Step 3. Calculate the error of each node Ej using eqn : dj - yj if j is an output node ej —
where dj is a desired output of node j. • Step 4. Relax the error-propagation of the RBP to find the fixed point zj using eqn :
td 'a ) = - Zj(t) + X a\ X wuyi(t) + xt (t) ) WjkZk(t)
where a9 (.) is the time derivative of the activation function.
Step 5. Update the weights using eqns  and : Aw,j = r)8jyi 
Various models were presented to learn time-series data using recurrent algorithms. Connectivity among the computation nodes was accordingly designed to extract information on ecological time processes and to predict future development of ecological systems.
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