Dominic Kirsten, 45, a cell site analyst, was giving evidence at the trial of Colin Coats, 42; David Parker, 38; Paul Smith, 47; and Philip Wade, 42, who all deny abducting, torturing and murdering Ms Spence at a flat in Meadowfoot Road, West Kilbride, between April 14 and 28, 2011.
Mr Kirsten told the High Court in Glasgow he had analysed calls and texts made from phones attributed to Ms Spence and the four accused from March 14 to June 2, 2011.
He was asked by solicitor general Lesley Thomson, QC, prosecuting, if he had discovered where the phones were on April 14, 2011 – the day Ms Spence disappeared – and replied that he had.
Ms Spence, who was 27 when she disappeared, was reported missing by her parents in May 2011.
Mr Kirsten, a telecommunications expert, told the court that until just before 5pm on April 14, 2011, Ms Spence's phone was in the Glasgow area. He added: "Between 16.55 and 18.12, Lynda Spence's phone left Glasgow and travelled to the West Kilbride area."
Mr Kirsten said until 4.55pm, Coats's and Wade's mobiles were also in the Glasgow area and travelled to West Kilbride. He said: "The phone attributed to Colin Coats was in the Broomhill area of Glasgow until 4.55pm. At 6.45pm, the first call which came through was sited in West Kilbride."
The court heard Wade's mobile was in the West Kilbride area at 6.15pm.
Smith's phone was located in the Largs area in the morning but, by 5.25pm, it had moved to West Kilbride. And the phone of Parker, who lived in West Kilbride, was there between 4.30pm and 5.30pm.
The court heard that between 6.50pm and 7.34pm the phones of Ms Spence and Coats left West Kilbride and travelled to Glasgow.
The next morning both phones were in the Broomhill area of Glasgow.
The trial continues.