state of large marine ecosystems is important for many economic and public health applications. However, advanced three-dimensional (3D) ecosystem models, such as the European Regional Seas Ecosystem Model (ERSEM), are computationally expensive, especially when implemented within an ensemble data assimilation system requiring several parallel integrations. As an alternative to 3D ecological forecasting systems, we propose to implement a set of regional one-dimensional (1D) water-column ecological models that run at a fraction of the computational cost. The 1D model domains are determined using a Gaussian mixture model (GMM)-based clustering method and satellite chlorophyll-a (Chl-a) data. Regionally averaged Chl-a data is assimilated into the 1D models using the singular evolutive interpolated Kalman (SEIK) filter. To laterally exchange information between subregions and improve the forecasting skills, we introduce a new correction step to the assimilation scheme, in which we assimilate a statistical forecast of future Chl-a observations based on information from neighbouring regions. We apply this approach to the Red Sea and show that the assimilative 1D ecological models can forecast surface Chl-a concentration with high accuracy. The statistical assimilation step further improves the forecasting skill by as much as 50%. This general approach of clustering large marine areas and running several interacting 1D ecological models is very flexible. It allows many combinations of clustering, filtering and regression technics to be used and can be applied to build efficient forecasting systems in other large marine ecosystems.

[1]  Dinh-Tuan Pham,et al.  An adaptively reduced-order extended Kalman filter for data assimilation in the tropical Pacific , 2004 .

[2]  G. Triantafyllou,et al.  Impact of the river nutrient load variability on the North Aegean ecosystem functioning over the last decades , 2014 .

[3]  T. Neumann,et al.  Introduction to the Modelling of Marine Ecosystems , 2014 .

[4]  Ibrahim Hoteit,et al.  Remote Sensing the Phytoplankton Seasonal Succession of the Red Sea , 2013, PloS one.

[5]  G. Radach,et al.  Long-term simulation of the eutrophication of the North Sea: temporal development of nutrients, chlorophyll and primary production in comparison to observations , 1997 .

[6]  Ibrahim Hoteit,et al.  Assessing a robust ensemble-based Kalman filter for efficient ecosystem data assimilation of the Cretan Sea , 2013 .

[7]  Ibrahim Hoteit,et al.  Phytoplankton phenology indices in coral reef ecosystems: Application to ocean-color observations in the Red Sea , 2015 .

[8]  Timothy P. Boyer,et al.  World ocean atlas 2013. Volume 4, Dissolved inorganic nutrients (phosphate, nitrate, silicate) , 2013 .

[9]  Adrian E. Raftery,et al.  Model-Based Clustering, Discriminant Analysis, and Density Estimation , 2002 .

[10]  Trevor Hastie,et al.  An Introduction to Statistical Learning , 2013, Springer Texts in Statistics.

[11]  P. Burkill,et al.  Planktonic community structure and carbon cycling in the Arabian Sea as a result of monsoonal forcing: the application of a generic model , 2002 .

[12]  Ibrahim Hoteit,et al.  A singular evolutive interpolated Kalman filter for efficient data assimilation in a 3-D complex physical biogeochemical model of the Cretan Sea , 2003 .

[13]  I. Hoteit,et al.  Comparison of chlorophyll in the Red Sea derived from MODIS-Aqua and in vivo fluorescence , 2013 .

[14]  Mark J. Brush,et al.  Toward Ecosystem-Based Fisheries Management , 2003 .

[15]  Ibrahim Hoteit,et al.  Mitigating Observation Perturbation Sampling Errors in the Stochastic EnKF , 2015 .

[16]  Stefano Ciavatta,et al.  Can ocean color assimilation improve biogeochemical hindcasts in shelf seas , 2011 .

[17]  I. Hoteit,et al.  Eastern Mediterranean biogeochemical flux model : simulations of the pelagic ecosystem , 2006 .

[18]  E. Boss,et al.  Regional ocean-colour chlorophyll algorithms for the Red Sea , 2015 .

[19]  Marco Zavatarelli,et al.  The dynamics of the Adriatic Sea ecosystem. An idealized model study , 2000 .

[20]  D. Pham Stochastic Methods for Sequential Data Assimilation in Strongly Nonlinear Systems , 2001 .

[21]  Dinh-Tuan Pham,et al.  A simplified reduced order Kalman filtering and application to altimetric data assimilation in Tropical Pacific , 2002 .

[22]  Filtering remotely sensed chlorophyll concentrations in the Red Sea using a space–time covariance model and a Kalman filter , 2015 .

[23]  Ibrahim Hoteit,et al.  Exploring the Red Sea seasonal ecosystem functioning using a three‐dimensional biophysical model , 2014 .

[24]  H. Weikert CHAPTER 5 – Plankton and the Pelagic Environment , 1987 .

[25]  Ibrahim Hoteit,et al.  Regional ocean data assimilation. , 2015, Annual review of marine science.

[26]  Ibrahim Hoteit,et al.  The Gulf of Aden Intermediate Water Intrusion Regulates the Southern Red Sea Summer Phytoplankton Blooms , 2016, PloS one.

[27]  Thomas R. Anderson,et al.  Plankton functional type modelling : running before we can walk? , 2005 .

[28]  Gilles Faÿ,et al.  Características inmunológicas claves en la fisiopatología de la sepsis. Infectio , 2009 .

[29]  Timothy J. Smyth,et al.  Assimilation of remotely-sensed optical properties to improve marine biogeochemistry modelling , 2014 .

[30]  J. G. Baretta-Bekker,et al.  Microbial dynamics in the marine ecosystem model ERSEM II with decoupled carbon assimilation and nutrient uptake , 1997 .

[31]  Donald M. Anderson,et al.  The catastrophic 2008-2009 red tide in the Arabian Gulf region, with observations on the identification and phylogeny of the fish-killing dinoflagellate Cochlodinium polykrikoides. , 2010 .

[32]  J. Beckers,et al.  EOF Calculations and Data Filling from Incomplete Oceanographic Datasets , 2003 .

[33]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[34]  P. Ruardij,et al.  The European regional seas ecosystem model, a complex marine ecosystem model , 1995 .

[35]  Laurent Bertino,et al.  Online tuning of ocean biogeochemical model parameters using ensemble estimation techniques: Application to a one-dimensional model in the North Atlantic , 2017 .

[36]  T. Miles,et al.  Temporal and spatial variability of Chl-a and SST on the South Atlantic Bight: Revisiting with cloud-free reconstructions of MODIS satellite imagery , 2010 .

[37]  William E. Johns,et al.  Observations of the summer Red Sea circulation , 2007 .

[38]  I. Hoteit,et al.  Assimilation of ocean colour data into a Biogeochemical Flux Model of the Eastern Mediterranean Sea , 2006 .

[39]  Jerry Blackford,et al.  Ecosystem dynamics at six contrasting sites: a generic modelling study , 2004 .

[40]  Ibrahim Hoteit,et al.  Seasonal overturning circulation in the Red Sea: 1. Model validation and summer circulation , 2014 .

[41]  Ibrahim Hoteit,et al.  Efficient data assimilation into a complex, 3-D physical-biogeochemical model using partially-local Kalman filters , 2005 .

[42]  A. Manica,et al.  Environmental gradients predict the genetic population structure of a coral reef fish in the Red Sea , 2014, Molecular ecology.

[43]  Ibrahim Hoteit,et al.  Seasonal overturning circulation in the Red Sea: 2. Winter circulation , 2014 .

[44]  Ibrahim Hoteit,et al.  Modelling the spatial and temporal variability of the Cretan Sea ecosystem , 2002 .

[45]  U. Sommer,et al.  Influence of environmental gradients on C and N stable isotope ratios in coral reef biota of the Red Sea, Saudi Arabia , 2014 .

[46]  L. Pettersson,et al.  Monitoring of Harmful Algal Blooms , 2012 .

[47]  I. Hoteit,et al.  A data assimilation tool for the Pagasitikos Gulf ecosystem dynamics: Methods and benefits , 2012 .

[48]  Alexander Barth,et al.  Enhancing temporal correlations in EOF expansions for the reconstruction of missing data using DINEOF , 2009 .